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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: James, Owen, Logan, Joseph, Charlotte, Evelyn, Oliver, Chloe, and Henry. James said that Joseph is a villain. \"if ((Oliver is a villain if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"and\", [\"telling-truth\", 5], [\"lying\", 0]]], [\"and\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 6]]], [\"not\", ...
{"split": "train", "index": 14400}
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: Riley, Jack, Ava, Scarlett, Ethan, Victoria, Samuel, Isabella, and Emma. Riley asserted: \"Emma is a sage\". Jack expressed that Ethan is a sage. Ava comme...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"telling-truth\", 8], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]], [\"not\", [\"lying\", 0...
{"split": "train", "index": 14401}
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: Riley, Lucas, Abigail, Aria, Harper, Logan, Joseph, Amelia, and Sofia. Riley noted, \"it is not the case that ((Harper is a fool) and (if Amelia is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"lying\", 6], [\"->\", [\"telling-truth\", 0], [\"lying\", 6]]], [\...
{"split": "train", "index": 14402}
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, Avery, Abigail, Elizabeth, Emma, Ella, Jackson, Alexander, and Daniel. Sofia asserted: \"((if Ella is a devil then Jackson is an angel) or Alexa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]], [\"lying\", 7]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8]]]], [\"telling-truth\", 8], [\"or\", [\"<=>\", [\"->...
{"split": "train", "index": 14403}
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, James, Olivia, Isabella, Mason, Charlotte, Zoey, Sebastian, and William. \"(it is not the case that (Mason is a fool)) and ((if Mason is a sage then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"not\", [\"lying\", 2]]]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"lyin...
{"split": "train", "index": 14404}
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: Elizabeth, Logan, Aiden, Avery, Owen, Mason, Mia, Aria, and Jack. According to Elizabeth, \"Aiden is a knight\". Logan commented, \"((Aiden is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"telling-tru...
{"split": "train", "index": 14405}
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: Daniel, Jackson, Mia, Luke, David, Elizabeth, Abigail, Penelope, and Sophia. Daniel commented, \"((Elizabeth is an altruist or Jackson is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 14406}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Chloe, Zoey, Liam, Logan, Sebastian, Harper, Owen, Avery, and David. Chloe asserted: \"it is not the case that (it is not the case that (Zoey is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\"...
{"split": "train", "index": 14407}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Emma, Avery, Aiden, Aria, Chloe, Aurora, Riley, and Harper. Matthew noted, \"(if (Chloe is a devil or Harper is a devil) then (if Harper is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 8]], [\"->\", [\"lying\", 8], [\"lying\", 5]]], [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"lying\", 3]]...
{"split": "train", "index": 14408}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, Zoey, Abigail, Amelia, Matthew, Sofia, Ava, Michael, and Penelope. Emma was heard saying, \"it is not the case that (Michael is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 5]]], ...
{"split": "train", "index": 14409}
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: Oliver, Henry, Grace, Amelia, Mia, Owen, Elizabeth, Jacob, and David. Oliver remarked, \"David is a knave if and only if (if (David is a knight if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"<=>\", [\"lying\", 8], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"or\", [\"lying\", 2], [\"lying\", 3]]]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\",...
{"split": "train", "index": 14410}
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, Chloe, Aiden, Jacob, Lucas, Aria, Mason, Emma, and Jackson. According to Amelia, \"Emma is a devil and (it is not the case that (Jackson is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"and\", [\"lying\", 7], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]]], [\"telling-truth\", 2], [\"or\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 7]]], [...
{"split": "train", "index": 14411}
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: Liam, William, Sophia, Zoey, Emma, Mason, Mia, Jack, and Grace. Liam remarked, \"Zoey is a devil\". \"((Mason is an angel if and only if Grace is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"not\", [\"te...
{"split": "train", "index": 14412}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emily, Victoria, Daniel, Ava, Benjamin, Michael, Sofia, Noah, and Matthew. Emily was heard saying, \"(Sofia is a laggard or (Sofia is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 7]]], [\"...
{"split": "train", "index": 14413}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Grace, Jackson, Oliver, Emily, Luke, Sophia, Penelope, Mia, and Henry. Grace remarked, \"((Penelope is a fool and Sophia is a fool) and (Sophia is a sage a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"lying\", 7]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth...
{"split": "train", "index": 14414}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sophia, Emily, William, Emma, Isabella, Zoey, Aria, Henry, and Scarlett. As Sophia put it, \"it is not the case that ((Emma is a sage) if and only if (if W...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"and\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 5...
{"split": "train", "index": 14415}
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, Chloe, Mason, Scarlett, Ethan, Sophia, Lily, Olivia, and Samuel. Aiden noted, \"it is not the case that ((if Samuel is a devil then Olivia is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\",...
{"split": "train", "index": 14416}
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: Luke, Jacob, Elizabeth, Grace, Aria, Ethan, Abigail, Ella, and Victoria. As Luke put it, \"(it is not the case that (Elizabeth is a hero if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]]], [\"not\", [\"not\", [\"not\", [\"tell...
{"split": "train", "index": 14417}
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: Lucas, Jacob, Charlotte, Logan, Lily, Scarlett, Luke, Zoey, and Emily. Lucas commented, \"if (it is not the case that (Zoey is a laggard if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\...
{"split": "train", "index": 14418}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aurora, Olivia, Ava, Emma, Penelope, Henry, Jack, Mia, and Daniel. As Aurora put it, \"(if (Mia is a laggard) then (Mia is a laggard or Daniel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]]], [...
{"split": "train", "index": 14419}
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: Sebastian, Liam, Riley, Abigail, Logan, Grace, Amelia, Avery, and Jackson. Sebastian expressed that Logan is an angel. \"if (it is not the case that (L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]]]], [...
{"split": "train", "index": 14420}
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: Amelia, Lily, Mason, Daniel, Aria, Emma, Elizabeth, Joseph, and David. Amelia asserted: \"((Emma is a laggard or Aria is a pioneer) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"lying\", 5]]], [\"lying\", 1]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", ...
{"split": "train", "index": 14421}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: William, Avery, Aria, Riley, Luke, Ethan, Owen, Mia, and Ella. William said that ((Aria is a knight or Ethan is a knight) and Riley is a knight) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]...
{"split": "train", "index": 14422}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sophia, Jacob, Olivia, Elizabeth, David, Amelia, Charlotte, Grace, and Michael. \"(it is not the case that (if Michael is a fool then Charlotte is a sage))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"telling-truth\", 6]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 14423}
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: Sophia, Riley, Mason, Samuel, Alexander, Amelia, Noah, Penelope, and Isabella. As Sophia put it, \"(if (Mason is a saint and Penelope is a sinner) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]], [\"not\", [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\",...
{"split": "train", "index": 14424}
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: Chloe, Evelyn, Mia, Victoria, Lucas, Aiden, Logan, Benjamin, and Abigail. Chloe said, \"if ((Lucas is a laggard or Victoria is a pioneer) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 7], [\"telling-trut...
{"split": "train", "index": 14425}
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: Amelia, Aria, Mason, Samuel, Abigail, Olivia, Joseph, James, and Ava. Amelia told you that it is not the case that (if (Mason is a sinner) then (if J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 6], [\"lying\", 1]]]], [\"lying\", 3], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 14426}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Mason, Noah, Grace, James, Benjamin, Lucas, Sebastian, and Ethan. Ava stated, \"((Ethan is a sage if and only if Ethan is a fool) or (Mason is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"...
{"split": "train", "index": 14427}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Ava, Joseph, Noah, Sophia, Michael, Harper, Lily, and William. Matthew was heard saying, \"Joseph is a devil\". As Ava put it, \"((Matthew is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"lyin...
{"split": "train", "index": 14428}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aurora, Penelope, Elizabeth, Mason, Aria, Ava, Victoria, Oliver, and Avery. \"if (it is not the case that (if Ava is an egoist then Avery is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]]]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\...
{"split": "train", "index": 14429}
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: Emily, Jack, Grace, Zoey, Henry, Ella, Isabella, Logan, and Daniel. As Emily put it, \"it is not the case that ((Logan is an altruist if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"or\", [\"lying\", 4], [\"lying\", 5]]], [...
{"split": "train", "index": 14430}
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: Alexander, James, Ava, Michael, Aiden, Aurora, Aria, Abigail, and Noah. As Alexander put it, \"Michael is a pioneer or ((if James is a pioneer ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]]], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", ...
{"split": "train", "index": 14431}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ethan, Jack, Owen, Matthew, Chloe, James, Amelia, Sebastian, and David. In a statement by Ethan: \"Matthew is a devil or (it is not the case that (Davi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 2]]]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"lying\", 7]], [\"or\", [\"and\", [\"telling-truth...
{"split": "train", "index": 14432}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Penelope, Harper, Aria, Evelyn, Ava, Charlotte, Aiden, and Joseph. According to Jacob, \"(it is not the case that (Penelope is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]]], [\"and\", [\"->\", ...
{"split": "train", "index": 14433}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emily, Henry, Isabella, Mia, Samuel, Abigail, Grace, Daniel, and Liam. \"(Liam is a laggard or (Daniel is a pioneer or Liam is a laggard)) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"and\", [\"or\", [\"lying\", 8], [\"or\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]]], [\"...
{"split": "train", "index": 14434}
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: Sophia, Mason, Zoey, Evelyn, Luke, Riley, William, Samuel, and Avery. In Sophia's words: \"Evelyn is a devil and ((Sophia is a devil) or (if Riley is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 5], [\"telling-truth\", 8]]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"->\", [\"lying\", 6], [\"telling-tr...
{"split": "train", "index": 14435}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aurora, Ava, Michael, Chloe, Owen, Aiden, Daniel, Noah, and Isabella. Aurora stated, \"Isabella is a pioneer\". Ava expressed that if (it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]]], [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 3], [\"lying\", 4]]]], [\"not\", [\"telling-truth\", 4]], [...
{"split": "train", "index": 14436}
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: Alexander, Penelope, Noah, Michael, Chloe, Luke, Ethan, Mia, and Liam. As Alexander put it, \"if (it is not the case that (if Luke is a knight then L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 7], [\"lying\", 1]]]], [\"lying\", 0], [\"or\", [\"lying\", 8...
{"split": "train", "index": 14437}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, Mason, Oliver, Liam, Henry, Mia, Ethan, Aurora, and Harper. In a statement by Emma: \"(it is not the case that (Oliver is a pioneer)) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"telling-truth...
{"split": "train", "index": 14438}
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: Liam, Logan, Jackson, Elizabeth, David, Sophia, Ella, Avery, and Jack. As Liam put it, \"(if (Elizabeth is a laggard if and only if David is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]], [\"<=>\", [\"lying\",...
{"split": "train", "index": 14439}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Abigail, Elizabeth, James, David, Charlotte, Olivia, Aurora, and Ella. \"if (Elizabeth is a villain if and only if (David is a hero or Eliz...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5]]]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [...
{"split": "train", "index": 14440}
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: Chloe, Jack, Jacob, Sebastian, Mia, Aiden, Aurora, Grace, and Isabella. Chloe asserted: \"((Isabella is an angel or Mia is an angel) if and only if (Ai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]...
{"split": "train", "index": 14441}
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: Chloe, Aria, Olivia, Lily, Mia, Sebastian, Avery, Mason, and David. Chloe said that ((Lily is a devil or Aria is a devil) or (Avery is an angel if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"or\", [\"lying\", 4]...
{"split": "train", "index": 14442}
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, Riley, Matthew, Ella, Alexander, Chloe, Aurora, Aiden, and Amelia. Harper was heard saying, \"Aurora is an angel\". Riley remarked, \"Aiden is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"telling-truth\", 6], [\"telling-truth\", 7], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 0],...
{"split": "train", "index": 14443}
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: Charlotte, Oliver, Lily, Samuel, Sofia, Lucas, Aria, Ella, and James. Charlotte commented, \"((Sofia is a devil or Ella is a devil) if and only if (Ari...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1110, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 2], [\"telling-truth\", 5]]]], [\"<=>\", ...
{"split": "train", "index": 14444}
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, Jackson, Emma, Emily, Victoria, Mason, Alexander, Lucas, and Logan. Noah was heard saying, \"if (if (Emily is a hero or Mason is a hero) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1111, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]], [\"->\", [\"lying\", 8], [\"lying\", 1]]...
{"split": "train", "index": 14445}
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: Sophia, Daniel, Olivia, Zoey, Ava, Victoria, Amelia, Penelope, and Joseph. Sophia was heard saying, \"((Joseph is a knave if and only if Olivia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1112, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 8]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"<=>\", [...
{"split": "train", "index": 14446}
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: Luke, Liam, Benjamin, Aiden, Elizabeth, Ava, Sophia, Mia, and Aurora. \"it is not the case that (it is not the case that (if Aiden is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1113, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\"not\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 8]]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 6],...
{"split": "train", "index": 14447}
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: Emma, Mason, Liam, David, Matthew, Evelyn, Joseph, Logan, and Jacob. Emma noted, \"(it is not the case that (Evelyn is an angel and Jacob is an angel))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1114, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"lying\", 3]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"or\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"a...
{"split": "train", "index": 14448}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, Ava, Jackson, Victoria, Elizabeth, Lily, Abigail, Grace, and Olivia. \"(it is not the case that (Abigail is a pioneer)) if and only if (A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1115, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 6]]], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\",...
{"split": "train", "index": 14449}
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, Sebastian, Scarlett, Alexander, Evelyn, Michael, Abigail, Amelia, and Jack. According to Avery, \"if (if (Michael is a pioneer or Abigai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1116, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"telling-truth\", 1]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"telling-truth\", 5]]]], [\"not...
{"split": "train", "index": 14450}
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: David, William, Henry, Matthew, Alexander, Sebastian, Avery, Owen, and Riley. David stated, \"Avery is a laggard\". William asserted: \"Henry i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1117, \"statements\": [[\"lying\", 6], [\"telling-truth\", 2], [\"or\", [\"lying\", 5], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"lyin...
{"split": "train", "index": 14451}
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: Daniel, Ava, Aurora, Elizabeth, Avery, Noah, Emma, Chloe, and Amelia. \"if (it is not the case that (Ava is a villain if and only if Avery is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1118, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3]], [\"or\", [\"lying\", 5], [\"lying\", 2]]]], [\"->\", [\"or\", [\"not\", [\"lying\...
{"split": "train", "index": 14452}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ethan, Isabella, Aurora, Owen, Olivia, Harper, Victoria, Aria, and Sebastian. Ethan expressed that Victoria is an angel or (if (Isabella is an angel an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1119, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"lying\", 8], [\"not\", [\"ly...
{"split": "train", "index": 14453}
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: Benjamin, Harper, Isabella, Liam, Oliver, Chloe, Mason, Emma, and Penelope. Benjamin noted, \"if (if (Mason is a devil and Chloe is a devil) then (Maso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1120, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 5]], [\"<=>\", [\"lying\", 6], [\"lying\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 5]], [\"lying\", 6]]], [\"not\", [\"or\", [...
{"split": "train", "index": 14454}
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: Jackson, Joseph, Penelope, Benjamin, Chloe, Emily, Aurora, Luke, and Mason. Jackson noted, \"((Aurora is a devil) and (Jackson is an angel or Luke is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1121, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"not\", [\"not\", [\"lying\", 5]]]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"tel...
{"split": "train", "index": 14455}
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: Grace, Aurora, Noah, Charlotte, Oliver, Matthew, William, Luke, and Samuel. According to Grace, \"it is not the case that ((Noah is a pioneer o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", ...
{"split": "train", "index": 14456}
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: Chloe, Riley, Olivia, Elizabeth, Jackson, Daniel, Alexander, Ethan, and Scarlett. \"(if Olivia is a knight then (if Riley is a knight then Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]]], [\"lying\", 0], [\"or\", [\"telling-truth\", 8]...
{"split": "train", "index": 14457}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Zoey, Jacob, Daniel, Jack, Mason, Michael, Emma, Sebastian, and Matthew. Zoey said that if ((Michael is an egoist) if and only if (if Daniel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", ...
{"split": "train", "index": 14458}
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: Riley, Jackson, Scarlett, Grace, Jacob, Olivia, James, Jack, and Ethan. \"Olivia is a fool\" - Riley. Jackson asserted: \"Scarlett is a sage\". In Scarlett...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"lying\", 5], [\"telling-truth\", 2], [\"telling-truth\", 6], [\"->\", [\"lying\", 5], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", ...
{"split": "train", "index": 14459}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Daniel, Evelyn, Sofia, Abigail, Henry, Aiden, Logan, Oliver, and Lily. As Daniel put it, \"Oliver is a knight\". Evelyn remarked, \"((Aiden is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"not\", [\"lying\", 7]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 7]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling...
{"split": "train", "index": 14460}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jackson, Mia, Sophia, Aurora, Evelyn, Benjamin, Joseph, Zoey, and Samuel. As Jackson put it, \"(it is not the case that (Joseph is a sage if and only if Ev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]]]], [\"<=>\", [\"telling-trut...
{"split": "train", "index": 14461}
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, Alexander, Amelia, Lily, Samuel, Sebastian, Penelope, William, and Chloe. As Owen put it, \"((Alexander is an egoist and Penelope is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 6]], [\"not\", [\"lying\", 8]]], [\"and\", [\"lying\", 7], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"->\", [\"<=>\", [\"and\", [\"lyi...
{"split": "train", "index": 14462}
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: Luke, Charlotte, Penelope, Ethan, Evelyn, Mason, Sebastian, Lucas, and Olivia. Luke noted, \"it is not the case that (if Olivia is a hero then Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 7], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"telling-truth\", 8]], [\"->\", [\"and...
{"split": "train", "index": 14463}
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: Isabella, Matthew, David, Jacob, Evelyn, Victoria, Olivia, Emma, and Ethan. \"(David is a laggard if and only if (Emma is a pioneer)) and (Matt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"not\", [\"lying\", 7]]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5]]]], [\"or\", [\"<=>\", [\"<=>\", [...
{"split": "train", "index": 14464}
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: Jackson, James, Sofia, Isabella, Abigail, Amelia, Olivia, Alexander, and Grace. Jackson was heard saying, \"if ((Jackson is a hero and Grace is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 6], [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 4]]], [\"<...
{"split": "train", "index": 14465}
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: Sofia, Sebastian, Ava, Michael, Lucas, Mia, Harper, Matthew, and Emily. Sofia remarked, \"it is not the case that (it is not the case that (if Matthew is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 0]]]], ...
{"split": "train", "index": 14466}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emily, Joseph, Samuel, Amelia, Harper, Michael, Sofia, Oliver, and Evelyn. Emily said, \"(Samuel is a pioneer) and ((Harper is a laggard and Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth...
{"split": "train", "index": 14467}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Riley, Victoria, Penelope, Isabella, Lucas, Jacob, William, Alexander, and Samuel. \"(Lucas is a laggard and (if Lucas is a laggard then Penelo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"->\", [\"<=>\", [\"->\", [\...
{"split": "train", "index": 14468}
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: Lucas, Victoria, Aiden, Sofia, James, Michael, Evelyn, Logan, and William. In a statement by Lucas: \"(Michael is a laggard) and ((Logan is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 5]]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 7]]...
{"split": "train", "index": 14469}
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: Oliver, Grace, James, Sofia, Mason, Ethan, Benjamin, Lucas, and Michael. \"it is not the case that (it is not the case that (Benjamin is a knight)),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 6]]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"lying\", 5]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\"...
{"split": "train", "index": 14470}
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: Evelyn, Benjamin, Matthew, Jacob, James, Jack, Elizabeth, Grace, and Liam. Evelyn expressed that if (if (Benjamin is a villain if and only if Matthew...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 8], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"telling-truth\", 7]]], [\"and...
{"split": "train", "index": 14471}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Riley, David, Alexander, Jackson, Evelyn, Lucas, Oliver, Grace, and Sofia. Riley expressed that (Riley is a pioneer or (if David is a laggard t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"lying\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"or\", [\"lying\", 7], [\"lying\", 4]]]], [\"not\...
{"split": "train", "index": 14472}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ethan, Alexander, Sophia, Scarlett, Matthew, Mason, Avery, Penelope, and Abigail. \"if (Ethan is an angel and (Alexander is an angel if and only if Mas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 2]], [\"<=>\", [\"lying\", 6], [\"lying\", 3]]]], [\"...
{"split": "train", "index": 14473}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aurora, Ella, Noah, Logan, Elizabeth, Luke, Benjamin, Evelyn, and Victoria. \"Benjamin is a laggard,\" Aurora claimed. Ella expressed that Benj...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"lying\", 6], [\"and\", [\"lying\", 6], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 5...
{"split": "train", "index": 14474}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Abigail, Joseph, Owen, Mia, Emma, Grace, Harper, Chloe, and Jackson. Abigail stated, \"((Abigail is an angel and Emma is a devil) or (Jackson is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 8], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3]]]], [\"->\", [\"or\", [\"->\", [...
{"split": "train", "index": 14475}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ava, Abigail, Victoria, Aiden, Benjamin, Lucas, Lily, Avery, and Matthew. As Ava put it, \"((Abigail is a sinner and Lily is a saint) or (Lucas is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]]]], [\"and\", [...
{"split": "train", "index": 14476}
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: Joseph, Amelia, Emma, Mason, Ethan, Ella, Matthew, Luke, and Abigail. \"(Abigail is an egoist if and only if (if Amelia is an egoist then Emma ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"and\", [\"lying\", 5], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\",...
{"split": "train", "index": 14477}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emily, Ava, Aria, Isabella, Sophia, Noah, Jackson, Sebastian, and Avery. Emily was heard saying, \"it is not the case that (if (if Noah is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1144, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"or\", [\"lying\", 5], [\"telling-truth\", 6]]], [\...
{"split": "train", "index": 14478}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lucas, Sophia, Elizabeth, James, Liam, Lily, Harper, Riley, and Alexander. Lucas noted, \"(Sophia is an egoist) or ((Alexander is an egoist) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1145, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 5]]]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\...
{"split": "train", "index": 14479}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lucas, Sofia, Aurora, Chloe, Logan, Elizabeth, David, Charlotte, and Victoria. Lucas remarked, \"if ((Sofia is an altruist or Victoria is an al...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1146, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-trut...
{"split": "train", "index": 14480}
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: William, Owen, Chloe, Lucas, Alexander, Logan, Henry, Sophia, and Joseph. William asserted: \"Chloe is a devil\". Owen asserted: \"Joseph is an angel o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1147, \"statements\": [[\"lying\", 2], [\"or\", [\"telling-truth\", 8], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 0]]]], [\"telling-truth\", 6], [\"and\", [\"lying\", 5], [\"tel...
{"split": "train", "index": 14481}
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: Ella, Abigail, Elizabeth, Samuel, Matthew, Sophia, Noah, Jackson, and Scarlett. Ella commented, \"Scarlett is a hero\". In a statement by Abigail: \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1148, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"tellin...
{"split": "train", "index": 14482}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Michael, Victoria, Ella, Emily, Lily, Penelope, Jackson, Liam, and Samuel. Michael stated, \"(if (Victoria is a hero or Jackson is a hero) then (Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1149, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-tr...
{"split": "train", "index": 14483}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Avery, Lucas, Daniel, Olivia, Charlotte, Sophia, Benjamin, Ella, and Emma. Avery was heard saying, \"it is not the case that (if (Daniel is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1150, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 5]], [\"lying\", 3]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 0]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"or\", [\"not\"...
{"split": "train", "index": 14484}
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, Abigail, Chloe, Harper, Samuel, Noah, Matthew, Liam, and Oliver. Avery noted, \"((Chloe is a saint if and only if Harper is a sinner) or (Samu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1151, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 4]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", ...
{"split": "train", "index": 14485}
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: Harper, Luke, Charlotte, Oliver, Isabella, Victoria, Ethan, Aurora, and Sebastian. \"it is not the case that ((Ethan is a villain if and only if Seba...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1152, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 0]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"tellin...
{"split": "train", "index": 14486}
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: Alexander, Emma, Michael, William, Logan, Matthew, Penelope, Lily, and Henry. In a statement by Alexander: \"(it is not the case that (Logan is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1153, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 6]]]], [\"telling-truth\", 4], [\"telling-truth\", 4], [\"a...
{"split": "train", "index": 14487}
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: Elizabeth, Luke, Aurora, Mason, Samuel, Michael, Ethan, Emma, and Ava. \"Luke is a knight,\" Elizabeth declared. Luke expressed that Samuel is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1154, \"statements\": [[\"telling-truth\", 1], [\"lying\", 4], [\"->\", [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 7]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]],...
{"split": "train", "index": 14488}
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, Isabella, Sophia, Olivia, Aiden, Jackson, Liam, Aria, and Oliver. Noah commented, \"if Aiden is a villain then Oliver is a hero\". Isabella not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1155, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"and\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"lying\", 4]], [\"not\", [\"->\", [\"not\", [\"telli...
{"split": "train", "index": 14489}
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: Matthew, Penelope, Aurora, Mason, Benjamin, Lucas, Liam, Emma, and Jackson. Matthew was heard saying, \"((Liam is a fool or Benjamin is a sage) or (Mason i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1156, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 5]], [\"or\", [\"lying\", 1], [\"ly...
{"split": "train", "index": 14490}
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: Sophia, Joseph, Benjamin, Jack, Evelyn, Emily, Alexander, Ella, and Avery. According to Sophia, \"Evelyn is an angel\". According to Joseph, \"Alexande...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1157, \"statements\": [[\"telling-truth\", 4], [\"lying\", 6], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"lying\", 4]]]], [\"telling-truth\", 2], [\"->\", [\"<=>\", [\"or\", [\"telling-t...
{"split": "train", "index": 14491}
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, Chloe, Henry, Charlotte, Oliver, Emily, Penelope, Alexander, and Owen. William said, \"if (it is not the case that (Owen is a sinner)) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1158, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 5]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\",...
{"split": "train", "index": 14492}
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, Ella, Ethan, Elizabeth, Lucas, Owen, David, Liam, and Sophia. \"if ((Ethan is a villain and Ella is a hero) or (Ella is a hero)) then (if (Gra...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1159, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 2]]], [\"and\", [\"->\", [...
{"split": "train", "index": 14493}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Penelope, Zoey, Jacob, James, Ava, Emily, Lucas, Mia, and Benjamin. As Penelope put it, \"it is not the case that (if (Jacob is a pioneer if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1160, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 3], [\"lying\", 8]]]], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", ...
{"split": "train", "index": 14494}
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, Benjamin, James, Emily, Alexander, Ella, Abigail, Amelia, and Michael. According to Jacob, \"if (if (if Benjamin is an angel then Ella is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1161, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]], [\"<=>\"...
{"split": "train", "index": 14495}
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, David, James, Ethan, Jackson, Riley, William, Noah, and Aurora. Lucas expressed that ((William is a villain or Aurora is a villain) and (Willi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1162, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"not\", [\"lying\", 6]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"te...
{"split": "train", "index": 14496}
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: Grace, Sebastian, Noah, Chloe, Michael, Penelope, Abigail, Jackson, and Jacob. \"if ((Chloe is a laggard) and (if Chloe is a pioneer then Penel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1163, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"not\", [\"lying\", 7]]]], [\"->\", [\"<=>\",...
{"split": "train", "index": 14497}
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, Evelyn, Luke, Lucas, Joseph, Riley, Isabella, Scarlett, and Aria. According to Ella, \"it is not the case that ((Riley is a sage and Riley is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1164, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 5]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\"...
{"split": "train", "index": 14498}
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, Emma, Riley, Penelope, Isabella, Joseph, Abigail, Aiden, and William. \"(if (Emma is a devil if and only if Abigail is an angel) then (Emma is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1165, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-...
{"split": "train", "index": 14499}