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