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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, Abigail, Jackson, Liam, Amelia, Zoey, William, Riley, and Benjamin. Daniel was heard saying, \"Jackson is a saint\". Abigail told you that if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"or\", [\"lyin...
{"split": "train", "index": 8200}
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: Sophia, Liam, James, Isabella, Jackson, Luke, Aria, Oliver, and Henry. Sophia stated, \"(Luke is a saint) and (if Liam is a saint then Luke is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\...
{"split": "train", "index": 8201}
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: Jack, Ella, Henry, Jackson, William, Logan, Oliver, Riley, and Michael. In a statement by Jack: \"(William is a pioneer and Logan is a laggard)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 4], [\"lying\", 5]]], [\...
{"split": "train", "index": 8202}
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, Penelope, Lily, Ava, Evelyn, Samuel, Scarlett, Noah, and Jack. As Zoey put it, \"(Evelyn is an altruist if and only if Jack is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"lying\", 3]], [\"tel...
{"split": "train", "index": 8203}
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, Luke, Ella, Avery, Oliver, Emily, Aiden, James, and Chloe. Elizabeth noted, \"it is not the case that (Luke is a devil if and only if Oliver...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"or\", [\"or\", [\"lying\", 0], [\"t...
{"split": "train", "index": 8204}
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: Sofia, Elizabeth, Grace, Harper, Penelope, Samuel, Noah, Scarlett, and Aria. In a statement by Sofia: \"Noah is an altruist\". In a statement b...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]], [\"lying\", 5]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 8205}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Elizabeth, Liam, Sofia, Benjamin, Aurora, Henry, Sebastian, Charlotte, and Ava. \"Charlotte is a knight,\" Elizabeth mentioned. \"Sebastian is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"telling-truth\", 7], [\"lying\", 6], [\"and\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 6], [\"->\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"lying\", 3], [\"lying\", 5]]...
{"split": "train", "index": 8206}
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, Aurora, Matthew, Henry, Ethan, Aiden, Luke, Joseph, and William. Amelia expressed that (if Amelia is an altruist then Ethan is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]], [\"and\", [...
{"split": "train", "index": 8207}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: William, Riley, Noah, Michael, Zoey, Amelia, Jackson, Liam, and Logan. William told you that Michael is an egoist. Riley told you that (Liam is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"and\", [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]...
{"split": "train", "index": 8208}
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, Grace, David, Ava, Liam, Evelyn, Emily, Amelia, and Zoey. \"Ava is a sinner if and only if (Evelyn is a saint if and only if Emily is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"<=>\", [\"...
{"split": "train", "index": 8209}
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: Luke, Michael, Avery, Isabella, Emma, Sebastian, Abigail, James, and Olivia. According to Luke, \"Abigail is a villain\". Michael said, \"James is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"lying\", 6], [\"lying\", 7], [\"and\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 5]]], [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], ...
{"split": "train", "index": 8210}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Mia, Zoey, Evelyn, James, Lily, Logan, Samuel, and Oliver. According to Emma, \"James is a saint\". Mia was heard saying, \"(Evelyn is a saint ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"lying\", 8], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-tru...
{"split": "train", "index": 8211}
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, Alexander, Riley, Samuel, Abigail, Noah, Avery, Grace, and Elizabeth. Sophia said, \"if (Riley is an altruist or Sophia is an altruist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 8]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"->\",...
{"split": "train", "index": 8212}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Aria, Daniel, Mia, Scarlett, Oliver, Zoey, Matthew, and Grace. \"(Matthew is a villain or Aria is a hero) or (Grace is a hero and Oliver is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"lying\", 3], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"tel...
{"split": "train", "index": 8213}
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, Luke, Harper, Aria, Sofia, William, Liam, Noah, and Olivia. Mia told you that (Harper is a fool if and only if Liam is a fool) if and only if (William...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"lying\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"or\", [\"telling-tr...
{"split": "train", "index": 8214}
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: Isabella, Emily, Mason, Abigail, Jack, David, Grace, Sofia, and Noah. Isabella told you that (Sofia is a saint and Emily is a sinner) or (David is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 1]], [\"and\", [\"lying\", 5], [\"lying\", 7]]], [\"lying\", 7], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 0]], [\"or\", [\"lying\", 7], [\"ly...
{"split": "train", "index": 8215}
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, Michael, Oliver, William, Emma, Amelia, Avery, Harper, and Mason. \"Amelia is an egoist or (William is an egoist and Amelia is an egoist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"or\", [\"lying\", 5], [\"and\", [\"lying\", 3], [\"lying\", 5]]], [\"->\", [\"lying\", 5], [\"and\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 1]], [\"o...
{"split": "train", "index": 8216}
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, Mason, William, Evelyn, Ella, Lucas, Samuel, Logan, and Sophia. Scarlett commented, \"Samuel is a fool\". Mason stated, \"Sophia is a sage\". As ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 6]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]...
{"split": "train", "index": 8217}
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: Avery, Sophia, Mia, Grace, Owen, Zoey, Abigail, Joseph, and Lily. Avery noted, \"it is not the case that (Joseph is an egoist and Owen is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"not\", [\"not\", [\"lying\", 4]]], [\"lying\", 0], [...
{"split": "train", "index": 8218}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, Aria, Penelope, Alexander, Lucas, Grace, Ava, Sophia, and Emily. Olivia noted, \"(Aria is an egoist if and only if Penelope is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]], [...
{"split": "train", "index": 8219}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aurora, Sophia, Aria, Jackson, Luke, Zoey, Olivia, Ella, and Emily. Aurora noted, \"Sophia is a sinner\". Sophia was heard saying, \"(Aurora is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 0]], [\"and\", [\"lying\", 1], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"lying\", 1]...
{"split": "train", "index": 8220}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, Charlotte, Emma, Ethan, William, Daniel, Abigail, Logan, and Avery. \"Avery is a villain if and only if (Abigail is a villain or Ethan is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"<=>\", [\"lying\", 8], [\"or\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"or\", [\"not\", [\"lying\", 6]], [\"lying\", 4]], [\"not\", [\"a...
{"split": "train", "index": 8221}
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, Emma, Ella, Alexander, Sophia, Daniel, Sebastian, Jack, and Harper. \"(Jack is a sage and Daniel is a sage) or (Daniel is a fool or Emma is a fool)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"or\", [\"lying\", 5], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]]],...
{"split": "train", "index": 8222}
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, Daniel, Aiden, Avery, Samuel, Isabella, Benjamin, Sophia, and Harper. \"(Sophia is a laggard or Aiden is a pioneer) and (Benjamin is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"ly...
{"split": "train", "index": 8223}
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: Aiden, Benjamin, Owen, Chloe, Mia, Mason, Michael, Olivia, and Scarlett. Aiden expressed that it is not the case that (Chloe is a knave). \"(Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\...
{"split": "train", "index": 8224}
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, Jackson, Owen, Aiden, Oliver, Michael, Zoey, Jack, and Riley. Harper was heard saying, \"(Riley is a villain) or Jackson is a villain\". \"(A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 1]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", ...
{"split": "train", "index": 8225}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Lucas, Joseph, Matthew, James, Ethan, Jack, Isabella, and Lily. As Owen put it, \"if (if James is an egoist then Joseph is an egoist) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"not\", [\"lying\", 8]]], [\"->\", [\"not\", [\"tellin...
{"split": "train", "index": 8226}
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: Isabella, Logan, Olivia, Henry, Mason, Owen, Luke, Mia, and Chloe. Isabella remarked, \"Olivia is a sinner\". Logan stated, \"(Mason is a saint) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"lying\", 2], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"telling-truth\", 3], [\"or\", [\"and\", [\...
{"split": "train", "index": 8227}
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, Ava, Henry, Emma, Sophia, Scarlett, Noah, Jack, and Riley. Ella asserted: \"(Riley is an altruist and Jack is an altruist) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0]...
{"split": "train", "index": 8228}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Daniel, Jack, Sofia, Alexander, Owen, Benjamin, Olivia, Samuel, and Sebastian. As Daniel put it, \"(Sofia is a pioneer if and only if Olivia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", ...
{"split": "train", "index": 8229}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Sebastian, Ella, Ethan, Daniel, Mason, Benjamin, Evelyn, and Elizabeth. Jackson stated, \"(if Daniel is a sinner then Daniel is a saint) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1]...
{"split": "train", "index": 8230}
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: Penelope, Victoria, Zoey, Jackson, Joseph, Charlotte, Olivia, Evelyn, and Amelia. In a statement by Penelope: \"(if Penelope is a knight then Olivia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"not\", [\"lying\", 6]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 6]...
{"split": "train", "index": 8231}
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, Isabella, Jackson, Jacob, Owen, Zoey, Aurora, Benjamin, and Alexander. David said, \"(Jackson is a knave if and only if Owen is a knave) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-t...
{"split": "train", "index": 8232}
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, Aurora, Zoey, Liam, Jackson, Ethan, Alexander, Oliver, and Owen. Michael expressed that it is not the case that (if Owen is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"lying\", 5]]], [\"->\", [\"lying\", 7], [\"<=>\", [\"lying\", 7], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"not\", [\"lying\", 0]]], [\...
{"split": "train", "index": 8233}
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, Amelia, Isabella, Zoey, Emily, Penelope, Jackson, Harper, and Benjamin. \"Emily is a saint,\" Aiden declared. \"Benjamin is a sinner and (Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"lying\", 8], [\"not\", [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]], [\"lying\", 8]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 0]...
{"split": "train", "index": 8234}
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, Logan, Sebastian, Mia, Noah, Grace, Olivia, Scarlett, and Penelope. \"Penelope is a hero if and only if (Grace is a villain),\" Ethan claimed....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"lying\", 6]]], [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\",...
{"split": "train", "index": 8235}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Sebastian, Ava, Aurora, Chloe, Ella, Victoria, Samuel, and Scarlett. Owen asserted: \"(Scarlett is an egoist and Scarlett is an altruist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"lying\", 5]]], [\"and\", [\"telling-truth\", 6], [\"or\", [\"lying\", 5], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 3]], ...
{"split": "train", "index": 8236}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ava, Sebastian, Abigail, Aria, Benjamin, Sophia, Aiden, David, and Mason. Ava commented, \"David is a laggard\". \"(Sophia is a pioneer) and (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"lying\", 7], [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"lying\", 4]...
{"split": "train", "index": 8237}
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: Owen, Michael, Ethan, Elizabeth, Benjamin, Jack, Victoria, Matthew, and Aurora. Owen said, \"Owen is a pioneer or (Jack is a laggard if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 8], [\"lyin...
{"split": "train", "index": 8238}
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, Zoey, Penelope, Lucas, Riley, Aria, Ethan, Abigail, and Amelia. Henry noted, \"(if Ethan is a fool then Abigail is a sage) or (if Abigail is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], ...
{"split": "train", "index": 8239}
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, Ethan, Ella, Alexander, Logan, Noah, Michael, Benjamin, and Abigail. Mason was heard saying, \"(Noah is a fool) if and only if Benjamin is a sage\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 7]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"or\", [\"->\", [\"l...
{"split": "train", "index": 8240}
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: Lily, Aiden, Oliver, Avery, Isabella, Samuel, Emily, Riley, and Grace. As Lily put it, \"(Avery is a devil or Oliver is an angel) and (Riley is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"lying\", 8], [\"or\", [\"and\", [\"...
{"split": "train", "index": 8241}
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: Sophia, Oliver, Ethan, Ella, Avery, Sofia, Logan, Mason, and Scarlett. \"(Avery is a saint or Mason is a saint) and Ella is a sinner,\" Sophia claime...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"lying\", 3]], [\"telling-truth\", 4], [\"and\", [\"lying\", 0], [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"or\", [\"lyin...
{"split": "train", "index": 8242}
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, Mia, William, Ella, Charlotte, Sofia, Abigail, Daniel, and Alexander. Benjamin was heard saying, \"Sofia is a saint\". Mia asserted: \"it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"not\", [\"lying\", 5]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"telling-truth\", 7], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"telling-truth\", 6]], [\"<=>\", [\"te...
{"split": "train", "index": 8243}
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, Ella, Lucas, Sebastian, James, Noah, Emily, Avery, and Lily. Charlotte expressed that Lily is a villain. In a statement by Ella: \"(if Luc...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"lying\", 8], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 0]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 3]]], [\"<=...
{"split": "train", "index": 8244}
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, Mason, Charlotte, William, Zoey, Noah, Michael, David, and Daniel. Lucas expressed that it is not the case that (Mason is a fool and William is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [...
{"split": "train", "index": 8245}
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, Emily, Elizabeth, Aria, Abigail, James, Isabella, Sophia, and Ethan. Owen noted, \"Elizabeth is a hero and (Sophia is a villain if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"telling-truth\", 7], [\"lying\...
{"split": "train", "index": 8246}
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, Joseph, Ava, Lucas, Lily, Matthew, Mia, Riley, and David. Zoey was heard saying, \"it is not the case that (Riley is a hero)\". \"it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"not\", [\"not\", [\"lying\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 4]]], ...
{"split": "train", "index": 8247}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Chloe, Emily, Aiden, Jacob, Matthew, Aria, Sophia, and Charlotte. Owen commented, \"it is not the case that (Chloe is an altruist or Char...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 0]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 8248}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Zoey, Lily, Jack, Sofia, Evelyn, Chloe, Samuel, Mason, and Aiden. \"(Zoey is a sage if and only if Samuel is a fool) or (Mason is a sage or Evelyn is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0...
{"split": "train", "index": 8249}
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, Samuel, Isabella, Ava, Avery, Henry, Evelyn, Michael, and Olivia. \"if (if Avery is a villain then Michael is a hero) then (Ava is a hero)\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 7]], [\"telling-truth\", 1]], [\"lying\", 7], [\"not\", [\"->\", [\"ly...
{"split": "train", "index": 8250}
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, Jacob, Alexander, Sebastian, Jack, Amelia, Sofia, Sophia, and Chloe. Grace told you that (Sofia is a saint if and only if Sebastian is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\...
{"split": "train", "index": 8251}
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, Olivia, Liam, Ethan, Amelia, Sofia, Logan, David, and Samuel. Aria expressed that (Olivia is an egoist if and only if Samuel is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [\"lying\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"<=>...
{"split": "train", "index": 8252}
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, Scarlett, Penelope, Zoey, Sebastian, Jack, Ethan, Chloe, and Emma. Charlotte told you that (Zoey is a hero or Ethan is a villain) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6]], [\"lying\", 3]], [\"lying\", 0], [\"lying\", 3], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling...
{"split": "train", "index": 8253}
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, Jacob, Samuel, Luke, Olivia, Michael, Matthew, Jackson, and David. Sofia expressed that if (Jacob is a devil) then (Michael is an angel and Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"...
{"split": "train", "index": 8254}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Grace, Benjamin, William, Zoey, Abigail, Sebastian, Sophia, Harper, and Logan. \"it is not the case that (Logan is a laggard)\" - Grace. Accord...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 5]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"->\", [\"t...
{"split": "train", "index": 8255}
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, Grace, Lily, Jackson, Aria, Mia, Olivia, and Lucas. \"(Mia is a villain if and only if Aria is a villain) or (Lucas is a villain if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1588, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"lying\", 0], [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"...
{"split": "train", "index": 8256}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Charlotte, Michael, Sofia, Alexander, Avery, Henry, Liam, Matthew, and Riley. \"(Michael is a fool and Michael is a sage) or (Liam is a sage or Avery is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1589, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\...
{"split": "train", "index": 8257}
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: Liam, Amelia, Ethan, Sofia, James, Henry, Harper, Victoria, and Michael. In Liam's words: \"if Victoria is a devil then (Harper is a devil and James is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1590, \"statements\": [[\"->\", [\"lying\", 7], [\"and\", [\"lying\", 6], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"no...
{"split": "train", "index": 8258}
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, Charlotte, Alexander, Sebastian, Noah, Oliver, Ava, David, and Riley. Amelia stated, \"Oliver is an egoist and (Oliver is an egoist)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1591, \"statements\": [[\"and\", [\"lying\", 5], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 0]]],...
{"split": "train", "index": 8259}
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, Lily, Scarlett, Amelia, Noah, Benjamin, Samuel, Ethan, and Penelope. As William put it, \"Penelope is a laggard\". Lily asserted: \"(S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1592, \"statements\": [[\"lying\", 8], [\"<=>\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 0], [\"or\", [\"lying\", 4], [\"lying\...
{"split": "train", "index": 8260}
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: Noah, Penelope, Amelia, Sofia, Olivia, Michael, Grace, William, and Victoria. As Noah put it, \"it is not the case that (Penelope is a knight)\". Acc...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1593, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"or\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"te...
{"split": "train", "index": 8261}
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: Matthew, Liam, Penelope, Zoey, Lily, Harper, William, Aurora, and Ava. \"Zoey is a laggard,\" Matthew declared. Liam stated, \"Penelope is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1594, \"statements\": [[\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 7], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"lying\", 3], [\"and\", [\"not\",...
{"split": "train", "index": 8262}
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, Scarlett, Isabella, Aiden, Mia, Owen, Jack, Ava, and Lily. As Liam put it, \"Lily is a pioneer\". Scarlett told you that (Liam is a lagga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1595, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"lying\", 0]], [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]...
{"split": "train", "index": 8263}
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: Lily, Logan, Alexander, David, Henry, Chloe, Zoey, Daniel, and Charlotte. As Lily put it, \"(Daniel is an angel) or (David is an angel if and only if H...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1596, \"statements\": [[\"or\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], ...
{"split": "train", "index": 8264}
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, Michael, Logan, Liam, Daniel, Aria, Jackson, and Aurora. \"it is not the case that (Aria is a knave and Logan is a knave),\" Ava claim...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1597, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\...
{"split": "train", "index": 8265}
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: Isabella, Evelyn, Ethan, Noah, Sophia, Jackson, Daniel, Aria, and David. Isabella told you that (Daniel is a knight or Aria is a knight) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1598, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"lying\", 8], [\"telling-truth\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 5], [...
{"split": "train", "index": 8266}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: William, Liam, Oliver, Isabella, Henry, Benjamin, Aria, Scarlett, and Harper. William told you that (Liam is an egoist or Oliver is an egoist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1599, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"tellin...
{"split": "train", "index": 8267}
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: Sofia, Daniel, Jacob, Lily, Oliver, Penelope, Benjamin, Mia, and Noah. \"it is not the case that (Lily is a fool or Sofia is a sage)\" - Sofia. \"it is not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1600, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 0]]], [...
{"split": "train", "index": 8268}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, Riley, Penelope, Sebastian, Michael, Owen, Henry, Ella, and Aria. Luke remarked, \"Riley is a laggard and Henry is a pioneer\". According...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1601, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 6]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 5]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 6], [\"lying\", 6]], [\"not\"...
{"split": "train", "index": 8269}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Olivia, Aiden, Ella, Henry, David, Ava, Grace, Noah, and Luke. Olivia commented, \"(if Grace is a laggard then David is a laggard) and (Luke is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1602, \"statements\": [[\"and\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"telling-...
{"split": "train", "index": 8270}
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, Jackson, Charlotte, Noah, James, Aria, Isabella, Penelope, and Ava. \"(Aria is a laggard and Jackson is a pioneer) if and only if (Isabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1603, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 1], [\"telling-tru...
{"split": "train", "index": 8271}
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: Sophia, David, Benjamin, Daniel, Charlotte, Jackson, Harper, Ethan, and William. In a statement by Sophia: \"Jackson is an angel\". David asserted: \"J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1604, \"statements\": [[\"telling-truth\", 5], [\"lying\", 5], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-t...
{"split": "train", "index": 8272}
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, Evelyn, Luke, Charlotte, Ethan, Avery, Sophia, Benjamin, and Jack. Alexander said, \"Jack is a knave.\" Evelyn expressed that (Ethan is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1605, \"statements\": [[\"lying\", 8], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"lying\", 5], [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 7...
{"split": "train", "index": 8273}
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, Elizabeth, Riley, Mason, Olivia, Amelia, David, Isabella, and Sophia. Ava was heard saying, \"(Elizabeth is a fool or Elizabeth is a sage) and (Riley ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1606, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"<=...
{"split": "train", "index": 8274}
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, Jackson, David, Grace, James, Ava, Isabella, Ella, and Amelia. According to Daniel, \"James is a hero\". Jackson told you that Ella is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1607, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 7], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"lying\", 6]], [\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 6]], [\"telling-truth\", 5], [...
{"split": "train", "index": 8275}
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, Emily, Noah, Henry, Sophia, Olivia, Aria, Lily, and Mia. \"(Sophia is an altruist) and (Lily is an altruist),\" Amelia declared. Emily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1608, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"lying\", 0], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6]], [\"telling-truth\", 0]],...
{"split": "train", "index": 8276}
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, Owen, Joseph, Grace, Lucas, Olivia, Lily, Riley, and Noah. \"(Riley is a sage and Grace is a fool) if and only if Riley is a fool,\" Aurora declare...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1609, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]], [\"lying\", 7]], [\"lying\", 7], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 5], [\"telling-truth\...
{"split": "train", "index": 8277}
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: Luke, Sofia, Jackson, Oliver, Victoria, Aurora, Charlotte, William, and Chloe. \"(Sofia is a villain if and only if Luke is a hero) and (Victoria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1610, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\...
{"split": "train", "index": 8278}
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, Jack, Amelia, Scarlett, Emma, Mason, David, Owen, and Ethan. \"(if Owen is an altruist then Emma is an egoist) and Mason is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1611, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"<=>\"...
{"split": "train", "index": 8279}
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, Scarlett, Benjamin, Lucas, Penelope, Luke, Chloe, Ethan, and David. Riley told you that it is not the case that (Ethan is a sinner). \"(Chloe ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1612, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"lying\", 7]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\...
{"split": "train", "index": 8280}
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: Matthew, Sofia, Liam, Aiden, Emily, Sophia, Ava, Jackson, and Oliver. Matthew was heard saying, \"(if Aiden is a sinner then Emily is a saint) or (Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1613, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"telling-truth\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]], ...
{"split": "train", "index": 8281}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ethan, Riley, Evelyn, Joseph, Lucas, Jackson, Samuel, Charlotte, and Sebastian. Ethan asserted: \"if (Evelyn is a sinner) then (Lucas is a saint or E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1614, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"lying\", 8], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 0]], [\"<=>\", [\"or\", [\"...
{"split": "train", "index": 8282}
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, Lily, Mason, Chloe, Aiden, Henry, Scarlett, James, and Joseph. \"James is a laggard,\" Zoey claimed. In a statement by Lily: \"it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1615, \"statements\": [[\"lying\", 7], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\"-...
{"split": "train", "index": 8283}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emma, Harper, Sofia, Charlotte, Abigail, Benjamin, Noah, Evelyn, and Ava. Emma noted, \"if (Benjamin is a knave or Harper is a knight) then (if Evely...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1616, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"lying\", 5]]], [\"or\", [\"and\", [\...
{"split": "train", "index": 8284}
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, Owen, Sofia, Oliver, Mason, Sebastian, Emily, Isabella, and Matthew. According to David, \"Mason is a knave if and only if (Owen is a knave or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1617, \"statements\": [[\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 5], [\"lying\", 0]]], [\"<=>\", [\"a...
{"split": "train", "index": 8285}
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: Oliver, Emma, Aria, Grace, Henry, Jack, Lily, Luke, and Ella. \"(if Aria is a fool then Jack is a fool) or (Jack is a sage if and only if Luke is a sage),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1618, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [...
{"split": "train", "index": 8286}
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, Zoey, David, Luke, Ella, Aria, Aiden, Lucas, and Elizabeth. \"it is not the case that (if Aiden is an altruist then David is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1619, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"telling-truth\", 3]], [\"telling-truth\", 5], [\"lying\", 8], [\"lying\", 5], [...
{"split": "train", "index": 8287}
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, Samuel, Matthew, Jack, Ethan, Harper, Alexander, Abigail, and Aiden. In Sophia's words: \"(Alexander is a knave and Jack is a knave) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1620, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 3]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\"...
{"split": "train", "index": 8288}
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: Olivia, Charlotte, Penelope, Matthew, Sebastian, David, Evelyn, Jack, and Jacob. Olivia said that (if Matthew is a saint then Jack is a saint) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1621, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]]], [\"<=>\", [\"and\", [...
{"split": "train", "index": 8289}
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, Luke, Oliver, Sebastian, James, William, Evelyn, Avery, and David. In Alexander's words: \"David is a fool\". Luke stated, \"(Alexander is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1622, \"statements\": [[\"lying\", 8], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]]...
{"split": "train", "index": 8290}
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, Liam, Lucas, Jacob, Victoria, Isabella, Olivia, Aurora, and Michael. Harper noted, \"if (Jacob is a laggard or Aurora is a pioneer) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1623, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7]], [\"telling-truth\", 5]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-trut...
{"split": "train", "index": 8291}
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: Joseph, Aurora, Lucas, Sebastian, Grace, Sophia, Charlotte, Emma, and Oliver. Joseph commented, \"if (Emma is a sage if and only if Sebastian is a sage) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1624, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"lying\", 6], [\"lying\", 0]]], [\"or\", [\"->\", [\"ly...
{"split": "train", "index": 8292}
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: Ethan, James, William, David, Noah, Emily, Sophia, Lucas, and Michael. Ethan said that it is not the case that (Sophia is a sage or William is a fool). \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1625, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]], [\"not\", ...
{"split": "train", "index": 8293}
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, Lucas, Victoria, Abigail, Benjamin, Amelia, Chloe, Henry, and Penelope. In Lily's words: \"(Benjamin is a villain) and (Amelia is a villain if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1626, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"lying\", 6], [...
{"split": "train", "index": 8294}
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, Liam, Joseph, Michael, Jackson, Scarlett, Noah, Amelia, and Luke. Ethan said, \"(Luke is a pioneer if and only if Jackson is a pioneer) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1627, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 8]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"lying\", 6], [\"lying\", 3]]], [\"an...
{"split": "train", "index": 8295}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Charlotte, Elizabeth, Noah, Emily, Riley, Aria, Olivia, Ethan, and Zoey. \"(Zoey is a sinner) or (Riley is a saint if and only if Riley is a sinner)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1628, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"not\", [...
{"split": "train", "index": 8296}
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: Aiden, Ethan, Emma, William, Charlotte, Evelyn, Ella, Mia, and James. Aiden asserted: \"(William is a knave) or (Ella is a knight if and only if Etha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1629, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 5]], [\"lying\", 5]], [\"lying\", 1], [\"not\", [\"or\", [\"telling-truth\",...
{"split": "train", "index": 8297}
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: Benjamin, Oliver, Penelope, Aurora, Matthew, Riley, Scarlett, Harper, and Ava. Benjamin said, \"it is not the case that (Matthew is a villain or Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1630, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"lying\", 6]], [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 5], [\"telling-trut...
{"split": "train", "index": 8298}
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: Sebastian, Mia, Evelyn, Liam, Benjamin, Luke, James, Avery, and Charlotte. Sebastian expressed that if (James is a devil and Luke is an angel) then (Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1631, \"statements\": [[\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 7], [\"lying\", 3]...
{"split": "train", "index": 8299}