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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: Harper, Matthew, Jacob, Mason, Sophia, Aria, Victoria, Olivia, and Liam. Harper commented, \"(Liam is an angel or Olivia is an angel) if and only if Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 7]], [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [...
{"split": "train", "index": 9100}
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, Mason, Abigail, Riley, David, Ethan, Chloe, Henry, and Matthew. Emily was heard saying, \"(Chloe is a laggard and Riley is a pioneer and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying...
{"split": "train", "index": 9101}
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, Ava, Noah, Daniel, Emma, Ella, Jackson, Sebastian, and Victoria. Scarlett stated, \"(Ella is a knight if and only if Ella is a knave) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=...
{"split": "train", "index": 9102}
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, Samuel, Liam, Michael, Luke, Oliver, Penelope, Victoria, and Ella. Aurora said that (Victoria is an angel and Ella is an angel) or (Liam is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\...
{"split": "train", "index": 9103}
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, Emma, Charlotte, James, Sophia, Mason, Scarlett, Zoey, and Olivia. According to David, \"(Sophia is a knight) and (Sophia is a knave or Scarle...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"lying\", 8], [\"telling-truth\", 1], [\"lying\", 6]]], [\"<=>\", [\"lying\", 5], [\"not\", [\"lying\", 4]]], [\"a...
{"split": "train", "index": 9104}
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, Aiden, Oliver, William, Jacob, Noah, Luke, Jack, and Evelyn. Ella said, \"Aiden is an angel.\" Aiden said, \"William is a devil.\" \"(Jacob is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"tel...
{"split": "train", "index": 9105}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jacob, Noah, Ava, Sophia, Jackson, Daniel, Michael, Elizabeth, and Owen. In a statement by Jacob: \"(Noah is a sage if and only if Jacob is a sage) or (Sop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]...
{"split": "train", "index": 9106}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Owen, Oliver, Liam, Amelia, Emily, Aria, Grace, Ava, and Abigail. As Owen put it, \"(Grace is a sage and Abigail is a fool and Grace is a fool) and Oliver ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8], [\"lying\", 6]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7]], [\"lying\", 7]], [\"->\", [\"lying\", 4], [\"or\"...
{"split": "train", "index": 9107}
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, Samuel, Sophia, Isabella, Victoria, Jacob, Jackson, Charlotte, and Grace. \"Jacob is a saint\" - Penelope. \"if Jacob is a sinner then Isab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"not\", [\"not\", [\"tel...
{"split": "train", "index": 9108}
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, Oliver, Logan, Charlotte, Ethan, Harper, Alexander, Mason, and Avery. In Lily's words: \"it is not the case that (if Harper is a saint then Har...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"...
{"split": "train", "index": 9109}
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, Amelia, Grace, Mason, Joseph, William, Avery, Sofia, and Alexander. Ava remarked, \"Mason is a sage\". Amelia expressed that it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 5]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"t...
{"split": "train", "index": 9110}
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: Jack, Oliver, Amelia, Noah, Owen, Mia, Victoria, Isabella, and Ella. Jack told you that Amelia is a sinner. \"Mia is a sinner,\" Oliver mentioned. Am...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"lying\", 2], [\"lying\", 5], [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 7], [\"lying\", 6]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 4]...
{"split": "train", "index": 9111}
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, Abigail, Penelope, David, Alexander, Victoria, Sophia, Ethan, and Joseph. Ava expressed that Victoria is a saint if and only if (Penelope is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-...
{"split": "train", "index": 9112}
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: Liam, Jacob, Daniel, Olivia, Elizabeth, Logan, Owen, James, and Penelope. In Liam's words: \"if (Jacob is an altruist or James is an egoist) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]], [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5], [\"lying\", 2]], [\"lying\", 8]], [\"telling-...
{"split": "train", "index": 9113}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Zoey, Mia, Logan, Olivia, Jackson, Amelia, Sophia, Aiden, and Emily. \"it is not the case that (Logan is an altruist)\" - Zoey. Mia noted, \"(Z...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\...
{"split": "train", "index": 9114}
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: Avery, Matthew, Jackson, Isabella, Samuel, Lily, Noah, Aurora, and Chloe. As Avery put it, \"Noah is a saint\". Matthew expressed that it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"not\", [\"lying\", 6]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\...
{"split": "train", "index": 9115}
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, Jackson, Harper, Riley, Owen, Abigail, Zoey, Luke, and Ethan. Victoria asserted: \"Owen is a knight\". Jackson stated, \"Abigail is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 5], [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 0], [\"not\", [\"lying\", 5]]], [\"lying\",...
{"split": "train", "index": 9116}
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, Jack, Henry, Victoria, Joseph, William, Harper, Luke, and Charlotte. Ava said that it is not the case that (Victoria is a sinner if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 6]]], [\"or\", [\"telling-truth\", 6], [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"a...
{"split": "train", "index": 9117}
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: Luke, Noah, Ella, Mia, Alexander, Sofia, Amelia, Lucas, and Sebastian. Luke remarked, \"Sofia is a sage\". In Noah's words: \"(Amelia is a fool) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"->\", [\"lying\", 5]...
{"split": "train", "index": 9118}
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: Noah, Zoey, Scarlett, Harper, Charlotte, Alexander, Liam, Henry, and Emma. Noah was heard saying, \"it is not the case that (Liam is a sinner and Sca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\"...
{"split": "train", "index": 9119}
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: Mia, Victoria, Aurora, Samuel, Isabella, Sebastian, Scarlett, Lily, and Joseph. According to Mia, \"Sebastian is an angel or (Samuel is a devil and Aur...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8]], [\"and\", [\"telling-truth\", 8], [\"telling-truth...
{"split": "train", "index": 9120}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Michael, Scarlett, Ava, Henry, Evelyn, Sophia, Joseph, Aiden, and Grace. Michael commented, \"Grace is an altruist\". Scarlett told you that Ai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"telling-truth\", 8], [\"lying\", 7], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 3]], [\"or\", [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"lying\", 7], [\"...
{"split": "train", "index": 9121}
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, Sofia, Ella, Michael, Olivia, Matthew, Samuel, Liam, and William. Daniel said, \"Ella is a laggard if and only if (Samuel is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 6]], [\"telling-truth\", 2]], [\"->\", [...
{"split": "train", "index": 9122}
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, Sofia, Aiden, Evelyn, Aurora, Henry, James, Ava, and Emily. Harper told you that (Aiden is an angel and Aiden is a devil) and (if Aurora is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"<=>\"...
{"split": "train", "index": 9123}
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: Scarlett, Aiden, Ethan, Alexander, Daniel, Abigail, Penelope, Noah, and Ava. Scarlett was heard saying, \"Noah is a pioneer\". As Aiden put it,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"telling-truth\", 7], [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"lying\", 8], [\"<=>\", [\"telling...
{"split": "train", "index": 9124}
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: Aiden, Sofia, Joseph, Abigail, Zoey, Owen, Isabella, Michael, and Scarlett. Aiden asserted: \"Zoey is a knave\". According to Sofia, \"(Aiden is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", ...
{"split": "train", "index": 9125}
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, Matthew, Alexander, Scarlett, Noah, Logan, Jackson, Jacob, and Emily. Riley stated, \"it is not the case that (Emily is a sinner if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\"...
{"split": "train", "index": 9126}
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: William, Elizabeth, Henry, Charlotte, Emma, Noah, James, Avery, and Lily. William stated, \"(Lily is a fool and Noah is a sage and Charlotte is a sage) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 0],...
{"split": "train", "index": 9127}
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: Joseph, Charlotte, Ava, Elizabeth, Jacob, Aiden, Samuel, Zoey, and Ella. As Joseph put it, \"(if Zoey is a sinner then Elizabeth is a sinner) or (Cha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 5], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]],...
{"split": "train", "index": 9128}
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: Grace, Lily, Emily, Jacob, David, Ava, Mia, Emma, and Luke. \"(if Emily is a devil then Lily is an angel) and (Jacob is a devil or Mia is an angel or M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 6], [\"lying\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"or\", [...
{"split": "train", "index": 9129}
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, Henry, Abigail, Penelope, Riley, Sofia, Chloe, Charlotte, and David. \"Sofia is a hero or Charlotte is a villain or (Penelope is a hero and Chl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"lying\", 7], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 7], [\"lying\"...
{"split": "train", "index": 9130}
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, Riley, Henry, Victoria, Matthew, Charlotte, Jack, David, and Logan. Penelope said that (Victoria is a sinner and Jack is a saint) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 5]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]...
{"split": "train", "index": 9131}
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, Avery, Noah, Michael, Sofia, Lucas, Riley, Isabella, and Chloe. \"Sofia is a saint\" - Jackson. Avery commented, \"(if Michael is a saint th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 4]], [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 2], [\"lying\", 0]], [\"ly...
{"split": "train", "index": 9132}
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, Daniel, William, Mason, Isabella, Emma, Logan, Oliver, and David. Riley said that if (if Emma is a knave then David is a knave) then (if Mason...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"->\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"->\", [\"lying\", 3], [\"lying\", 7]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"<=...
{"split": "train", "index": 9133}
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, Alexander, Owen, Victoria, Ethan, Sebastian, Harper, Lucas, and Scarlett. Matthew remarked, \"(Victoria is a saint) and (Victoria is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"ly...
{"split": "train", "index": 9134}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Harper, Jack, Scarlett, Sophia, Aiden, Matthew, Grace, and Liam. Riley remarked, \"(Sophia is a devil) if and only if (if Harper is an angel the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"lying\", 0], [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lyin...
{"split": "train", "index": 9135}
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, Penelope, William, Avery, Grace, Henry, Owen, Matthew, and Sofia. \"Penelope is an altruist,\" Lucas claimed. Penelope commented, \"Henr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"lying\", 5], [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 6], [\"telling...
{"split": "train", "index": 9136}
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, Evelyn, Ava, Aiden, James, Sebastian, Sofia, Elizabeth, and Liam. According to Victoria, \"it is not the case that (Victoria is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", ...
{"split": "train", "index": 9137}
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: Henry, Evelyn, Scarlett, Benjamin, Oliver, Mason, Michael, Jackson, and Ava. Henry said that (Michael is a devil if and only if Evelyn is an angel) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lyin...
{"split": "train", "index": 9138}
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, Daniel, Aurora, Jack, Mia, Mason, Riley, Aiden, and Ella. According to Liam, \"(Jack is a hero if and only if Liam is a hero) or Daniel is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 1], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"not\", [\"lying\", 4]], [\"not\", ...
{"split": "train", "index": 9139}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Daniel, Ethan, Penelope, Luke, James, Ella, Amelia, Emily, and Owen. Daniel stated, \"it is not the case that (James is a knave and Amelia is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 0], [\"lying\", 6], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [...
{"split": "train", "index": 9140}
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: Aiden, Elizabeth, Lucas, Henry, Ethan, James, Zoey, Penelope, and Grace. In Aiden's words: \"(Aiden is a sage and James is a fool) if and only if (Elizabet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 7], [\"telling-truth\", 4]], [\"or\",...
{"split": "train", "index": 9141}
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, Jackson, David, Lucas, Emma, Olivia, William, Liam, and Lily. \"if (Olivia is an altruist) then (Lily is an egoist and William is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 1]]], [\"lying\", 5], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 5], [\"->\...
{"split": "train", "index": 9142}
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, Ethan, Benjamin, Samuel, Scarlett, Abigail, Liam, Jacob, and Jackson. Grace told you that it is not the case that (Samuel is a fool). Ethan stated, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 8], [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4...
{"split": "train", "index": 9143}
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, Sofia, Victoria, Liam, Mason, Ava, James, Penelope, and Avery. \"if (if Victoria is a hero then Liam is a hero) then (Penelope is a villain an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 4], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\"...
{"split": "train", "index": 9144}
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: Jacob, Daniel, Mason, Evelyn, Emma, Mia, Alexander, Aurora, and Ethan. Jacob expressed that if (Alexander is an altruist) then (Emma is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"->\", [\"not\", [\"lying\", 6]], [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"lying\", 6]], [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"lying\", ...
{"split": "train", "index": 9145}
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, Penelope, Olivia, Lily, Liam, Owen, James, Aria, and Charlotte. Benjamin told you that if (Liam is a sinner or Penelope is a sinner or Benj...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 4], [\"ly...
{"split": "train", "index": 9146}
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: Lily, Alexander, Olivia, Jackson, Mason, Samuel, Liam, Matthew, and Elizabeth. Lily expressed that (if Matthew is a fool then Alexander is a fool) or (Samu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"or\", [\"lying\", 5], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"<=>\...
{"split": "train", "index": 9147}
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, Sophia, Logan, Lucas, William, Matthew, Victoria, Michael, and Jack. Joseph told you that Logan is a devil. As Sophia put it, \"William is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"lying\", 2], [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 8], [\"lying\", 8], [\"lying\", 4]], [\"telling-truth\", 8], [\"lying\", 1]], [\"->\", [...
{"split": "train", "index": 9148}
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, Owen, Grace, Alexander, Jackson, Noah, Ava, Sofia, and Liam. Lily stated, \"if (Alexander is a devil or Sofia is a devil) then (Owen is a devil o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"->\", [\"lying\", 4], [\"lying\", 6]]], [\"not\"...
{"split": "train", "index": 9149}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Sofia, Samuel, Owen, Elizabeth, Mason, Ethan, Harper, and Chloe. As Logan put it, \"(Chloe is a fool or Ethan is a sage) if and only if (Harper is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-tru...
{"split": "train", "index": 9150}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Ella, Jack, Lily, Harper, Benjamin, Emma, Mason, and Lucas. As Aiden put it, \"it is not the case that (Harper is a pioneer or Emma is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 5], [\"tellin...
{"split": "train", "index": 9151}
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, Mason, Evelyn, Grace, James, Henry, William, Ava, and Daniel. As Aurora put it, \"James is a saint and (Evelyn is a saint if and only if Dani...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"<=>\", [\"lying\", 6], [\"l...
{"split": "train", "index": 9152}
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, Michael, Olivia, Evelyn, Lily, Harper, Chloe, Daniel, and Ethan. \"Harper is a devil if and only if (Chloe is an angel or Evelyn is a devil),\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"<=>\", [\"lying\", 5], [\"or\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 1], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-tru...
{"split": "train", "index": 9153}
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, Samuel, Sebastian, Alexander, Oliver, Ella, Mia, William, and Henry. Olivia noted, \"Sebastian is a saint\". Samuel was heard saying, \"(Will...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\...
{"split": "train", "index": 9154}
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: William, Ethan, Emily, Owen, Joseph, Alexander, Elizabeth, Aria, and Liam. William commented, \"(Elizabeth is a knave if and only if Ethan is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"telling-tru...
{"split": "train", "index": 9155}
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, Mason, Noah, Owen, Aiden, Emma, Jacob, Ava, and Charlotte. Victoria asserted: \"(if Ava is a knight then Mason is a knight) or (Charlotte i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"lying\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"te...
{"split": "train", "index": 9156}
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, Owen, Emma, Joseph, Elizabeth, Evelyn, James, Noah, and Penelope. Grace said that (Owen is an altruist if and only if Evelyn is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"lying\", 4]], [\"lying\", 5], ...
{"split": "train", "index": 9157}
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: Noah, Michael, Charlotte, Evelyn, Ava, Aiden, Joseph, Jack, and Emily. According to Noah, \"(Ava is a sinner and Joseph is a sinner and Ava is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"->\", [\"telling-tr...
{"split": "train", "index": 9158}
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: Aurora, Luke, Victoria, Jacob, Joseph, Aria, Oliver, Sophia, and Aiden. Aurora commented, \"Joseph is an altruist or Joseph is an egoist or (Ar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], ...
{"split": "train", "index": 9159}
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, Oliver, Ava, Benjamin, Sebastian, Aiden, William, Alexander, and Matthew. \"(Aiden is a laggard if and only if Sebastian is a pioneer) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6], [\"lying\", 5]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4], [\"lying\", 2]], ...
{"split": "train", "index": 9160}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Alexander, Luke, Samuel, Grace, Aria, Michael, Owen, William, and Jacob. Alexander expressed that (Alexander is a saint or Luke is a sinner or Willia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"telli...
{"split": "train", "index": 9161}
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: Scarlett, Aiden, Alexander, Emma, Harper, Olivia, Chloe, David, and Jacob. \"(Harper is a laggard if and only if Scarlett is a pioneer) and (Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"lying\", 0], [\"or\", [\"not\", [\"...
{"split": "train", "index": 9162}
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: Michael, Evelyn, Ethan, Joseph, Noah, Chloe, Zoey, James, and Avery. Michael said that (Evelyn is a knave if and only if James is a knave) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 7]], [\"not\", [\"lying\", 8]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"->\", [\"lying\", 5], [\"lying\", 0]], [\"->\", [\"telling-truth\", 8...
{"split": "train", "index": 9163}
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, Joseph, Lucas, Liam, Olivia, Jacob, Victoria, Jack, and Avery. Luke was heard saying, \"(if Jack is a knave then Victoria is a knave) and Avery...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"and\", [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"telling-truth\", 8], [\"lying\", 5]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"not\"...
{"split": "train", "index": 9164}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jacob, Lucas, Mia, Joseph, Evelyn, Amelia, Michael, William, and Oliver. Jacob said, \"(William is a sinner and Evelyn is a saint and Lucas is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"or\", [\"or\", [\"lyin...
{"split": "train", "index": 9165}
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: Zoey, Liam, Aria, Jackson, Scarlett, Aurora, Matthew, Jack, and William. In a statement by Zoey: \"if (if Matthew is a villain then William is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"->\", [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 3], [\"or...
{"split": "train", "index": 9166}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Scarlett, Zoey, Victoria, Matthew, Luke, Aria, Riley, Grace, and Sebastian. \"(Scarlett is an angel or Grace is an angel or Aria is a devil) if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], ...
{"split": "train", "index": 9167}
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: Aurora, Alexander, Samuel, Chloe, Daniel, Lucas, Jacob, Owen, and Aria. \"(Chloe is a villain if and only if Alexander is a hero) if and only if (Dan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-t...
{"split": "train", "index": 9168}
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, Alexander, Mason, Emma, Penelope, Oliver, Ella, Grace, and Isabella. Joseph said, \"(Penelope is a sage and Ella is a fool) or (Oliver is a sage an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 3]], [\"<=>\", [\"tel...
{"split": "train", "index": 9169}
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, Owen, Abigail, Elizabeth, Oliver, Olivia, Penelope, Aiden, and Michael. Lucas asserted: \"if (Michael is a villain) then (Penelope is a hero)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"a...
{"split": "train", "index": 9170}
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, Zoey, Joseph, Isabella, Liam, Evelyn, Matthew, Logan, and James. Scarlett remarked, \"if Logan is a hero then Logan is a villain\". Zoey co...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"lying\", 7]], [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"and\", [\"not\", [\"lying\", 5]]...
{"split": "train", "index": 9171}
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, Ava, Owen, Harper, Noah, Henry, Riley, David, and Emily. Luke expressed that if Ava is a saint then (Emily is a sinner). \"(Riley is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]]...
{"split": "train", "index": 9172}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, David, Emily, Grace, Chloe, Riley, Penelope, Noah, and Michael. Logan was heard saying, \"if (Michael is a pioneer and Grace is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2], [\"lying\", 8]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\...
{"split": "train", "index": 9173}
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: Aiden, Ava, Avery, William, Scarlett, Ethan, Harper, Aria, and Ella. As Aiden put it, \"(if Ethan is a knight then Avery is a knave) and (if Ethan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 5]]], [\"<=>\", [\"telling-truth\", 6], [\"and\", [\"lyin...
{"split": "train", "index": 9174}
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: Ava, David, Owen, Michael, Victoria, Ella, Elizabeth, Daniel, and Jacob. Ava said, \"if (if Victoria is an egoist then David is an altruist) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1],...
{"split": "train", "index": 9175}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Scarlett, Avery, Oliver, Matthew, Luke, Ethan, Grace, Jackson, and Liam. Scarlett said, \"(if Oliver is a sage then Matthew is a sage) if and only if (Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\...
{"split": "train", "index": 9176}
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: Olivia, Riley, Victoria, Sofia, Oliver, Liam, Emma, Avery, and David. Olivia was heard saying, \"Victoria is an altruist\". \"if (Sofia is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"->\", [\"not\", [\"telling...
{"split": "train", "index": 9177}
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, Victoria, Elizabeth, Scarlett, Charlotte, Emma, Henry, Joseph, and Ethan. Avery said that if (Charlotte is a villain if and only if Victoria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"no...
{"split": "train", "index": 9178}
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: Penelope, Matthew, Logan, Elizabeth, Victoria, Jackson, Mia, Aiden, and Samuel. According to Penelope, \"if (if Aiden is a laggard then Jackson...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"->\", [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"<=>\", [\"lying\", 1], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 5]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0],...
{"split": "train", "index": 9179}
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, Ethan, Harper, Alexander, Lucas, Matthew, Charlotte, Sebastian, and Jacob. \"(Harper is a fool) if and only if (Matthew is a sage and Jacob is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"ly...
{"split": "train", "index": 9180}
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: Aria, Riley, Ava, Lucas, Emily, Chloe, David, Zoey, and Victoria. Aria remarked, \"(Lucas is an angel if and only if Emily is an angel) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [...
{"split": "train", "index": 9181}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jacob, Victoria, Avery, David, Oliver, James, Penelope, Emma, and Aiden. According to Jacob, \"it is not the case that (Aiden is a villain if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"<=>\", [\"lying\", 7], [\"a...
{"split": "train", "index": 9182}
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, Isabella, Ava, Grace, Jackson, Penelope, Victoria, Ella, and Matthew. Lucas expressed that it is not the case that (Isabella is a saint and Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", 6], [\"lying\", 6], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"->\", [\"and\...
{"split": "train", "index": 9183}
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, Riley, Aurora, Charlotte, Aria, Olivia, Benjamin, Chloe, and Abigail. Noah said, \"(if Charlotte is a fool then Riley is a fool) and Riley is a fool ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 1], [\"lying\", 6]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"tell...
{"split": "train", "index": 9184}
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, Liam, Emily, David, Noah, Victoria, Matthew, Lily, and Avery. Joseph said that (Avery is a fool) if and only if (Matthew is a sage). \"if (Lily is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"t...
{"split": "train", "index": 9185}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, Liam, Abigail, Chloe, Logan, Elizabeth, Riley, Aurora, and Sebastian. Noah noted, \"(Logan is an egoist or Aurora is an altruist) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [...
{"split": "train", "index": 9186}
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, Isabella, Ava, Ella, David, Mia, Jacob, Sophia, and Liam. Chloe asserted: \"(Mia is a fool if and only if Sophia is a fool) or (Isabella is a sage o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 7]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 7], [\"telling-truth\", 0]], [\"and\",...
{"split": "train", "index": 9187}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Ethan, Luke, David, Zoey, Emma, Aiden, Elizabeth, and Amelia. As Logan put it, \"(Emma is a fool and Elizabeth is a fool and David is a sage) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 7]], [\"not\", [\"ly...
{"split": "train", "index": 9188}
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: David, Lucas, Ella, Luke, Mason, Alexander, Noah, Lily, and Scarlett. David said, \"(Scarlett is an egoist and Alexander is an egoist and Mason...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"lying\", 5], [\"lying\", 4]], [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth...
{"split": "train", "index": 9189}
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: Henry, Samuel, Avery, Isabella, Chloe, Victoria, Emily, Abigail, and Emma. Henry commented, \"Abigail is a devil\". \"(if Henry is a devil then Abigail...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"lying\", 7], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 7]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]],...
{"split": "train", "index": 9190}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Avery, Mia, Sebastian, Jackson, Lucas, Aurora, Elizabeth, Joseph, and Sophia. \"Jackson is an altruist if and only if (Mia is an egoist and Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 5], [\"lying\", 0], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"...
{"split": "train", "index": 9191}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Samuel, Matthew, Charlotte, Sebastian, Olivia, Evelyn, Chloe, Luke, and Scarlett. \"(if Chloe is an angel then Olivia is an angel) or (Sebastian is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 8]]], [\"lying\", 3], [\"or\"...
{"split": "train", "index": 9192}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Benjamin, Elizabeth, Lily, Avery, Jackson, Chloe, Evelyn, Sophia, and William. Benjamin said that (Evelyn is a knave) and (Lily is a knave and Chloe ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"lying\", 2], [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"lying\", 5], [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [...
{"split": "train", "index": 9193}
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, Aiden, Mia, Luke, Alexander, Penelope, David, Abigail, and Samuel. \"David is a pioneer,\" Oliver declared. Aiden told you that (Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 6], [\"lying\", 3]], [\"lying\", 7], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-...
{"split": "train", "index": 9194}
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, Logan, Olivia, Matthew, Aiden, Alexander, Lucas, Ethan, and James. Sofia commented, \"(James is a knight) or (Ethan is a knight if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"lying\", 3]], [\"->\", [\"and\", [\"telling-tr...
{"split": "train", "index": 9195}
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: Emma, Aiden, Olivia, Lucas, Avery, Logan, Samuel, Emily, and Owen. Emma expressed that Emily is a knave. \"Olivia is a knight,\" Aiden mentioned. \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"lying\", 7], [\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"->\", [\"lying\", 6], [\"telling-tr...
{"split": "train", "index": 9196}
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, David, Lucas, Chloe, Penelope, Michael, Henry, Sebastian, and Ava. Ethan expressed that if (David is a hero and Lucas is a villain and Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 6]], [\"<=>\...
{"split": "train", "index": 9197}
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, Joseph, Aurora, Logan, Sofia, Henry, David, Emily, and Elizabeth. \"(Elizabeth is a knight or David is a knight or Henry is a knight) or (Loga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lyin...
{"split": "train", "index": 9198}
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, Ella, Sophia, Emily, Amelia, Grace, Olivia, Avery, and Scarlett. \"it is not the case that (if Sophia is a sinner then Amelia is a sinner),...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\"...
{"split": "train", "index": 9199}