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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, James, David, Sophia, Jackson, Emily, Jack, Grace, and Emma. As Amelia put it, \"Emma is an angel or Emma is a devil\". In James's words: \"(Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1232, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5]], [\"or\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"telling-truth\", 8], [\"lying\", 7], [\...
{"split": "train", "index": 7900}
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: Samuel, Mason, Isabella, Elizabeth, Emma, Ella, Michael, Sophia, and Luke. Samuel said, \"(if Sophia is an altruist then Emma is an egoist) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1233, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"lying\", 2]], [\"or\"...
{"split": "train", "index": 7901}
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, Jackson, Riley, Victoria, Abigail, Matthew, David, Henry, and Ava. Sebastian asserted: \"(Henry is a knight and Sebastian is a knight) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1234, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"->\", [\"lying\", 6], [\"->\", [\"lying\", 0], [\"lying\", 2]]], [\"and\", [\"<...
{"split": "train", "index": 7902}
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, Samuel, Elizabeth, Lucas, Emily, Charlotte, Emma, Aiden, and Scarlett. \"(Emma is a laggard or Scarlett is a pioneer) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1235, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 7]], [\"not\", [\"lying\", 0]]], [\"not\", ...
{"split": "train", "index": 7903}
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: Sofia, Owen, Riley, Mia, Lucas, Daniel, Elizabeth, William, and Jackson. Sofia remarked, \"Jackson is an egoist if and only if Riley is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1236, \"statements\": [[\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"and\", [\"lying\", 6], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 5]], [\"->\", [\"not\", [\"lying\", 5]], [\"n...
{"split": "train", "index": 7904}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Luke, Scarlett, Aiden, Samuel, Daniel, Emily, Lily, Harper, and Oliver. In Luke's words: \"(Emily is a devil) and Harper is an angel\". \"if Daniel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1237, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 7]], [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8]], [\"and\", [\"lying\", 3], [\"te...
{"split": "train", "index": 7905}
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: Matthew, Lily, Aiden, Elizabeth, Ella, Charlotte, Liam, Evelyn, and Mason. Matthew said that (Mason is a knave) if and only if (if Charlotte is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1238, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"...
{"split": "train", "index": 7906}
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, Emma, Daniel, Alexander, Aria, Aiden, Emily, Charlotte, and Elizabeth. \"(Emily is a villain or Aiden is a hero) or (Daniel is a villain or Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1239, \"statements\": [[\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 5]], [\"or\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"<=>\", [\"tell...
{"split": "train", "index": 7907}
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: Mia, Sofia, Avery, Amelia, Logan, Zoey, Michael, Liam, and Olivia. Mia told you that (Olivia is a sage and Sofia is a sage) if and only if (if Liam is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1240, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-tru...
{"split": "train", "index": 7908}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Samuel, Michael, Aiden, Amelia, Grace, Oliver, Sophia, Riley, and Liam. In Samuel's words: \"it is not the case that (if Grace is a knight then Liam ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1241, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 1], [\"telling-...
{"split": "train", "index": 7909}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Isabella, Lucas, Charlotte, Ella, Lily, Liam, Benjamin, David, and Henry. As Isabella put it, \"if (David is a fool if and only if Henry is a sage) then (D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1242, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\...
{"split": "train", "index": 7910}
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: Olivia, Liam, Harper, William, Emily, Joseph, David, Aria, and Emma. \"Liam is a knave,\" Olivia claimed. In Liam's words: \"(if Aria is a knave then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1243, \"statements\": [[\"lying\", 1], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"lying\...
{"split": "train", "index": 7911}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Luke, Ella, Mason, Samuel, Avery, Harper, Ethan, Owen, and Henry. In Luke's words: \"(Ella is a sinner or Owen is a sinner) or (Avery is a sinner)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1244, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"lying\", 0], [\"lying\", 7]]], [\"or\", [\"...
{"split": "train", "index": 7912}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lucas, Sophia, Harper, Mia, David, Evelyn, Alexander, Zoey, and Emily. \"if (if Alexander is a villain then Evelyn is a villain) then (Emily is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1245, \"statements\": [[\"->\", [\"->\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], ...
{"split": "train", "index": 7913}
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, Henry, Aria, Mason, Noah, Oliver, Joseph, Mia, and Harper. Elizabeth said, \"it is not the case that (if Henry is a laggard then Jos...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1246, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"telling-truth\", 7], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 0]], [\"<=...
{"split": "train", "index": 7914}
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, Scarlett, Daniel, Luke, Ella, James, Isabella, Penelope, and Elizabeth. Emily told you that it is not the case that (Luke is a saint). In Scar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1247, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\...
{"split": "train", "index": 7915}
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: Ethan, Ava, Oliver, Sophia, Charlotte, Noah, Avery, Daniel, and Harper. \"(Sophia is an angel and Sophia is a devil) or (Sophia is an angel or Noah is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1248, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"<=>\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"<...
{"split": "train", "index": 7916}
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, Michael, Abigail, Matthew, Zoey, Lucas, Chloe, Lily, and Sophia. Jackson remarked, \"if (Sophia is an egoist and Michael is an egoist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1249, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"lying\", 1]], [\"and\", [\"lying\", 6], [\"lying\", 8]]], [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"->\", [\"and\", [...
{"split": "train", "index": 7917}
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: James, Elizabeth, Emily, Joseph, Harper, David, Liam, Matthew, and Sophia. James was heard saying, \"if Joseph is a pioneer then (if Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1250, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 5], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 6]]], [\"lying\", 6], [\"and\", [\"->\", [\"telling-tru...
{"split": "train", "index": 7918}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, Oliver, Aiden, Avery, Charlotte, James, Victoria, Sophia, and Benjamin. Luke noted, \"if (if Aiden is a pioneer then Luke is a pioneer) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1251, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 7], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 8]], [\"and\"...
{"split": "train", "index": 7919}
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: Ethan, Abigail, Penelope, Ava, Charlotte, Victoria, Oliver, Lily, and Isabella. Ethan expressed that Penelope is a sage or (if Penelope is a sage then Char...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1252, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"lying\", 8]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"t...
{"split": "train", "index": 7920}
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, Scarlett, Sebastian, Zoey, Sofia, Aria, Charlotte, James, and Jack. \"Charlotte is a saint and (if Scarlett is a sinner then Charlotte is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1253, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"->\", [\"lying\", 1], [\"lying\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 4], [\"and\", [\"o...
{"split": "train", "index": 7921}
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, David, Amelia, Henry, Scarlett, Luke, Olivia, Aiden, and Lucas. Riley said, \"(Scarlett is a knave and Henry is a knave) or (Olivia is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1254, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"telling-truth\", 0]], [\"an...
{"split": "train", "index": 7922}
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, Mia, Henry, Penelope, Daniel, Joseph, Matthew, Mason, and Grace. Abigail was heard saying, \"if Henry is a sinner then Henry is a saint\". \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1255, \"statements\": [[\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telli...
{"split": "train", "index": 7923}
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, Lily, Emily, Emma, Olivia, Jack, Avery, Ava, and Mason. According to Owen, \"Olivia is a villain\". Lily expressed that if (Jack is a villain o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1256, \"statements\": [[\"lying\", 4], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5]], [\"not\", [\"lying\", 0]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 7924}
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, Olivia, Grace, Emma, Aiden, Charlotte, Amelia, Alexander, and Isabella. Daniel remarked, \"Daniel is a pioneer\". In Olivia's words: \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1257, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"tel...
{"split": "train", "index": 7925}
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, Chloe, Olivia, Aurora, Grace, Sofia, Evelyn, and Jacob. Jack commented, \"if (Aurora is a sage) then (Aurora is a sage and Grace is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1258, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"lying\", 8], [\"telling-truth\", 1]...
{"split": "train", "index": 7926}
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, Daniel, Zoey, Evelyn, Sophia, Elizabeth, Harper, Aiden, and Samuel. \"it is not the case that (Sophia is an altruist if and only if Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1259, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\...
{"split": "train", "index": 7927}
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: Oliver, Chloe, Emma, Sebastian, Charlotte, Mia, Benjamin, Emily, and Jackson. \"Sebastian is a pioneer and (if Jackson is a laggard then Emily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1260, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"not\", [\"te...
{"split": "train", "index": 7928}
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, James, Amelia, William, Jacob, Sebastian, Charlotte, Olivia, and Benjamin. \"(Olivia is a saint or Jacob is a sinner) or (if Olivia is a saint t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1261, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"and\", [\"not\", [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 1], [\"n...
{"split": "train", "index": 7929}
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, David, Matthew, Joseph, Olivia, Ethan, Jackson, Sofia, and Alexander. \"(Joseph is an angel) if and only if (if David is a devil then Jackson is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1262, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [...
{"split": "train", "index": 7930}
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, Harper, Alexander, Charlotte, William, Aurora, Jackson, Jack, and Ava. In Noah's words: \"if (Jack is a knave) then (if Aurora is a knave then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1263, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 8]]], [\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"lying\", 2], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 0], [\"l...
{"split": "train", "index": 7931}
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: Mia, Lily, Ethan, Luke, Daniel, Aurora, Victoria, Sofia, and Emily. \"Ethan is a fool,\" Mia mentioned. Lily said that it is not the case that (if Sofia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1264, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"lying\", 0]], [\"not\", [\"or\", [\"telling-truth\"...
{"split": "train", "index": 7932}
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: Scarlett, Aria, Liam, Amelia, Penelope, Emily, Jacob, Luke, and Ethan. In a statement by Scarlett: \"it is not the case that (Ethan is a knave and Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1265, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 8]], [\"telling-truth\", 6]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 6]], [\"<=>\", [...
{"split": "train", "index": 7933}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mason, Isabella, Riley, Michael, Alexander, Owen, Oliver, Emily, and Luke. Mason was heard saying, \"Emily is a knight or (Owen is a knave or Riley i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1266, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"or\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]], [\"or\", [\"lying\", 5], [\"lying\", 0]]], [\"or\", [\"not\...
{"split": "train", "index": 7934}
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: Mason, Abigail, Elizabeth, Noah, Harper, Grace, Sebastian, Jacob, and Jack. Mason was heard saying, \"it is not the case that (Noah is a sage or Harper is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1267, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"lying\", 8], [\"<=>\", [\"n...
{"split": "train", "index": 7935}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Penelope, Benjamin, Victoria, Lucas, Henry, Ella, Chloe, Olivia, and Scarlett. Penelope said, \"(Henry is a devil or Scarlett is a devil) and (Victoria...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1268, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"or\",...
{"split": "train", "index": 7936}
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, Henry, Lily, Chloe, Evelyn, Daniel, David, Joseph, and Avery. Elizabeth stated, \"(Daniel is a pioneer and Daniel is a laggard) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1269, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 7]], [\"telling-truth\", 2]], [\"not\...
{"split": "train", "index": 7937}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mason, Ethan, Luke, Scarlett, Benjamin, William, Ella, Emily, and Sofia. As Mason put it, \"William is a knave\". In a statement by Ethan: \"(Benjami...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1270, \"statements\": [[\"lying\", 5], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"te...
{"split": "train", "index": 7938}
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: Aurora, Ava, Chloe, Michael, Elizabeth, Amelia, Logan, Ella, and Sebastian. Aurora expressed that (Logan is a laggard and Ella is a pioneer) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1271, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7]], [\"telling-truth\", 6]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 8...
{"split": "train", "index": 7939}
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, Michael, Luke, Aurora, Matthew, Henry, Riley, Lucas, and William. \"(Henry is a pioneer and Matthew is a pioneer) if and only if (Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1272, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"l...
{"split": "train", "index": 7940}
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: Aurora, Ella, Logan, Sofia, Scarlett, Lucas, Matthew, David, and Emma. Aurora asserted: \"Sofia is an angel\". According to Ella, \"(Matthew is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1273, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"...
{"split": "train", "index": 7941}
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: James, Elizabeth, Lucas, Sebastian, David, Jackson, Logan, Aurora, and Lily. According to James, \"it is not the case that (Lucas is a hero if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1274, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-...
{"split": "train", "index": 7942}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Scarlett, Sofia, Mason, Michael, Aria, James, Jackson, Owen, and Ella. Scarlett remarked, \"(Jackson is an altruist and Mason is an altruist) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1275, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"lying\", 0...
{"split": "train", "index": 7943}
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: Zoey, Grace, Evelyn, Sofia, Daniel, Emily, Noah, Chloe, and Amelia. As Zoey put it, \"it is not the case that (Grace is an angel or Chloe is a devil)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1276, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\...
{"split": "train", "index": 7944}
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, Olivia, Daniel, Sofia, Liam, Charlotte, Harper, David, and Emily. Grace expressed that Olivia is a sage or (Charlotte is a sage or Emily is a sage)....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1277, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"lying\", 7]]], [\"not\", [\"<=>\", [\"telling-...
{"split": "train", "index": 7945}
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, Logan, Ethan, Zoey, Aiden, Mason, Liam, Jackson, and Evelyn. Matthew said that it is not the case that (Aiden is a saint and Mason is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1278, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"lying\", 0], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"or\", [\"lying\", 8], [\"or\", [\"telling-truth\", 6], [...
{"split": "train", "index": 7946}
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, Zoey, James, Luke, Mason, Lucas, Sebastian, Daniel, and William. Michael told you that (Zoey is a saint if and only if Daniel is a sinner) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1279, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [...
{"split": "train", "index": 7947}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Samuel, Jack, Emily, Daniel, Benjamin, Scarlett, Alexander, Liam, and Evelyn. Samuel expressed that (Evelyn is a fool if and only if Jack is a fool) and Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1280, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 1]], [\"lying\", 7]], [\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 7]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"-...
{"split": "train", "index": 7948}
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, Ella, Ava, Jack, Lily, Elizabeth, Henry, Luke, and Sofia. In a statement by William: \"Elizabeth is a villain or (if Jack is a hero then Ell...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1281, \"statements\": [[\"or\", [\"lying\", 5], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"->\"...
{"split": "train", "index": 7949}
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: Chloe, Sophia, Grace, Mia, Penelope, Samuel, Mason, Liam, and Evelyn. Chloe stated, \"(Liam is a fool or Samuel is a sage) or (Grace is a sage and Sophia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1282, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"and\", [\"lying\...
{"split": "train", "index": 7950}
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, Sofia, Evelyn, William, Aurora, Abigail, Matthew, Lily, and Samuel. \"it is not the case that (if Matthew is a pioneer then Abigail is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1283, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"->\", ...
{"split": "train", "index": 7951}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Isabella, Amelia, Zoey, Chloe, Jackson, Matthew, Emma, Oliver, and Abigail. In Isabella's words: \"if (if Chloe is a sage then Oliver is a fool) then (Zoey...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1284, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"lying\", 2], [\"lying\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\",...
{"split": "train", "index": 7952}
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, Owen, Isabella, Zoey, Ethan, Oliver, Mia, Amelia, and Abigail. Lucas was heard saying, \"it is not the case that (Ethan is an altruist o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1285, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", ...
{"split": "train", "index": 7953}
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: Riley, Benjamin, Samuel, Avery, Isabella, Joseph, Oliver, Sebastian, and Aria. Riley remarked, \"it is not the case that (Oliver is a pioneer a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1286, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"lying\", 8], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\",...
{"split": "train", "index": 7954}
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, Elizabeth, Henry, Riley, Luke, Benjamin, Matthew, Aiden, and Emma. Emily was heard saying, \"if (Luke is a saint if and only if Matthew is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1287, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lyin...
{"split": "train", "index": 7955}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Mia, Sebastian, Lily, Penelope, Riley, Jackson, Aiden, and Sofia. \"Mia is a hero,\" Emma declared. Mia remarked, \"(Sofia is a hero if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1288, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"tel...
{"split": "train", "index": 7956}
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, Emily, Zoey, Alexander, Charlotte, Sophia, Liam, Amelia, and David. As Ella put it, \"if (Sophia is a laggard and Charlotte is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1289, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7], [\"tell...
{"split": "train", "index": 7957}
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: Abigail, Penelope, Logan, Aiden, Elizabeth, Ava, Amelia, Michael, and Avery. As Abigail put it, \"if Elizabeth is an angel then (Amelia is an angel)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1290, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"not\", [\"lying\", 6]]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"no...
{"split": "train", "index": 7958}
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, Mason, Matthew, Evelyn, Olivia, Scarlett, Grace, Isabella, and Logan. Joseph told you that (if Mason is a hero then Matthew is a villain) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1291, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 7], [\"telling-trut...
{"split": "train", "index": 7959}
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: Sofia, Chloe, Logan, Jackson, Ava, Emily, Avery, Samuel, and Luke. As Sofia put it, \"Luke is a knight\". Chloe commented, \"Samuel is a knight\". As...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1292, \"statements\": [[\"telling-truth\", 8], [\"telling-truth\", 7], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying...
{"split": "train", "index": 7960}
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, Riley, David, Matthew, Emma, Isabella, Samuel, Sebastian, and Noah. Ella stated, \"(Riley is an egoist if and only if Noah is an egoist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1293, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 6], [\"telling-tr...
{"split": "train", "index": 7961}
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: Elizabeth, Ethan, Matthew, Samuel, Oliver, Owen, Evelyn, Riley, and Sophia. \"Elizabeth is a hero and (Owen is a hero and Owen is a villain),\" Eliza...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1294, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"lying\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"lying\", 8]], [\"<=>\", [\"<=>\", [\"l...
{"split": "train", "index": 7962}
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: Elizabeth, Jacob, Ella, David, Benjamin, Oliver, Victoria, Avery, and Zoey. \"if (Oliver is a hero and Jacob is a villain) then (if Benjamin is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1295, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-t...
{"split": "train", "index": 7963}
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: Evelyn, Noah, Mia, Emily, Daniel, Charlotte, Victoria, Luke, and Michael. Evelyn stated, \"(Victoria is a sinner if and only if Noah is a saint) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1296, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 7964}
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, Sophia, Ethan, Benjamin, James, Mason, Daniel, Logan, and Aiden. Matthew said that (Benjamin is a villain or Aiden is a hero) and (Matthew i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1297, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"telling-truth\", 7], [\"->\", [\"no...
{"split": "train", "index": 7965}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emily, Henry, Evelyn, Ava, Olivia, Ella, Charlotte, Joseph, and Mason. Emily expressed that (Charlotte is a hero or Emily is a hero) and (Evelyn is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1298, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 6]], [\"or\", [\"telling-tr...
{"split": "train", "index": 7966}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Riley, Penelope, Jack, Abigail, Henry, Michael, Olivia, Logan, and Liam. Riley was heard saying, \"(Riley is a saint and Abigail is a saint) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1299, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 8]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"or...
{"split": "train", "index": 7967}
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: Owen, William, Scarlett, Michael, Ethan, Sofia, Mason, Aiden, and Aria. In Owen's words: \"if (Aria is a laggard or Michael is a pioneer) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1300, \"statements\": [[\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 8], [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 0]], [\"lying\", 7]], [\"and\", [\"<=>\", [\"...
{"split": "train", "index": 7968}
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: Owen, Emma, Isabella, Aurora, Chloe, Noah, Mia, Avery, and Henry. Owen told you that (Henry is a pioneer and Aurora is a pioneer) or (Owen is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1301, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"lying\", 2], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"t...
{"split": "train", "index": 7969}
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, Matthew, Mason, Daniel, Aiden, Jackson, Sofia, Benjamin, and Amelia. Abigail commented, \"Aiden is a sinner\". \"Sofia is a sinner,\" Matthe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1302, \"statements\": [[\"lying\", 4], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 2], [\"lyin...
{"split": "train", "index": 7970}
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, Luke, Grace, Evelyn, Henry, Sofia, David, Ava, and Jacob. Olivia stated, \"Ava is a pioneer\". Luke remarked, \"if (if Jacob is a lagga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1303, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"lying\", 6], [\"->\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-tru...
{"split": "train", "index": 7971}
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: Ethan, Ava, Jackson, Evelyn, Alexander, Avery, Logan, Liam, and Lily. \"(if Liam is an angel then Alexander is a devil) or (if Ava is an angel then Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1304, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"not\", ...
{"split": "train", "index": 7972}
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: Oliver, Mia, Elizabeth, Avery, Sebastian, Liam, Abigail, Sophia, and Aiden. \"(Avery is a sage and Liam is a sage) or (Avery is a fool or Abigail is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1305, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"or\", [\"lying\", 3], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-trut...
{"split": "train", "index": 7973}
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: Penelope, Jacob, William, Evelyn, Mason, Michael, Victoria, Chloe, and David. Penelope asserted: \"William is a sinner\". Jacob expressed that (Jacob...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1306, \"statements\": [[\"lying\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"not\", [\"lying\", 1]], [\"lying\", 0], [\"or\", [\"or\", [\"te...
{"split": "train", "index": 7974}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lucas, Lily, Elizabeth, Isabella, Chloe, Penelope, Aiden, Zoey, and Abigail. Lucas commented, \"(Isabella is a villain or Zoey is a hero) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1307, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 8]]], [\"or\", [\"and\", [\"telli...
{"split": "train", "index": 7975}
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: Liam, Riley, Avery, Sebastian, Sophia, David, Ava, Chloe, and Scarlett. In Liam's words: \"Sebastian is a villain\". Riley expressed that (Scarlett i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1308, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"lyi...
{"split": "train", "index": 7976}
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, Daniel, Mia, Jacob, Evelyn, Jack, Riley, Joseph, and Alexander. According to Matthew, \"(if Jacob is a saint then Mia is a saint) and (Danie...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1309, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"...
{"split": "train", "index": 7977}
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: Michael, Sophia, Alexander, Mia, Chloe, Lucas, Ella, Ava, and Owen. \"(Lucas is a hero and Mia is a hero) if and only if (Alexander is a hero),\" Mic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"lying\", 8], [\"<=>\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", ...
{"split": "train", "index": 7978}
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, Charlotte, Mia, Elizabeth, Emily, Jackson, Olivia, Luke, and Amelia. Noah noted, \"Mia is a sage if and only if (if Noah is a sage then Mia is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"<=>\...
{"split": "train", "index": 7979}
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, Owen, Logan, Harper, Aiden, Abigail, Mason, Zoey, and Emma. Michael stated, \"Abigail is a saint and (Abigail is a sinner and Owen is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"and\", [\"lying\", 5], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling...
{"split": "train", "index": 7980}
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, Ava, Aiden, Liam, Olivia, Logan, Grace, Harper, and Noah. Henry was heard saying, \"it is not the case that (Henry is a sage and Olivia is a fool)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"...
{"split": "train", "index": 7981}
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: Isabella, Benjamin, Jacob, Liam, Luke, Mason, Alexander, Olivia, and Sebastian. Isabella remarked, \"if (Sebastian is a knight or Olivia is a knight)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-truth\"...
{"split": "train", "index": 7982}
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, Grace, Logan, Luke, Chloe, Sophia, Jacob, Owen, and Mason. \"(Chloe is an angel and Luke is a devil) if and only if (Chloe is an angel if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"or\", [\"telling-t...
{"split": "train", "index": 7983}
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: Lucas, Aurora, Owen, Michael, Logan, Victoria, Olivia, Aria, and David. Lucas expressed that if (if Owen is a sinner then Michael is a saint) then (O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 7]], [\"and\", [\"lying\", 4], [\"tel...
{"split": "train", "index": 7984}
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, Joseph, Logan, Luke, Jack, Chloe, Aria, Harper, and Noah. According to Scarlett, \"(Jack is a hero if and only if Noah is a villain) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 0]], [\"not\", [\"<=>\", [...
{"split": "train", "index": 7985}
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, Penelope, Avery, Liam, Mason, Zoey, Evelyn, Jackson, and Aria. Joseph remarked, \"if (Liam is an angel) then (Jackson is a devil and Evelyn is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 7], [\"lying\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]], [\"lying\", 2]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-...
{"split": "train", "index": 7986}
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, Matthew, James, Ella, Charlotte, Alexander, Olivia, Lucas, and Mason. Liam noted, \"(Olivia is a sage or Lucas is a sage) and Charlotte is a fool\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"lying\", 4]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\...
{"split": "train", "index": 7987}
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, Aurora, Olivia, Scarlett, Sofia, Jacob, Ava, Benjamin, and Elizabeth. \"Elizabeth is a sinner,\" Abigail declared. Aurora stated, \"it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"lying\", 8], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"...
{"split": "train", "index": 7988}
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: Jacob, Sophia, Chloe, Charlotte, Lucas, Ethan, Elizabeth, Sebastian, and Matthew. Jacob said, \"(Elizabeth is a knave or Lucas is a knave) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\", [\"->\", ...
{"split": "train", "index": 7989}
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, Michael, Avery, Owen, Emily, Sebastian, Harper, Emma, and Samuel. Amelia stated, \"Emily is a sage\". \"(Samuel is a fool if and only if Emma is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1322, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]], [\"and\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"...
{"split": "train", "index": 7990}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Olivia, Jackson, Samuel, Aria, David, Sophia, Penelope, and Sebastian. Ella told you that it is not the case that (Penelope is an angel). Olivia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1323, \"statements\": [[\"not\", [\"not\", [\"lying\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [...
{"split": "train", "index": 7991}
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, Elizabeth, Logan, Sophia, Jackson, James, Emma, Avery, and Olivia. \"(if Jackson is an egoist then Olivia is an egoist) or Elizabeth is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1324, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"lying\", 1]], [\"lying\", 7], [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"lying\", 5]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 6]], ...
{"split": "train", "index": 7992}
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, Aiden, David, Lucas, Daniel, Ethan, Matthew, Michael, and Noah. \"(Noah is a hero or Noah is a villain) or (if Ethan is a villain then Mic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1325, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], ...
{"split": "train", "index": 7993}
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: David, Daniel, Ava, Penelope, Aria, Isabella, Chloe, Jackson, and Luke. David told you that (if Ava is a sinner then Daniel is a saint) or (Penelope ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1326, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\...
{"split": "train", "index": 7994}
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: Aurora, Noah, Ethan, Emily, Aiden, Elizabeth, Samuel, Alexander, and Scarlett. Aurora expressed that (Emily is a pioneer if and only if Alexand...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1327, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"not\", [\"lying\", 5]], [\...
{"split": "train", "index": 7995}
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, Abigail, Chloe, Sebastian, Sophia, Matthew, Benjamin, Riley, and Ava. Jackson said, \"if (Matthew is a saint or Sophia is a saint) then (Mat...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1328, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 6]...
{"split": "train", "index": 7996}
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: Sophia, Harper, Noah, Jacob, David, Mia, Elizabeth, James, and Lily. In Sophia's words: \"(if Jacob is a sage then Jacob is a fool) and (Mia is a sage if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1329, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]], [\...
{"split": "train", "index": 7997}
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, Avery, James, Grace, Ava, Alexander, Elizabeth, Abigail, and Victoria. In Ethan's words: \"if James is an egoist then (Ethan is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1330, \"statements\": [[\"->\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"or\", [\"telling-tru...
{"split": "train", "index": 7998}
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: Sofia, Olivia, Avery, Ella, Jacob, Aiden, Noah, Owen, and Emma. According to Sofia, \"(Jacob is a knight or Avery is a knight) and (if Ella is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1331, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 8], [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"lying\", 4...
{"split": "train", "index": 7999}