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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Ava, Liam, Matthew, William, Michael, Zoey, David, and Mia. Abigail remarked, \"if ((Liam is a saint if and only if Zoey is a sinner) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"ly...
{"split": "train", "index": 18900}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Owen, Jackson, Daniel, William, Mason, Sofia, Benjamin, and Luke. Jack noted, \"(Owen is an altruist) or (Sofia is an egoist or (Jackson ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 6], [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"tel...
{"split": "train", "index": 18901}
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, Jacob, Ella, Samuel, Ethan, Riley, Oliver, Chloe, and Noah. Logan expressed that it is not the case that ((if Samuel is an angel then Ethan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 5], [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling...
{"split": "train", "index": 18902}
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, Chloe, James, Aiden, Harper, Ava, Jack, Abigail, and Sophia. David was heard saying, \"((Chloe is a knight and James is a knight and Aiden is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 6], [\"lying\", 3]]], [\"lying\", 7]], [\"<=>\", [\"and...
{"split": "train", "index": 18903}
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, Lucas, Elizabeth, Amelia, Scarlett, Harper, Zoey, Joseph, and Benjamin. Noah said, \"((Lucas is an angel) and (Zoey is a devil if and only if Har...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0], [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-...
{"split": "train", "index": 18904}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Michael, Sophia, Logan, Scarlett, Mason, Chloe, Emma, and Aurora. \"(Aurora is an egoist if and only if (Logan is an egoist or Mason is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"or\", [\"lying\", 3], [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 6], [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [...
{"split": "train", "index": 18905}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jackson, Scarlett, Jacob, Elizabeth, Jack, Amelia, Charlotte, Emma, and Daniel. Jackson expressed that if (it is not the case that (Daniel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 3]]]], [\"or\", [\"lying\", 8], [\"->...
{"split": "train", "index": 18906}
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: Sebastian, David, Luke, Owen, Alexander, Lily, James, Joseph, and Olivia. Sebastian asserted: \"(if Owen is a knave then (Joseph is a knight and Davi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]]]], [\"and\", [\"->\", [\"<=>\", [\"lying\...
{"split": "train", "index": 18907}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Joseph, Isabella, Benjamin, Amelia, David, Emma, Jack, Ella, and Riley. Joseph commented, \"((if Benjamin is a hero then Emma is a villain) and (Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"tel...
{"split": "train", "index": 18908}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ella, Logan, Harper, Lucas, Oliver, Sebastian, Henry, Samuel, and Liam. \"Samuel is a fool or ((if Lucas is a sage then Henry is a sage) and (Samuel is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"or\", [\"lying\", 7], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 4], [\"lying\", 2]], [\"or\...
{"split": "train", "index": 18909}
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, Henry, Isabella, Owen, Emily, Charlotte, Ethan, Aria, and Sebastian. David commented, \"Isabella is a knave\". \"((Ethan is a knave or Isabell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 2]], [\"or\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\"...
{"split": "train", "index": 18910}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emily, Alexander, Aurora, Logan, Mia, James, David, Grace, and Joseph. Emily asserted: \"it is not the case that (it is not the case that (Grace is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 7]]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"<=>\", [\"or...
{"split": "train", "index": 18911}
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: Daniel, Henry, Ella, William, Aria, Michael, Avery, Alexander, and Ethan. In Daniel's words: \"((if Aria is a devil then Avery is a devil) or Alexander...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], ...
{"split": "train", "index": 18912}
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: James, Jackson, Zoey, Emily, Aria, Owen, Lucas, Isabella, and Scarlett. According to James, \"if ((Zoey is a fool) and (Jackson is a sage and James is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 6], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"tel...
{"split": "train", "index": 18913}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Ava, Charlotte, Liam, Ethan, Abigail, Noah, Sebastian, and David. According to Emma, \"(it is not the case that (David is a sage or Charlotte is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-t...
{"split": "train", "index": 18914}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Elizabeth, Luke, Joseph, Sophia, Noah, David, Victoria, and Grace. Logan was heard saying, \"((Sophia is a hero) if and only if (David is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\",...
{"split": "train", "index": 18915}
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: Daniel, Sophia, Jackson, Luke, Zoey, Matthew, Scarlett, Oliver, and Grace. Daniel said, \"Grace is a fool.\" Sophia commented, \"if ((if Luke is a sage the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"lying\", 8], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 7], [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 2], [\"not\", [\"tel...
{"split": "train", "index": 18916}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Zoey, Oliver, Abigail, Ava, Jack, Emily, Owen, and Mia. In Amelia's words: \"Abigail is an egoist\". Zoey commented, \"if (if Jack is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"lying\", 3], [\"->\", [\"->\", [\"telling-truth\", 5], [\"or\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]]], [\"or\", [\"or\"...
{"split": "train", "index": 18917}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jackson, Matthew, Samuel, Penelope, Elizabeth, William, Ella, Grace, and Olivia. Jackson said that ((Elizabeth is a sage) and (Samuel is a sage if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"lying\", 8], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 3], [\"<=>...
{"split": "train", "index": 18918}
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, Sebastian, Mia, Charlotte, Amelia, Ella, Samuel, Scarlett, and Aria. Avery commented, \"if ((Scarlett is a pioneer) if and only if (Seba...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"or\", [\"telling-truth...
{"split": "train", "index": 18919}
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: Jacob, Sophia, Aiden, Jackson, Samuel, Logan, Chloe, Benjamin, and David. Jacob stated, \"it is not the case that ((Chloe is a laggard or Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 2], [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 4], [\"telling-truth\", 8], [\"tellin...
{"split": "train", "index": 18920}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: David, Mason, William, Ava, Mia, Benjamin, Jackson, Avery, and Victoria. In David's words: \"(it is not the case that (David is a hero and William is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2]]], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 4]]], [\"or\", [\"tellin...
{"split": "train", "index": 18921}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Abigail, Owen, Emma, Victoria, Noah, Liam, Luke, Amelia, and Logan. \"(it is not the case that (if Owen is a hero then Logan is a hero)) and ((Noah i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1144, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0...
{"split": "train", "index": 18922}
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, Joseph, Liam, Oliver, Aiden, David, Ella, Abigail, and Sebastian. Harper was heard saying, \"(it is not the case that (Liam is a fool if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1145, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 7]], [\"telling-truth\", 8], [\"<=>\", [\"telling-tr...
{"split": "train", "index": 18923}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, William, Zoey, Jack, Sebastian, Grace, Emily, Alexander, and David. \"it is not the case that ((Grace is an altruist and Emily is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1146, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6], [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"and\", [...
{"split": "train", "index": 18924}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jacob, Zoey, Matthew, Aurora, Scarlett, Benjamin, Penelope, Evelyn, and Charlotte. In a statement by Jacob: \"Benjamin is a villain and (it is not th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1147, \"statements\": [[\"and\", [\"lying\", 5], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth\",...
{"split": "train", "index": 18925}
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: Sebastian, Evelyn, William, Owen, Liam, Amelia, Benjamin, Noah, and Mason. Sebastian noted, \"(Liam is a laggard and Benjamin is a pioneer and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1148, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]]]], [\"->\", [\"and\", [\"...
{"split": "train", "index": 18926}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Grace, Harper, Sophia, William, Abigail, Riley, Owen, Oliver, and Aurora. Grace told you that ((Riley is a sage if and only if Abigail is a sage) or (Abiga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1149, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-trut...
{"split": "train", "index": 18927}
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, Charlotte, Penelope, Aria, Henry, Avery, Aurora, James, and Emily. In Lily's words: \"it is not the case that ((Lily is a knight and James is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1150, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"or\", [\"lying\", 7], [\"lying\...
{"split": "train", "index": 18928}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Daniel, Alexander, Oliver, Charlotte, Avery, Ella, Elizabeth, Aiden, and Emily. Daniel said, \"it is not the case that (Emily is a pioneer and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1151, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 8], [\"lying\", 1], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]]]], [\"or\", [\"and\", [\"not\", [\"lying\",...
{"split": "train", "index": 18929}
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: Harper, Charlotte, Joseph, William, Aurora, Lily, Avery, Henry, and Zoey. Harper was heard saying, \"Aurora is a knight if and only if (it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1152, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]]]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 8]...
{"split": "train", "index": 18930}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ella, Zoey, Avery, Sebastian, Samuel, Elizabeth, Daniel, Matthew, and Isabella. Ella expressed that ((Avery is a knight and Zoey is a knave and Sebas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1153, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"lying\", 8]], [\"<=...
{"split": "train", "index": 18931}
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: Abigail, Emily, Victoria, Oliver, Benjamin, Lily, Michael, Charlotte, and Jacob. Abigail was heard saying, \"(Emily is a fool or (Lily is a fool)) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1154, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"lying\", 4], [\"or\", [\"lying\", 4], [\"lying\", 6]]]], [\"not\", [...
{"split": "train", "index": 18932}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Lily, William, Charlotte, David, Logan, Jack, Sebastian, and James. Henry noted, \"Sebastian is a fool\". Lily stated, \"((William is a fool if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1155, \"statements\": [[\"lying\", 7], [\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"->\...
{"split": "train", "index": 18933}
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: Jackson, Lily, Jacob, Avery, Alexander, Charlotte, Evelyn, Samuel, and Jack. In Jackson's words: \"(it is not the case that (if Jacob is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1156, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"l...
{"split": "train", "index": 18934}
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: Benjamin, Elizabeth, Evelyn, Michael, Aurora, Lucas, Amelia, Ella, and Penelope. Benjamin asserted: \"if ((Amelia is a knight or Michael is a knight)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1157, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6], [\"lying\", 8],...
{"split": "train", "index": 18935}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Joseph, Isabella, Avery, Aria, Ava, Liam, Henry, Amelia, and Noah. \"(it is not the case that (Henry is a hero)) or (Isabella is a villain and Aria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1158, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 6]]], [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 0], [\"telling-truth\", 4]]...
{"split": "train", "index": 18936}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Noah, Aurora, Jackson, Luke, Matthew, Chloe, Isabella, and Emily. \"Luke is a hero or (it is not the case that (Emily is a hero)) or (if (No...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1159, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"not\", [\"lying\", 8]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"->\", [\"lying\", 8], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\"...
{"split": "train", "index": 18937}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Zoey, Harper, Owen, Ella, Abigail, Riley, Charlotte, Michael, and Sebastian. In Zoey's words: \"((Riley is an altruist if and only if Abigail i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1160, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"lying\", 5], [\"->\", [\"telling-truth\", 2], [\"telling-truth\...
{"split": "train", "index": 18938}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Ella, Lucas, Scarlett, Isabella, Emma, Amelia, Jackson, and Alexander. Lily commented, \"Alexander is a saint\". In a statement by Ella: \"((Is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1161, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 8], [\"...
{"split": "train", "index": 18939}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Charlotte, Evelyn, Avery, Benjamin, Luke, Riley, Sofia, Victoria, and Abigail. In Charlotte's words: \"it is not the case that (it is not the case th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1162, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 5]]]], [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 7], [\"tellin...
{"split": "train", "index": 18940}
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: Daniel, Liam, Lucas, Sofia, David, Penelope, William, Victoria, and Mason. Daniel asserted: \"William is a devil\". In Liam's words: \"Daniel is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1163, \"statements\": [[\"lying\", 6], [\"or\", [\"lying\", 0], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"tellin...
{"split": "train", "index": 18941}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, Isabella, Amelia, Grace, Joseph, Mason, Riley, Luke, and Owen. Mia commented, \"if (it is not the case that (if Owen is a villain then Amelia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1164, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"<=>\", [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-trut...
{"split": "train", "index": 18942}
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: Elizabeth, Jackson, Samuel, Abigail, Grace, Aiden, Aurora, Isabella, and Benjamin. \"if Abigail is a sinner then (if (Elizabeth is a saint if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1165, \"statements\": [[\"->\", [\"lying\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 8]]]], [\"lying\", 0], [\"->\", ...
{"split": "train", "index": 18943}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sophia, Aiden, Sebastian, David, Owen, Emma, Samuel, Mia, and Luke. Sophia said that if Owen is a knave then ((if Sebastian is a knight then Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1166, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 5], [\"<=>\", [\"lying\", 8], [\"lying\", 5]]]], [\"not\...
{"split": "train", "index": 18944}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: David, Ava, Alexander, Joseph, Matthew, Jackson, William, Aurora, and Victoria. \"((David is a hero if and only if Alexander is a hero) or Matthew is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1167, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"tell...
{"split": "train", "index": 18945}
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, Mia, Oliver, Avery, Jackson, Evelyn, Sofia, Aurora, and Penelope. Ethan commented, \"Penelope is an altruist\". Mia was heard saying, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1168, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"telling-truth\", 0...
{"split": "train", "index": 18946}
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: Jack, Victoria, Mia, Mason, Aurora, Aria, Elizabeth, Emily, and Grace. According to Jack, \"((Mia is a sage and Grace is a fool) and (Elizabeth is a sage a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1169, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 2], [\"telling-truth\", 7]], [\"telling-truth\", 7], [\"tellin...
{"split": "train", "index": 18947}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Samuel, Liam, Joseph, Jack, Olivia, Isabella, Chloe, Michael, and Sebastian. Samuel was heard saying, \"(if (Isabella is a knight or Chloe is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1170, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 7], [\"lying\", 6], [\"telli...
{"split": "train", "index": 18948}
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: Emily, Harper, Emma, Michael, Chloe, Henry, Elizabeth, Sofia, and Mia. In Emily's words: \"Michael is a knave\". Harper was heard saying, \"(it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1171, \"statements\": [[\"lying\", 3], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"or\", [\"lying\", 6], [\"telling-truth\", 2], [\"lying\", 4], [\"lyi...
{"split": "train", "index": 18949}
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, Oliver, Owen, Benjamin, Sofia, Emily, Charlotte, Noah, and Aria. Henry asserted: \"Owen is a pioneer\". Oliver told you that if (Emily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1172, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\...
{"split": "train", "index": 18950}
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: Logan, Ella, Jackson, Henry, Noah, Zoey, William, Abigail, and Harper. Logan expressed that if (if (Harper is a pioneer if and only if Ella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1173, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"telling-truth\", 6]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"telling-truth\", 0]]]], [\"<=>...
{"split": "train", "index": 18951}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Benjamin, Grace, Victoria, Elizabeth, Sophia, Luke, Ava, Amelia, and Mason. In Benjamin's words: \"Victoria is a sinner\". Grace stated, \"Benjamin i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1174, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"not\", [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]]], [\"not\", [\"and\", [\"and\", [\"telling-t...
{"split": "train", "index": 18952}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Jackson, Abigail, Joseph, Sebastian, Victoria, Ava, Riley, and Liam. \"((Sebastian is a devil and Joseph is an angel and Victoria is a devil) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1175, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 5]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"te...
{"split": "train", "index": 18953}
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, Isabella, Mia, Sophia, Ella, Michael, Aria, Daniel, and Victoria. Owen stated, \"if (Isabella is a villain or (Victoria is a villain and Victor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1176, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"and\", [\"lying\", 8], [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]], [\"not\", [\"lying\...
{"split": "train", "index": 18954}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Zoey, Victoria, Liam, Ella, Elizabeth, Amelia, Ava, Henry, and Luke. In Zoey's words: \"if (if (Ava is a saint and Victoria is a saint and Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1177, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 8], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"t...
{"split": "train", "index": 18955}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lucas, William, David, Lily, Aiden, Charlotte, Jacob, Jack, and Evelyn. Lucas told you that if (it is not the case that (Charlotte is an angel if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1178, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"or\",...
{"split": "train", "index": 18956}
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: Charlotte, Joseph, Evelyn, David, Jack, Avery, William, Emma, and Liam. Charlotte said, \"it is not the case that ((Joseph is an angel if and only if E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1179, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]]]], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"...
{"split": "train", "index": 18957}
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, Liam, Ella, Grace, Penelope, Scarlett, David, Michael, and Avery. \"it is not the case that (it is not the case that (Penelope is a devil if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1180, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth...
{"split": "train", "index": 18958}
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: Samuel, Aurora, Jackson, James, Jacob, Lucas, Mia, Logan, and Lily. Samuel noted, \"Lucas is a sinner if and only if (Jackson is a sinner if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1181, \"statements\": [[\"<=>\", [\"lying\", 5], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"...
{"split": "train", "index": 18959}
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: Emma, Daniel, Jack, Penelope, Mia, Noah, Evelyn, Isabella, and Matthew. In a statement by Emma: \"Mia is an egoist and ((Evelyn is an altruist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1182, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7], [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"and\", [\"lyi...
{"split": "train", "index": 18960}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Samuel, Oliver, Jackson, Chloe, Olivia, Emma, Aurora, Mia, and Amelia. Samuel said, \"((Olivia is a laggard if and only if Oliver is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1183, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 6]...
{"split": "train", "index": 18961}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ethan, James, Charlotte, Sebastian, Chloe, Emma, Olivia, Elizabeth, and Lily. \"((James is a villain or Lily is a hero or Lily is a villain) and (Seb...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1184, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 8], [\"lying\", 8]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"lying\", 7], [\"telling-truth\", 6]], [\"or\"...
{"split": "train", "index": 18962}
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: Samuel, Henry, Daniel, Alexander, Liam, Oliver, Aiden, Jackson, and Charlotte. In Samuel's words: \"Daniel is a sinner\". As Henry put it, \"(it is n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1185, \"statements\": [[\"lying\", 2], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"telling-truth...
{"split": "train", "index": 18963}
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: Jackson, Michael, Jack, Victoria, Aiden, Henry, Benjamin, Harper, and Mia. \"if ((Michael is a knave) or (Benjamin is a knight if and only if Harper ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1186, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]...
{"split": "train", "index": 18964}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Michael, Daniel, Zoey, Scarlett, Benjamin, Henry, Luke, Samuel, and Abigail. Michael commented, \"(Zoey is a sinner) or (Scarlett is a saint) or ((Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1187, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 8], [\"lying\", 7], [\"telling-truth\", 8]]]], [\"not\", [...
{"split": "train", "index": 18965}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Elizabeth, Matthew, David, Owen, Benjamin, Charlotte, Emma, Mason, and Riley. In a statement by Elizabeth: \"it is not the case that ((Emma is a devil)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1188, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"lying\", 1]]]], [\"or\", [\...
{"split": "train", "index": 18966}
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: Jackson, Noah, Alexander, Ella, Jack, David, Evelyn, Joseph, and Luke. Jackson was heard saying, \"Ella is an angel\". Noah asserted: \"David is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1189, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 5], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 7]], [\"and\", [...
{"split": "train", "index": 18967}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mia, Michael, Emma, Victoria, Joseph, Noah, Evelyn, Mason, and Charlotte. Mia noted, \"Michael is a knave if and only if ((Charlotte is a knight) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1190, \"statements\": [[\"<=>\", [\"lying\", 1], [\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0...
{"split": "train", "index": 18968}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Samuel, Daniel, Isabella, Emily, Mia, Scarlett, James, and Matthew. Alexander noted, \"(it is not the case that (Mia is a fool or Daniel is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1191, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 5], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 8]]]], [\"<=>\", [\"->\", [\...
{"split": "train", "index": 18969}
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, Ava, Zoey, Jackson, Emma, Lucas, Jacob, Michael, and Penelope. \"(Penelope is a sinner) or ((Emma is a saint) or (Penelope is a sinner or Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1192, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 8], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 1]]]], [\"and\", [\"or\",...
{"split": "train", "index": 18970}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Liam, Samuel, Penelope, Mia, Elizabeth, Victoria, Oliver, Evelyn, and Jackson. Liam said that if Evelyn is an angel then ((Elizabeth is an angel or Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1193, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 8]], [\"lying\", 1]]], [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-trut...
{"split": "train", "index": 18971}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ethan, Sofia, Isabella, David, James, Charlotte, Emma, Logan, and William. Ethan expressed that it is not the case that ((Charlotte is a hero if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1194, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 7]], [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lyi...
{"split": "train", "index": 18972}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Grace, Amelia, Ethan, Riley, William, Zoey, Liam, Ella, and Logan. According to Grace, \"Ethan is a saint\". Amelia stated, \"if ((Zoey is a saint or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1195, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"lying\", 5], [\"lying\", 8]]], [\...
{"split": "train", "index": 18973}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Jacob, Penelope, Chloe, Amelia, Noah, Evelyn, Zoey, and Harper. As Henry put it, \"Evelyn is a fool\". \"Penelope is a sage and (Amelia is a fool if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1196, \"statements\": [[\"lying\", 6], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 7]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 6]], [\"->\", [\"telling-t...
{"split": "train", "index": 18974}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Oliver, William, Abigail, Zoey, Amelia, Aria, Logan, and Elizabeth. Alexander commented, \"((William is a sage) or (Oliver is a fool) or (Zoey i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1197, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 7], [...
{"split": "train", "index": 18975}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Amelia, Liam, Sebastian, Joseph, Matthew, Lucas, Evelyn, and Jacob. According to Jackson, \"(Jacob is a saint if and only if (Joseph is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1198, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 8], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7], [\"telling-truth\", 2]]], [\"and\", [...
{"split": "train", "index": 18976}
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: Riley, Aiden, Michael, Matthew, Aurora, Sebastian, Aria, Olivia, and Isabella. Riley expressed that it is not the case that (it is not the case that (M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1199, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"telling-truth\", 1], [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"no...
{"split": "train", "index": 18977}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Jacob, Emily, Oliver, Sebastian, Sophia, Mason, Olivia, and Lucas. Logan expressed that ((Olivia is a hero) and (Jacob is a hero)) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1200, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 7]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 6]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 5], [\"telling-truth\...
{"split": "train", "index": 18978}
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: Evelyn, Sebastian, Abigail, Matthew, Aurora, Riley, Ava, Scarlett, and Elizabeth. In a statement by Evelyn: \"(it is not the case that (Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1201, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 8]]], [\"or\", [\"lying\", 5], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\"telling...
{"split": "train", "index": 18979}
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: Aurora, Sophia, Sebastian, Jackson, Zoey, Samuel, Chloe, Sofia, and Lily. Aurora said, \"Zoey is a knave.\" As Sophia put it, \"(Sebastian is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1202, \"statements\": [[\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 2], [\"not\", [\"lying\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lyi...
{"split": "train", "index": 18980}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Mia, Ava, Alexander, Aiden, Chloe, Henry, Aurora, and Benjamin. As Jack put it, \"if ((Henry is an egoist) and (Aiden is an altruist) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1203, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"tellin...
{"split": "train", "index": 18981}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Ella, Olivia, Amelia, Abigail, Michael, Liam, Alexander, and Emma. Victoria expressed that ((Olivia is a sage and Michael is a sage and Ella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1204, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5], [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\"...
{"split": "train", "index": 18982}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Scarlett, Amelia, Abigail, Henry, Joseph, Emily, Sophia, Owen, and Jackson. Scarlett asserted: \"((Sophia is a devil and Abigail is a devil and Jackson...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1205, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 7]...
{"split": "train", "index": 18983}
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, Chloe, Elizabeth, Olivia, Riley, Ava, Sebastian, Penelope, and Liam. Matthew said that if (it is not the case that (Olivia is a sinner)) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1206, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-trut...
{"split": "train", "index": 18984}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Avery, Noah, Michael, Benjamin, William, Harper, Mason, Elizabeth, and Jackson. Avery expressed that (Noah is an altruist and Jackson is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1207, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"lying\", 7]]], [\"telling-truth\", 2], [\"and\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"...
{"split": "train", "index": 18985}
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: Evelyn, Henry, Jackson, Charlotte, Riley, Emma, Michael, Aiden, and Abigail. Evelyn said that Jackson is a sage and ((Jackson is a sage or Jackson is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1208, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 8], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 6]]], [...
{"split": "train", "index": 18986}
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: Avery, Harper, Joseph, Luke, Alexander, Liam, Ella, Emily, and Charlotte. Avery said that if Emily is a hero then ((Joseph is a hero if and only if A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1209, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]]], [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"or...
{"split": "train", "index": 18987}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, Chloe, Ella, Grace, Elizabeth, Logan, James, Zoey, and Lucas. Sebastian was heard saying, \"Logan is a sage if and only if (it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1210, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"...
{"split": "train", "index": 18988}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Charlotte, Henry, Oliver, Sophia, Ava, Riley, Emma, Liam, and Jackson. Charlotte expressed that (if Riley is a hero then Charlotte is a hero) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1211, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 7], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"tellin...
{"split": "train", "index": 18989}
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: Jack, James, Aiden, Aurora, Logan, Grace, Zoey, Lucas, and Chloe. In Jack's words: \"it is not the case that ((Jack is a knave) or (Grace is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1212, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", ...
{"split": "train", "index": 18990}
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: Owen, Henry, Ava, Avery, Abigail, Ethan, Jack, Aiden, and Samuel. Owen stated, \"((Avery is a fool if and only if Samuel is a sage) and (Samuel is a fool a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1213, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth...
{"split": "train", "index": 18991}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Emma, Ava, Isabella, Noah, Liam, Matthew, Mia, and Ella. \"Emma is a sinner,\" Harper claimed. \"if ((Matthew is a saint if and only if Harpe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1214, \"statements\": [[\"lying\", 1], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"lying\", 8], [\"lying\", 5]], [\"or\", [\"telling...
{"split": "train", "index": 18992}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Grace, Benjamin, Victoria, Sophia, Jack, Harper, Mason, Aurora, and Zoey. Grace expressed that Benjamin is a fool. Benjamin stated, \"Harper is a sage\". V...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1215, \"statements\": [[\"lying\", 1], [\"not\", [\"lying\", 5]], [\"telling-truth\", 0], [\"->\", [\"lying\", 8], [\"lying\", 4]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 2], [\...
{"split": "train", "index": 18993}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Aiden, Benjamin, Samuel, Emma, Charlotte, Olivia, Sebastian, and Aria. In Scarlett's words: \"((Aria is a villain and Olivia is a villain a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1216, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 5], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 2], [\"telling-truth\", ...
{"split": "train", "index": 18994}
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, Noah, Oliver, Jack, Mason, Zoey, William, Logan, and Olivia. Joseph told you that (it is not the case that (Noah is a fool and Oliver is a fool)) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1217, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], ...
{"split": "train", "index": 18995}
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: Emily, Avery, Henry, Aria, Harper, Mia, Logan, James, and William. Emily noted, \"((Avery is a knight if and only if Logan is a knave) and (Harper is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1218, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 5], [\"lying\", 7]]], [\"telling-truth\", 0]], [\"<=>\"...
{"split": "train", "index": 18996}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Olivia, Ava, Sofia, Joseph, Lucas, Benjamin, Jack, James, and Henry. \"it is not the case that ((Sofia is a laggard or Henry is a laggard) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1219, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]]], [\"->\", [\"not\", [\"->\", [\"...
{"split": "train", "index": 18997}
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: Evelyn, Charlotte, Ava, Sophia, Lucas, Oliver, Sebastian, Riley, and Matthew. Evelyn told you that ((Evelyn is an altruist or Sebastian is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1220, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5], [\"telling-truth\", 3], ...
{"split": "train", "index": 18998}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Michael, Scarlett, Olivia, Ella, Amelia, Liam, David, Lucas, and Noah. In a statement by Michael: \"(if (Ella is an egoist and Lucas is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1221, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"telling...
{"split": "train", "index": 18999}