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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Penelope, Luke, Michael, Ethan, James, Mason, Aria, David, and Oliver. Penelope told you that David is an altruist. Luke said that (if (if Mich...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0], [\"lying...
{"split": "train", "index": 17100}
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: Joseph, Aiden, Noah, Henry, Emma, Aria, Elizabeth, Zoey, and Lily. According to Joseph, \"(Henry is a devil or (Emma is an angel) or (Elizabeth is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"t...
{"split": "train", "index": 17101}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Ella, Alexander, Liam, Daniel, William, Abigail, Logan, and Joseph. According to Matthew, \"it is not the case that (if (Alexander is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]]], [\"lying\", 5], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", ...
{"split": "train", "index": 17102}
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, Jack, Oliver, Matthew, Luke, Sofia, Scarlett, Logan, and Evelyn. Emily said, \"if (Emily is an altruist if and only if (Oliver is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"lying\", 2]]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]]], [...
{"split": "train", "index": 17103}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Riley, Scarlett, Abigail, Evelyn, Sophia, Luke, Victoria, Lily, and Chloe. As Riley put it, \"(it is not the case that (Lily is a sinner and Victoria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]]]], [\"not\", [\"or\", [\"lying\", 5], [\"<=>\", [...
{"split": "train", "index": 17104}
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: William, Riley, Aurora, Isabella, Sophia, Luke, Ella, Daniel, and Grace. As William put it, \"((Grace is a sinner or Aurora is a saint or Daniel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 2], [\"lying\", 7]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 7]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 3]]...
{"split": "train", "index": 17105}
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, Ava, James, Avery, Samuel, Emma, Owen, Elizabeth, and Joseph. Michael expressed that (if (if Samuel is a sinner then Ava is a sinner) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 7], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]]]], [\"<...
{"split": "train", "index": 17106}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ethan, Penelope, Mia, Samuel, Ava, James, Charlotte, Aria, and Emma. In Ethan's words: \"it is not the case that ((Charlotte is a knave if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"or\"...
{"split": "train", "index": 17107}
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, Lily, Henry, Liam, Penelope, Olivia, Owen, Abigail, and Amelia. Michael said, \"((if Lily is an angel then Olivia is a devil) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"and\", [\"telling-truth\", 1], [\"lying\", 7], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]], [\"no...
{"split": "train", "index": 17108}
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, Amelia, Sofia, Lily, Henry, Mason, Liam, Oliver, and Ethan. Owen stated, \"(it is not the case that (Henry is a villain and Mason is a villain)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 5]]], [\"<=>\", [\"lying\", 6], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"and\", [\"telling-truth\", 5], [\"->\", [\"not\", [\"telli...
{"split": "train", "index": 17109}
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: Lucas, Mia, Samuel, Elizabeth, Scarlett, Luke, Abigail, Olivia, and Henry. Lucas expressed that Henry is a laggard. Mia remarked, \"(Henry is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"lying\", 8], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 7], [\"not\", [\"te...
{"split": "train", "index": 17110}
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, Daniel, Emma, Noah, Sofia, Avery, Oliver, Aiden, and Abigail. Ethan said that ((Emma is an altruist or Noah is an egoist) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"->\", [\"lying\", 5], [\"not\", [\"lying\", 5]]]], [\"not\", [\"telling-truth\"...
{"split": "train", "index": 17111}
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, Jackson, Jack, Evelyn, Ethan, Emma, Daniel, Aurora, and Chloe. Lily was heard saying, \"((Ethan is a villain and Chloe is a hero and Ethan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6], [\"lying\", ...
{"split": "train", "index": 17112}
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: Jacob, Victoria, Evelyn, Ella, Henry, Jackson, Zoey, Abigail, and Ethan. In a statement by Jacob: \"Ella is a sage if and only if (Ella is a fool if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"or\", [\"lying\", 6], [\"telling-truth\", 7], [\"lying\", 8]], [\"and\",...
{"split": "train", "index": 17113}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Scarlett, Ella, Matthew, Jackson, Ava, Sophia, Abigail, Samuel, and Henry. Scarlett said that (it is not the case that (Henry is a sage)) if and only if (S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 8]]], [\"<=>\", [\"lying\", 5], [\"->\", [\"lying\", 7], [\"lying\", 5]]]], [\"<=>\", [\"lying\", 5], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], ...
{"split": "train", "index": 17114}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Jackson, Grace, Lucas, Henry, Isabella, Oliver, Riley, and William. Aiden commented, \"it is not the case that (if (if Lucas is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 8], [\"lying\", 1]]]], [\"lying\", 3], [\"not\", [\"or\", [\"lying\", 6], [\"->\", [\"telling-tru...
{"split": "train", "index": 17115}
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: Emily, Alexander, Isabella, Sophia, Olivia, Aiden, Aurora, Penelope, and Lily. \"(it is not the case that (Aiden is a villain or Olivia is a villain ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 8], [\"lying\", 1]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3]...
{"split": "train", "index": 17116}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Ava, Alexander, James, Luke, David, Riley, Isabella, and Abigail. \"Abigail is an angel or ((Abigail is an angel and James is a devil and Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"<=>\", [\"lying\", 3], [\"lying...
{"split": "train", "index": 17117}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Alexander, Olivia, Avery, Grace, Charlotte, Benjamin, Ethan, Zoey, and Aria. As Alexander put it, \"if (it is not the case that (Grace is a knight)) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 5]], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-tr...
{"split": "train", "index": 17118}
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: Mason, Luke, Logan, Liam, Penelope, Emma, Matthew, Charlotte, and Sophia. Mason asserted: \"((Sophia is an angel if and only if Emma is an angel) or (C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 7], [\"lying\", 6]]]], [\"or\", [\"...
{"split": "train", "index": 17119}
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: Lucas, Evelyn, Oliver, Mia, Michael, Daniel, Emily, Liam, and Henry. \"if ((if Lucas is a hero then Henry is a villain) if and only if (if Emily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"te...
{"split": "train", "index": 17120}
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: Zoey, Evelyn, Luke, James, Ethan, Jackson, Michael, Elizabeth, and David. Zoey expressed that (Jackson is a knight or (Evelyn is a knave or David is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 5], [\"or\", [\"lying\", 1], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 3]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-...
{"split": "train", "index": 17121}
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: Benjamin, Henry, Ava, Ella, Logan, Olivia, Owen, Jack, and Samuel. Benjamin commented, \"it is not the case that (if Samuel is a laggard then O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]]]], [\"not\", [\"not\", [\"<=>\", [\"lying\", 1...
{"split": "train", "index": 17122}
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, Sofia, Daniel, Chloe, Aria, Victoria, Henry, Jack, and Matthew. \"(if (if Henry is an angel then Chloe is a devil) then (if Daniel is a devil the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 4], [\"tel...
{"split": "train", "index": 17123}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Scarlett, Liam, Luke, Amelia, Matthew, Oliver, Jack, and Aurora. Evelyn expressed that it is not the case that ((Scarlett is an angel) or (Liam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]],...
{"split": "train", "index": 17124}
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, Abigail, Owen, Emily, Michael, Aiden, Mia, Zoey, and Benjamin. Alexander noted, \"((if Zoey is a hero then Abigail is a villain) or (Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 3], [\"telling-truth\", 0]...
{"split": "train", "index": 17125}
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, Avery, Zoey, Evelyn, Charlotte, Lucas, Jackson, Samuel, and Michael. Aiden said that it is not the case that (if (Charlotte is a hero or Zoey ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 5], [\"lyin...
{"split": "train", "index": 17126}
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: Harper, Emily, Lily, Luke, Charlotte, Michael, Ella, Ethan, and Evelyn. Harper stated, \"if ((if Luke is a devil then Ella is a devil) or (Evelyn is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\...
{"split": "train", "index": 17127}
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: Mason, Daniel, David, Sebastian, Penelope, Avery, Samuel, Noah, and Aurora. \"(if (Samuel is an angel) then (Penelope is an angel and Avery is a devil ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4]], [\"not\", [\"lying\",...
{"split": "train", "index": 17128}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Scarlett, Amelia, Owen, Penelope, Aiden, Riley, Sebastian, Chloe, and Alexander. In a statement by Scarlett: \"if (if (Alexander is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"or\", [\"lying\", 7], [\"not\", [\"telling-truth\", 6]], [\"and\", [\"t...
{"split": "train", "index": 17129}
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: Isabella, Henry, Emma, Liam, Ella, Noah, Zoey, Samuel, and Aria. In Isabella's words: \"((if Zoey is a hero then Aria is a hero) or (Isabella is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"te...
{"split": "train", "index": 17130}
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, Michael, Sofia, Logan, Alexander, Evelyn, Avery, Henry, and Sebastian. Penelope told you that Henry is a devil. Michael stated, \"(it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"lying\", 7], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"a...
{"split": "train", "index": 17131}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Samuel, Henry, Ethan, Benjamin, Matthew, Penelope, Riley, Lucas, and Daniel. \"if (it is not the case that (Samuel is a fool)) then ((Daniel is a sage and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 1]], [\"lying\", 1]]], [\"telling-truth\", 7], [\"->\", [\"or\", [\"and\", [\"telling-truth\...
{"split": "train", "index": 17132}
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, Zoey, Ella, Luke, William, Aurora, Penelope, Riley, and Evelyn. \"Riley is a laggard or (if Riley is a laggard then (William is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"or\", [\"lying\", 7], [\"->\", [\"lying\", 7], [\"not\", [\"lying\", 4]]]], [\"or\", [\"or\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 6]]], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"tel...
{"split": "train", "index": 17133}
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, Owen, Olivia, Penelope, Sofia, Emily, Grace, David, and Samuel. Avery commented, \"((if Grace is a pioneer then Olivia is a laggard) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 8], [\"->\", [\"lying\", 6], [\"lying\", 4]]]...
{"split": "train", "index": 17134}
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: Lucas, Matthew, Elizabeth, Ava, Avery, Evelyn, Benjamin, Henry, and Ella. Lucas told you that ((Henry is a laggard) if and only if (if Elizabet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 5]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]]], [...
{"split": "train", "index": 17135}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, Logan, Lucas, Jackson, Emily, Mason, Noah, Olivia, and Mia. In Luke's words: \"((Lucas is a pioneer if and only if Mia is a laggard) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"not\", [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [...
{"split": "train", "index": 17136}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Charlotte, Benjamin, Abigail, Noah, Grace, Henry, Riley, Olivia, and Owen. Charlotte told you that it is not the case that ((Benjamin is a fool) or (Owen i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 6], [\"lying\", 4]]]], [\"and\", [\"and\", [...
{"split": "train", "index": 17137}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Scarlett, Evelyn, Elizabeth, Noah, Victoria, Sebastian, Matthew, and Alexander. \"((Sebastian is a devil) or Alexander is a devil or (Alexander i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 8], [\"and\", [\"telling-truth\", 8], [\"lying\", 1], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]]...
{"split": "train", "index": 17138}
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, Alexander, Oliver, David, Jackson, Mason, Ethan, Ava, and Henry. Olivia noted, \"((Alexander is an angel if and only if Jackson is an angel) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 17139}
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, Logan, Daniel, Luke, William, Evelyn, Jacob, Lucas, and Emily. In a statement by Olivia: \"(if (Evelyn is a fool or Daniel is a fool or Olivia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"lying\", 7]], [\"->\", [\"not\", [\"lying\", 8]], [\"tel...
{"split": "train", "index": 17140}
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, Zoey, Luke, Abigail, Lucas, Joseph, James, Sophia, and Jackson. In a statement by Isabella: \"(if Zoey is a pioneer then (Joseph is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"lying\", 3], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 6], [\"or\", [\"lying\", ...
{"split": "train", "index": 17141}
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, Grace, Riley, Mia, Sebastian, Michael, James, Samuel, and Avery. Jacob commented, \"(it is not the case that (Avery is a sinner)) and (it is n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 8], [\"lying\", 5]]]], [\"telling-trut...
{"split": "train", "index": 17142}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Zoey, Victoria, Benjamin, Emma, Noah, Ava, Sophia, Abigail, and Matthew. As Zoey put it, \"if (Benjamin is a fool if and only if Emma is a fool) then Emma ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 3]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]...
{"split": "train", "index": 17143}
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, Benjamin, Aiden, Lily, Emily, Joseph, Matthew, Aurora, and Isabella. Jack remarked, \"Benjamin is a villain\". \"Aurora is a villain,\" Benjami...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1588, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"lying\", 7], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"or\", [\"tellin...
{"split": "train", "index": 17144}
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: Harper, Mia, Amelia, Emily, Elizabeth, Lucas, Joseph, Chloe, and Emma. Harper said that (it is not the case that (if Amelia is a sage then Joseph is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1589, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7], [\"lying\", 8]]], [\"->\...
{"split": "train", "index": 17145}
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, Lily, Isabella, Charlotte, Lucas, Zoey, Oliver, and Samuel. David noted, \"it is not the case that ((if David is a sage then Oliver is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1590, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 5]], [\"or\", [\"lying\", 5], [\"lying\", 6]]]], [\"or\"...
{"split": "train", "index": 17146}
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: Zoey, Aurora, Scarlett, Sebastian, Lily, Ethan, Isabella, Sofia, and Joseph. Zoey remarked, \"Joseph is a knave\". In Aurora's words: \"((Aurora is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1591, \"statements\": [[\"lying\", 8], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]], [\"telling-truth\", 2], [\"not\", [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", ...
{"split": "train", "index": 17147}
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: Samuel, Aurora, William, Henry, Jack, Alexander, Jackson, Noah, and Emily. \"Jackson is an angel,\" Samuel claimed. Aurora expressed that Alexander is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1592, \"statements\": [[\"telling-truth\", 6], [\"lying\", 5], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 7]]]], [\"->\", [\"or\", [\"an...
{"split": "train", "index": 17148}
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, Luke, Riley, Oliver, Daniel, Jacob, Aiden, and Henry. Alexander said that it is not the case that ((Riley is a saint if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1593, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"lying\", 3], [\"lying\", 8]]]], [\"or\", [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"...
{"split": "train", "index": 17149}
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, Penelope, Amelia, Riley, Michael, Olivia, Isabella, Oliver, and Elizabeth. Noah was heard saying, \"((Noah is an angel and Isabella is an angel a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1594, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"lying\", 5]], [\"telling-truth\", 5]], [\"->\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4...
{"split": "train", "index": 17150}
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, Michael, Logan, Daniel, Riley, Emma, Avery, Aria, and Ella. \"((Avery is a devil and Emma is a devil and Logan is a devil) or Emma is an angel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1595, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 5], [\"lying\", 2]], [\"telling-truth\", 5], [\"<=>\", [\"lying\", 1], [\"lying\", 8]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]...
{"split": "train", "index": 17151}
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, Logan, Sebastian, Benjamin, Aiden, Isabella, Evelyn, and Olivia. Sofia said, \"it is not the case that (if (Aiden is a devil or Olivia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1596, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"lying\", 1]]], [\"or\", [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 3]], [\"and\", [\"and\", [...
{"split": "train", "index": 17152}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Alexander, Grace, Mason, Matthew, James, Henry, Evelyn, Lucas, and David. Alexander told you that David is a laggard if and only if (it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1597, \"statements\": [[\"<=>\", [\"lying\", 8], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"telling-truth\", 8], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 7]], [\"->\", [\"lying\", 4], [\"...
{"split": "train", "index": 17153}
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, Luke, Jackson, Sebastian, Oliver, Sofia, Logan, Zoey, and Samuel. David said, \"Logan is a knight.\" Luke commented, \"it is not the case that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1598, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->...
{"split": "train", "index": 17154}
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, Benjamin, Chloe, Lily, Evelyn, Charlotte, Elizabeth, James, and Aria. Olivia stated, \"Lily is an angel\". In a statement by Benjamin: \"(if (A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1599, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 8], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 8]]], [\"->\", [\"telling-truth\...
{"split": "train", "index": 17155}
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: Mason, Logan, James, Penelope, Aurora, Lily, Aria, Michael, and William. \"if ((if Aurora is an angel then Mason is an angel) if and only if (Lily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1600, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying...
{"split": "train", "index": 17156}
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, Harper, Scarlett, Amelia, David, Ethan, Liam, Chloe, and Abigail. As Joseph put it, \"it is not the case that (it is not the case that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1601, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7]]]], [\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]]], [\"or\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 6]], [\"an...
{"split": "train", "index": 17157}
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: Evelyn, David, Daniel, Alexander, Harper, Ella, Charlotte, Chloe, and Liam. Evelyn was heard saying, \"((if Chloe is a hero then David is a hero) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1602, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 6]], [\"or\", [\"telling-t...
{"split": "train", "index": 17158}
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: Sofia, Emma, Avery, Elizabeth, Joseph, Lucas, Charlotte, Oliver, and Aiden. Sofia said, \"(it is not the case that (Charlotte is a pioneer)) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1603, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1], [\"lying\", 8]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"lyi...
{"split": "train", "index": 17159}
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: Noah, Matthew, Michael, Ava, Oliver, Liam, Jack, Charlotte, and Owen. \"if (it is not the case that (if Noah is a pioneer then Oliver is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1604, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", 8]], [\"lying\", 5], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 5], [...
{"split": "train", "index": 17160}
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: William, Michael, Lucas, Olivia, Victoria, Amelia, Aiden, Ethan, and David. William stated, \"David is a saint\". Michael stated, \"Olivia is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1605, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"and\", [\"<=>\", [\"not...
{"split": "train", "index": 17161}
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, Sophia, Amelia, Owen, Zoey, James, Liam, Noah, and Chloe. \"if Amelia is a pioneer then ((Chloe is a pioneer or Amelia is a laggard or No...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1606, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 2], [\"telling-truth\", 7]], [\"not\", [\"lying\", 5]]]], [\"->\", [\"and\", [\"lying\", 7], [\"->\", [\"telling-tru...
{"split": "train", "index": 17162}
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, Victoria, Harper, Riley, Evelyn, Sofia, Owen, Elizabeth, and Olivia. Lily said that Riley is a hero. \"((if Elizabeth is a hero then Victoria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1607, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling...
{"split": "train", "index": 17163}
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: Logan, Aiden, Benjamin, Jacob, Harper, Lily, Lucas, Emily, and Grace. Logan said that if (it is not the case that (Aiden is an altruist if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1608, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4],...
{"split": "train", "index": 17164}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Oliver, Daniel, Ella, Penelope, Alexander, Elizabeth, William, Lily, and Noah. As Oliver put it, \"((Daniel is a sinner) and (Lily is a sinner)) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1609, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 7]]]], [...
{"split": "train", "index": 17165}
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, Sophia, Isabella, Mason, Emily, Sebastian, Aurora, Emma, and Matthew. Lily remarked, \"((Isabella is a knave if and only if Mason is a knave) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1610, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 1]], [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", ...
{"split": "train", "index": 17166}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Matthew, Riley, Ava, Evelyn, Alexander, Henry, Aria, Luke, and Mia. In a statement by Matthew: \"it is not the case that (if (Riley is a sinner or Al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1611, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]]], [\"telling-truth\", 7], [\"lying\", 1], [\"telling-truth\", 4], [\"and\", [\"not\", [\"->\...
{"split": "train", "index": 17167}
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, Evelyn, Michael, James, Owen, Sebastian, Riley, Mason, and Grace. Chloe was heard saying, \"if ((Mason is a pioneer and Grace is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1612, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"lying\", 1]], [\"lying\", 1]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], ...
{"split": "train", "index": 17168}
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, Luke, Lily, Michael, Sebastian, Benjamin, Elizabeth, Ella, and David. Jackson was heard saying, \"(if (Sebastian is a sage if and only if Elizabet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1613, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"->\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"l...
{"split": "train", "index": 17169}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ava, Aria, Alexander, Victoria, Jack, Benjamin, Owen, Luke, and Henry. In a statement by Ava: \"(it is not the case that (Aria is a laggard or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1614, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 3]]]], [\"lying\", 0]...
{"split": "train", "index": 17170}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Elizabeth, Aria, Liam, Zoey, Daniel, Evelyn, Sebastian, Abigail, and Isabella. \"Sebastian is a knave,\" Elizabeth mentioned. \"((Daniel is a knave o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1615, \"statements\": [[\"lying\", 6], [\"and\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 1]], [\"and\", [\"lying\", 6], [\"lying\", 0], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 7], [\"tell...
{"split": "train", "index": 17171}
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: Ella, Abigail, Matthew, Alexander, Benjamin, Michael, William, Henry, and Lily. Ella told you that Lily is a villain. \"Michael is a hero or ((Lily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1616, \"statements\": [[\"lying\", 8], [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"and\", [\"t...
{"split": "train", "index": 17172}
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: Mason, Charlotte, Emma, Benjamin, Chloe, Lucas, Mia, Logan, and Riley. Mason asserted: \"Charlotte is an egoist\". Charlotte commented, \"Mia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1617, \"statements\": [[\"lying\", 1], [\"telling-truth\", 6], [\"lying\", 0], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"->\", [\"and...
{"split": "train", "index": 17173}
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, Emily, Avery, Olivia, Ava, Liam, James, Abigail, and Aiden. \"Avery is an altruist,\" Chloe declared. Emily noted, \"(it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1618, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]], [\"lying\", 2]]], [\"lying\", 1], [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 17174}
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: Logan, Samuel, Emma, Sebastian, Ava, Elizabeth, Sofia, Michael, and Lily. Logan was heard saying, \"((Emma is an altruist if and only if Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1619, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]], [\"telling-truth\", 3], [\"and\", [\"lying\", 5], [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"lying\", 5]], [\"or\", [\"->\...
{"split": "train", "index": 17175}
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, Noah, Jacob, William, Avery, Joseph, Amelia, Benjamin, and Aiden. \"Noah is a villain\" - Mason. \"((William is a hero or Jacob is a hero or A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1620, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"not\", [\"lying\", 5]], [\"tell...
{"split": "train", "index": 17176}
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, Abigail, Alexander, Emily, Emma, Jackson, Ella, Benjamin, and Joseph. Logan said, \"Joseph is a devil and (if (Benjamin is a devil and Ella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1621, \"statements\": [[\"and\", [\"lying\", 8], [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 5]]]],...
{"split": "train", "index": 17177}
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, Ava, Grace, Alexander, Owen, Noah, Henry, Penelope, and Isabella. In Emma's words: \"(it is not the case that (Henry is a villain)) and Noah is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1622, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8]], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 17178}
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, David, Ethan, Victoria, Ava, Evelyn, Chloe, Amelia, and Mia. Logan commented, \"if ((if Mia is a fool then Chloe is a fool) and (Mia is a fool and D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1623, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", ...
{"split": "train", "index": 17179}
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: Zoey, Riley, Evelyn, Sophia, Noah, Amelia, Grace, Benjamin, and Ava. Zoey asserted: \"it is not the case that ((if Sophia is a knight then Evelyn is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1624, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]]]], [\"not\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"lying\"...
{"split": "train", "index": 17180}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sophia, Daniel, Scarlett, Henry, Chloe, James, Victoria, Benjamin, and Emily. In Sophia's words: \"(it is not the case that (Benjamin is a saint and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1625, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"lying\", 6]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]]], [\"<...
{"split": "train", "index": 17181}
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, David, Aria, Michael, Emily, Luke, Jackson, Jacob, and Noah. Sophia stated, \"(if (if Aria is a hero then Luke is a hero) then (Noah is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1626, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"tel...
{"split": "train", "index": 17182}
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: Victoria, Chloe, Isabella, Grace, Matthew, Jacob, Abigail, Aria, and Charlotte. \"if (if Grace is an angel then (Aria is a devil or Matthew is an angel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1627, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"or\", [\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]]]], [\"<=>...
{"split": "train", "index": 17183}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Chloe, Grace, Aria, Matthew, Riley, Mason, Sophia, Logan, and Ella. Chloe remarked, \"if ((Ella is a saint if and only if Riley is a sinner) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1628, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 8]]], [\"lying\", 4]], [\"telling-truth\", 5], [\"not\", [\"and\", [\"->\", [\"lying\", 7], [\"...
{"split": "train", "index": 17184}
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: Emma, Lily, James, Jacob, Aurora, Evelyn, Harper, Grace, and Avery. Emma asserted: \"((Jacob is a laggard or Harper is a pioneer) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1629, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6]], [\"lying\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-t...
{"split": "train", "index": 17185}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Scarlett, Samuel, Amelia, Luke, Riley, Zoey, Abigail, and Emma. According to Ava, \"if (Riley is a fool or (Amelia is a sage and Abigail is a fool)) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1630, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"and\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]]...
{"split": "train", "index": 17186}
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, Oliver, Zoey, David, Noah, Olivia, Abigail, Aiden, and Victoria. Daniel expressed that if (it is not the case that (Olivia is a knight and Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1631, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"lying\", 5]]], [\"or\", [\"not\", [\"a...
{"split": "train", "index": 17187}
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: Liam, Ella, David, Mason, Harper, Joseph, Aiden, Noah, and Oliver. \"David is a knight,\" Liam claimed. Ella said that if David is a knave then ((Lia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1632, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]]], [\"<=>\", [\"->\", [\"and\", [\"telling-...
{"split": "train", "index": 17188}
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: Harper, Aiden, Evelyn, Ella, Elizabeth, Victoria, Avery, Samuel, and Sebastian. In a statement by Harper: \"Elizabeth is a sage\". \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1633, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 8]]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4]], [\"and\", [\"<=>\", [\"telling-truth...
{"split": "train", "index": 17189}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Joseph, Sofia, Michael, Harper, Aria, Luke, Jacob, Scarlett, and Mia. Joseph told you that it is not the case that (it is not the case that (if Sofia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1634, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 5], [\"telling-truth\", 3], [\"lying\", 8]]], [...
{"split": "train", "index": 17190}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Henry, Mia, Emily, Abigail, Ethan, Isabella, David, Aiden, and Ella. Henry was heard saying, \"((Ella is a laggard) if and only if Isabella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1635, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 5]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]], [\"lying\", 8]], [\"not\", [...
{"split": "train", "index": 17191}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Charlotte, Matthew, Sophia, Grace, Emma, Sebastian, Abigail, Samuel, and Luke. \"Abigail is a laggard,\" Charlotte declared. Matthew expressed ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1636, \"statements\": [[\"lying\", 6], [\"lying\", 7], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"lyin...
{"split": "train", "index": 17192}
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: Lucas, Logan, Amelia, Victoria, Olivia, Liam, Scarlett, Mia, and Aurora. According to Lucas, \"Mia is a pioneer or (Logan is a pioneer if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1637, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 3], [\"lying\", 7], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 6], [\"tellin...
{"split": "train", "index": 17193}
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, Riley, Henry, Scarlett, Sebastian, James, Grace, Jack, and Oliver. Aiden was heard saying, \"it is not the case that ((if Scarlett is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1638, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\...
{"split": "train", "index": 17194}
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: Evelyn, Mia, Victoria, Liam, Olivia, Aurora, Emma, Noah, and David. \"if Emma is a villain then (Victoria is a villain if and only if (if Emma is a v...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1639, \"statements\": [[\"->\", [\"lying\", 6], [\"<=>\", [\"lying\", 2], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]]], [\"->\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"telling-tru...
{"split": "train", "index": 17195}
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, Avery, Jackson, Noah, Aurora, Amelia, Emily, Evelyn, and Scarlett. \"((if Jackson is a laggard then Jackson is a pioneer) or (Scarlett ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1640, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 8], [\"lying\", 6]]], [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"telling-tr...
{"split": "train", "index": 17196}
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, Michael, Olivia, Emily, Riley, Mason, Henry, Harper, and Jackson. Lily commented, \"(it is not the case that (Emily is an angel and Henry is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1641, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"telling-truth\", 6]], [\"telling-truth\", 7], [\"->\", [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 5]]...
{"split": "train", "index": 17197}
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, Emily, David, Charlotte, Aiden, James, Scarlett, Henry, and Logan. Penelope said that James is a knight. Emily told you that if (if (Logan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1642, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 4]],...
{"split": "train", "index": 17198}
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, Harper, Logan, Emily, William, David, Lily, Lucas, and Penelope. \"if ((William is an altruist and David is an egoist and Emily is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1643, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"no...
{"split": "train", "index": 17199}