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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Olivia, Noah, Daniel, Matthew, Evelyn, Mia, Jack, Benjamin, and Emma. As Olivia put it, \"Jack is a saint\". \"(Jack is a sinner) or (Mia is a saint)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2132, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 5]]], [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]]...
{"split": "train", "index": 8800}
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, Joseph, Noah, Oliver, Grace, Charlotte, Avery, Sofia, and Sebastian. In Aurora's words: \"(if Joseph is an angel then Sofia is an angel) or (Av...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2133, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 6], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"and\", [\"telling-trut...
{"split": "train", "index": 8801}
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, Aurora, Henry, Olivia, Ava, Grace, Ella, Mason, and Emma. \"Emma is a hero,\" Emily declared. Aurora told you that if Emily is a hero then (He...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2134, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"telling-truth\", 0], [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 7]], [\"and\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"and\", [\"...
{"split": "train", "index": 8802}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lucas, Ella, Logan, Alexander, Penelope, Liam, Elizabeth, Scarlett, and Benjamin. Lucas remarked, \"it is not the case that (if Scarlett is an angel th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2135, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"telling-truth\", 7], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-tr...
{"split": "train", "index": 8803}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ava, Lucas, James, Sofia, Abigail, Chloe, Joseph, Riley, and Charlotte. Ava remarked, \"(Joseph is a devil) if and only if Ava is an angel\". According...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2136, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 0], [\"lying\", 5]]], [\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\...
{"split": "train", "index": 8804}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Chloe, Ethan, Amelia, Riley, Samuel, James, Sofia, Jackson, and Penelope. Chloe noted, \"(if Jackson is an altruist then Samuel is an altruist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2137, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"and\", [\"<=>...
{"split": "train", "index": 8805}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Samuel, Olivia, Jacob, Avery, Mason, Jackson, Ethan, Isabella, and Penelope. According to Samuel, \"if (Samuel is a saint and Ethan is a saint) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2138, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"->\", [\"lying\", 6], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]]],...
{"split": "train", "index": 8806}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Charlotte, Ethan, Olivia, Lucas, Mason, Chloe, Grace, Ava, and Riley. In Charlotte's words: \"(Olivia is a hero and Chloe is a hero) and (Mason is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2139, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 3]...
{"split": "train", "index": 8807}
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, Lucas, Michael, James, Evelyn, Sebastian, Sophia, Oliver, and Mason. According to Daniel, \"if (Evelyn is a laggard) then (Sebastian is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2140, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 5], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"tellin...
{"split": "train", "index": 8808}
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, Victoria, Liam, Scarlett, Harper, Lily, Henry, Emma, and Noah. Michael noted, \"(if Harper is a knight then Liam is a knave) and (Emma is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2141, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\"...
{"split": "train", "index": 8809}
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, Jack, Oliver, Lily, William, Charlotte, Noah, Emily, and Samuel. Jacob said that Noah is a fool. \"if (Jacob is a sage or Emily is a fool) then (Sam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2142, \"statements\": [[\"lying\", 6], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"telling-trut...
{"split": "train", "index": 8810}
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, Joseph, Alexander, Jacob, Jack, Liam, Lucas, Ava, and Zoey. As Logan put it, \"Alexander is a laggard or (Zoey is a pioneer)\". Joseph a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2143, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 4]], [\"telling-truth\", 5]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"...
{"split": "train", "index": 8811}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Grace, Ethan, Noah, Sebastian, Scarlett, Chloe, Zoey, Avery, and Aurora. In Grace's words: \"Ethan is a sinner\". According to Ethan, \"it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2144, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 8]]], [\"and\", [\"or\", [\"...
{"split": "train", "index": 8812}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aurora, Benjamin, Isabella, Samuel, Aria, Jackson, Oliver, Penelope, and Henry. Aurora told you that (Oliver is a knave or Isabella is a knight) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2145, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 5]...
{"split": "train", "index": 8813}
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: Penelope, James, Henry, Sophia, William, Sofia, Charlotte, Oliver, and Logan. As Penelope put it, \"(if Henry is a hero then Charlotte is a villain) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2146, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"lying\", 2]], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"or\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"or\", [\"and...
{"split": "train", "index": 8814}
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: Olivia, Mason, Alexander, Jacob, Mia, Chloe, Grace, Victoria, and Evelyn. Olivia told you that Victoria is an angel and (Mia is an angel and Victoria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2147, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"and\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 3]...
{"split": "train", "index": 8815}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, Evelyn, James, Avery, Elizabeth, Grace, Michael, Penelope, and Samuel. Sebastian commented, \"(Michael is a sage if and only if Sebastian is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2148, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"telling-truth\", 6], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"tell...
{"split": "train", "index": 8816}
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: William, Jacob, Benjamin, Emily, Sophia, Liam, Oliver, Luke, and Alexander. William expressed that if Jacob is a pioneer then (Luke is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2149, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 7]]], [\"->\", [\"not\", [\"...
{"split": "train", "index": 8817}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jacob, Logan, Emily, Aiden, Benjamin, Liam, Zoey, Lucas, and Aria. Jacob asserted: \"(Jacob is an angel or Liam is an angel) or Emily is a devil\". Log...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2150, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"lying\", 2]], [\"telling-truth\", 4], [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 8]]], [\"or\", [\"not\", [\"lying\", 7]], [\"->...
{"split": "train", "index": 8818}
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: Mason, Evelyn, Charlotte, Jackson, Sophia, David, Jack, Noah, and James. Mason asserted: \"(Jackson is a sinner if and only if David is a sinner) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2151, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telli...
{"split": "train", "index": 8819}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Charlotte, David, Lucas, Emma, Alexander, Grace, Jackson, Sofia, and Noah. Charlotte told you that (Noah is a knave or Alexander is a knight) or (Ale...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2152, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"lying\", 4]], [\"->\", [\"not\", [\"ly...
{"split": "train", "index": 8820}
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, James, Jack, Jackson, Scarlett, Charlotte, Grace, Elizabeth, and Zoey. Joseph expressed that Jack is a sage. James asserted: \"it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2153, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"or\", [\"te...
{"split": "train", "index": 8821}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ella, William, Lucas, Henry, Alexander, Isabella, Mia, David, and Benjamin. \"(if Benjamin is a fool then Isabella is a fool) if and only if (Isabella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"telling-tr...
{"split": "train", "index": 8822}
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: Mason, Aurora, Liam, Grace, David, Henry, Oliver, Elizabeth, and Olivia. Mason said that David is a laggard. Aurora remarked, \"if (Oliver is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"lying\", 4], [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 6]], [\"->\", [\"telling-truth\", 0]...
{"split": "train", "index": 8823}
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: Charlotte, Henry, Sophia, Olivia, Abigail, Harper, Jack, William, and Samuel. \"Sophia is a laggard,\" Charlotte declared. As Henry put it, \"A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"lying\", 2], [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and...
{"split": "train", "index": 8824}
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, Grace, Matthew, Evelyn, Riley, Sophia, Charlotte, William, and Aurora. Joseph remarked, \"(Sophia is a hero) and (Charlotte is a villain and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"telling-truth\", 6], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"telling-truth\", 3]], [\"lying\", 1...
{"split": "train", "index": 8825}
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, Amelia, Charlotte, Grace, Ava, Penelope, Daniel, Owen, and Michael. As Lucas put it, \"Michael is a sinner or Michael is a saint\". According ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"t...
{"split": "train", "index": 8826}
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: Benjamin, Sebastian, Victoria, Michael, Ava, Jackson, Elizabeth, Liam, and Olivia. In Benjamin's words: \"(Olivia is a laggard) or Jackson is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 5]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"lying\", 5]], [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\...
{"split": "train", "index": 8827}
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: Charlotte, Lily, Daniel, Evelyn, Ella, Owen, Chloe, Jack, and Matthew. Charlotte told you that (Ella is a sage) or Matthew is a sage. As Lily put it, \"Owe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"not...
{"split": "train", "index": 8828}
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, Abigail, Michael, Riley, Lily, Liam, Samuel, Benjamin, and Emma. Avery said that (Benjamin is a hero if and only if Emma is a hero) or (if Lia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"->\", [\"lying\", 5], [\"lying\", 8]]], [\"lying\", 6], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"lying\", 6]],...
{"split": "train", "index": 8829}
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, Oliver, Mason, Chloe, Scarlett, Mia, Harper, Noah, and Alexander. \"if Mason is a devil then (Mason is a devil and Noah is a devil)\" - Aiden. \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"lying\", 2], [\"lying\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-...
{"split": "train", "index": 8830}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Abigail, Owen, Elizabeth, Daniel, Scarlett, Isabella, Victoria, Olivia, and Harper. Abigail said that if (Daniel is a hero and Scarlett is a villain)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 8]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 3]...
{"split": "train", "index": 8831}
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, Grace, Noah, Sofia, Charlotte, Harper, Riley, and Penelope. \"Riley is a hero,\" William mentioned. Ella told you that if (Penelope is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3]],...
{"split": "train", "index": 8832}
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, Lucas, Isabella, Alexander, Emma, Harper, Noah, Oliver, and Aurora. Avery said that Emma is a pioneer. Lucas told you that (Harper is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"or\", [\"te...
{"split": "train", "index": 8833}
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: Jack, Victoria, Sebastian, Emily, Mia, Oliver, Joseph, Lily, and Penelope. Jack was heard saying, \"(Oliver is a laggard) if and only if (Sebas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"lying\", 6]], [\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"lying\", 1]]], [\"->\", [\"or...
{"split": "train", "index": 8834}
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, Owen, Abigail, Sebastian, Joseph, Aiden, Victoria, Benjamin, and Mason. As Amelia put it, \"if (Victoria is a devil and Victoria is an angel) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 4], [\"telling-truth\", 4], [\"and\", [\"->\", [\"telling-truth\", 0], ...
{"split": "train", "index": 8835}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Lily, Mason, Ava, Alexander, Oliver, Sofia, Penelope, and Isabella. According to Henry, \"if (Lily is a sage and Mason is a sage) then (Isabella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 4], [\"lying\", 6]]...
{"split": "train", "index": 8836}
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, Riley, Sofia, Daniel, James, Sebastian, Sophia, Emily, and Aiden. According to Joseph, \"Daniel is a sinner\". \"(Aiden is a saint) and (Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 0]], [\"->\", [\"telling-truth\", 8], [\"ly...
{"split": "train", "index": 8837}
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, Grace, Luke, Avery, Penelope, David, Sebastian, Sophia, and Jackson. Olivia expressed that if (Grace is a knave) then Sebastian is a knight. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 6]], [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"not\", [\"lying\", 2]]], [\"not\", [\"telling-truth\", 6]], [\"not\", [\"and\",...
{"split": "train", "index": 8838}
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: Sofia, Penelope, Michael, Zoey, Noah, Isabella, Charlotte, Harper, and Mia. \"Noah is a hero,\" Sofia mentioned. As Penelope put it, \"if (Mia is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], ...
{"split": "train", "index": 8839}
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, William, Sophia, Ella, Owen, Elizabeth, Jack, David, and Henry. Mia told you that Ella is a devil. William asserted: \"(if Owen is a devil then El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", ...
{"split": "train", "index": 8840}
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, Ethan, Alexander, Daniel, Lucas, Avery, Isabella, Victoria, and David. Joseph said that (if Avery is a villain then Isabella is a villain) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"telling-truth\", 5], [\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\...
{"split": "train", "index": 8841}
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, David, Avery, Lucas, Sebastian, Jackson, Luke, Amelia, and Aria. Ethan noted, \"(Lucas is a fool or Amelia is a sage) if and only if (if Luke is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4]], [\"or\", [\"telling-trut...
{"split": "train", "index": 8842}
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, Luke, Abigail, Penelope, James, Aurora, Evelyn, Michael, and Grace. Lucas stated, \"it is not the case that (James is a saint or Luke is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 6]], [\"telling-truth\", 7]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"telling-tr...
{"split": "train", "index": 8843}
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: Ethan, Noah, Avery, Penelope, Joseph, James, Ella, Riley, and Aria. Ethan asserted: \"(Ella is a sinner and Noah is a saint) or (Noah is a saint)\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"lying\", 5], [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"telling-tr...
{"split": "train", "index": 8844}
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: Noah, Jacob, Owen, Aurora, Ava, Penelope, Oliver, Amelia, and Jackson. In a statement by Noah: \"Ava is a hero if and only if (Jacob is a hero or Noa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 6]]], [\"and\", [\"-...
{"split": "train", "index": 8845}
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, Jack, Mason, Amelia, Sebastian, Zoey, Abigail, Luke, and Jackson. Olivia said that it is not the case that (Amelia is an altruist and M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"telling-truth\", 7]], [\"telling-truth\", 8], [\"<=>\", [\"and\", [\"lying\", ...
{"split": "train", "index": 8846}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Daniel, Mia, Jack, Evelyn, Ethan, William, Penelope, and Lucas. Mason was heard saying, \"Jack is a hero\". Daniel was heard saying, \"if (Mia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 7]], [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"or\", [\"and\", [...
{"split": "train", "index": 8847}
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, Noah, Charlotte, Benjamin, Olivia, Lily, Joseph, Ethan, and Emily. In a statement by Samuel: \"(Benjamin is an angel or Emily is an angel) or N...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 8], [\"->\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"lying\", 7], [\"telling-truth\"...
{"split": "train", "index": 8848}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Logan, Evelyn, Sofia, Harper, Luke, Aurora, Penelope, Michael, and Benjamin. As Logan put it, \"(Sofia is a devil or Luke is a devil) and (Michael is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 8], [\"lying\", 2]]], [\"not\", [...
{"split": "train", "index": 8849}
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: Logan, Sebastian, Liam, Luke, Aiden, Riley, Abigail, Alexander, and Elizabeth. Logan expressed that Sebastian is an altruist and (Riley is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"or\", [\"...
{"split": "train", "index": 8850}
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: Jack, Lucas, Abigail, Henry, Aria, Michael, Penelope, Ethan, and Charlotte. Jack stated, \"if (if Ethan is a laggard then Michael is a laggard)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"->\", [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"telling...
{"split": "train", "index": 8851}
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: Sebastian, Scarlett, Chloe, Liam, David, Elizabeth, Ava, Sophia, and William. As Sebastian put it, \"(Elizabeth is an egoist and Ava is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]], [\"->\", [\"telling-truth\", 6]...
{"split": "train", "index": 8852}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Daniel, Ethan, Jackson, Henry, Charlotte, David, Ava, Penelope, and Elizabeth. Daniel stated, \"Penelope is a devil\". In Ethan's words: \"(Penelope is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"lying\", 7], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"lying\", 1], [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"tel...
{"split": "train", "index": 8853}
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: Charlotte, Harper, Daniel, David, Jacob, Oliver, Michael, Jack, and Mia. Charlotte noted, \"if (Jacob is a fool if and only if Michael is a sage) then (Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 8...
{"split": "train", "index": 8854}
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, Samuel, Penelope, Sebastian, Sofia, Mia, Avery, Owen, and Aiden. Jackson told you that if (Sebastian is an altruist and Samuel is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\...
{"split": "train", "index": 8855}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Emily, Lily, Jacob, Ethan, Grace, James, Evelyn, and Emma. \"(Jacob is an altruist) or (Emily is an egoist or Grace is an egoist),\" Jack...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 5]], [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"->\", [\"<=>\", [\...
{"split": "train", "index": 8856}
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, Sofia, Ella, Zoey, Charlotte, Ethan, Sebastian, Luke, and Lucas. In a statement by Lily: \"(Lucas is a sinner and Zoey is a saint) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 5], ...
{"split": "train", "index": 8857}
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, Amelia, Oliver, Ella, Charlotte, Avery, Scarlett, Grace, and Michael. Jackson told you that Ella is an egoist if and only if (if Ella ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-tr...
{"split": "train", "index": 8858}
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: David, Owen, Emma, Ethan, Victoria, Jackson, Grace, Noah, and Emily. \"it is not the case that (Emily is a sage if and only if Emma is a fool),\" David men...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"or\", [\"lying\", 6], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"...
{"split": "train", "index": 8859}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, David, Mia, Aiden, Penelope, Oliver, Mason, Avery, and Benjamin. \"it is not the case that (if Penelope is a sinner then David is a saint),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 3]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"n...
{"split": "train", "index": 8860}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, James, David, Oliver, Elizabeth, Grace, Joseph, Henry, and Evelyn. \"(Oliver is a fool or Elizabeth is a fool) and (David is a fool or Evelyn is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-tr...
{"split": "train", "index": 8861}
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, Ava, Jacob, Aiden, Daniel, Olivia, Ethan, Oliver, and Aria. \"Olivia is a hero,\" Lucas mentioned. Ava noted, \"if (Lucas is a villain) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"lying\", 6], [\"tell...
{"split": "train", "index": 8862}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Elizabeth, Sebastian, Liam, Sophia, Olivia, Emily, Oliver, and Ethan. In a statement by Jack: \"(Liam is a knave if and only if Emily is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 6]]], [\"lying\", 7], [\"or\", [\"ly...
{"split": "train", "index": 8863}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Mason, Aurora, Olivia, Charlotte, Scarlett, Sofia, Owen, and Penelope. Jack remarked, \"if (if Sofia is a knight then Aurora is a knight) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"<=>\"...
{"split": "train", "index": 8864}
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: James, Aiden, Isabella, Charlotte, Penelope, Alexander, Benjamin, Daniel, and Jacob. In James's words: \"Alexander is a knight\". \"Benjamin is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 6], [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"->\", [\"lying\", 4], [\"telling-truth\"...
{"split": "train", "index": 8865}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Matthew, James, Grace, Penelope, Liam, Riley, Chloe, Isabella, and Jackson. \"it is not the case that (Isabella is a laggard),\" Matthew declar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8]], [\"or\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"telling-truth\", 7], [\"<=>\", [\"->\", [\"...
{"split": "train", "index": 8866}
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: Sofia, Lucas, Abigail, Evelyn, Isabella, Michael, Emily, Ella, and Grace. Sofia noted, \"if (Evelyn is a sinner or Ella is a saint) then (Ella is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"and\"...
{"split": "train", "index": 8867}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aria, Ethan, Aiden, Mia, Grace, Matthew, Liam, Lucas, and James. Aria noted, \"(Aiden is a pioneer if and only if Mia is a laggard) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\...
{"split": "train", "index": 8868}
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: Jack, Noah, Ethan, Liam, Logan, Zoey, Harper, Grace, and Penelope. Jack commented, \"(if Ethan is an angel then Grace is an angel) or Ethan is a devil\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\...
{"split": "train", "index": 8869}
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: Ethan, Sofia, Samuel, Charlotte, Harper, Olivia, Riley, Jackson, and Elizabeth. Ethan remarked, \"(if Charlotte is a saint then Riley is a saint) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying...
{"split": "train", "index": 8870}
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: Lucas, Scarlett, Emma, Isabella, Chloe, Michael, Sofia, Elizabeth, and Lily. Lucas remarked, \"(Chloe is a knave and Sofia is a knave) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"telling-truth\", 3]], [\"telling-truth\", 8], [\"or\", [\"lying\", 6], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"not\", [\"or\...
{"split": "train", "index": 8871}
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: James, Sofia, Zoey, Liam, Samuel, Jacob, Amelia, Isabella, and Harper. James stated, \"if (Zoey is a knight) then (Isabella is a knave and Amelia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\", [\...
{"split": "train", "index": 8872}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Aria, Luke, Chloe, Avery, Sofia, Jackson, Benjamin, and Oliver. Grace remarked, \"(Avery is a hero and Chloe is a villain) and (if Aria is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", ...
{"split": "train", "index": 8873}
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, Emma, Michael, Samuel, Henry, Ella, Joseph, Avery, and Riley. \"if (Riley is an egoist and Avery is an egoist) then (Ethan is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"lying\", 7]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 5]], [\"and\", [\"lying\", 2], [\"lying\", 0...
{"split": "train", "index": 8874}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Logan, Emma, Victoria, Grace, Joseph, Harper, Aria, Aiden, and Elizabeth. According to Logan, \"if (Elizabeth is a devil) then (if Logan is an angel th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"telling-truth\", 4], [\"telling-truth...
{"split": "train", "index": 8875}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Jack, Daniel, Aria, Liam, Scarlett, Lily, Aiden, and Oliver. In Owen's words: \"Lily is an egoist\". Jack said, \"(Lily is an altruist or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"lying\", 6], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"l...
{"split": "train", "index": 8876}
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: Mia, Lucas, Luke, Emma, Lily, Ethan, Daniel, Zoey, and Avery. Mia asserted: \"(if Daniel is an altruist then Zoey is an egoist) and (Zoey is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"<=>\", [\"lying\", 7], [\"lying\", 5]]], [\"lying\", 7], [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8]], [\"->\", [\"lying\", 3...
{"split": "train", "index": 8877}
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, Penelope, James, Aiden, Chloe, Noah, Mia, Ethan, and Amelia. \"Noah is a laggard,\" Logan claimed. According to Penelope, \"Amelia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"lying\", 5], [\"lying\", 8], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]],...
{"split": "train", "index": 8878}
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, Michael, William, Sebastian, Isabella, Harper, Aria, Emma, and Chloe. Joseph said that (if Sebastian is an angel then William is a devil) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 5...
{"split": "train", "index": 8879}
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: Samuel, Sebastian, Abigail, Michael, Penelope, Isabella, Riley, Henry, and Scarlett. In a statement by Samuel: \"Michael is a villain\". Sebastian sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"lying\", 3], [\"telling-truth\", 6], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 2]], [\"telling-truth\", 2]]...
{"split": "train", "index": 8880}
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: Ella, Mason, Harper, David, Emma, Ava, Evelyn, Henry, and Emily. Ella commented, \"(Harper is a saint or Ava is a sinner) or (Emma is a saint and Mas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 7], [...
{"split": "train", "index": 8881}
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, Zoey, Samuel, Riley, Isabella, Scarlett, James, Aria, and Emma. Oliver said that (Zoey is a sage or Scarlett is a fool) if and only if Riley is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5]], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 7]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"or\"...
{"split": "train", "index": 8882}
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: Lily, Penelope, Benjamin, William, Logan, Samuel, Mia, Emily, and Matthew. Lily expressed that if (William is a hero) then (if Matthew is a hero then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 1], ...
{"split": "train", "index": 8883}
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: Olivia, Grace, Sebastian, Benjamin, Liam, Riley, Victoria, Charlotte, and Aurora. Olivia commented, \"(Sebastian is a villain or Victoria is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"lying\", 6]], [\"lying\", 3]], [\"telling-truth\", 2], [\"and\", [\"lying\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-tr...
{"split": "train", "index": 8884}
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, Evelyn, Owen, Sofia, Luke, Matthew, Zoey, Aurora, and Daniel. In a statement by Avery: \"Daniel is a saint\". Evelyn remarked, \"it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"<=>\", [\"no...
{"split": "train", "index": 8885}
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: Benjamin, William, Lily, Henry, Jack, Aurora, Penelope, Lucas, and Jacob. Benjamin commented, \"Jack is an altruist\". William told you that Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 4], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\...
{"split": "train", "index": 8886}
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, Isabella, Chloe, Sofia, Sophia, Amelia, Lily, William, and Aria. \"it is not the case that (Lily is a sinner or Amelia is a sinner),\" Micha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"not\", [\"or\", [\"lying\", 6], [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\",...
{"split": "train", "index": 8887}
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: Emily, Olivia, Aiden, Alexander, Luke, Sophia, Riley, Oliver, and Ella. \"(Ella is a fool and Riley is a sage) if and only if (Oliver is a sage),\" Emily c...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\...
{"split": "train", "index": 8888}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Scarlett, Chloe, Jackson, Amelia, Sophia, Aiden, Abigail, and Owen. \"if (Abigail is an egoist if and only if Chloe is an egoist) then (S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 4], [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\...
{"split": "train", "index": 8889}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Penelope, Matthew, Isabella, Olivia, Mason, Henry, Logan, Harper, and Jack. \"Jack is a fool,\" Penelope mentioned. In a statement by Matthew: \"if (Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"lying\", 8], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8], [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 6]]], [\"lying\", 1], [\"->\", [...
{"split": "train", "index": 8890}
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: Charlotte, Mason, James, Grace, Matthew, Henry, Avery, Amelia, and Emily. In a statement by Charlotte: \"if (James is an egoist) then (if Avery...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 6], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 1],...
{"split": "train", "index": 8891}
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, Alexander, Sophia, Riley, Logan, Scarlett, Liam, Victoria, and Matthew. \"it is not the case that (Scarlett is a sinner),\" Joseph claimed. A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"lying\", 6], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"t...
{"split": "train", "index": 8892}
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, Luke, Ella, David, Henry, James, Jackson, Matthew, and Elizabeth. Harper said that David is a devil. In a statement by Luke: \"if (if Ella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"lying\", 3], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 8]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 0]], [\"lying\", 7...
{"split": "train", "index": 8893}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Elizabeth, Joseph, Emma, David, Charlotte, Lily, William, Lucas, and Scarlett. Elizabeth was heard saying, \"David is an egoist\". Joseph was h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"lying\", 3], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"not\", [\"telling-truth...
{"split": "train", "index": 8894}
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: Abigail, Owen, Avery, Sebastian, Scarlett, Emma, Lucas, Mason, and Daniel. \"(Owen is a pioneer and Avery is a laggard) if and only if (Lucas i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 6], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7],...
{"split": "train", "index": 8895}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Harper, Samuel, Avery, Jack, James, Abigail, Jackson, Jacob, and Logan. In Harper's words: \"(if Logan is a sage then Jackson is a fool) if and only if (Ab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\...
{"split": "train", "index": 8896}
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: Ethan, Oliver, David, Lucas, Sofia, Noah, Harper, William, and Michael. In a statement by Ethan: \"(Noah is a saint and William is a saint and Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"or\", [\"lying\", 7], [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-...
{"split": "train", "index": 8897}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Isabella, Jack, Aurora, James, Benjamin, Michael, Ava, and Avery. \"it is not the case that (if Avery is a fool then Aurora is a sage),\" Victori...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 5]]], [\"->\", [\"<=>\", [\"l...
{"split": "train", "index": 8898}
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: Sofia, Liam, Sebastian, James, Sophia, Ava, Owen, Luke, and Penelope. Sofia commented, \"(Liam is an angel) and (if James is a devil then Ava is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 5]]], [\"<=>...
{"split": "train", "index": 8899}