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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: Olivia, Oliver, Elizabeth, Henry, Aria, Logan, Owen, Ava, and Avery. Olivia said, \"(if (Aria is a saint or Owen is a sinner) then Elizabeth is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying...
{"split": "train", "index": 13400}
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, Joseph, Daniel, Sebastian, Grace, Oliver, Penelope, Benjamin, and Elizabeth. Logan told you that ((if Elizabeth is a hero then Daniel is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 8], [\"lying\", 3]]]], [\"telling-...
{"split": "train", "index": 13401}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aria, Michael, Sophia, Grace, Lily, Emily, Elizabeth, Olivia, and Matthew. Aria stated, \"((Elizabeth is a hero if and only if Grace is a villain) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 7]]]], [\"->\", [\"->\", [\"and\", [\"lying\", 6], [...
{"split": "train", "index": 13402}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, David, Logan, Zoey, Samuel, Grace, Jacob, Benjamin, and Owen. Isabella noted, \"(it is not the case that (Grace is a devil if and only if Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"telling-truth\", 8]...
{"split": "train", "index": 13403}
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, James, Charlotte, Ava, Benjamin, Oliver, Daniel, Aiden, and Victoria. \"if (it is not the case that (Aiden is a villain or Ava is a hero)) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth...
{"split": "train", "index": 13404}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Grace, Victoria, David, Oliver, Elizabeth, Penelope, Logan, and Emily. Mason expressed that it is not the case that (it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling...
{"split": "train", "index": 13405}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Elizabeth, Joseph, Isabella, Liam, Zoey, Ethan, David, Sophia, and Riley. Elizabeth remarked, \"if (if (Sophia is a pioneer if and only if Jose...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"lying\", 1]], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]]]],...
{"split": "train", "index": 13406}
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: Jacob, Sofia, Aria, Riley, Scarlett, Sebastian, Liam, Lucas, and Grace. Jacob said that it is not the case that ((Sofia is a devil if and only if Liam ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]]], [\"and\", [\"telling-truth\", 8], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]...
{"split": "train", "index": 13407}
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, Jack, Henry, Oliver, Matthew, Lily, Victoria, Michael, and Samuel. Avery remarked, \"it is not the case that ((Oliver is a pioneer if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]]], [\"telling-truth\", 7], [\"and\", [\"<=>\", [\"->\", [\"lying\", 8], [\"tel...
{"split": "train", "index": 13408}
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, Penelope, Henry, Abigail, David, Mia, Daniel, Luke, and Elizabeth. \"(if (if Elizabeth is a laggard then Daniel is a laggard) then (Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6]], [\"and\", [\"lying\", 7], [\"tell...
{"split": "train", "index": 13409}
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, Abigail, Aria, Jack, Matthew, Zoey, Riley, Benjamin, and Harper. Samuel said, \"if (if (Harper is a pioneer) then (Benjamin is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"telling-truth\", 0]], [\"lying\", 0], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"te...
{"split": "train", "index": 13410}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Elizabeth, Victoria, Ella, Logan, Noah, Sebastian, Oliver, Jack, and Daniel. Elizabeth stated, \"if ((Jack is a pioneer and Jack is a laggard) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"lying\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]...
{"split": "train", "index": 13411}
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: Aria, Jack, Sophia, Ella, Matthew, Michael, Jacob, Emily, and Lucas. Aria noted, \"((Michael is a sage and Lucas is a sage) or (Matthew is a sage)) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"te...
{"split": "train", "index": 13412}
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, Sofia, Joseph, Evelyn, Charlotte, Ethan, Logan, Aiden, and Aria. David expressed that Charlotte is a knave. According to Sofia, \"(it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]]], [\"or\", [\"or\...
{"split": "train", "index": 13413}
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: Abigail, Luke, Aria, Harper, Jackson, Mia, Noah, Joseph, and Matthew. Abigail noted, \"it is not the case that ((Aria is an altruist or Mia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"->\", [\"lying\", 2], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 6]]...
{"split": "train", "index": 13414}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mason, Daniel, Grace, Lucas, Isabella, Owen, James, Zoey, and Evelyn. Mason expressed that (it is not the case that (Mason is an altruist if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"and\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]]]], [\"not\", [\"or\", [\"not\", [\"telli...
{"split": "train", "index": 13415}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Logan, Ethan, Amelia, Harper, Abigail, Chloe, Scarlett, and Grace. \"Amelia is a devil and Logan is an angel,\" Matthew declared. Logan was he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 0], [\"l...
{"split": "train", "index": 13416}
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, Chloe, Joseph, Lucas, Aiden, Henry, Michael, Evelyn, and Emma. According to Ethan, \"it is not the case that ((Evelyn is a hero and Lucas is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"lying\", 6]]]], [\"not\", [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]]], [\"not\", [\"->\", ...
{"split": "train", "index": 13417}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ella, Mason, Samuel, Jack, Isabella, Emma, Penelope, Sofia, and Liam. \"Jack is a laggard,\" Ella declared. Mason was heard saying, \"((Jack is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"lying\", 3], [\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"lying\", 7]]], ...
{"split": "train", "index": 13418}
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: Ava, Owen, Harper, Olivia, Joseph, Riley, Ethan, Liam, and David. Ava told you that Harper is an angel if and only if ((David is an angel) or (Harper i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]]]], [\"or\", [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\...
{"split": "train", "index": 13419}
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: Charlotte, Joseph, Amelia, Chloe, Noah, Ethan, Emma, William, and Emily. \"Joseph is a knave if and only if Joseph is a knight\" - Charlotte. Joseph ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"lying\", 3], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"or\", [\"<=>\"...
{"split": "train", "index": 13420}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Matthew, Liam, Charlotte, Emma, Benjamin, David, Olivia, and Oliver. In a statement by William: \"it is not the case that ((Emma is a saint ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [...
{"split": "train", "index": 13421}
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, Henry, Ella, Grace, Michael, Zoey, Jackson, William, and Jack. \"Jackson is a knave,\" Harper claimed. Henry stated, \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"lying\", 6], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\"lying\", 1], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"not\", [\"not\", [\...
{"split": "train", "index": 13422}
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: Logan, Riley, Luke, Olivia, Samuel, James, Oliver, Emily, and Harper. Logan told you that ((Riley is a knave or Luke is a knight) or (Harper is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 8]]]], [\"not\", [\"or\", [...
{"split": "train", "index": 13423}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lily, Matthew, Alexander, Victoria, Ava, Avery, Scarlett, Emily, and Lucas. Lily was heard saying, \"it is not the case that (if Scarlett is a devil th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"not\", [\"->\", [\"lying\", 6], [\"->\", [\"lying\", 8], [\"telling-truth\", 0]]]], [\"->\", [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-t...
{"split": "train", "index": 13424}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Grace, Matthew, Logan, Victoria, Henry, Zoey, Lily, David, and Luke. Grace said that (if (Logan is an altruist or Victoria is an egoist) then M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 1]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"telling-truth\", 7]], [\"and\"...
{"split": "train", "index": 13425}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lucas, Ella, Mia, Sebastian, Emily, Oliver, Scarlett, Avery, and Amelia. \"((Mia is an egoist if and only if Sebastian is an altruist) or (Luca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 6], [\"->\", [\"lying\", 5], [\"lying\", 4]]]], [\"or...
{"split": "train", "index": 13426}
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, Elizabeth, Penelope, Abigail, Amelia, Scarlett, Evelyn, Emma, and Aurora. In a statement by Lily: \"it is not the case that (Elizabeth is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 0]]]], [\"and\", [\"or\", [\"or\", [\"telli...
{"split": "train", "index": 13427}
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: Victoria, Oliver, Daniel, Logan, David, Owen, Lucas, Lily, and Mia. Victoria asserted: \"if (it is not the case that (if Mia is a knight then Logan i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"lying\", 6]], [\"<=>\", [\"not\", [\"telling-truth\",...
{"split": "train", "index": 13428}
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, Victoria, Daniel, William, Henry, Lily, Harper, Jackson, and David. Jack stated, \"it is not the case that (Daniel is an egoist or (Victo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"telling-truth\", 5]], [\"not\", [\"or\", [\"telling-...
{"split": "train", "index": 13429}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Amelia, Jack, Oliver, Luke, Penelope, Charlotte, Riley, Victoria, and Olivia. In Amelia's words: \"((if Charlotte is a devil then Olivia is a devil) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 4]]], [\"->\...
{"split": "train", "index": 13430}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aiden, Liam, Sebastian, Aurora, James, Samuel, Riley, Daniel, and Ella. Aiden commented, \"Sebastian is a villain or Aurora is a hero\". \"(Samuel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\", 0]]]...
{"split": "train", "index": 13431}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Liam, Sebastian, Avery, Owen, Sofia, Emily, Chloe, Aiden, and Elizabeth. Liam noted, \"Elizabeth is a fool\". Sebastian told you that (Chloe is a sage and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"lying\", 8], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 8]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\...
{"split": "train", "index": 13432}
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, David, Jack, Luke, Emily, Charlotte, Sofia, Aria, and Abigail. \"(Abigail is a devil if and only if (if Sofia is a devil then Oliver is an ange...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"->\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 7], [\"lying\", 7]]]], [\"<=>\", [\"<=>\", [\"->\", [\"t...
{"split": "train", "index": 13433}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Olivia, David, Joseph, Samuel, Aurora, Zoey, Isabella, and Riley. As Aiden put it, \"if ((Aiden is a devil) if and only if (Zoey is an angel)) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 6]]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 5]], [\"->\", [\"lying\", 4], [\"lying\", 3]]]], [\"not\", [\"not\", [\"not...
{"split": "train", "index": 13434}
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: Ava, Zoey, Matthew, Amelia, Michael, Mason, David, Evelyn, and Aria. \"Mason is a saint\" - Ava. Zoey told you that ((Amelia is a sinner if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"not\", [\"lying\", 5]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\...
{"split": "train", "index": 13435}
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, Jackson, Sofia, Harper, Samuel, James, Emily, Lily, and Ella. As Chloe put it, \"if Samuel is a sinner then Lily is a saint\". Jackson was hea...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 6]], [\"telling-truth\...
{"split": "train", "index": 13436}
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: Abigail, Zoey, Grace, Lily, Ethan, Sebastian, Mia, Lucas, and Jack. Abigail noted, \"((Mia is an altruist and Lily is an egoist) or (Jack is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 2], [\"tel...
{"split": "train", "index": 13437}
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: Avery, Aiden, Harper, Amelia, Mia, Sofia, Jackson, Liam, and James. Avery expressed that (Mia is a devil if and only if (Jackson is an angel)) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"not\", [\"lying\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]], [\"not\", [\"lying\", 7]]]], [\"telling-truth\", 5], [\"or\", [\"<=>\", [\"<=>\",...
{"split": "train", "index": 13438}
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, Emily, Liam, Elizabeth, Charlotte, Luke, Sofia, Noah, and Amelia. According to Logan, \"((Emily is an angel if and only if Logan is an angel) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 2]], [\"lying\", 2...
{"split": "train", "index": 13439}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, Sophia, Owen, Aria, Zoey, Emma, Samuel, Chloe, and Abigail. \"(Emma is an angel and (Chloe is an angel if and only if Samuel is a devil)) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 2]], [\"lying\", 5]]], [\"->\", [\"and\", [\"<=>\", [...
{"split": "train", "index": 13440}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Victoria, Ava, Sofia, Zoey, Ella, Charlotte, Emily, Jacob, and Jackson. According to Victoria, \"(Ella is an angel or (Charlotte is an angel if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"lying\", 8]], [\"lying\", 2], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 0]]]...
{"split": "train", "index": 13441}
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, Avery, Logan, Harper, Riley, Mia, Oliver, Aria, and Grace. Victoria stated, \"((Avery is an egoist and Grace is an altruist) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 8]], [\"telling-truth\", 0]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"...
{"split": "train", "index": 13442}
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: Noah, Henry, Harper, William, Aurora, Matthew, Mason, Elizabeth, and Amelia. \"((Amelia is a fool or Elizabeth is a sage) if and only if (Mason is a fool i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"telling-truth\", 8]], [\"<=>\", [\"or\", [\"lying\", 5], [\"or\", [\"lying\", 8...
{"split": "train", "index": 13443}
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, Riley, William, Ella, Lucas, Scarlett, Charlotte, Daniel, and Liam. Alexander noted, \"Liam is a sage\". \"((Lucas is a fool or Daniel is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [...
{"split": "train", "index": 13444}
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: Grace, Chloe, Lily, Ethan, Jacob, Aiden, Olivia, Sofia, and Samuel. As Grace put it, \"(Sofia is a hero and Ethan is a hero) if and only if ((Jacob i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]]]], [\"telling-truth...
{"split": "train", "index": 13445}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Amelia, Grace, Daniel, Logan, Harper, Penelope, Lucas, William, and Lily. In a statement by Amelia: \"Lucas is a hero\". \"((if Daniel is a villain t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 6]], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"telling-truth\", 6]]],...
{"split": "train", "index": 13446}
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, Emily, Lucas, Mason, Daniel, Amelia, Michael, James, and Aria. In a statement by Olivia: \"((Emily is a pioneer) and (Emily is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"lying\", 1]]]], [\"and\", [\"not\...
{"split": "train", "index": 13447}
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, Joseph, David, Lily, Mia, Riley, Emma, Chloe, and Samuel. Oliver was heard saying, \"it is not the case that ((Chloe is a devil if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 8]]]], [\"or\", [\"lying\", 5], [\"telling-truth\", 8]], [\"or\", [\"or\", [\"->\", [\"lying\", ...
{"split": "train", "index": 13448}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sophia, Abigail, Sofia, Lucas, Liam, Harper, Jackson, Noah, and Samuel. \"Abigail is a laggard,\" Sophia mentioned. \"(Sofia is a laggard and L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 4], [\"and\", [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"not\", [\"telling-truth...
{"split": "train", "index": 13449}
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, Logan, Oliver, Charlotte, Ella, Sebastian, Emma, Grace, and James. Jackson noted, \"(James is a fool if and only if (Charlotte is a sage)) and ((C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 8], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"and\", [\"lying\", 6], [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"and\",...
{"split": "train", "index": 13450}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sebastian, Riley, Aria, Chloe, Jackson, James, Daniel, Emma, and Avery. As Sebastian put it, \"Avery is a villain or ((Riley is a villain) and (Chloe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"or\", [\"lying\", 8], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 6], [\"l...
{"split": "train", "index": 13451}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, David, Penelope, Abigail, Oliver, Owen, Luke, Jackson, and Liam. According to Evelyn, \"(it is not the case that (Oliver is a devil and Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]]]], [\"and\", [\"...
{"split": "train", "index": 13452}
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: Matthew, James, Lily, Noah, Benjamin, Victoria, Lucas, Sebastian, and Amelia. Matthew noted, \"it is not the case that (if (Victoria is a lagga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]]], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [...
{"split": "train", "index": 13453}
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: Emily, Avery, Noah, Mia, Mason, Benjamin, David, Zoey, and Jackson. As Emily put it, \"((Mason is a pioneer if and only if Jackson is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]]]], [\"or\", [\"->\", [...
{"split": "train", "index": 13454}
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, Emily, David, Emma, Sophia, Luke, Chloe, Henry, and Victoria. Jack stated, \"((David is a sage and David is a fool) or (Emily is a sage and Emily is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 7]], [\"<=>\", [\"lying\", 8], [\"te...
{"split": "train", "index": 13455}
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: Sophia, Michael, Lucas, Isabella, David, Amelia, Zoey, Emma, and Matthew. Sophia remarked, \"Isabella is an altruist\". Michael commented, \"((...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"<=>\", [\...
{"split": "train", "index": 13456}
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, Amelia, Daniel, Scarlett, Mason, Sebastian, Avery, Logan, and Zoey. Abigail stated, \"(Zoey is a fool or (Scarlett is a fool or Amelia is a fool))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]]]], [\"not\", [\"a...
{"split": "train", "index": 13457}
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: Lily, Scarlett, Ethan, Mason, Emily, David, Jacob, Zoey, and Sebastian. Lily was heard saying, \"if ((Ethan is an egoist or Mason is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"not\", [\"telling-...
{"split": "train", "index": 13458}
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, Emily, Zoey, Sebastian, Harper, Michael, Jacob, Emma, and Alexander. \"((if Emma is a devil then Zoey is an angel) and (Lucas is an angel if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]]]], [\"not\", [\"telling...
{"split": "train", "index": 13459}
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: Evelyn, Ethan, Abigail, Charlotte, Liam, Henry, Samuel, William, and Owen. According to Evelyn, \"((if Charlotte is a laggard then Samuel is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"not\", [\"and\", [\"lying\", 4],...
{"split": "train", "index": 13460}
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, Alexander, William, Logan, Amelia, Aurora, Abigail, Ava, and Victoria. Elizabeth expressed that ((Abigail is a saint or Elizabeth is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"lying\", 4]], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"no...
{"split": "train", "index": 13461}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, Aurora, Owen, Oliver, Penelope, Jack, Abigail, Jackson, and Samuel. As Emma put it, \"Jack is a pioneer\". Aurora said that (if (Owen is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"not\", [\"lying\", 5]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"lying\", 2]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-tru...
{"split": "train", "index": 13462}
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, Charlotte, Scarlett, Noah, Chloe, Benjamin, Emma, Jackson, and Zoey. \"((Zoey is a sinner or Jackson is a sinner) if and only if (Jackson is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"not\", [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"lying\",...
{"split": "train", "index": 13463}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Luke, Matthew, Alexander, Emma, Elizabeth, Amelia, James, William, and Samuel. As Luke put it, \"((if Amelia is a knight then James is a knave) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"and\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"and\", [\...
{"split": "train", "index": 13464}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Amelia, Ethan, Zoey, Alexander, Jacob, Harper, Avery, Charlotte, and Lucas. \"if Avery is a fool then (Charlotte is a sage if and only if (Avery is a fool ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"->\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 7], [\"or\", [\"lying\", 6], [\"lying\", 4]]]], [\"or\", [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 2]], [\"not\", [\"lying\", 6]]], [\"telling-t...
{"split": "train", "index": 13465}
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: Riley, Samuel, Oliver, Penelope, Elizabeth, Ava, Emma, Aurora, and Alexander. Riley asserted: \"if ((if Samuel is a knight then Penelope is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 132, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]]]], [\"telling-truth\", 4],...
{"split": "train", "index": 13466}
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: Liam, Luke, Noah, Ethan, Emma, Isabella, Matthew, Charlotte, and Mason. Liam expressed that Noah is a saint. Luke expressed that Mason is a sinner or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 133, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"lying\", 8], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"ly...
{"split": "train", "index": 13467}
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: Emily, Owen, Emma, Jackson, Isabella, Henry, Avery, Victoria, and Evelyn. As Emily put it, \"(it is not the case that (Jackson is a saint or Henry is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 134, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 8], [\"lying\", 1]]]], [\"->\", [\"and\", [\"or\", [...
{"split": "train", "index": 13468}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Chloe, Lily, Liam, Michael, Avery, Aria, Sophia, William, and Aiden. Chloe stated, \"(it is not the case that (Lily is an egoist)) and (if (Mic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 135, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"or\", [\"lying\", 2], [\"lying...
{"split": "train", "index": 13469}
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: Aria, David, Ella, James, Ethan, Charlotte, Luke, William, and Evelyn. Aria said, \"if (if (James is an altruist or James is an egoist) then Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 136, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 6]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"and\", [\"<=>\", [\"lying...
{"split": "train", "index": 13470}
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: Matthew, Daniel, Joseph, Jacob, Amelia, Chloe, David, Avery, and Abigail. Matthew noted, \"if ((Chloe is a villain and Avery is a hero) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 137, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", ...
{"split": "train", "index": 13471}
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: Aria, Liam, Jacob, Jack, Abigail, Evelyn, Alexander, Sophia, and Charlotte. In Aria's words: \"Charlotte is a pioneer or (if (Charlotte is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 138, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 7]], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"tell...
{"split": "train", "index": 13472}
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: Harper, Joseph, David, Logan, Lily, Amelia, Jacob, Samuel, and Emily. In a statement by Harper: \"(if (Amelia is a pioneer or Joseph is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 139, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 5]], [\"lying\", 1]]], [\"->\", [\"not\", [\"not\", [\"lying\", 8]]]...
{"split": "train", "index": 13473}
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: Mia, Grace, Daniel, Luke, Joseph, Emma, Penelope, Zoey, and Victoria. Mia remarked, \"((if Luke is a saint then Penelope is a sinner) and (if Emma is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 140, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"->\", [\"lying\", 5], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-tru...
{"split": "train", "index": 13474}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Joseph, Liam, Oliver, Abigail, Sofia, Owen, Matthew, Isabella, and Jack. Joseph commented, \"Oliver is a devil if and only if Abigail is an angel\". In...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 141, \"statements\": [[\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 2], [\"telling-truth\", 6], [\"telling-truth\", 8], [\"not\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]]]], [\"<=>\", [\"and...
{"split": "train", "index": 13475}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Penelope, Sophia, Amelia, Noah, Mason, Lily, Benjamin, Jacob, and Abigail. Penelope stated, \"(if (Amelia is a sage or Benjamin is a fool) then (Benjamin i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 142, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"lying\", 8]...
{"split": "train", "index": 13476}
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, Aiden, Oliver, James, Jack, Mia, Noah, Michael, and Sebastian. In a statement by Ethan: \"if (if Jack is an altruist then (Oliver is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 143, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"telling-truth\", 2], [...
{"split": "train", "index": 13477}
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, Luke, Scarlett, Charlotte, Oliver, Jacob, Owen, Liam, and Michael. \"((Daniel is a sage and Liam is a sage) and (Oliver is a sage or Oliver is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 144, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 7], [\"telli...
{"split": "train", "index": 13478}
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: Elizabeth, Logan, Owen, Olivia, Emily, Harper, Riley, Benjamin, and Aurora. \"if ((Emily is an altruist and Riley is an altruist) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 145, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]]...
{"split": "train", "index": 13479}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Elizabeth, Liam, James, Aria, David, Oliver, Owen, Chloe, and Ava. As Elizabeth put it, \"Aria is a fool\". Liam said that (if Elizabeth is a sage then (Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"lying\", 3], [\"and\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"lying\", 6]]]], [\"and\", [\"->\", [\"...
{"split": "train", "index": 13480}
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, Avery, Noah, Aria, Riley, Daniel, Sophia, Scarlett, and Jack. \"((Daniel is a hero and Sophia is a villain) and (Riley is a villain if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 147, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 7]]]], [\"or\", [\"and\", [\"and\",...
{"split": "train", "index": 13481}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Amelia, Logan, Sebastian, Victoria, Noah, Emily, Ethan, Mia, and Luke. Amelia told you that Luke is a hero if and only if (it is not the case that (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"not\", [\"not\", [\"telling-truth\", 5]]]], [\"and\", [\"lying\", 8], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]]]], [\"<=>\", [\"<=>\", [\"->\", [\"ly...
{"split": "train", "index": 13482}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Harper, Amelia, Zoey, Scarlett, Lucas, Matthew, Aiden, Alexander, and Evelyn. Harper told you that Amelia is an angel. Amelia commented, \"Lucas is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"telling-truth\", 1], [\"lying\", 4], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"telling-truth\", 2]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-trut...
{"split": "train", "index": 13483}
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, Jacob, William, Benjamin, Ethan, Grace, Michael, Sophia, and Scarlett. Joseph commented, \"it is not the case that ((Benjamin is a sage or Scarlett...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 150, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]]]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-tru...
{"split": "train", "index": 13484}
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: Logan, Jackson, Sebastian, Riley, Luke, Oliver, Lucas, Grace, and Olivia. \"if (it is not the case that (Oliver is a knave and Luke is a knave)) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 151, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"lying\", 1]]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-t...
{"split": "train", "index": 13485}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Mia, Avery, Aurora, Owen, David, Henry, Sofia, and Ella. Ava told you that it is not the case that ((if Ella is a fool then Mia is a fool) and (Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 152, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"->\", [\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-t...
{"split": "train", "index": 13486}
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: Aurora, Joseph, Charlotte, William, Zoey, Ava, Avery, Logan, and Luke. Aurora remarked, \"(if (Logan is a sinner) then Ava is a sinner) or (it is not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 153, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"lying\", 5]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 7]]]], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"<=>\", [\...
{"split": "train", "index": 13487}
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: Emma, Noah, Luke, Amelia, Elizabeth, Grace, Daniel, Aiden, and Mason. In a statement by Emma: \"it is not the case that (it is not the case that (Luk...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 154, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"lying\", 1...
{"split": "train", "index": 13488}
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: Noah, James, Elizabeth, Avery, Ava, Lily, Jack, Mason, and Sofia. According to Noah, \"Lily is a knight\". In a statement by James: \"if ((Mason is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 155, \"statements\": [[\"not\", [\"lying\", 5]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-tr...
{"split": "train", "index": 13489}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Luke, Aurora, Daniel, Avery, Abigail, Aiden, Matthew, Lily, and Scarlett. \"if (it is not the case that (Lily is a knave or Matthew is a knight)) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 156, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 8], [\"...
{"split": "train", "index": 13490}
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: Aiden, Mason, Aria, Penelope, Isabella, Mia, Evelyn, Elizabeth, and Benjamin. \"(it is not the case that (Penelope is a sinner if and only if Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 157, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5]], [\"lying\", 7]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 5], [\"lying\",...
{"split": "train", "index": 13491}
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, James, Jacob, Chloe, Ethan, Elizabeth, Isabella, Logan, and Evelyn. In a statement by Benjamin: \"Logan is a sinner\". James commented, \"E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 158, \"statements\": [[\"lying\", 7], [\"not\", [\"lying\", 8]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"not\", [\"lying\", 5]]]], [\...
{"split": "train", "index": 13492}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Liam, Alexander, Noah, Luke, Avery, Matthew, Harper, Lily, and Emma. Liam asserted: \"if Matthew is a fool then Alexander is a sage\". As Alexander put it,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 159, \"statements\": [[\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"lying\", 4], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\",...
{"split": "train", "index": 13493}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Penelope, Zoey, Lucas, Oliver, Jacob, Scarlett, Evelyn, and Lily. Mason asserted: \"(it is not the case that (Lucas is a villain or Jacob is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 160, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 8]]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"lyi...
{"split": "train", "index": 13494}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Harper, Mason, Emily, Sebastian, Sophia, Olivia, Mia, Penelope, and Abigail. \"Olivia is an angel,\" Harper claimed. Mason was heard saying, \"Sophia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 161, \"statements\": [[\"telling-truth\", 5], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 5], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"->\", ...
{"split": "train", "index": 13495}
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, Sofia, Aurora, Aria, Amelia, Matthew, Daniel, Avery, and Noah. \"Avery is a devil and (it is not the case that (Sofia is an angel if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 162, \"statements\": [[\"and\", [\"lying\", 7], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"or\", [\"telling-truth\", 5], [\"telling-tr...
{"split": "train", "index": 13496}
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: Ella, Ava, Aiden, Owen, Mason, Elizabeth, Grace, Noah, and Henry. According to Ella, \"Owen is an egoist and Ava is an altruist\". Ava told you...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 163, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]], [\"not\", [\"lying\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6]...
{"split": "train", "index": 13497}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Michael, Liam, Lucas, Matthew, Sophia, Jackson, Noah, Elizabeth, and Isabella. \"if ((Sophia is a sage and Noah is a sage) or (Noah is a sage if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 164, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"<=>\", [\"lying\", 2], [\"and\", [\"lying\", 6], [\"lying\", 3]]]], [\"<...
{"split": "train", "index": 13498}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Grace, Oliver, Emily, Ethan, Luke, Daniel, Avery, Noah, and Michael. Grace expressed that if (if Emily is an altruist then (Michael is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 165, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"telling-truth\", 7]], [\"and\", [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0]...
{"split": "train", "index": 13499}