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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: Sofia, Sophia, Benjamin, Michael, Luke, Charlotte, Matthew, Sebastian, and Samuel. \"((Matthew is a villain or Charlotte is a hero or Luke is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1644, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 5], [\"lying\", 4]], [\"telling-truth\", 6]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 4]], [\"not\...
{"split": "train", "index": 17200}
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: Jackson, Lucas, Grace, Sophia, Lily, Olivia, Matthew, Zoey, and Sofia. Jackson was heard saying, \"(Lucas is a hero if and only if (Zoey is a hero)) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1645, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"lying\", 4]]]], [\"not\", [\"not\", [\"lying\", 5]]], [\"or\"...
{"split": "train", "index": 17201}
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: Zoey, Evelyn, David, Aria, Penelope, Ethan, Scarlett, Isabella, and Olivia. Zoey expressed that ((if Evelyn is a hero then Penelope is a hero) or (Sc...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1646, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]], [\"telling-tr...
{"split": "train", "index": 17202}
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, Logan, Amelia, Benjamin, David, Aiden, Jacob, Sofia, and Samuel. Scarlett said that ((David is a villain) or (Scarlett is a hero or Aiden i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1647, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"...
{"split": "train", "index": 17203}
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: Jackson, Lily, Sebastian, Joseph, Zoey, Avery, Matthew, Ava, and Jacob. Jackson said that Jacob is a laggard or (it is not the case that (Avery...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1648, \"statements\": [[\"or\", [\"lying\", 8], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"->\", [\"lying\"...
{"split": "train", "index": 17204}
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: David, Matthew, Benjamin, Riley, Logan, Sebastian, Lily, Owen, and Daniel. David commented, \"((Owen is a pioneer and Benjamin is a pioneer and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1649, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", ...
{"split": "train", "index": 17205}
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, Sophia, Riley, Jackson, Amelia, Harper, Evelyn, Mason, and Victoria. In Matthew's words: \"it is not the case that (Jackson is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1650, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 7]]]], [\"or\", [\"and\", [\"ly...
{"split": "train", "index": 17206}
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, Jacob, Elizabeth, Luke, Ella, Aria, Aurora, Sophia, and Sebastian. Emily said that Aria is an egoist or (if Elizabeth is an egoist then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1651, \"statements\": [[\"or\", [\"lying\", 5], [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\", 3]]], [\"lying\", 0], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]...
{"split": "train", "index": 17207}
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, Zoey, Victoria, Sebastian, William, Michael, Olivia, Jack, and Avery. In James's words: \"(it is not the case that (Sebastian is a saint)) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1652, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\", 4]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 6]], [\"lying\", 3...
{"split": "train", "index": 17208}
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, Amelia, Charlotte, William, Benjamin, Jack, Oliver, Lily, and Lucas. Ella noted, \"it is not the case that (if William is an altruist the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1653, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\...
{"split": "train", "index": 17209}
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, Jack, Aria, Joseph, Jackson, Sophia, Logan, James, and Benjamin. Ethan commented, \"it is not the case that (if (Jackson is a hero) then Josep...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1654, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 4]], [\"lying\", 3]]], [\"lying\", 3], [\"or\", [\"lying\", 6], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 8], [\"te...
{"split": "train", "index": 17210}
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, David, Ella, Ava, Luke, William, Noah, Ethan, and Victoria. \"if ((David is an egoist) and (if David is an altruist then William is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1655, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 5], [\"ly...
{"split": "train", "index": 17211}
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, Penelope, Zoey, Samuel, Owen, Isabella, Matthew, Michael, and Benjamin. Amelia stated, \"(if (Amelia is a laggard) then (Michael is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1656, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]],...
{"split": "train", "index": 17212}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: James, Charlotte, Sebastian, Jackson, Grace, Samuel, Isabella, Mason, and Henry. James told you that it is not the case that ((Sebastian is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1657, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]]], [\"lying\", 4], [\"lying\", 6...
{"split": "train", "index": 17213}
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, James, Olivia, Avery, William, Ella, Samuel, Abigail, and Jacob. \"(if (William is a sage if and only if James is a fool) then (if James is a sage t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1658, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"not\", [\"n...
{"split": "train", "index": 17214}
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: Jacob, Alexander, Liam, Mia, Lucas, Benjamin, Noah, Olivia, and Ethan. In Jacob's words: \"it is not the case that ((if Olivia is a hero then Benjami...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1659, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 4]]]], [\"<=>\", [\"t...
{"split": "train", "index": 17215}
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: Samuel, Benjamin, Victoria, Amelia, Lucas, Matthew, Owen, William, and Emma. Samuel was heard saying, \"Lucas is a sage\". Benjamin commented, \"if (if (Wi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1660, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"not\", [\"lying\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]]]], [\"or\", [\...
{"split": "train", "index": 17216}
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: Henry, Grace, Ella, Lily, Chloe, Logan, Samuel, Penelope, and Abigail. \"Ella is a sage,\" Henry mentioned. As Grace put it, \"((Penelope is a fool or Chlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1661, \"statements\": [[\"not\", [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"lying\", 6], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"or...
{"split": "train", "index": 17217}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Victoria, Olivia, Ella, Ava, Emma, Michael, Oliver, Samuel, and Sebastian. \"Emma is a knight,\" Victoria mentioned. Olivia said, \"Oliver is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1662, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 6], [\"or\", [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 0]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 1], ...
{"split": "train", "index": 17218}
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: Aiden, Jack, Sophia, Aria, Isabella, James, Ava, Alexander, and Ethan. Aiden remarked, \"if ((if Jack is an angel then Ethan is an angel) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1663, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"lying\", 8]], [\"or\", [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 0...
{"split": "train", "index": 17219}
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, Jackson, James, Samuel, Alexander, Ethan, Aurora, David, and Avery. Mason said that (James is a knight if and only if (if David is a knight th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1664, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"telling-truth\", 6]], [\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 4...
{"split": "train", "index": 17220}
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: Emma, Jack, Olivia, Matthew, Benjamin, Joseph, Victoria, Ella, and Aiden. Emma commented, \"if Joseph is a fool then ((if Matthew is a fool then Joseph is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1665, \"statements\": [[\"->\", [\"lying\", 5], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"telling-truth\", 7]]]], [\"lying\", 4], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 5]], [\"->\", [\"not\", [\"...
{"split": "train", "index": 17221}
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: Jacob, Chloe, Penelope, Aurora, Amelia, Owen, Ava, Matthew, and Grace. In Jacob's words: \"Amelia is a laggard\". In Chloe's words: \"((Owen is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1666, \"statements\": [[\"lying\", 4], [\"or\", [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"lying\", 6]], [\"not\", [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-...
{"split": "train", "index": 17222}
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: Aiden, Jack, Evelyn, Matthew, Aria, Liam, Olivia, Sebastian, and Victoria. In a statement by Aiden: \"Sebastian is a laggard\". Jack commented,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1667, \"statements\": [[\"lying\", 7], [\"and\", [\"->\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 7], [\"lying\", 8]]]], [\"not\", [\"not\", [\"or\", [\"tellin...
{"split": "train", "index": 17223}
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: Amelia, Liam, Ella, Henry, Penelope, Jacob, Mason, Evelyn, and Scarlett. According to Amelia, \"it is not the case that (Evelyn is a hero or (Scarlet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1668, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 8], [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"lying\", 8], ...
{"split": "train", "index": 17224}
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: Henry, Luke, Evelyn, Samuel, Emily, Grace, Sophia, Ella, and Aiden. According to Henry, \"((Ella is an egoist) if and only if (if Evelyn is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1669, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 5], [\...
{"split": "train", "index": 17225}
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: Alexander, Ella, James, Logan, Jack, Emily, Sofia, Owen, and Ava. Alexander said, \"it is not the case that ((Alexander is an angel if and only if Ella...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1670, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 2]]]], [\"->\", [\"->\", [\"->\", [\"t...
{"split": "train", "index": 17226}
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: Evelyn, David, Michael, Aiden, Sofia, Charlotte, Penelope, Isabella, and Mia. Evelyn was heard saying, \"Charlotte is a knave\". David told you that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1671, \"statements\": [[\"lying\", 5], [\"not\", [\"lying\", 5]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"or\", [\"an...
{"split": "train", "index": 17227}
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: Aria, Emma, Mia, Zoey, Noah, Oliver, Sebastian, Abigail, and Riley. Aria commented, \"((Aria is an angel if and only if Zoey is an angel) or (Aria is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1672, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=...
{"split": "train", "index": 17228}
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: Joseph, Riley, Jacob, Owen, Ethan, Jack, Emma, Sophia, and Elizabeth. Joseph remarked, \"Owen is a hero or (if Owen is a villain then (Jacob is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1673, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 8]]], [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\...
{"split": "train", "index": 17229}
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, Chloe, Benjamin, Lily, Riley, Samuel, Charlotte, Ava, and Ethan. Henry noted, \"(it is not the case that (Riley is a saint)) or ((Ava is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1674, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 7]]], [\"lying\", 8], [\"not\", [\"<=>\", [\"lying\...
{"split": "train", "index": 17230}
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: Jackson, Owen, Avery, Matthew, Joseph, Penelope, James, Daniel, and Mia. According to Jackson, \"Matthew is a hero\". Owen said, \"it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1675, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"not\", [\"telling-truth\", 5]]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 4], [\"lying\"...
{"split": "train", "index": 17231}
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: Aurora, Aiden, Charlotte, Ava, Jack, Amelia, Benjamin, Victoria, and Jackson. Aurora told you that (it is not the case that (if Victoria is a devil the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1676, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 0], [\"lying\...
{"split": "train", "index": 17232}
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, Luke, Sofia, Harper, William, Victoria, Michael, Penelope, and Emma. \"if (if Emma is a pioneer then (Luke is a laggard and Harper is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1677, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 8], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]]]...
{"split": "train", "index": 17233}
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, Scarlett, Victoria, Henry, Amelia, Logan, Aurora, Elizabeth, and Mason. In a statement by Lucas: \"((if Amelia is a knight then Aurora is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1678, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"or...
{"split": "train", "index": 17234}
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: Victoria, Charlotte, Sebastian, Liam, Lily, Emma, Daniel, Samuel, and Penelope. \"if ((Liam is a laggard) and (if Penelope is a pioneer then Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1679, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"telling-truth\", 2]]]], [\"not\",...
{"split": "train", "index": 17235}
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, Ethan, William, Henry, Evelyn, Elizabeth, Riley, Matthew, and Jackson. Mia was heard saying, \"Ethan is a fool or (Elizabeth is a sage or Matthew is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1680, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], ...
{"split": "train", "index": 17236}
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, Jackson, Zoey, William, Lucas, Scarlett, Penelope, Avery, and Ava. David remarked, \"it is not the case that (if (Zoey is a devil) then (Avery i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1681, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 7]]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"or\", [\"lying...
{"split": "train", "index": 17237}
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, Charlotte, Olivia, Grace, Henry, Jackson, James, Lily, and Benjamin. \"if (James is an egoist or Jackson is an egoist) then ((if Henr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1682, \"statements\": [[\"->\", [\"or\", [\"lying\", 6], [\"lying\", 5]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"->\", [\"telling-...
{"split": "train", "index": 17238}
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: Luke, Elizabeth, Ethan, Joseph, Aria, Daniel, Aiden, Matthew, and Jackson. Luke noted, \"(if (Matthew is a sage or Matthew is a fool) then (Elizabeth is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1683, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]], [\"not\", [\"lying\", 1]]], [\"or\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5]]]], [\"or\", [\"<...
{"split": "train", "index": 17239}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Matthew, Avery, Michael, Charlotte, Benjamin, Sebastian, Olivia, and Noah. James remarked, \"if ((Olivia is an altruist) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1684, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 4]]]], ...
{"split": "train", "index": 17240}
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, Avery, Daniel, Scarlett, Riley, Sophia, Jacob, Henry, and Zoey. \"if ((Riley is a fool or Avery is a sage) or Scarlett is a fool or (if Daniel is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1685, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"not\", [\"tell...
{"split": "train", "index": 17241}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sebastian, Oliver, Jacob, William, Samuel, Avery, Elizabeth, Sophia, and Charlotte. As Sebastian put it, \"Elizabeth is a knight and (if Oliver is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1686, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"t...
{"split": "train", "index": 17242}
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, Zoey, Abigail, Alexander, Aiden, Charlotte, Matthew, and Emma. Riley asserted: \"(Abigail is a knight if and only if (Charlotte is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1687, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"lying\", 6]]], [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]], [\"<=>\", [\...
{"split": "train", "index": 17243}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Benjamin, Mason, Aurora, Alexander, Aiden, Olivia, Victoria, and Scarlett. As Matthew put it, \"if Olivia is a devil then Aiden is a devil\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"->\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 3]], [\"or\",...
{"split": "train", "index": 17244}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Alexander, Sophia, Henry, Mason, Sebastian, Emma, Amelia, Ella, and Abigail. Alexander said, \"((Sophia is a pioneer and Amelia is a laggard an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6], [\"lying\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth\", 5]], [\"telling-truth\", 0]], [\"and\", [\"->\", [\"lying\", 5], [\"lyi...
{"split": "train", "index": 17245}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Oliver, Riley, Michael, Daniel, Luke, Harper, Jackson, Matthew, and Avery. Oliver commented, \"((Riley is a sinner if and only if Harper is a sinner)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]], [\"not\", [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 8]], [\"and\", [\"->\", [\"<=>\", [\"telling-trut...
{"split": "train", "index": 17246}
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: Grace, Mason, Penelope, Michael, Jacob, Lily, William, Ella, and Zoey. \"if (it is not the case that (Ella is a sinner)) then (if (Grace is a saint o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"lying\", 0], [\"->\", [\"a...
{"split": "train", "index": 17247}
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, Daniel, Elizabeth, Alexander, Samuel, Grace, Mia, Ava, and Ethan. Emma noted, \"((Ava is a devil and Daniel is an angel and Grace is a devil) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 1], [\"lying\", 5]], [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"<=>\", [...
{"split": "train", "index": 17248}
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, Ava, Olivia, Michael, Noah, Mia, Chloe, Alexander, and Emma. \"(it is not the case that (Chloe is a fool or Noah is a sage)) if and only if (it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 6]], ...
{"split": "train", "index": 17249}
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: Amelia, Mason, Luke, Oliver, Benjamin, Emily, Jackson, Ava, and Samuel. Amelia stated, \"it is not the case that ((Mason is an altruist or Emil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"lying\", 4]]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"and\", [\"lying\",...
{"split": "train", "index": 17250}
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: Emma, Logan, Victoria, Aiden, Luke, Michael, Jack, Ella, and Owen. Emma said, \"((if Michael is a fool then Owen is a sage) and (Jack is a fool if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0...
{"split": "train", "index": 17251}
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: Benjamin, Charlotte, Owen, Emma, Aiden, Aria, Luke, David, and Michael. Benjamin stated, \"it is not the case that (it is not the case that (Owen is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\"lying\", ...
{"split": "train", "index": 17252}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Luke, Charlotte, Harper, Grace, Benjamin, James, Victoria, and Sebastian. \"if (it is not the case that (James is a sinner or Grace is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]]]], [\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\...
{"split": "train", "index": 17253}
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, Benjamin, Ethan, Jack, Emily, Isabella, Chloe, Ella, and Sophia. As Charlotte put it, \"(if (Jack is an angel) then Ethan is a devil) or ((E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 2]], [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 7]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"not\", [\"lying\", 8]], [\"no...
{"split": "train", "index": 17254}
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, Alexander, Logan, Aurora, Oliver, Jacob, James, Henry, and Mia. Joseph stated, \"it is not the case that (Alexander is a saint and (Henry is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"te...
{"split": "train", "index": 17255}
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, Grace, Joseph, Ella, Riley, Jackson, Ethan, Sophia, and Abigail. Olivia asserted: \"((Jackson is a hero or Grace is a hero or Abigail is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"->\", [\"lying\", 8], [\"lying\", 7]], [\"and\", [\"telling-truth\", 0], [\"lying\", 5], [\"lying\"...
{"split": "train", "index": 17256}
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: Evelyn, David, Emma, Jackson, Aria, Victoria, Penelope, Oliver, and James. \"Victoria is an angel,\" Evelyn declared. David told you that (if (if Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"lying\", 3]], [\"telling-truth\", 8], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6]], [\"lying\"...
{"split": "train", "index": 17257}
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, William, Oliver, Scarlett, Abigail, Emily, Avery, Noah, and Amelia. \"if ((if Scarlett is a knave then Oliver is a knight) and (if William is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"telling-truth\", 8]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"or\"...
{"split": "train", "index": 17258}
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: Henry, Charlotte, Amelia, Oliver, Jacob, Grace, Alexander, Benjamin, and Ava. \"((Benjamin is a pioneer if and only if Jacob is a laggard) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"or\", [\"t...
{"split": "train", "index": 17259}
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: Jacob, Olivia, Lily, Avery, Michael, Penelope, Jack, Mia, and Noah. \"(if (Lily is a sinner or Penelope is a saint) then (Avery is a saint and Lily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 3]], [\"<=>\", [\"lying\", 8], [\"te...
{"split": "train", "index": 17260}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ava, Ethan, Scarlett, Amelia, Sofia, Lily, Samuel, Owen, and Aiden. Ava told you that ((Ethan is a knight and Ethan is a knave and Scarlett is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], ...
{"split": "train", "index": 17261}
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: Zoey, Riley, David, Luke, Benjamin, Charlotte, Sofia, Emma, and Victoria. \"Sofia is a pioneer,\" Zoey declared. Riley was heard saying, \"Benj...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"not\", [\"lying\", 6]], [\"lying\", 4], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"telling-truth\", 5]]], [\"not\", [\"lying\", 7]], [\"->\", [\"->\", [\"<=>\", [\"telli...
{"split": "train", "index": 17262}
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: Daniel, Noah, Emily, Jack, Isabella, Olivia, Liam, Ava, and Owen. \"Jack is a villain,\" Daniel claimed. Noah stated, \"(it is not the case that (Ava...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"lying\", 3], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"or\",...
{"split": "train", "index": 17263}
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: Owen, Jacob, Zoey, Victoria, Sofia, Aiden, Michael, Abigail, and Ethan. In a statement by Owen: \"it is not the case that ((Abigail is a hero or Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 6], [\"lying\", 4], [\"lying\", 2]]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-tr...
{"split": "train", "index": 17264}
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: Zoey, Sofia, Owen, Noah, Lucas, Amelia, Chloe, Abigail, and James. \"Noah is a pioneer,\" Zoey claimed. Sofia told you that ((Sofia is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"not\", [\"lying\", 3]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"lying\", 5]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lyin...
{"split": "train", "index": 17265}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Ava, Victoria, Aiden, Lily, Matthew, Ella, William, and Isabella. Daniel stated, \"Ava is a sinner\". Ava expressed that ((if Lily is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 17266}
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, Logan, Alexander, Mia, Olivia, Evelyn, Victoria, Aurora, and Ella. Luke remarked, \"it is not the case that (it is not the case that (Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth\",...
{"split": "train", "index": 17267}
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: David, Avery, Emily, Elizabeth, Logan, Daniel, Sebastian, Aurora, and Ava. In a statement by David: \"Elizabeth is a knave\". Avery said, \"if Ava is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"lying\", 3], [\"->\", [\"lying\", 8], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 0], [\"telling-truth\", 1]...
{"split": "train", "index": 17268}
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, Matthew, James, Charlotte, Lily, Mason, Michael, Amelia, and Lucas. Chloe was heard saying, \"((Amelia is a villain and James is a hero and Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2], [\"lying\", 6]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-tr...
{"split": "train", "index": 17269}
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, Liam, Jacob, Emma, Oliver, Sophia, Ethan, Scarlett, and Matthew. As Aria put it, \"it is not the case that ((Jacob is a saint and Jacob is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"o...
{"split": "train", "index": 17270}
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: Aiden, Oliver, Alexander, Sebastian, Jacob, Daniel, Jack, Ella, and James. Aiden said, \"((if Daniel is a fool then Aiden is a sage) if and only if (if Ell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"ly...
{"split": "train", "index": 17271}
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: Ethan, Lily, Benjamin, Oliver, Scarlett, Alexander, Mia, Ella, and Penelope. As Ethan put it, \"Scarlett is a knight or (it is not the case that (Sca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]], [\"...
{"split": "train", "index": 17272}
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: Mia, Charlotte, Benjamin, Emily, Penelope, Grace, Abigail, Samuel, and Ella. Mia was heard saying, \"(Benjamin is a laggard and (if Charlotte i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"->\", [\"lying\", 1], [\"lying\", 7]], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\"...
{"split": "train", "index": 17273}
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, Aiden, Sebastian, Avery, Luke, Harper, Riley, Alexander, and Chloe. \"if ((Avery is a sage if and only if Riley is a fool) if and only if (Riley is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 2]]], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-tr...
{"split": "train", "index": 17274}
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: Aurora, Liam, Henry, Avery, Jacob, Chloe, Samuel, Matthew, and David. Aurora remarked, \"Samuel is an altruist\". Liam commented, \"if ((David ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]]], [\"or\", [\...
{"split": "train", "index": 17275}
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, Olivia, Henry, Joseph, Penelope, Evelyn, Charlotte, Logan, and Victoria. Owen said, \"if ((Joseph is a sage or Henry is a sage) if and only if (Penel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"lying\", 8]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth...
{"split": "train", "index": 17276}
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, Sophia, Jacob, Daniel, Harper, Alexander, Sebastian, Emily, and Chloe. \"((Sebastian is an altruist or Jacob is an altruist or Daniel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 5], [\"lying\", 6]]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], ...
{"split": "train", "index": 17277}
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, Ava, Jack, Joseph, Ella, Oliver, David, Abigail, and Liam. In Riley's words: \"David is a saint or Jack is a saint or ((Jack is a saint if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]]], [\"->\", [\"and\"...
{"split": "train", "index": 17278}
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: Emily, Samuel, Luke, Zoey, Jackson, Ava, Lucas, Ella, and Charlotte. As Emily put it, \"Jackson is a saint\". Samuel was heard saying, \"it is not th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8]], [\"not\", [\"lying\", 6]], [\"->\", [\"lying\", 6], [\"telling-truth\", 4]]]], [\"telling-truth\", 0], [\"or...
{"split": "train", "index": 17279}
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: Sophia, Chloe, Mason, Charlotte, Jack, Samuel, James, Lucas, and Abigail. Sophia told you that Samuel is a knight. \"Mason is a knave,\" Chloe declar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"telling-truth\", 5], [\"lying\", 2], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"lying\", 1]], [\"not\",...
{"split": "train", "index": 17280}
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, Logan, Mason, Elizabeth, Luke, Joseph, Emma, Victoria, and Jacob. Abigail said that it is not the case that (it is not the case that (Victor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]]]], [\"lying\", 5], [\"and\", [\"telling-truth\", 7], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 4]], [\"...
{"split": "train", "index": 17281}
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: Olivia, William, Amelia, Scarlett, Jack, Lily, Ella, Charlotte, and Henry. Olivia said that Amelia is a knight or Ella is a knight. In William's word...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"or\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 5]]], [\"telling-truth\", 5], [\"->\", [\"not\", [\"telling-trut...
{"split": "train", "index": 17282}
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: Elizabeth, Alexander, Amelia, Joseph, Noah, William, Jackson, Lucas, and Penelope. As Elizabeth put it, \"William is an altruist\". Alexander c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]]], [\"or\", [\...
{"split": "train", "index": 17283}
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: Liam, Sofia, Emma, Olivia, Daniel, Joseph, Emily, Matthew, and James. Liam noted, \"((if Joseph is an egoist then Sofia is an altruist) or (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"telling-truth\"...
{"split": "train", "index": 17284}
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: Jack, Ella, Victoria, Jackson, David, Avery, Mason, Luke, and Sofia. Jack remarked, \"it is not the case that ((Sofia is a knave and Jack is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]], [\"->\", [\"lying\", 6], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\...
{"split": "train", "index": 17285}
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: Ella, Scarlett, Mason, Charlotte, Alexander, Aria, Henry, Emma, and Sebastian. Ella asserted: \"it is not the case that (Aria is a devil or (if Charlot...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"not\", [\"or\", [\"lying\", 5], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]]], [\"->\", [\"telling-truth\", 7], [\"<=>\", [\"not\", [\"lying\", 6]], [\"not\", [\"lying\", 5]]]], [\"or\", [\"not\"...
{"split": "train", "index": 17286}
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, Victoria, Elizabeth, Sophia, Joseph, Logan, Sebastian, Avery, and Liam. In a statement by Charlotte: \"Joseph is an altruist\". Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]], [\"not\", [\"...
{"split": "train", "index": 17287}
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: Oliver, Liam, Chloe, Noah, Mia, Daniel, Michael, Mason, and Henry. Oliver told you that ((Michael is an angel) and Michael is a devil) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 6]], [\"lying\", 6]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"or\", [\"telling-truth\", 5], [\"lying\", 6]]]], [\"->\", [\"not\", [\"and\"...
{"split": "train", "index": 17288}
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: Sofia, Jack, William, Ella, Ethan, Avery, Grace, Liam, and Isabella. Sofia asserted: \"(if (Jack is a devil or Liam is an angel or Jack is an angel) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\"...
{"split": "train", "index": 17289}
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, Sofia, Mia, Oliver, Avery, Grace, William, Evelyn, and Jack. In a statement by Charlotte: \"if (it is not the case that (Grace is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 5]]], [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 6], [\"lying\", 8]], [\"lying\", 4], [\"lying\", 6]]], [\"or\", [\"->\", [\"<=>\", [\"lying\", 5], [\"telling...
{"split": "train", "index": 17290}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lily, Sebastian, Grace, Abigail, Matthew, Lucas, Penelope, Oliver, and Jack. Lily expressed that (Lily is a knight and (Grace is a knight and Sebasti...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 6]], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"not\", [\"telling-truth\", 8]]], [\"tell...
{"split": "train", "index": 17291}
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, Evelyn, Jack, Daniel, Michael, Aurora, Ethan, Amelia, and Benjamin. \"if (Jack is an altruist and (Michael is an egoist or Amelia is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [\"or\", [\"telling-truth\", 4], [\"or\", [\"lying\", 7], [\"telling-truth\", 6], ...
{"split": "train", "index": 17292}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Harper, Aria, Riley, Amelia, Joseph, Grace, Samuel, and Ava. James noted, \"Samuel is an egoist\". Harper was heard saying, \"if (Riley ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"lying\", 8]]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"and\", ...
{"split": "train", "index": 17293}
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: David, Aria, Lucas, Henry, Penelope, Mia, Evelyn, Elizabeth, and Zoey. David said that if (if Evelyn is a laggard then Henry is a laggard) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"->\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]]], [\"lying\", 4], [\"not\", [\"or...
{"split": "train", "index": 17294}
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: Abigail, Aria, Logan, Emily, Zoey, Jackson, Sophia, Lucas, and Daniel. \"it is not the case that (if (Zoey is a knight if and only if Logan is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 8], [\"telling-truth\", 3]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"lying...
{"split": "train", "index": 17295}
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: Aiden, Zoey, Jacob, Benjamin, Mia, Lucas, Alexander, Michael, and Owen. \"((Michael is a saint or Benjamin is a saint) if and only if (Lucas is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 17296}
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: Ava, Olivia, Jackson, Mia, James, Samuel, Evelyn, Jack, and Scarlett. As Ava put it, \"((Mia is a sage) and (Scarlett is a sage or Scarlett is a fool or Ev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 8], [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-t...
{"split": "train", "index": 17297}
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, Abigail, Henry, Elizabeth, Zoey, Liam, Samuel, Amelia, and David. \"if ((if Zoey is an egoist then Charlotte is an altruist) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8], [\"lying\", 2]]]], [\"<=>\", [\"tellin...
{"split": "train", "index": 17298}
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, David, Olivia, Riley, Mia, Samuel, Jackson, Abigail, and Amelia. As William put it, \"(if (Olivia is a knave or Mia is a knight or Olivia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 8]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"and\", [\"lying\", 5], ...
{"split": "train", "index": 17299}