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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Lucas, Daniel, Ella, Aria, Sebastian, Jackson, Amelia, and Oliver. Aiden was heard saying, \"(Lucas is an angel if and only if Daniel is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], ...
{"split": "train", "index": 9300}
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, Benjamin, Alexander, Mason, Chloe, Oliver, Samuel, Jack, and Matthew. David noted, \"Alexander is a knight\". Benjamin expressed that Alexande...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 2], [\"lying\", 7]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\"...
{"split": "train", "index": 9301}
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, Chloe, Abigail, Samuel, Penelope, Owen, Amelia, Ella, and Emily. Ethan asserted: \"Samuel is a pioneer\". Chloe expressed that it is not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 8], [\"lying\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 0]], [\"telling-truth\", 4]], [\"telling-truth\", 4]...
{"split": "train", "index": 9302}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, Grace, Elizabeth, Lucas, Charlotte, Logan, Ava, Amelia, and Emma. \"if (Amelia is a knave) then (if Emma is a knave then Elizabeth is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], ...
{"split": "train", "index": 9303}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, Penelope, Benjamin, Daniel, Sofia, Aurora, Aria, Evelyn, and Ella. Isabella stated, \"Daniel is a devil and (Sofia is an angel if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"telling-tr...
{"split": "train", "index": 9304}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Penelope, William, Emily, Benjamin, Mia, Michael, Abigail, Scarlett, and Charlotte. \"(if Emily is a sage then Michael is a fool) or (Charlotte is a sage o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"lying\", 7], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 8]], [\"telling-trut...
{"split": "train", "index": 9305}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Michael, David, Emma, Abigail, Noah, Mia, Elizabeth, Victoria, and Joseph. Michael said that if (Mia is a fool) then (Joseph is a fool). David was heard sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"telling-truth\", 1]], [\"and\", [\"->\", [\"lying\", 3...
{"split": "train", "index": 9306}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Isabella, Elizabeth, Henry, Aria, Chloe, Mia, Riley, Zoey, and Daniel. In Isabella's words: \"(Riley is a laggard if and only if Chloe is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 7]], [\"lying\", 1]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"lying\", 0]], [...
{"split": "train", "index": 9307}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Chloe, Emily, Noah, William, Mia, Olivia, Michael, Oliver, and Sophia. Chloe was heard saying, \"(Chloe is a knight and William is a knight and Willi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-tr...
{"split": "train", "index": 9308}
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: Michael, James, Victoria, Matthew, Olivia, Logan, Oliver, Sebastian, and David. Michael said that (Victoria is a devil and Matthew is a devil) or (Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]...
{"split": "train", "index": 9309}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ella, Aiden, Jack, Sofia, Grace, Lily, Aurora, Victoria, and Michael. Ella commented, \"it is not the case that (Michael is a fool if and only if Sofia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"lying\", 1], [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 5]]], [\"and\", [\"->\", [\"telling-truth...
{"split": "train", "index": 9310}
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, Abigail, Victoria, Avery, Aria, Aurora, Charlotte, Olivia, and Owen. \"Charlotte is a saint,\" Jacob mentioned. \"it is not the case that (Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"lying\", 1]], [\"->\", [\"lying\", 5], [\"tellin...
{"split": "train", "index": 9311}
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, Emma, Ethan, Jack, Lily, Elizabeth, Jacob, Sebastian, and Mia. According to Amelia, \"Sebastian is an altruist\". In Emma's words: \"(J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"not\", [\"lying\", 7]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 7], [\"telling-truth\", 2], [\"lying\", 6]]], [\"telling-truth\", 7], [\"and\", [\"not\", [\"lyi...
{"split": "train", "index": 9312}
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, Lily, Charlotte, Aurora, William, Owen, David, Penelope, and James. Abigail asserted: \"(William is a saint if and only if David is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 4...
{"split": "train", "index": 9313}
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: Sophia, Charlotte, Daniel, Penelope, Abigail, Ava, Aria, Jack, and Emma. In Sophia's words: \"it is not the case that (if Ava is a fool then Charlotte is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"ly...
{"split": "train", "index": 9314}
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, Samuel, Charlotte, Avery, Jackson, Aria, Michael, Jack, and Joseph. \"it is not the case that (if Jackson is a hero then Jack is a villain),...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"lying\",...
{"split": "train", "index": 9315}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mia, Emily, Oliver, Aurora, Ella, Daniel, Jack, Harper, and Ethan. Mia said, \"(Ella is a devil or Emily is a devil) if and only if (if Daniel is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"telling-truth\...
{"split": "train", "index": 9316}
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: David, Noah, Aiden, Jack, Avery, Amelia, Aurora, Ella, and Luke. According to David, \"Luke is a fool and Aurora is a fool\". \"it is not the case that (Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"and\", [\"lying\", 8], [\"lying\", 6]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"not\...
{"split": "train", "index": 9317}
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, Owen, Zoey, Harper, Aria, Oliver, Henry, Lily, and Noah. Mason said, \"(Lily is a knight or Aria is a knave) and (Oliver is a knight and Noah ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"and\",...
{"split": "train", "index": 9318}
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: David, Aurora, Owen, Ava, Olivia, Isabella, Grace, Charlotte, and Emma. David commented, \"it is not the case that (Grace is a sinner and Emma is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or...
{"split": "train", "index": 9319}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Riley, William, Liam, Joseph, Lily, Luke, Jack, Samuel, and David. Riley expressed that Liam is a fool. William said, \"(Joseph is a fool or Lily is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"lying\", 2], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 7]], [\"->\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"or\", [...
{"split": "train", "index": 9320}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Evelyn, Joseph, Liam, Samuel, Elizabeth, Henry, Benjamin, and Emily. In Ella's words: \"if (if Benjamin is a laggard then Joseph is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 5]], [\"lying\", 2], [\"telling-truth\", 6], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 6]], [\"and\", [\"telling-truth\"...
{"split": "train", "index": 9321}
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, Olivia, Mia, Evelyn, Mason, Sophia, Elizabeth, Ethan, and Charlotte. Luke was heard saying, \"(if Sophia is a sage then Olivia is a fool) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 1]], [\"not\", [\"telling-truth\", 5]]], [\"telling-truth\", 5], [\"<=>\", [\"lying\", 5], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and...
{"split": "train", "index": 9322}
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: Jack, Lucas, Joseph, Emily, Mia, Evelyn, Aria, Daniel, and Victoria. Jack asserted: \"it is not the case that (Daniel is a saint or Aria is a saint)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"and\", [\"te...
{"split": "train", "index": 9323}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Alexander, Harper, Grace, Joseph, Benjamin, Ella, Scarlett, Sebastian, and Sofia. As Alexander put it, \"(Ella is a sinner and Benjamin is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]...
{"split": "train", "index": 9324}
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, Logan, Lily, Daniel, Ella, Aurora, Joseph, Aria, and Mason. Charlotte noted, \"if (Lily is a sinner or Mason is a sinner) then (Mason is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"not\", [\"lying\", 2]],...
{"split": "train", "index": 9325}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Michael, Jack, Logan, Owen, Scarlett, Aria, Elizabeth, Ava, and Noah. In a statement by Michael: \"(Jack is a hero) if and only if (Aria is a hero an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 7], [\"telling-truth\", 4]],...
{"split": "train", "index": 9326}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Noah, William, Grace, Sophia, Alexander, Mason, Ava, Joseph, and Liam. Noah remarked, \"Mason is an angel\". William told you that Ava is a devil if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"lying\", 6], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\...
{"split": "train", "index": 9327}
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: Jackson, Henry, Penelope, Aiden, Ella, Victoria, Liam, Olivia, and Emily. Jackson told you that it is not the case that (Emily is a sage). In a statement b...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"not\", [\"not\", [\"lying\", 8]]], [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 0]]], [\"not\", [\"telling-truth\", 5]], [\"and\", [\"or\", [\"telling-truth\", 1],...
{"split": "train", "index": 9328}
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: Michael, Sofia, Emily, Riley, Chloe, Olivia, Abigail, Zoey, and Mia. \"(Olivia is an angel or Emily is a devil) or (Abigail is an angel if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"<=>\", [\"and...
{"split": "train", "index": 9329}
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, Scarlett, Aria, Sophia, Alexander, Amelia, Jacob, Aurora, and Victoria. Oliver said, \"Victoria is an angel.\" In Scarlett's words: \"Oliver is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"not\", [\"lying\", 8]], [\"lying\", 0], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\...
{"split": "train", "index": 9330}
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, Logan, Sebastian, Evelyn, Luke, Avery, Isabella, Ella, and Daniel. In Scarlett's words: \"(Daniel is a fool or Daniel is a sage) or (Ella is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [...
{"split": "train", "index": 9331}
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: Joseph, Benjamin, Avery, Sebastian, Amelia, Oliver, Grace, Harper, and Riley. Joseph stated, \"it is not the case that (Oliver is an egoist)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 5]]], [\"lying\", 6], [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 5]]], [\"not\", [\"and\", [\"lying\", 7], [\...
{"split": "train", "index": 9332}
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: Sebastian, Grace, David, Ethan, Joseph, Emily, Ava, Aria, and Riley. Sebastian asserted: \"if (Emily is a sage or Riley is a fool or Joseph is a sage) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 5]], [\"->\", [\"telling-truth\", 2],...
{"split": "train", "index": 9333}
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: Mason, Scarlett, Aurora, Luke, Oliver, Ella, Mia, Chloe, and Aiden. Mason noted, \"it is not the case that (Luke is a pioneer or Oliver is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 0], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"...
{"split": "train", "index": 9334}
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: Lucas, Zoey, Sophia, Joseph, Lily, David, Aurora, Scarlett, and Elizabeth. Lucas said, \"if (Aurora is an altruist) then (Elizabeth is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"->\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 4]]], [\"lying\", 4], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2],...
{"split": "train", "index": 9335}
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, William, Mia, Joseph, Samuel, Matthew, Scarlett, Evelyn, and Amelia. Oliver expressed that William is a devil. William stated, \"(Mia is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"lying\", 7]]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<...
{"split": "train", "index": 9336}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Mia, Henry, Chloe, Sophia, Noah, Logan, Emma, and Joseph. As Harper put it, \"Chloe is a saint or (Sophia is a sinner)\". Mia asserted: \"(if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"lying\", 8], [\"lying\", 0], [\"lying\", 2]]], [\"or\", [\"or\", [\"te...
{"split": "train", "index": 9337}
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, Zoey, William, Aiden, Matthew, Samuel, Charlotte, Olivia, and David. Sophia commented, \"if (David is a knave if and only if David is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"lying\", 4]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"...
{"split": "train", "index": 9338}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Benjamin, David, Liam, Olivia, James, Isabella, Scarlett, and Ella. According to Oliver, \"Isabella is a pioneer and Ella is a laggard\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"telling-truth\", 4], [\"not\", [\"telli...
{"split": "train", "index": 9339}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Daniel, Abigail, Aiden, Michael, Noah, Owen, Lily, Lucas, and Isabella. Daniel asserted: \"Aiden is a knight\". In Abigail's words: \"it is not the c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"and\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"and...
{"split": "train", "index": 9340}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Luke, Victoria, Charlotte, Noah, Jackson, Riley, James, Lucas, and William. \"(if James is a knight then William is a knight) if and only if (if Luke...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 6],...
{"split": "train", "index": 9341}
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: Elizabeth, William, Michael, Sophia, Jacob, Olivia, Aiden, Henry, and Isabella. Elizabeth remarked, \"(Sophia is a fool if and only if Aiden is a fool) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]...
{"split": "train", "index": 9342}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mia, Alexander, Jacob, Aria, Joseph, Zoey, Emma, Lucas, and Charlotte. Mia told you that it is not the case that (if Jacob is a devil then Zoey is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 1], [\"or\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"tel...
{"split": "train", "index": 9343}
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, Samuel, James, Grace, Liam, Logan, Aurora, Owen, and Evelyn. Mason asserted: \"(Owen is a knave) or Liam is a knave\". \"it is not the case th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 7]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"->\",...
{"split": "train", "index": 9344}
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: Sebastian, Jack, Sofia, Avery, Samuel, Victoria, Lucas, Emma, and Michael. Sebastian commented, \"if (Sofia is a fool or Samuel is a sage) then (Victoria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"lying\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [...
{"split": "train", "index": 9345}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ella, Chloe, Owen, Lucas, Victoria, Emily, Joseph, Ethan, and Jackson. Ella told you that (Ella is a knight or Jackson is a knave) and (if Victoria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"tell...
{"split": "train", "index": 9346}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Jacob, Emily, Jackson, Scarlett, Logan, Isabella, Aurora, and Mia. \"Aurora is a devil and (if Scarlett is an angel then Aurora is an angel)\" - ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"and\", [\"lying\", 7], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"->\", ...
{"split": "train", "index": 9347}
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, Ava, Owen, Ella, Avery, Matthew, Chloe, Olivia, and Riley. \"it is not the case that (Owen is a sinner or Chloe is a sinner or Matthew is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 6], [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"tellin...
{"split": "train", "index": 9348}
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: Samuel, Isabella, Ava, Chloe, Elizabeth, Aiden, Jack, Olivia, and Harper. Samuel asserted: \"Samuel is a pioneer or (if Ava is a laggard then A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\",...
{"split": "train", "index": 9349}
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: David, Sebastian, Michael, Daniel, Aurora, Samuel, James, Mason, and Jack. David noted, \"it is not the case that (Jack is a saint and Michael is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"<=>\", [\"lying\", 8], [\"lying\", 2]]], [\"telling-truth\", 2], [\"not...
{"split": "train", "index": 9350}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Michael, Logan, Lily, Isabella, Ethan, Joseph, Evelyn, James, and Ella. \"it is not the case that (Evelyn is a sage),\" Michael mentioned. \"if (Isabella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"not\", [\"not\", [\"lying\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"or\", [\"lying\", 4], [\"->\", [\"l...
{"split": "train", "index": 9351}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, Riley, Lucas, Ethan, Elizabeth, Alexander, Victoria, Abigail, and Lily. As Noah put it, \"it is not the case that (Alexander is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"tel...
{"split": "train", "index": 9352}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Abigail, Charlotte, Jack, Elizabeth, Penelope, Victoria, Mason, and Matthew. Noah remarked, \"Mason is a sinner\". Abigail said that it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"lying\", 7], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 5]]], [\"<=>\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->...
{"split": "train", "index": 9353}
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: Samuel, Oliver, Evelyn, Elizabeth, Matthew, Ethan, Lily, Michael, and Isabella. In Samuel's words: \"Isabella is an egoist\". Oliver asserted: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"lying\", 8], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\",...
{"split": "train", "index": 9354}
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, Emily, Aiden, Elizabeth, Charlotte, Amelia, Benjamin, Lily, and William. Ethan remarked, \"(Ethan is a sage and Emily is a fool and Lily is a fool) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 7]], [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 0]], [\"or\", [\"lying\", 7], [\"telling-tru...
{"split": "train", "index": 9355}
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, Aurora, Ava, Aria, Riley, Ella, Charlotte, Aiden, and Matthew. \"(Charlotte is a saint or Riley is a saint) if and only if (Aurora is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"...
{"split": "train", "index": 9356}
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, Mia, Chloe, Scarlett, Logan, Avery, Lily, Samuel, and Grace. In Oliver's words: \"Logan is a devil or (Chloe is a devil if and only if Grace is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"lying\", 2], [\"lying\", 8]], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\...
{"split": "train", "index": 9357}
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, Oliver, Daniel, Michael, Harper, Lucas, Matthew, Samuel, and Lily. Zoey expressed that (Michael is an egoist if and only if Daniel is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-...
{"split": "train", "index": 9358}
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, Samuel, Emma, Penelope, Luke, Mason, Matthew, Harper, and Liam. Jacob was heard saying, \"Harper is a hero or (if Harper is a villain then Mat...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"->\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"telling-truth\", 8], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling...
{"split": "train", "index": 9359}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sophia, Avery, Elizabeth, Scarlett, Samuel, William, Emily, Aurora, and Sebastian. As Sophia put it, \"Emily is a pioneer\". Avery said that if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]], [\"or\", [\"lying\", 0], [\"lying\", 8]]], [\"or\", [\"telling-truth\", 0], [\"lying\", 5]], [\"->\", [\"and\", [\"telli...
{"split": "train", "index": 9360}
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, Sofia, Alexander, Lily, Noah, Amelia, Chloe, Sophia, and Lucas. William told you that (if Alexander is a laggard then Alexander is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"lying\", 6], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"tel...
{"split": "train", "index": 9361}
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, Amelia, Michael, Emily, Ella, Lucas, Isabella, Harper, and James. Emma expressed that if (Lucas is a knight or Michael is a knave or Emily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 6], [\"lying\", 4], [...
{"split": "train", "index": 9362}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Grace, Henry, Alexander, Penelope, Noah, David, Riley, and Emily. \"Alexander is a pioneer,\" Ella claimed. Grace said that (Penelope is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8], [\"lyin...
{"split": "train", "index": 9363}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Isabella, Alexander, Ava, Lily, Aria, Liam, Noah, Aurora, and Scarlett. Isabella said that Liam is an altruist. Alexander noted, \"(Ava is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"ly...
{"split": "train", "index": 9364}
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: Penelope, Samuel, Amelia, William, Noah, Sofia, Daniel, Ava, and Lucas. \"it is not the case that (Samuel is a sinner or Noah is a sinner)\" - Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]]...
{"split": "train", "index": 9365}
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, Owen, Elizabeth, Olivia, Aiden, Oliver, Jacob, Emily, and Jackson. Sofia asserted: \"it is not the case that (Jackson is a devil and Owen is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\...
{"split": "train", "index": 9366}
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: Lucas, Abigail, Chloe, Grace, Ella, Zoey, Emily, Samuel, and Lily. Lucas stated, \"Samuel is a devil\". \"(Lucas is a devil and Chloe is a devil) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"lying\", 7], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 7], [\"not\", [\"<=>\", [\"lying\", 6], [\"telli...
{"split": "train", "index": 9367}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mia, William, David, Zoey, Jacob, Jack, Sebastian, Avery, and Grace. In a statement by Mia: \"William is a knight\". \"(David is a knight if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"lying\", 3]], ...
{"split": "train", "index": 9368}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Grace, Charlotte, Zoey, Jack, James, Riley, Logan, Scarlett, and Lucas. Grace told you that Riley is an altruist. Charlotte asserted: \"if (Sca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"not\", [\"lying\", 5]], [\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"lying\"...
{"split": "train", "index": 9369}
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: Zoey, Jackson, Amelia, Aurora, James, Henry, Evelyn, David, and Sophia. As Zoey put it, \"(if Henry is a sinner then David is a sinner) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"not\", [\"lying\", 6]]], [\"l...
{"split": "train", "index": 9370}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Matthew, Olivia, Sebastian, Harper, Jacob, Henry, Chloe, and Ella. \"Harper is a saint and (if Chloe is a sinner then Harper is a sinner) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]], ...
{"split": "train", "index": 9371}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Oliver, Logan, Sebastian, Samuel, Michael, Amelia, Joseph, and Evelyn. According to Ella, \"Samuel is a laggard or (Oliver is a laggard)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"lying\", 1...
{"split": "train", "index": 9372}
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: Penelope, Riley, Sofia, Ava, Jack, Aurora, Emma, Sebastian, and Victoria. Penelope said, \"it is not the case that (Riley is a laggard and Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\...
{"split": "train", "index": 9373}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Avery, Evelyn, Luke, Matthew, Logan, Emma, Riley, Zoey, and Lily. In Avery's words: \"(Zoey is a knight or Matthew is a knight or Riley is a knave) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 6]], [\"lying\", 6]], [\"not\", [\"not\", [\"telling...
{"split": "train", "index": 9374}
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, James, Ava, Chloe, William, Mia, Penelope, Aurora, and Emma. \"(if Penelope is a pioneer then William is a pioneer) and (if Ava is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"lying\", 2], [\"telli...
{"split": "train", "index": 9375}
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: Aiden, Aurora, Evelyn, Jack, Olivia, Liam, Ella, Aria, and Avery. According to Aiden, \"(Aurora is a villain if and only if Aurora is a hero) or (Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 7...
{"split": "train", "index": 9376}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Chloe, Jack, Zoey, Noah, Ethan, Ava, Lily, Logan, and Scarlett. According to Chloe, \"(Ava is a knight or Lily is a knight or Scarlett is a knave) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"lying\", 8]], [\"lying\", 2]], [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]], [\"lying\", 6]], [\"telling-truth\", 6], [\"t...
{"split": "train", "index": 9377}
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: Benjamin, Grace, Lucas, Noah, Penelope, Mason, Evelyn, Daniel, and Riley. \"it is not the case that (Benjamin is a sage and Lucas is a sage),\" Benjamin de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 1]], ...
{"split": "train", "index": 9378}
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: Ava, Elizabeth, James, Joseph, Aria, Zoey, Aiden, Jack, and Oliver. \"(Aiden is an egoist if and only if Oliver is an egoist) or (if Joseph is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 0], [\"telling-trut...
{"split": "train", "index": 9379}
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: Grace, Lily, Emily, Samuel, Michael, Mason, Charlotte, Elizabeth, and Penelope. Grace said that if (Elizabeth is a sage and Charlotte is a fool) then Micha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"and\", [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], ...
{"split": "train", "index": 9380}
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: Penelope, Scarlett, Lily, Owen, Ethan, Chloe, Benjamin, Evelyn, and Abigail. \"it is not the case that (Ethan is a devil or Scarlett is a devil),\" Pen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"lying\", 8]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 1]], [\"...
{"split": "train", "index": 9381}
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, Aiden, Sophia, Amelia, Joseph, Logan, Isabella, Emily, and Grace. Henry was heard saying, \"(Amelia is a fool) and (Logan is a fool or Emily is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 6],...
{"split": "train", "index": 9382}
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: Aria, Ethan, Sophia, James, Mia, Aiden, Aurora, Lily, and Zoey. Aria said, \"Sophia is a hero.\" \"(if Ethan is a hero then Aiden is a villain) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 7]], [\"<=>\", [\"not\", [\"telling-truth\", 8]...
{"split": "train", "index": 9383}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, Michael, James, Abigail, Penelope, Amelia, David, Sebastian, and Matthew. \"Matthew is a pioneer,\" Avery mentioned. Michael stated, \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 5]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]],...
{"split": "train", "index": 9384}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ethan, Sebastian, Alexander, Harper, Logan, Mason, Benjamin, William, and Luke. Ethan asserted: \"if (Logan is an egoist and Harper is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"lyi...
{"split": "train", "index": 9385}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mason, Jacob, Logan, Ella, William, Mia, Benjamin, Owen, and Abigail. Mason said, \"Mia is a saint.\" According to Jacob, \"(Owen is a saint or Jacob...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 7], [\"lying\", 0]]], [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 1], [\"->\", [\...
{"split": "train", "index": 9386}
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, Owen, Mia, Daniel, Isabella, Oliver, Sophia, Henry, and Alexander. Olivia was heard saying, \"if (Isabella is a pioneer and Daniel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 8]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\", 3], [\"lying\...
{"split": "train", "index": 9387}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jack, Samuel, Mason, Mia, Aria, Ava, Matthew, Noah, and Ella. Jack asserted: \"Matthew is a devil and (Ava is a devil if and only if Jack is an angel) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"and\", [\"lying\", 6], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]], [\"or\", [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2], [\...
{"split": "train", "index": 9388}
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: Lucas, Jackson, Owen, Ella, Michael, Olivia, Avery, Harper, and Chloe. Lucas said that it is not the case that (Harper is an angel or Chloe is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"lying\", 7]], [\"not\", [\"lying\", 5]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 8...
{"split": "train", "index": 9389}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Chloe, Ava, Sophia, David, Mason, Matthew, Zoey, Henry, and Samuel. In Chloe's words: \"Zoey is a pioneer or (Mason is a pioneer and Ava is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 5], [\...
{"split": "train", "index": 9390}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Aiden, Liam, Olivia, James, Alexander, Jackson, Jacob, and Chloe. Logan noted, \"(Chloe is a hero and Chloe is a villain) or (Chloe is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"lying\", 5],...
{"split": "train", "index": 9391}
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, Lily, Ava, Amelia, Jack, Abigail, Luke, Daniel, and Noah. According to Scarlett, \"(Noah is a hero and Ava is a villain) if and only if Luk...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 2]], [\"lying\", 6]], [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-tr...
{"split": "train", "index": 9392}
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, Samuel, Aiden, Harper, Sebastian, James, Victoria, Evelyn, and Chloe. Avery expressed that (Sebastian is a pioneer and Harper is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 6], [\"lying\", 7], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 0]], [\"lying\", 7]], [\"or\", [\"and\", [\"t...
{"split": "train", "index": 9393}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Henry, Emma, Jackson, David, Daniel, Mason, Benjamin, and Joseph. Victoria asserted: \"(if Joseph is a sage then Joseph is a fool) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 0], [\"lying\", 4]], [\"not\",...
{"split": "train", "index": 9394}
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: Jack, Emily, Matthew, Sophia, Aiden, Alexander, Sofia, Isabella, and Aurora. Jack said that Isabella is a villain. Emily asserted: \"(Sophia is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-tr...
{"split": "train", "index": 9395}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jack, Jacob, David, Sofia, Daniel, Lucas, Sebastian, Harper, and Alexander. According to Jack, \"(if Alexander is an angel then Jack is an angel) or (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"telling-truth\", 5], [\"->\", [\"...
{"split": "train", "index": 9396}
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, Benjamin, Samuel, Lucas, Emma, James, Ella, Lily, and Charlotte. According to William, \"Emma is a pioneer and (James is a laggard) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"<=>\", [\"-...
{"split": "train", "index": 9397}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Riley, Michael, Avery, Noah, Emily, Samuel, Henry, and Ava. Jack said that (if Samuel is an egoist then Noah is an altruist) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]...
{"split": "train", "index": 9398}
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: Joseph, Penelope, Mason, Elizabeth, Jack, Mia, Chloe, Emma, and Aiden. According to Joseph, \"(if Mason is a knight then Joseph is a knight) or (Pene...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 7], [\"<=>\", [\"or\", [...
{"split": "train", "index": 9399}