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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, Sofia, Olivia, Michael, Jack, Ava, Liam, Matthew, and Sebastian. Sophia noted, \"(if (Jack is a laggard if and only if Liam is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"tell...
{"split": "train", "index": 17000}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: David, Oliver, Abigail, Jack, Charlotte, Jackson, Amelia, Emma, and Aurora. David told you that (it is not the case that (Jackson is a villain)) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]]]], [\"telling-truth\", 7], [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"->\", [\...
{"split": "train", "index": 17001}
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, Joseph, Isabella, Ava, Jacob, Elizabeth, Chloe, Olivia, and Sebastian. Matthew remarked, \"((Ava is an altruist) if and only if (Eliza...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-t...
{"split": "train", "index": 17002}
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, Grace, Sofia, James, Jacob, Emily, Ethan, Aurora, and Logan. Liam expressed that James is an angel. Grace asserted: \"if (if (Logan is an angel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"lying\", 7]], [\"...
{"split": "train", "index": 17003}
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, Benjamin, Jacob, Mia, James, Emily, Ella, Victoria, and Matthew. Alexander asserted: \"if (if (James is a saint) then (Victoria is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"or\", [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 5]]]], [\...
{"split": "train", "index": 17004}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Luke, Michael, Olivia, Aiden, Scarlett, Logan, Jacob, Ava, and Alexander. Luke commented, \"if (it is not the case that (Scarlett is a sinner and Aid...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]]]], [\"telling-truth\", 7], [\"not\", [\"and\", [\"and\", [\"lying\", 4], [\"telli...
{"split": "train", "index": 17005}
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, Elizabeth, Chloe, Liam, Daniel, Jack, Ava, and Owen. According to Charlotte, \"Daniel is a villain\". Scarlett commented, \"it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"lying\", 5], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]]], [\"->\", [\"or\", [\"<=>\", [...
{"split": "train", "index": 17006}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Oliver, Amelia, Sophia, Matthew, Emma, Samuel, Elizabeth, William, and Sofia. Oliver remarked, \"(Sofia is an egoist) and ((Matthew is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"lying\"...
{"split": "train", "index": 17007}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sophia, Liam, Sofia, Matthew, Harper, Grace, Lucas, William, and Benjamin. \"Sofia is a villain if and only if ((Grace is a villain if and only if So...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"<=>\", [\"lying\", 2], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"telling-truth\", 5]]]], [\"and\", [\"<=>\", [\"or\", [\"telling-...
{"split": "train", "index": 17008}
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, Penelope, Henry, Scarlett, Ava, Noah, Grace, Liam, and Riley. Owen noted, \"if ((Grace is an angel if and only if Ava is an angel) or (if Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"and\"...
{"split": "train", "index": 17009}
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, Harper, Daniel, Victoria, Lucas, Aiden, Avery, William, and Michael. \"(it is not the case that (William is a devil and Michael is a devil)) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"telling-truth\", 5]]]], [\"->\", [\"not\", ...
{"split": "train", "index": 17010}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Evelyn, Jackson, Amelia, Chloe, Charlotte, Mason, Sophia, Jacob, and Aria. According to Evelyn, \"((if Chloe is a knave then Aria is a knave) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 8]], [\"<=>\", [\"lying\", 4...
{"split": "train", "index": 17011}
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, Aria, Ethan, Sofia, Luke, Jackson, Matthew, Oliver, and Charlotte. \"((Matthew is a devil) if and only if (Charlotte is a devil)) or (if (if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 7]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"...
{"split": "train", "index": 17012}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Henry, Owen, Aurora, Avery, Noah, Sebastian, Logan, Sophia, and Michael. Henry stated, \"Sophia is an egoist\". In Owen's words: \"(if (Sophia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"lying\", 7], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\", 6]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"lying...
{"split": "train", "index": 17013}
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: Elizabeth, Isabella, Samuel, Lucas, Mia, Owen, Amelia, Aurora, and Aiden. \"Samuel is a laggard\" - Elizabeth. \"it is not the case that (Isabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"tel...
{"split": "train", "index": 17014}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Sebastian, James, Riley, Daniel, Avery, Chloe, Elizabeth, and William. Logan told you that (Chloe is a fool if and only if William is a fool) and ((...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"l...
{"split": "train", "index": 17015}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Lucas, Aiden, David, Jacob, James, William, Oliver, and Avery. Mason stated, \"if ((Avery is a hero or Oliver is a hero) or Aiden is a hero or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\...
{"split": "train", "index": 17016}
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, Olivia, Harper, Amelia, Aria, Alexander, Aurora, Oliver, and Sebastian. Penelope told you that Alexander is a knave. Olivia stated, \"Auror...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"lying\", 5], [\"<=>\", [\"lying\", 6], [\"->\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"telling-truth\", 2]]]], [\"or\", [\"telling-truth\", 0], [\"->\", [...
{"split": "train", "index": 17017}
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, Henry, Charlotte, Michael, Aurora, Abigail, Ava, Harper, and Matthew. \"(Charlotte is a villain if and only if (Charlotte is a villain and Char...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\...
{"split": "train", "index": 17018}
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, Avery, Aria, Evelyn, Victoria, Harper, Zoey, David, and Aiden. Jack said, \"(it is not the case that (Avery is a sinner or Zoey is a sinner or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 6], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2], [\"tel...
{"split": "train", "index": 17019}
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, James, Jack, Grace, William, Aria, Charlotte, Michael, and Chloe. In a statement by Zoey: \"it is not the case that ((Jack is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [...
{"split": "train", "index": 17020}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jackson, Logan, Victoria, Liam, Elizabeth, Isabella, Michael, Henry, and Sofia. \"if ((Michael is a pioneer and Liam is a laggard) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"telling-truth\", 8]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 8]]],...
{"split": "train", "index": 17021}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ava, Henry, Mia, Samuel, Noah, Riley, James, Lucas, and Emma. In a statement by Ava: \"Henry is a villain\". Henry asserted: \"((if Samuel is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"telli...
{"split": "train", "index": 17022}
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: Logan, Harper, Aurora, Sofia, Ella, Scarlett, Daniel, Chloe, and Liam. Logan said, \"((Scarlett is an angel if and only if Logan is an angel) or (Liam ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\...
{"split": "train", "index": 17023}
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, Oliver, Chloe, Amelia, William, Benjamin, Riley, Lucas, and Owen. According to Aurora, \"((William is a fool or William is a sage) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telli...
{"split": "train", "index": 17024}
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: Emily, Elizabeth, William, Mia, Evelyn, Henry, Oliver, James, and Emma. According to Emily, \"James is a devil or ((Mia is an angel) or (Elizabeth is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"or\", [\"lying\", 7], [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 2]]]], [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 7], [\"->\", [\"lying\", 1], [\"lying\", 6...
{"split": "train", "index": 17025}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Michael, Owen, Ethan, Scarlett, Luke, Elizabeth, Zoey, and Jack. In Henry's words: \"if (it is not the case that (Elizabeth is a saint or Etha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 1]]], [\"->\", [\"or\", [\"and\", [\"lying\", 5], [\"...
{"split": "train", "index": 17026}
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, Abigail, Elizabeth, Owen, Riley, Liam, Emma, Victoria, and Aiden. Oliver remarked, \"Elizabeth is a devil or (if (Victoria is an angel if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"or\", [\"lying\", 2], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]], [\"lying\", 1]], [\"lying\", 8]], [\"not\", [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 2]], [\"<=>\", [\"lying\", ...
{"split": "train", "index": 17027}
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: Liam, Aiden, Michael, Victoria, Penelope, David, Olivia, Jacob, and Sophia. \"Victoria is a fool\" - Liam. \"it is not the case that (it is not the case th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 6]]]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"not\",...
{"split": "train", "index": 17028}
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, Lucas, Harper, Abigail, Oliver, Avery, Sophia, Chloe, and Henry. Luke said, \"it is not the case that (Oliver is a knight and (Henry is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 17029}
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, Aria, Daniel, Jack, Henry, Harper, Alexander, Ella, and Liam. Owen told you that (if (Daniel is a hero or Owen is a hero) then (Aria is a hero ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"telling-truth\", 7]], [\"<=>\", [\"or\"...
{"split": "train", "index": 17030}
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, Liam, Grace, Ella, Jackson, Matthew, Evelyn, Chloe, and Ava. William told you that if ((Chloe is a laggard and Liam is a laggard and J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"lying\", 6]]], [\"and\", [\"lying\", 4], [\"<=>\", [\"lyi...
{"split": "train", "index": 17031}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Grace, Harper, Jacob, Lily, Michael, Matthew, Mason, and Logan. Emma noted, \"((Logan is a hero or Jacob is a hero or Harper is a hero) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 8]]], [\"telling-truth\", 7], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 1]...
{"split": "train", "index": 17032}
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, Mia, Riley, Emma, Owen, Aurora, Samuel, Jack, and Isabella. Scarlett said that it is not the case that (it is not the case that (Owen is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\...
{"split": "train", "index": 17033}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jackson, Charlotte, Elizabeth, David, Benjamin, Sofia, Ethan, Jack, and Daniel. \"(if (Sofia is a laggard or Benjamin is a laggard or Daniel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 4], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\",...
{"split": "train", "index": 17034}
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, Daniel, Sophia, Evelyn, Aiden, David, Chloe, Avery, and Charlotte. Jack commented, \"((Charlotte is an egoist or Chloe is an altruist or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"lying\", 5], [...
{"split": "train", "index": 17035}
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: Amelia, Sebastian, Chloe, Alexander, Emma, Riley, Isabella, Sophia, and Ethan. In Amelia's words: \"(Sebastian is a sage) and (it is not the case that (Eth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]]], [\"telling-...
{"split": "train", "index": 17036}
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: Alexander, James, Oliver, Benjamin, Sofia, Isabella, Abigail, Scarlett, and Luke. Alexander noted, \"Benjamin is a hero\". \"Abigail is a hero or ((A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 6], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 5]]]], [\"->\", [\"->\", [\"and\", [\...
{"split": "train", "index": 17037}
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: Abigail, Avery, Daniel, Lucas, David, Charlotte, Sofia, Ethan, and Jack. \"David is a hero,\" Abigail claimed. Avery expressed that Jack is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"lying\", 8], [\"lying\", 6], [\"and\", [\"lying\", 5], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-...
{"split": "train", "index": 17038}
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, Benjamin, Henry, Jackson, Aria, Sofia, Elizabeth, William, and David. Lily was heard saying, \"((Elizabeth is a devil) if and only if Aria is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 4]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"telling-truth\", 3]]], [...
{"split": "train", "index": 17039}
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, Alexander, Lucas, Charlotte, Mason, Sophia, Sofia, Mia, and Amelia. \"Sophia is a knight,\" Joseph mentioned. Alexander told you that if ((Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"lying\", 8], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]],...
{"split": "train", "index": 17040}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Scarlett, Chloe, Avery, James, Sebastian, Sophia, Ella, Michael, and Mia. In a statement by Scarlett: \"if (Sophia is an angel) then (it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]]]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"and\...
{"split": "train", "index": 17041}
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, Matthew, Joseph, Aria, Mia, Sebastian, Ella, Jackson, and Charlotte. According to Jack, \"((if Joseph is a laggard then Ella is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth\", 0]], [\"lying\", 1], [\"->...
{"split": "train", "index": 17042}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Amelia, Samuel, Charlotte, Alexander, Olivia, Ella, Jackson, Sophia, and Oliver. Amelia stated, \"if ((Amelia is a hero if and only if Alexander is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"not\", [\"not\",...
{"split": "train", "index": 17043}
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, Jacob, Matthew, Joseph, Ava, Sofia, Grace, Jack, and Emma. \"((if Joseph is a saint then Joseph is a sinner) and (Ava is a saint or Jacob ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 6]], [\"and\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"tell...
{"split": "train", "index": 17044}
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, Aiden, Olivia, Ava, Mason, Alexander, Sophia, Amelia, and Grace. Harper expressed that ((Aiden is a hero) and (Sophia is a villain if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 1]]]], [\"telling-truth\", 8], [\"or\", [\"<=>\", [\"->\", [\"tell...
{"split": "train", "index": 17045}
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, James, Sophia, Alexander, Michael, Sebastian, Logan, William, and Oliver. Jack noted, \"if (if (James is a sinner if and only if Oliver is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"lying\", 6]]]], [\"...
{"split": "train", "index": 17046}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, Grace, Oliver, Aria, Joseph, Daniel, Alexander, Charlotte, and Olivia. \"if (it is not the case that (Alexander is a saint and Olivia is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]], [\"<=>\", [\"lying\", 6], [\"lying\", 7...
{"split": "train", "index": 17047}
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, Avery, Riley, Jack, Owen, Lily, Scarlett, Charlotte, and Jacob. Daniel said, \"it is not the case that (it is not the case that (Charlotte is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]]], [\"and\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"lying\", 2]], [\"or\", [\"->\", ...
{"split": "train", "index": 17048}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Olivia, Liam, Ella, Avery, Victoria, Jacob, James, Sofia, and Sebastian. Olivia told you that (if (Victoria is a devil and Jacob is an angel) then (Lia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"l...
{"split": "train", "index": 17049}
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: Victoria, Evelyn, Penelope, Owen, Emily, Aria, Lucas, Charlotte, and Mia. Victoria said, \"(if (Evelyn is a villain if and only if Lucas is a hero) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 5], ...
{"split": "train", "index": 17050}
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: Luke, Liam, Chloe, James, Jack, Alexander, Jacob, Owen, and Samuel. In Luke's words: \"(Owen is an altruist) or (if (Alexander is an egoist and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"or\", [\"not\", [\"lying\", 7]], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"not\", [\"lying...
{"split": "train", "index": 17051}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Ava, Michael, Sofia, Matthew, Penelope, Isabella, Aria, and Elizabeth. Samuel expressed that Isabella is a villain. Ava commented, \"if ((Ari...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"lying\", 6], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"or...
{"split": "train", "index": 17052}
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: Chloe, Benjamin, Grace, Aurora, Olivia, Aria, Noah, Ava, and Jacob. Chloe asserted: \"Jacob is an egoist if and only if ((Noah is an egoist) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"<=>\", [\"lying\", 8], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 5]], [\"and\", [\"telling-truth\", 6], [\"lying\", 3]]]], [\"<=>\", [\"and\", [\...
{"split": "train", "index": 17053}
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, Daniel, Emma, Penelope, Grace, Liam, Matthew, Amelia, and Harper. Sofia said, \"((Liam is a devil) or (Matthew is a devil or Daniel is an angel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 6], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5]], [\"lying\", 4]]...
{"split": "train", "index": 17054}
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: Sebastian, Charlotte, Olivia, Aiden, Noah, Henry, Jack, Matthew, and Elizabeth. As Sebastian put it, \"((Matthew is a hero and Henry is a hero) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 5]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 7], [\"...
{"split": "train", "index": 17055}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Amelia, Benjamin, Alexander, Emma, Samuel, Lucas, Aiden, Sophia, and James. Amelia expressed that (Amelia is an angel if and only if (if Sophia is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 7]]]], [\"<=>\", [\"not\", [\"not\", [\"ly...
{"split": "train", "index": 17056}
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, James, Lily, Liam, Grace, Aria, Michael, Henry, and Riley. In a statement by Sebastian: \"(it is not the case that (if Liam is a sage then Lily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 5]...
{"split": "train", "index": 17057}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jackson, Jack, Abigail, Harper, Isabella, Benjamin, Aria, Amelia, and Grace. Jackson asserted: \"((if Jack is a pioneer then Abigail is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"lying\", 5]], [\"telling-truth\", 3], [\"and\", [\"->\", [\"<=>\", [\"...
{"split": "train", "index": 17058}
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, Henry, Mason, Logan, Olivia, Noah, Luke, Scarlett, and Alexander. Lily told you that ((Henry is a hero and Alexander is a villain and Luke is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 6]], [\"lying\", 7]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"lyi...
{"split": "train", "index": 17059}
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, Grace, Mia, Ava, William, Isabella, Ella, Harper, and Charlotte. As Ethan put it, \"((Harper is a saint and Grace is a sinner) and (Harper is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 1]], [\"or\", [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"telling-truth\", 2]], [\"and\", [\"o...
{"split": "train", "index": 17060}
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, Jackson, Lily, Oliver, Ava, Elizabeth, Olivia, Noah, and Jack. According to Matthew, \"Jack is an egoist\". Jackson said, \"Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"lying\", 8], [\"telling-truth\", 5], [\"or\", [\"lying\", 7], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 3]], [\"t...
{"split": "train", "index": 17061}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Abigail, Elizabeth, Matthew, Sebastian, Scarlett, Henry, Daniel, Ella, and David. As Abigail put it, \"if ((Abigail is a knight or Scarlett is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]...
{"split": "train", "index": 17062}
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, Chloe, Ethan, Luke, Sofia, Michael, Avery, Sophia, and Noah. \"(if Ethan is an egoist then (Ethan is an altruist or Sophia is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7], [\"lying\", 5]]], [\"or\", [\"->\", [\"lying\", 2],...
{"split": "train", "index": 17063}
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, Elizabeth, Emma, Jack, Matthew, Grace, Alexander, Benjamin, and Zoey. \"if ((if Emma is an egoist then Grace is an altruist) or (Grace is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"l...
{"split": "train", "index": 17064}
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: Lily, Lucas, Isabella, Elizabeth, Zoey, Abigail, Ethan, Henry, and Grace. \"it is not the case that (Isabella is a sinner and (if Elizabeth is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"->\", [\"lying\", 3], [\"lying\", 8]]]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", ...
{"split": "train", "index": 17065}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Michael, Daniel, Oliver, Sofia, Sophia, Harper, Evelyn, Noah, and Avery. According to Michael, \"Daniel is a saint or (it is not the case that (Olive...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]]], [\"not\", [\"lying\", 3]], [\"tellin...
{"split": "train", "index": 17066}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Lucas, Ava, Luke, Jacob, Alexander, Zoey, Aurora, and Emma. According to Mason, \"if (if (Ava is a villain or Jacob is a hero) then (Aurora is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 6], [\"or\", [\"telling-truth\", 5], ...
{"split": "train", "index": 17067}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lily, Sebastian, Emily, Matthew, Logan, Ava, Penelope, Joseph, and Ethan. Lily was heard saying, \"(if (Matthew is a knight) then (Logan is a knight ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7], [\"telling-truth\", 7]], [\"<=>\", [\"t...
{"split": "train", "index": 17068}
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, Sebastian, Evelyn, Jacob, Joseph, Chloe, Logan, Zoey, and Michael. \"((Chloe is a knight or Chloe is a knave) and (Chloe is a knave if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"and\", [\"telling-...
{"split": "train", "index": 17069}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lily, Daniel, William, Harper, James, Olivia, Owen, Alexander, and Benjamin. Lily asserted: \"((Owen is a laggard if and only if Lily is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"lying\", 3], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"te...
{"split": "train", "index": 17070}
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: Victoria, Penelope, Aurora, Jackson, Avery, Olivia, Lucas, Oliver, and Samuel. Victoria noted, \"Aurora is an egoist and (Penelope is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"lying\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"lying\", 1], [\"lying\", 8]]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 4...
{"split": "train", "index": 17071}
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, Owen, David, Scarlett, Joseph, Riley, Benjamin, Amelia, and William. Aiden asserted: \"(David is a devil and (Aiden is an angel and Benjamin is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"lying\", 4], [\"telling-truth\", 6...
{"split": "train", "index": 17072}
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, Chloe, Benjamin, Michael, Riley, Aurora, Emily, Owen, and Jackson. As Lucas put it, \"Chloe is an egoist if and only if (it is not the c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"<=>\", [\"lying\", 1], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3], [\"telling-truth\", 7]]]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"->\", [\"lying\",...
{"split": "train", "index": 17073}
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, Olivia, Jackson, Oliver, Aiden, Lily, Riley, and Sebastian. In Chloe's words: \"(it is not the case that (Aiden is a knave)) or ((Olivia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"telling-truth...
{"split": "train", "index": 17074}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sophia, Owen, Victoria, Samuel, Amelia, David, Elizabeth, Matthew, and Sebastian. Sophia stated, \"((Samuel is a villain if and only if Owen is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]...
{"split": "train", "index": 17075}
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, Emily, Samuel, David, Amelia, Henry, Elizabeth, Isabella, and Grace. \"if ((Grace is a knave) if and only if (Emily is a knave)) then ((Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"lying\"...
{"split": "train", "index": 17076}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Henry, Charlotte, James, Lily, Oliver, David, Ethan, Sofia, and Grace. Henry commented, \"it is not the case that ((Sofia is an egoist or David...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2]]]], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]]], [\"a...
{"split": "train", "index": 17077}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Luke, Evelyn, Liam, Olivia, Avery, Ethan, Joseph, Ava, and Amelia. Luke said, \"Ethan is an angel.\" Evelyn said that (if (Liam is an angel if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]]],...
{"split": "train", "index": 17078}
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: Isabella, Lucas, Oliver, Victoria, Sebastian, Charlotte, Luke, William, and Aria. Isabella remarked, \"(it is not the case that (if Oliver is a sage then C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]]]], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying...
{"split": "train", "index": 17079}
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, James, Joseph, Noah, Ethan, Avery, Emma, Riley, and Henry. According to Penelope, \"((Joseph is an angel if and only if Noah is a devil) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]]],...
{"split": "train", "index": 17080}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Ethan, Alexander, Benjamin, Lily, Riley, Charlotte, Mia, and Jack. Emma remarked, \"it is not the case that ((Emma is a sage or Lily is a sage) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"not\", [\"lying\", 6]]]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\...
{"split": "train", "index": 17081}
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, Zoey, Sophia, Noah, Ella, Amelia, Elizabeth, Joseph, and Emma. Victoria said that ((Emma is a fool if and only if Noah is a fool) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"lying\", 6]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\...
{"split": "train", "index": 17082}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Joseph, Riley, Jacob, Abigail, Emma, Harper, Liam, Scarlett, and Michael. Joseph told you that Abigail is a villain. Riley asserted: \"(Michael is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"lying\", 8], [\"not\", [\"lying\", 8]]], [\"or\", [\"lying\", 5], [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"telling-truth\", 2], [\"telling-tru...
{"split": "train", "index": 17083}
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: Olivia, Elizabeth, Luke, Sebastian, Evelyn, Noah, Ethan, Ella, and Daniel. Olivia commented, \"((if Ethan is a sage then Sebastian is a sage) and (if Olivi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\...
{"split": "train", "index": 17084}
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, Ava, Aurora, Jackson, David, Avery, William, Harper, and Sophia. Michael commented, \"Jackson is a sage\". Ava asserted: \"Jackson is a sage if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"or\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"and\", [\"<=>\...
{"split": "train", "index": 17085}
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, Matthew, Isabella, Owen, David, Noah, Aiden, Chloe, and Ava. Jackson noted, \"Owen is a fool\". According to Matthew, \"((if Jackson is a sage the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"lying\", 3], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 8]], [\"->\", [\"lying\", 7], [\"lying\",...
{"split": "train", "index": 17086}
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: Grace, Logan, Alexander, Michael, Henry, Charlotte, Daniel, Jack, and Mia. In Grace's words: \"((Jack is a knave or Charlotte is a knight or Logan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]...
{"split": "train", "index": 17087}
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, Logan, Ethan, David, Jackson, Benjamin, Zoey, Mason, and Matthew. \"it is not the case that ((David is a hero if and only if Ethan is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 8], [\"lying\", 1], [\"telling-truth\", 0]]]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"or\", ...
{"split": "train", "index": 17088}
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, Sofia, Daniel, Emily, Aiden, Logan, Penelope, Lucas, and Charlotte. \"Sofia is a knight or (it is not the case that (Emily is a knave and Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]]]], [\"or\", [\"telling-truth\", 5], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"t...
{"split": "train", "index": 17089}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ava, Elizabeth, Sophia, Evelyn, Matthew, Olivia, Ethan, Charlotte, and Emily. Ava said that Elizabeth is a hero or ((Sophia is a villain) and (Elizab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\"...
{"split": "train", "index": 17090}
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, Aria, Samuel, Emily, Lily, Aiden, Liam, Luke, and Sebastian. Logan noted, \"(it is not the case that (Luke is a villain if and only if Sebasti...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"lying\", 8], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"telling-tr...
{"split": "train", "index": 17091}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Henry, Scarlett, Daniel, Lily, Mason, Grace, Jacob, Penelope, and Matthew. Henry expressed that ((if Lily is a devil then Scarlett is a devil) or (Dani...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", ...
{"split": "train", "index": 17092}
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: Joseph, Penelope, Evelyn, Harper, Chloe, Emily, Mason, Victoria, and Logan. \"(if (Logan is a pioneer) then Chloe is a pioneer) or (it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 8]], [\"telling-truth\", 4]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"telling-truth\", 4], [\"telling-truth\", 5], [\"and\", [\"->\", [\"or\", [\"telling...
{"split": "train", "index": 17093}
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, Mason, Benjamin, Olivia, Harper, Logan, Noah, Owen, and Aria. According to Joseph, \"(it is not the case that (if Noah is an altruist t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"telling-truth\", 6]], [\"->\", [\"<=>\", [\"lying\", 2], [\"->\", [\"lying\", 6], [\"lying\", 2]]], [\"not\", [\"not\", [\"tellin...
{"split": "train", "index": 17094}
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: Emily, Avery, Matthew, Luke, Noah, Joseph, Sofia, Sophia, and Ella. Emily expressed that ((if Sophia is a fool then Noah is a fool) or (if Luke is a fool t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 2]...
{"split": "train", "index": 17095}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, William, Jackson, Aria, Zoey, Aurora, Abigail, Alexander, and Lily. \"Aria is an altruist,\" Emily declared. According to William, \"it ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 7], [\"lying\", 0]]]], [\"and\", [\"lying\", 4], [\"or\", [\"->\...
{"split": "train", "index": 17096}
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, Sofia, Jack, Matthew, Aiden, Alexander, Ava, Logan, and Benjamin. Chloe expressed that it is not the case that (if Alexander is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"not\", [\"->\", [\"lying\", 5], [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]]], [\"not\", [\"lying\", 4]], [\"and\", [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 17097}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Samuel, Michael, Jacob, Ella, Scarlett, Abigail, Emily, Sophia, and Aurora. In Samuel's words: \"Samuel is a knight and Ella is a knight\". \"Emily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 6], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 0], [\"telling-truth\", 5], [\"lying\", 3]],...
{"split": "train", "index": 17098}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Joseph, Logan, Benjamin, Riley, Henry, William, Olivia, Charlotte, and Luke. \"Luke is a sinner\" - Joseph. Logan expressed that (it is not the case ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"lying\", 8], [\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 0], [\"lying\",...
{"split": "train", "index": 17099}