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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 5 inhabitants: Riley, Sebastian, Chloe, James, and Ella. \"(Riley is an altruist or Ella is an egoist) and (James is an egoist and Ella is an altruist) and (J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1610, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 2]], [\"and...
{"split": "train", "index": 10500}
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 5 inhabitants: Oliver, Penelope, Evelyn, Joseph, and Mia. \"(Evelyn is a sinner or Mia is a sinner or Joseph is a sinner) and (Mia is a saint or Joseph is a sinner)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1611, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-tru...
{"split": "train", "index": 10501}
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 5 inhabitants: Aria, Noah, Scarlett, Sophia, and Benjamin. Aria told you that (Benjamin is a sinner) and (if Aria is a saint then Benjamin is a sinner) and (Noah is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1612, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\...
{"split": "train", "index": 10502}
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 5 inhabitants: Noah, Matthew, Mason, Isabella, and Lily. \"(Matthew is a knave or Lily is a knight) and Isabella is a knight and (if Isabella is a knave then Lily i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1613, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"lying...
{"split": "train", "index": 10503}
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 5 inhabitants: William, Alexander, Harper, Riley, and Avery. \"it is not the case that (Riley is a hero and Riley is a villain),\" William declared. \"Avery is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1614, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 4], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2...
{"split": "train", "index": 10504}
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 5 inhabitants: Michael, Noah, Jacob, Chloe, and Oliver. Michael said, \"(Michael is a hero or Noah is a hero or Chloe is a villain) and (Chloe is a villain and Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1615, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"->\", [\"tel...
{"split": "train", "index": 10505}
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 5 inhabitants: Harper, Michael, Matthew, Aria, and Victoria. Harper was heard saying, \"(Matthew is a fool and Harper is a sage) or (Harper is a sage or Aria is a sage or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1616, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2]...
{"split": "train", "index": 10506}
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 5 inhabitants: Aiden, Emma, Jack, Riley, and Victoria. \"Jack is a laggard\" - Aiden. Emma remarked, \"(Aiden is a pioneer and Victoria is a laggard and Emma ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1617, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"tell...
{"split": "train", "index": 10507}
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 5 inhabitants: James, Penelope, Charlotte, Aurora, and Matthew. As James put it, \"(if Aurora is an altruist then Charlotte is an egoist) and (Matthew is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1618, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"or\"...
{"split": "train", "index": 10508}
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 5 inhabitants: Grace, Oliver, David, Avery, and Ethan. Grace told you that it is not the case that (Ethan is a pioneer if and only if Oliver is a laggard). Ol...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1619, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"tel...
{"split": "train", "index": 10509}
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 5 inhabitants: Matthew, Scarlett, Oliver, Amelia, and Joseph. Matthew expressed that (Scarlett is a sinner and Amelia is a sinner) or (Scarlett is a sinner). Scarle...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1620, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 4]], [\"telling-trut...
{"split": "train", "index": 10510}
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 5 inhabitants: Luke, Alexander, Emily, Amelia, and Ella. Luke expressed that (Alexander is an egoist and Amelia is an egoist and Ella is an altruist) or (Ella...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1621, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"lying\",...
{"split": "train", "index": 10511}
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 5 inhabitants: Jack, Luke, James, Alexander, and Ella. Jack was heard saying, \"(if Jack is a knight then Luke is a knave) and (Luke is a knight and Luke is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1622, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 1], ...
{"split": "train", "index": 10512}
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 5 inhabitants: Elizabeth, Jack, David, Michael, and Oliver. Elizabeth expressed that (Jack is a knight if and only if Oliver is a knight) or Michael is a knight or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1623, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\...
{"split": "train", "index": 10513}
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 5 inhabitants: Michael, Matthew, Joseph, Sebastian, and Ella. Michael stated, \"(Sebastian is a sinner or Joseph is a saint or Sebastian is a saint) or (Joseph is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1624, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\"...
{"split": "train", "index": 10514}
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 5 inhabitants: Victoria, David, Logan, Owen, and Jack. Victoria commented, \"Logan is a pioneer\". In a statement by David: \"Jack is a laggard\". According t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1625, \"statements\": [[\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", ...
{"split": "train", "index": 10515}
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 5 inhabitants: Sophia, Matthew, Emma, Luke, and Ava. Sophia was heard saying, \"(if Luke is a saint then Emma is a saint) or (Ava is a sinner if and only if Emma is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1626, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 0], [\"->\", [\"and\", [\"lyi...
{"split": "train", "index": 10516}
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 5 inhabitants: Victoria, Ella, Amelia, Olivia, and Emma. Victoria said that Amelia is a knave. As Ella put it, \"it is not the case that (Victoria is a knave or Oli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1627, \"statements\": [[\"lying\", 2], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"ly...
{"split": "train", "index": 10517}
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 5 inhabitants: Michael, Aria, Jack, Chloe, and Henry. Michael remarked, \"it is not the case that (Jack is a saint and Aria is a saint)\". Aria commented, \"if (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1628, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth...
{"split": "train", "index": 10518}
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 5 inhabitants: Liam, Henry, Emma, Grace, and Lily. Liam commented, \"Lily is a sinner if and only if (if Grace is a saint then Grace is a sinner)\". In a statement ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1629, \"statements\": [[\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\...
{"split": "train", "index": 10519}
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 5 inhabitants: Grace, Ava, Evelyn, Sophia, and Michael. \"(Michael is a saint) and (Evelyn is a sinner and Sophia is a saint and Michael is a sinner)\" - Grace. Ava...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1630, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\"...
{"split": "train", "index": 10520}
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 5 inhabitants: Amelia, Owen, Henry, Mason, and Samuel. Amelia noted, \"if (if Mason is a laggard then Henry is a laggard) then (Owen is a laggard and Henry is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1631, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3],...
{"split": "train", "index": 10521}
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 5 inhabitants: Ava, Amelia, Olivia, Sophia, and Elizabeth. Ava told you that if Amelia is a pioneer then (Olivia is a pioneer and Sophia is a laggard). In Ame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1632, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 1], [\"<=>\", [\"not\", [\"te...
{"split": "train", "index": 10522}
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 5 inhabitants: Noah, Joseph, Ethan, Aiden, and Emma. \"if (if Emma is a sage then Aiden is a sage) then Joseph is a fool\" - Noah. \"(if Emma is a sage then Aiden is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1633, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 1]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth...
{"split": "train", "index": 10523}
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 5 inhabitants: Matthew, Victoria, Logan, Mason, and Liam. Matthew told you that (Logan is a laggard if and only if Mason is a laggard) if and only if (Matthew...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1634, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]...
{"split": "train", "index": 10524}
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 5 inhabitants: Benjamin, Penelope, Sebastian, Victoria, and Mia. \"Victoria is a fool,\" Benjamin declared. \"it is not the case that (Benjamin is a sage or Victoria is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1635, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0...
{"split": "train", "index": 10525}
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 5 inhabitants: Lily, Victoria, Aria, Elizabeth, and Samuel. Lily told you that it is not the case that (Victoria is a devil and Lily is an angel). In Victoria's words...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1636, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 0], [\...
{"split": "train", "index": 10526}
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 5 inhabitants: Jacob, David, Mason, Olivia, and Lucas. Jacob asserted: \"(David is a saint if and only if Olivia is a sinner) and (if Olivia is a sinner then Jacob ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1637, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 2]...
{"split": "train", "index": 10527}
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 5 inhabitants: Sofia, Charlotte, Sebastian, Emma, and Owen. As Sofia put it, \"it is not the case that (if Charlotte is an egoist then Owen is an egoist)\". \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1638, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-tru...
{"split": "train", "index": 10528}
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 5 inhabitants: Mason, Owen, Olivia, Penelope, and William. Mason told you that if (Olivia is an egoist) then (William is an egoist). \"if (Mason is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1639, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lyi...
{"split": "train", "index": 10529}
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 5 inhabitants: Victoria, Chloe, Zoey, Samuel, and Owen. Victoria expressed that Owen is a knave. Chloe stated, \"if (Samuel is a knave and Samuel is a knight and Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1640, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-trut...
{"split": "train", "index": 10530}
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 5 inhabitants: Emma, Matthew, Riley, Abigail, and Isabella. According to Emma, \"if (Isabella is an angel or Riley is an angel or Isabella is a devil) then Emma is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1641, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]], [\"<=>\"...
{"split": "train", "index": 10531}
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 5 inhabitants: Liam, Noah, Chloe, Jack, and Aiden. According to Liam, \"it is not the case that (Liam is a fool)\". Noah said, \"(Aiden is a fool or Noah is a sage) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1642, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"t...
{"split": "train", "index": 10532}
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 5 inhabitants: Ella, Avery, Grace, Aiden, and Owen. \"(Owen is a saint) if and only if Owen is a saint,\" Ella mentioned. \"(Aiden is a sinner) if and only if (Grac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1643, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]]...
{"split": "train", "index": 10533}
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 5 inhabitants: Zoey, Logan, James, Jacob, and Emma. In a statement by Zoey: \"Emma is a pioneer\". In Logan's words: \"(Jacob is a laggard if and only if Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1644, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\"...
{"split": "train", "index": 10534}
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 5 inhabitants: Daniel, Sebastian, Michael, Ava, and Noah. Daniel said, \"(if Sebastian is a pioneer then Noah is a pioneer) or (Daniel is a laggard).\" Sebast...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1645, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 4], ...
{"split": "train", "index": 10535}
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 5 inhabitants: Jackson, Noah, Ella, Aiden, and William. Jackson noted, \"it is not the case that (Noah is a laggard and William is a pioneer and William is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1646, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 0], [\"lying...
{"split": "train", "index": 10536}
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 5 inhabitants: Lucas, Matthew, Aiden, Elizabeth, and David. Lucas said, \"(if Elizabeth is a devil then Aiden is an angel) or (Elizabeth is a devil and Lucas is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1647, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 2], [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lyi...
{"split": "train", "index": 10537}
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 5 inhabitants: Oliver, Michael, James, Mia, and Elizabeth. In a statement by Oliver: \"Mia is a devil\". According to Michael, \"Elizabeth is a devil\". James stated,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1648, \"statements\": [[\"lying\", 3], [\"not\", [\"telling-truth\", 4]], [\"lying\", 0], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lyi...
{"split": "train", "index": 10538}
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 5 inhabitants: Sebastian, William, Daniel, Aurora, and Zoey. Sebastian remarked, \"William is a villain\". In William's words: \"if (Sebastian is a villain or Sebas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1649, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 4]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying...
{"split": "train", "index": 10539}
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 5 inhabitants: Jackson, David, Alexander, Noah, and Jack. Jackson asserted: \"Noah is a villain\". David remarked, \"(Jack is a villain and Noah is a villain) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1650, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2],...
{"split": "train", "index": 10540}
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 5 inhabitants: Daniel, Victoria, Lily, Samuel, and Penelope. Daniel expressed that (Victoria is a saint if and only if Lily is a saint) or (if Samuel is a saint the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1651, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 2],...
{"split": "train", "index": 10541}
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 5 inhabitants: Ethan, Daniel, Mia, Aiden, and Michael. \"if Mia is an altruist then (Michael is an egoist or Mia is an egoist),\" Ethan claimed. Daniel said t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1652, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-t...
{"split": "train", "index": 10542}
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 5 inhabitants: Oliver, Jacob, Joseph, Charlotte, and Ella. Oliver was heard saying, \"Joseph is a sage\". Jacob expressed that it is not the case that (Ella is a fool if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1653, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], \"solution\": [true...
{"split": "train", "index": 10543}
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 5 inhabitants: Jacob, Logan, Aiden, Avery, and Amelia. Jacob asserted: \"Jacob is a hero and (Jacob is a hero or Amelia is a villain or Aiden is a hero) and Avery i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1654, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying...
{"split": "train", "index": 10544}
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 5 inhabitants: Mia, Grace, Harper, Jack, and Sofia. Mia said that (Sofia is a villain and Jack is a villain) and (Sofia is a villain). Grace noted, \"if (Sofia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1655, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\...
{"split": "train", "index": 10545}
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 5 inhabitants: Charlotte, Sophia, Alexander, Abigail, and Samuel. In a statement by Charlotte: \"if (Samuel is a pioneer and Abigail is a pioneer and Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1656, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\"...
{"split": "train", "index": 10546}
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 5 inhabitants: Benjamin, Ethan, Grace, Mason, and Penelope. Benjamin said, \"(if Mason is a hero then Ethan is a hero) or (Mason is a villain and Grace is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1657, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"<=>\...
{"split": "train", "index": 10547}
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 5 inhabitants: Scarlett, Aurora, Evelyn, Elizabeth, and Sebastian. \"(Elizabeth is a devil) and (Aurora is a devil)\" - Scarlett. Aurora remarked, \"Sebastian is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1658, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telli...
{"split": "train", "index": 10548}
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 5 inhabitants: Owen, Aria, Aiden, Oliver, and Evelyn. \"(Aria is a hero and Owen is a hero) and (Evelyn is a villain if and only if Aiden is a hero) and (if Aiden i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1659, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 3]], [\"n...
{"split": "train", "index": 10549}
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 5 inhabitants: Scarlett, Liam, Ava, Alexander, and Grace. In a statement by Scarlett: \"(Liam is an altruist if and only if Ava is an altruist) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1660, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 0], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]],...
{"split": "train", "index": 10550}
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 5 inhabitants: Riley, Jackson, Sofia, Luke, and Lily. Riley told you that it is not the case that (Jackson is a sinner if and only if Riley is a saint). \"it is not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1661, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\",...
{"split": "train", "index": 10551}
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 5 inhabitants: Riley, Lucas, Emma, Aria, and Ella. Riley commented, \"Lucas is a fool\". Lucas said that (Emma is a fool and Emma is a sage and Lucas is a sage) and (Rile...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1662, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"l...
{"split": "train", "index": 10552}
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 5 inhabitants: Victoria, Charlotte, Ethan, Joseph, and Liam. Victoria told you that Charlotte is a laggard. Charlotte noted, \"it is not the case that (if Jos...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1663, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"t...
{"split": "train", "index": 10553}
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 5 inhabitants: Jacob, Mason, Logan, Harper, and Jackson. In Jacob's words: \"Harper is an egoist\". \"if (if Jackson is an altruist then Jacob is an egoist) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1664, \"statements\": [[\"lying\", 3], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\...
{"split": "train", "index": 10554}
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 5 inhabitants: Aurora, Noah, Luke, David, and Penelope. Aurora told you that it is not the case that (Penelope is a sage or Noah is a fool or David is a fool). Noah state...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1665, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 3],...
{"split": "train", "index": 10555}
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 5 inhabitants: Scarlett, Michael, William, Sebastian, and Jackson. \"William is a sinner if and only if (if Sebastian is a saint then Michael is a sinner)\" - Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1666, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"lying\", 4], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=...
{"split": "train", "index": 10556}
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 5 inhabitants: Amelia, Michael, Oliver, Benjamin, and Evelyn. Amelia told you that (Evelyn is a saint if and only if Benjamin is a saint) or (Benjamin is a saint or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1667, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"telli...
{"split": "train", "index": 10557}
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 5 inhabitants: Sofia, Jackson, Chloe, Emma, and Liam. In a statement by Sofia: \"if (if Chloe is a saint then Liam is a saint) then (Jackson is a sinner and Emma is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1668, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\"...
{"split": "train", "index": 10558}
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 5 inhabitants: Sofia, Evelyn, Abigail, William, and David. Sofia was heard saying, \"David is an angel\". \"if (David is a devil and Evelyn is an angel and Sofia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1669, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 3], [...
{"split": "train", "index": 10559}
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 5 inhabitants: Zoey, Mia, Logan, William, and Alexander. Zoey stated, \"if (if Alexander is a knight then Logan is a knight) then (William is a knight or Alexander ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1670, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 0],...
{"split": "train", "index": 10560}
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 5 inhabitants: David, Amelia, Abigail, Aiden, and Elizabeth. According to David, \"if (Amelia is a sinner and Amelia is a saint) then Elizabeth is a saint\". \"(Eli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1671, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"an...
{"split": "train", "index": 10561}
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 5 inhabitants: Jackson, Samuel, Liam, Harper, and David. In Jackson's words: \"David is an altruist if and only if (Liam is an altruist or Samuel is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1672, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"telling-truth\", 3], [\"->\"...
{"split": "train", "index": 10562}
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 5 inhabitants: Luke, Emma, Avery, William, and Daniel. Luke expressed that Daniel is an altruist or Avery is an egoist. Emma stated, \"it is not the case that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1673, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"lying\", 0], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-t...
{"split": "train", "index": 10563}
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 5 inhabitants: Jack, Noah, Scarlett, Joseph, and Ella. \"(if Noah is a fool then Joseph is a fool) or (Noah is a fool),\" Jack mentioned. \"if (Ella is a fool and Jack is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1674, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 10564}
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 5 inhabitants: Aurora, Ava, Aiden, Aria, and Scarlett. Aurora said that (Aiden is a hero) and (Aurora is a hero and Ava is a hero and Aiden is a hero). Ava told you...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1675, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"t...
{"split": "train", "index": 10565}
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 5 inhabitants: Penelope, Luke, Mia, Ella, and Avery. \"if (Avery is a sinner if and only if Mia is a sinner) then Avery is a sinner,\" Penelope mentioned. Luke told...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1676, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 0]], ...
{"split": "train", "index": 10566}
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 5 inhabitants: Scarlett, Daniel, Aiden, Grace, and Evelyn. As Scarlett put it, \"(Grace is a laggard) or (Evelyn is a laggard and Daniel is a pioneer and Dani...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1677, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"ly...
{"split": "train", "index": 10567}
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 5 inhabitants: Owen, Lucas, Scarlett, Henry, and Elizabeth. In a statement by Owen: \"(Lucas is a knave or Henry is a knight or Scarlett is a knave) and (if Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1678, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\...
{"split": "train", "index": 10568}
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 5 inhabitants: Joseph, Grace, Emily, Victoria, and David. \"(Emily is a knave or David is a knave) or (Emily is a knight if and only if Grace is a knight)\" - Josep...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1679, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"...
{"split": "train", "index": 10569}
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 5 inhabitants: Elizabeth, Mason, Sofia, Olivia, and Zoey. Elizabeth expressed that (Sofia is an altruist or Sofia is an egoist or Zoey is an altruist) or (Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1680, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], ...
{"split": "train", "index": 10570}
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 5 inhabitants: Zoey, Oliver, Ella, Aiden, and Grace. As Zoey put it, \"if (Zoey is a laggard) then (Grace is a laggard)\". Oliver stated, \"it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1681, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 10571}
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 5 inhabitants: Aiden, Aria, Abigail, Evelyn, and Grace. According to Aiden, \"Abigail is a sinner and (Aria is a sinner or Evelyn is a saint or Evelyn is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1682, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"tel...
{"split": "train", "index": 10572}
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 5 inhabitants: Logan, Aurora, Liam, Zoey, and Aria. Logan stated, \"(Aurora is a villain and Aria is a hero) and (Aurora is a villain) and (Zoey is a villain or Ari...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1683, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"l...
{"split": "train", "index": 10573}
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 5 inhabitants: James, Harper, David, Oliver, and Jacob. \"David is a knight\" - James. \"Oliver is a knave,\" Harper mentioned. In David's words: \"it is not the ca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1684, \"statements\": [[\"not\", [\"lying\", 2]], [\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 0]], [\"tel...
{"split": "train", "index": 10574}
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 5 inhabitants: Mason, Joseph, William, Emily, and Jack. Mason expressed that (Joseph is a saint if and only if William is a saint) and (William is a sinner and Jose...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1685, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"or...
{"split": "train", "index": 10575}
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 5 inhabitants: Aria, Michael, Zoey, Ella, and Jacob. \"(Ella is an angel and Aria is an angel) and (Michael is an angel and Michael is a devil),\" Aria declared. In M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1686, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]],...
{"split": "train", "index": 10576}
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 5 inhabitants: Grace, Alexander, Jacob, Victoria, and Amelia. As Grace put it, \"(Jacob is a villain) or (if Victoria is a villain then Victoria is a hero)\". \"(Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1687, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"a...
{"split": "train", "index": 10577}
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 5 inhabitants: Samuel, Jacob, Ava, Noah, and Owen. \"it is not the case that (Noah is a laggard)\" - Samuel. In Jacob's words: \"(if Noah is a laggard then Sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"lying\", 4]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\...
{"split": "train", "index": 10578}
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 5 inhabitants: Oliver, Sophia, Emily, Ella, and Jackson. Oliver said, \"Emily is an egoist.\" In a statement by Sophia: \"Sophia is an altruist\". In a statem...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"lying\", 2], [\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"lying\", 2], [\...
{"split": "train", "index": 10579}
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 5 inhabitants: Harper, Aria, Mia, Ella, and Joseph. Harper asserted: \"Mia is a laggard\". Aria asserted: \"Harper is a pioneer\". In Mia's words: \"(Aria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"lying\", 2], [\"not\", [\"lying\", 0]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"te...
{"split": "train", "index": 10580}
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 5 inhabitants: James, Abigail, Chloe, Sebastian, and Samuel. James commented, \"(if Samuel is an altruist then Chloe is an egoist) if and only if (if Abigail ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"telling-tru...
{"split": "train", "index": 10581}
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 5 inhabitants: Oliver, Abigail, Grace, Emily, and Luke. Oliver expressed that Oliver is a sage and (Emily is a fool or Grace is a fool or Abigail is a sage) and (Grace is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-trut...
{"split": "train", "index": 10582}
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 5 inhabitants: Emily, Riley, Alexander, Elizabeth, and Penelope. As Emily put it, \"it is not the case that (Elizabeth is a sage or Riley is a fool or Riley is a sage)\"....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\"...
{"split": "train", "index": 10583}
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 5 inhabitants: Samuel, Scarlett, Aiden, Liam, and Emma. Samuel told you that it is not the case that (Liam is a sage and Emma is a fool). \"(Liam is a sage or Emma is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->\", [\"or\", [\"...
{"split": "train", "index": 10584}
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 5 inhabitants: Benjamin, Penelope, Henry, Lily, and Evelyn. Benjamin noted, \"if (Penelope is a knight or Lily is a knight) then (Lily is a knight or Evelyn is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\",...
{"split": "train", "index": 10585}
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 5 inhabitants: Joseph, Aurora, Abigail, Riley, and Mia. In Joseph's words: \"if (Aurora is an altruist and Mia is an egoist) then (Aurora is an altruist or Jo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], ...
{"split": "train", "index": 10586}
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 5 inhabitants: Lucas, Jacob, Aiden, James, and Grace. Lucas said, \"(if James is a villain then Aiden is a villain) and (Jacob is a hero if and only if Lucas is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-tr...
{"split": "train", "index": 10587}
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 5 inhabitants: Abigail, Charlotte, Evelyn, Sophia, and Lily. Abigail stated, \"(Sophia is a fool) or Evelyn is a fool\". Charlotte remarked, \"it is not the case that (Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 2]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"t...
{"split": "train", "index": 10588}
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 5 inhabitants: David, Grace, Scarlett, Jackson, and Daniel. David said that Daniel is an egoist. Grace was heard saying, \"Scarlett is an altruist\". Scarlett...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"lying\", 4], [\"telling-truth\", 2], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 0]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", ...
{"split": "train", "index": 10589}
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 5 inhabitants: James, Sebastian, Olivia, Oliver, and Lily. James was heard saying, \"(if Oliver is a knave then James is a knight) if and only if Olivia is a knave\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"ly...
{"split": "train", "index": 10590}
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 5 inhabitants: Ella, Evelyn, Riley, Henry, and Jacob. In a statement by Ella: \"(Henry is an egoist) if and only if (Evelyn is an altruist if and only if Henr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"lying\", 0], [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", ...
{"split": "train", "index": 10591}
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 5 inhabitants: Sofia, James, Sebastian, Luke, and Emily. In Sofia's words: \"Luke is a sage or James is a sage or (Emily is a sage and James is a fool and Sebastian is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\",...
{"split": "train", "index": 10592}
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 5 inhabitants: Elizabeth, Evelyn, Aria, Harper, and David. Elizabeth noted, \"(Evelyn is a villain and David is a hero) if and only if (Aria is a hero or Harper is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2...
{"split": "train", "index": 10593}
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 5 inhabitants: Zoey, Lucas, Emma, Joseph, and Aiden. Zoey was heard saying, \"if (Aiden is an altruist if and only if Aiden is an egoist) then (Lucas is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"tell...
{"split": "train", "index": 10594}
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 5 inhabitants: Chloe, Mason, Riley, Charlotte, and Isabella. Chloe said, \"(if Mason is a pioneer then Charlotte is a laggard) and (Chloe is a pioneer or Char...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\",...
{"split": "train", "index": 10595}
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 5 inhabitants: Alexander, Joseph, Michael, Evelyn, and Noah. \"Noah is a sage or (if Alexander is a sage then Michael is a sage) or (if Evelyn is a fool then Evelyn is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 4], [...
{"split": "train", "index": 10596}
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 5 inhabitants: Jacob, Joseph, Evelyn, Zoey, and James. \"(if Evelyn is a hero then Zoey is a villain) and (Zoey is a hero if and only if Zoey is a villain) and (Zoe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3...
{"split": "train", "index": 10597}
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 5 inhabitants: David, James, Lucas, Riley, and Michael. In David's words: \"(if James is a knight then James is a knave) or (Lucas is a knight if and only if Riley ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lyin...
{"split": "train", "index": 10598}
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 5 inhabitants: Joseph, Jackson, Ava, Aurora, and Harper. Joseph asserted: \"(Jackson is a sage or Joseph is a sage) if and only if (Jackson is a fool and Ava is a fool)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]]...
{"split": "train", "index": 10599}