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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: Logan, Aurora, Jackson, Chloe, and Owen. Logan commented, \"Jackson is a sage\". Aurora said, \"if Jackson is a sage then (if Logan is a sage then Owen is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 0]], ...
{"split": "train", "index": 8100}
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: Mia, Zoey, Isabella, Jack, and Amelia. Mia commented, \"(if Zoey is a devil then Mia is an angel) and (Zoey is an angel)\". Zoey expressed that it is n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\...
{"split": "train", "index": 8101}
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: Evelyn, Aurora, Grace, James, and Sebastian. Evelyn expressed that Sebastian is a villain or (Grace is a villain or Evelyn is a hero). Aurora remarke...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 0],...
{"split": "train", "index": 8102}
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, Aria, Jack, Penelope, and Sophia. As Daniel put it, \"(Penelope is a laggard if and only if Sophia is a laggard) and (Jack is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3...
{"split": "train", "index": 8103}
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, Logan, Emma, Aurora, and Evelyn. Oliver noted, \"it is not the case that (Logan is an angel or Oliver is an angel)\". Logan expressed that Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 0], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [...
{"split": "train", "index": 8104}
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: Avery, Logan, Chloe, Jackson, and Evelyn. \"(if Chloe is a saint then Evelyn is a saint) or (Jackson is a saint and Jackson is a sinner),\" Avery dec...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\...
{"split": "train", "index": 8105}
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: Owen, Chloe, Liam, Emily, and Joseph. In Owen's words: \"Liam is a laggard and (Liam is a laggard or Emily is a pioneer)\". \"if Owen is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 4], [\"tell...
{"split": "train", "index": 8106}
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: Ethan, Daniel, Scarlett, Michael, and Jack. In Ethan's words: \"if (Scarlett is a fool) then (if Daniel is a sage then Scarlett is a fool)\". Daniel told y...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->...
{"split": "train", "index": 8107}
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, David, Daniel, Sebastian, and Riley. In a statement by Benjamin: \"(Sebastian is a villain or Daniel is a hero) if and only if (Daniel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"tel...
{"split": "train", "index": 8108}
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, Grace, Samuel, Aria, and Ethan. Matthew commented, \"(Grace is a pioneer and Aria is a laggard) and (Aria is a laggard and Samuel is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-tr...
{"split": "train", "index": 8109}
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: Isabella, Luke, Jack, William, and Samuel. Isabella commented, \"it is not the case that (Isabella is a pioneer and William is a pioneer)\". In...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"an...
{"split": "train", "index": 8110}
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, Jacob, Riley, Alexander, and Aiden. \"(Aiden is a knave and Jacob is a knave) or (if Alexander is a knave then Jacob is a knight),\" Benjam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-trut...
{"split": "train", "index": 8111}
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: Riley, Joseph, Ella, Michael, and William. \"Joseph is a knave\" - Riley. \"William is a knave,\" Joseph declared. Ella said that (Joseph is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"lying\", 1], [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 0]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], ...
{"split": "train", "index": 8112}
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, Michael, Charlotte, Penelope, and Ava. As Grace put it, \"(Ava is a pioneer) or (Charlotte is a laggard or Penelope is a laggard)\". Mic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth...
{"split": "train", "index": 8113}
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: Ava, Penelope, Logan, Ethan, and Lucas. Ava noted, \"it is not the case that (Penelope is a hero)\". Penelope said, \"if (Logan is a hero or Ava is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\",...
{"split": "train", "index": 8114}
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, Amelia, Chloe, Ethan, and Mason. Ella remarked, \"if (Ella is an altruist if and only if Chloe is an egoist) then (Ethan is an altruist a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]...
{"split": "train", "index": 8115}
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: Chloe, Ava, Matthew, Mia, and Lucas. Chloe commented, \"it is not the case that (Chloe is a saint if and only if Mia is a saint)\". Ava said, \"(if M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\...
{"split": "train", "index": 8116}
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: Ava, David, Daniel, Zoey, and Amelia. Ava was heard saying, \"(David is a saint if and only if Daniel is a sinner) or (Daniel is a saint if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 1], [\"telling-truth...
{"split": "train", "index": 8117}
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: Zoey, Avery, Joseph, Matthew, and Ethan. In a statement by Zoey: \"Matthew is a sage\". \"(Ethan is a sage and Joseph is a sage) or Matthew is a fool,\" Av...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 3]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\...
{"split": "train", "index": 8118}
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: Daniel, Elizabeth, Benjamin, Ethan, and Michael. Daniel commented, \"Benjamin is a hero or Michael is a hero\". In a statement by Elizabeth: \"(Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"te...
{"split": "train", "index": 8119}
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: Avery, Zoey, Aria, Scarlett, and Jacob. In a statement by Avery: \"(Jacob is an angel if and only if Aria is an angel) and (Avery is a devil)\". Zoey s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\"...
{"split": "train", "index": 8120}
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: Amelia, Ava, Abigail, Henry, and Joseph. \"(if Joseph is a knave then Amelia is a knight) if and only if (if Amelia is a knight then Henry is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"or\...
{"split": "train", "index": 8121}
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, Sophia, Alexander, Aria, and Evelyn. \"(if Evelyn is a fool then Aria is a sage) if and only if (Riley is a sage and Alexander is a sage),\" Riley d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 2], [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]], [\"no...
{"split": "train", "index": 8122}
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, Jackson, Evelyn, Logan, and Elizabeth. Oliver noted, \"if (Evelyn is a saint if and only if Elizabeth is a saint) then Logan is a saint\". In...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"...
{"split": "train", "index": 8123}
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: Daniel, Logan, Grace, Henry, and Joseph. Daniel remarked, \"(if Joseph is a knight then Logan is a knight) and (Joseph is a knight and Henry is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"lying\", 4]...
{"split": "train", "index": 8124}
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: Alexander, Penelope, William, Michael, and Matthew. Alexander commented, \"(Michael is a laggard and William is a pioneer) and (William is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and...
{"split": "train", "index": 8125}
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, Matthew, Riley, Victoria, and Chloe. Aria expressed that if Riley is an angel then (Victoria is an angel). Matthew noted, \"(if Matthew is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 4], [\"or\", [\"->\", [\"telling-t...
{"split": "train", "index": 8126}
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: Ava, Noah, Abigail, Benjamin, and Ethan. \"if (Noah is a knight and Ethan is a knight) then (Benjamin is a knight if and only if Abigail is a knight)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\...
{"split": "train", "index": 8127}
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: Elizabeth, Charlotte, Penelope, William, and Chloe. In a statement by Elizabeth: \"if (Elizabeth is an angel and Penelope is an angel) then William is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 3]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-tru...
{"split": "train", "index": 8128}
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: Emma, Lily, Ava, Avery, and Noah. \"(Lily is an altruist and Avery is an altruist) if and only if (if Ava is an altruist then Lily is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"<=>\", [...
{"split": "train", "index": 8129}
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: Isabella, Joseph, Sophia, Benjamin, and Aiden. In a statement by Isabella: \"it is not the case that (Aiden is a knight if and only if Sophia is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"lying\", 1], [\"not\", [\...
{"split": "train", "index": 8130}
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: Emily, Oliver, Ethan, Daniel, and Avery. Emily commented, \"it is not the case that (if Emily is a saint then Oliver is a sinner)\". In Oliver's word...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 8131}
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, Logan, Sophia, Aiden, and William. \"William is a fool if and only if (William is a fool if and only if Sophia is a sage)\" - Abigail. As Logan pu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"tel...
{"split": "train", "index": 8132}
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, Grace, Victoria, Daniel, and Liam. \"(if Daniel is a saint then Victoria is a saint) if and only if (Liam is a saint and Grace is a saint),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"tel...
{"split": "train", "index": 8133}
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: Michael, Owen, David, Ethan, and Jack. As Michael put it, \"it is not the case that (David is an angel and Ethan is an angel)\". Owen said, \"if (Ethan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"not\", [...
{"split": "train", "index": 8134}
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: Scarlett, Sebastian, Aurora, Jacob, and Sofia. Scarlett asserted: \"(Sebastian is a fool if and only if Sofia is a sage) and (Sebastian is a fool or Jacob ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3...
{"split": "train", "index": 8135}
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, Scarlett, Jacob, Ella, and Lucas. Victoria expressed that it is not the case that (if Victoria is a knight then Scarlett is a knave). Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"telling-truth\...
{"split": "train", "index": 8136}
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: Scarlett, William, Avery, David, and Daniel. Scarlett expressed that William is a knave. William remarked, \"it is not the case that (if Avery is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\...
{"split": "train", "index": 8137}
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, Luke, Ethan, David, and Grace. According to Victoria, \"(David is a pioneer if and only if David is a laggard) and (Ethan is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"lyi...
{"split": "train", "index": 8138}
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, Charlotte, Joseph, Olivia, and Jack. In Scarlett's words: \"(if Joseph is a pioneer then Jack is a pioneer) and (Charlotte is a pione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"an...
{"split": "train", "index": 8139}
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: Olivia, Harper, Elizabeth, Samuel, and Aiden. Olivia was heard saying, \"(Samuel is a saint or Harper is a sinner) and (Aiden is a saint and Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 2]], [\"->\...
{"split": "train", "index": 8140}
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: Sophia, Harper, Jack, Luke, and Jackson. Sophia was heard saying, \"it is not the case that (Harper is a knight)\". In a statement by Harper: \"(Soph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\...
{"split": "train", "index": 8141}
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: Alexander, Grace, Scarlett, Abigail, and Chloe. Alexander asserted: \"(Grace is a knight or Alexander is a knight) and Abigail is a knight\". In Grac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"lying\", 2], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=...
{"split": "train", "index": 8142}
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: Emily, Matthew, Lucas, Riley, and Emma. Emily asserted: \"if Emma is an altruist then Emily is an altruist\". Matthew remarked, \"(if Matthew i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<...
{"split": "train", "index": 8143}
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, Mason, Emma, Sofia, and Ava. Joseph remarked, \"(Mason is a fool or Ava is a fool) if and only if Mason is a fool\". \"(Sofia is a fool if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 1]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [...
{"split": "train", "index": 8144}
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: Chloe, Sofia, Jacob, Mia, and Emma. Chloe expressed that if Sofia is a sinner then (Jacob is a saint if and only if Sofia is a saint). Sofia stated, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]]...
{"split": "train", "index": 8145}
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: Luke, Aurora, Aria, Ella, and Harper. Luke told you that Luke is a hero. Aurora commented, \"Harper is a villain\". Aria expressed that Luke is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"l...
{"split": "train", "index": 8146}
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: Sophia, Isabella, Aiden, Aurora, and Elizabeth. Sophia stated, \"if (if Aurora is an egoist then Isabella is an egoist) then (Elizabeth is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"lying\", 3], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"lying\", 0], ...
{"split": "train", "index": 8147}
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, Oliver, Henry, Jack, and Emily. As Scarlett put it, \"(Oliver is a sinner if and only if Jack is a sinner) if and only if Oliver is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"ly...
{"split": "train", "index": 8148}
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: David, Benjamin, Sofia, Emma, and Isabella. David remarked, \"it is not the case that (Emma is a hero and Sofia is a hero)\". Benjamin commented, \"E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 3], [\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth...
{"split": "train", "index": 8149}
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: Owen, Oliver, Luke, Abigail, and Riley. Owen told you that (Riley is an angel and Owen is an angel) if and only if (Riley is an angel if and only if Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"lying\", 0]...
{"split": "train", "index": 8150}
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, Owen, Henry, Ethan, and Daniel. According to Michael, \"Ethan is a sinner\". As Owen put it, \"if (Michael is a saint and Daniel is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lyi...
{"split": "train", "index": 8151}
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: Sebastian, Emily, Luke, Oliver, and Victoria. Sebastian was heard saying, \"Emily is an angel if and only if (Victoria is a devil)\". In a statement by...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 8152}
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: Grace, Abigail, William, Ella, and Samuel. Grace asserted: \"Grace is a knight and (Abigail is a knight and Ella is a knave)\". \"(William is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\...
{"split": "train", "index": 8153}
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, Lucas, William, Emma, and Sophia. \"(Lucas is a hero or Lucas is a villain) if and only if (Lucas is a hero if and only if Emma is a hero)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 1], [...
{"split": "train", "index": 8154}
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, Aiden, Matthew, Isabella, and Sebastian. \"(Isabella is a pioneer) if and only if (Isabella is a pioneer if and only if Matthew is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\...
{"split": "train", "index": 8155}
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: Zoey, Ava, Avery, Luke, and Emily. Zoey expressed that (Zoey is a fool) or (if Luke is a fool then Emily is a fool). Ava said, \"Avery is a sage.\" Avery s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]...
{"split": "train", "index": 8156}
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: Henry, Aurora, Victoria, Olivia, and William. Henry noted, \"(Aurora is a laggard) or (Aurora is a pioneer)\". Aurora asserted: \"Henry is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 1], [\"<=>\", [\"or\", [\"telling-...
{"split": "train", "index": 8157}
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, Joseph, Sophia, William, and Benjamin. \"(William is a knave if and only if Sophia is a knight) and (Sophia is a knight if and only if Vict...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 0]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [...
{"split": "train", "index": 8158}
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, Avery, Owen, Abigail, and Aurora. Ella remarked, \"if (Avery is an egoist or Avery is an altruist) then Avery is an altruist\". \"Aurora ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 3], [\"<=>\", [\"tell...
{"split": "train", "index": 8159}
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, James, Scarlett, Benjamin, and Logan. Aiden stated, \"(if Scarlett is a pioneer then James is a laggard) and (Scarlett is a pioneer and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4]]...
{"split": "train", "index": 8160}
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: Logan, Aurora, Sebastian, Liam, and Sophia. According to Logan, \"Sebastian is a pioneer and (Liam is a pioneer)\". Aurora expressed that Auror...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]],...
{"split": "train", "index": 8161}
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: Aurora, Sophia, Elizabeth, Abigail, and Sofia. Aurora commented, \"if (Elizabeth is a saint if and only if Abigail is a saint) then (if Abigail is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"tellin...
{"split": "train", "index": 8162}
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: Logan, Michael, Jackson, Henry, and Victoria. Logan expressed that Victoria is an altruist. In Michael's words: \"Jackson is an altruist if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"...
{"split": "train", "index": 8163}
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: Riley, Matthew, Joseph, Oliver, and Jacob. Riley was heard saying, \"(Jacob is a laggard or Matthew is a laggard) or Oliver is a laggard\". \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 3]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"t...
{"split": "train", "index": 8164}
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: Ethan, Sebastian, Harper, Avery, and Alexander. In a statement by Ethan: \"it is not the case that (Sebastian is a pioneer)\". \"if (Ethan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [...
{"split": "train", "index": 8165}
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, Riley, Lucas, Victoria, and Mia. Matthew stated, \"(Mia is a pioneer) and (Mia is a pioneer and Victoria is a laggard)\". Riley said t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", ...
{"split": "train", "index": 8166}
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: Sophia, Mia, Michael, Emily, and Harper. Sophia said that it is not the case that (Michael is a laggard). \"if (Mia is a pioneer and Emily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"...
{"split": "train", "index": 8167}
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: Penelope, Jack, Ethan, Samuel, and David. Penelope remarked, \"(David is an altruist if and only if Samuel is an egoist) and (Samuel is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"...
{"split": "train", "index": 8168}
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: James, Ava, Chloe, Emma, and Olivia. James commented, \"if Ava is a sinner then (if Chloe is a sinner then Ava is a saint)\". \"(Emma is a sinner and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"->\", [\"lying\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"lying\", 3], [\"lyin...
{"split": "train", "index": 8169}
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: Liam, Samuel, William, Sophia, and Avery. Liam stated, \"Sophia is a knave\". Samuel asserted: \"Avery is a knave\". William expressed that Sophia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"lying\", 3], [\"lying\", 4], [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2],...
{"split": "train", "index": 8170}
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: Luke, Chloe, Harper, Abigail, and Jacob. Luke stated, \"if (Harper is a hero if and only if Luke is a hero) then Chloe is a villain\". \"(Harper is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"no...
{"split": "train", "index": 8171}
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: Sebastian, Jacob, Jack, Noah, and Benjamin. Sebastian remarked, \"if (Noah is an angel or Noah is a devil) then (Sebastian is an angel or Noah is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2],...
{"split": "train", "index": 8172}
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, Scarlett, Aurora, Isabella, and Benjamin. \"Oliver is a sage,\" Oliver claimed. Scarlett noted, \"Isabella is a sage or (Oliver is a sage if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"tell...
{"split": "train", "index": 8173}
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: Benjamin, Logan, Aurora, Olivia, and Mia. Benjamin noted, \"it is not the case that (Logan is an egoist or Aurora is an altruist)\". \"(Mia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"...
{"split": "train", "index": 8174}
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: Zoey, Benjamin, Ethan, Joseph, and William. Zoey noted, \"(if Ethan is a saint then Joseph is a sinner) and Joseph is a sinner\". \"Benjamin is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 3]], [\"telling-truth\", 1], [\"lying\", 3], [\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"tel...
{"split": "train", "index": 8175}
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: Evelyn, Ella, Samuel, Luke, and Liam. In Evelyn's words: \"if (Ella is an angel if and only if Liam is a devil) then (Samuel is a devil and Ella is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]...
{"split": "train", "index": 8176}
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: Jack, Jacob, Benjamin, Liam, and Penelope. As Jack put it, \"(Penelope is a villain) if and only if (Benjamin is a hero if and only if Jacob is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"lying\", 2], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-tru...
{"split": "train", "index": 8177}
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: Olivia, Penelope, Mia, Samuel, and Aria. \"(if Penelope is an angel then Aria is an angel) or Mia is a devil,\" Olivia claimed. \"(Samuel is an angel a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 2]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth...
{"split": "train", "index": 8178}
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: Isabella, Joseph, Jacob, Samuel, and Owen. Isabella said that (Isabella is a sage if and only if Jacob is a sage) if and only if (Joseph is a fool). \"Samu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"lying\", 3], [\"no...
{"split": "train", "index": 8179}
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, Evelyn, Owen, Matthew, and Scarlett. \"(Evelyn is a fool) and (Evelyn is a fool or Matthew is a sage)\" - Samuel. \"(if Matthew is a sage then Scar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 0]], [\"not\", [\"lying\", 1]], [\"o...
{"split": "train", "index": 8180}
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: Sophia, Michael, Jackson, Logan, and David. Sophia said that if (if David is a knave then David is a knight) then (Jackson is a knight or David is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lyi...
{"split": "train", "index": 8181}
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: Chloe, Oliver, Penelope, Olivia, and Logan. Chloe said, \"(Penelope is a hero) if and only if (Penelope is a villain or Logan is a villain).\" Oliver...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 4]]...
{"split": "train", "index": 8182}
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: Jackson, Chloe, Liam, Olivia, and James. According to Jackson, \"(Liam is a knave) or (if James is a knave then Olivia is a knave)\". \"(James is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [...
{"split": "train", "index": 8183}
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: Daniel, Joseph, Sebastian, Aurora, and Zoey. Daniel was heard saying, \"if (if Joseph is an egoist then Zoey is an altruist) then (if Joseph is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telli...
{"split": "train", "index": 8184}
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: Chloe, Charlotte, Liam, Riley, and Lucas. Chloe said, \"Lucas is a hero and (Liam is a hero or Riley is a villain).\" Charlotte asserted: \"if (if Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]],...
{"split": "train", "index": 8185}
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, Henry, Aurora, Sebastian, and Alexander. Grace commented, \"(if Sebastian is a laggard then Alexander is a pioneer) or (Sebastian is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0...
{"split": "train", "index": 8186}
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: Harper, Logan, Mason, Emma, and Abigail. Harper told you that (Logan is an altruist) or (if Emma is an egoist then Mason is an altruist). Logan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<...
{"split": "train", "index": 8187}
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: Harper, Sebastian, Jackson, Jacob, and Evelyn. In a statement by Harper: \"Evelyn is an altruist and (Sebastian is an altruist if and only if J...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 4], [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 0], ...
{"split": "train", "index": 8188}
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: Samuel, Charlotte, Jackson, Henry, and Grace. \"it is not the case that (if Jackson is an altruist then Grace is an altruist),\" Samuel declare...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\"...
{"split": "train", "index": 8189}
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: Abigail, Benjamin, Luke, Penelope, and Olivia. Abigail noted, \"if (Benjamin is a pioneer) then (Benjamin is a pioneer and Penelope is a pionee...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\...
{"split": "train", "index": 8190}
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: Owen, Lucas, Isabella, Grace, and Luke. Owen stated, \"it is not the case that (Lucas is an angel if and only if Lucas is a devil)\". Lucas asserted: \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"...
{"split": "train", "index": 8191}
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: Luke, Isabella, Daniel, William, and Matthew. Luke remarked, \"if (Daniel is a hero and Luke is a hero) then (William is a villain or William is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 3]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-tru...
{"split": "train", "index": 8192}
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: Avery, Emma, Lucas, Chloe, and William. \"it is not the case that (Chloe is a hero if and only if Emma is a villain),\" Avery mentioned. Emma was hea...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-t...
{"split": "train", "index": 8193}
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, Scarlett, Olivia, Isabella, and Amelia. Joseph told you that (Joseph is an altruist or Amelia is an egoist) or Scarlett is an egoist. S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-...
{"split": "train", "index": 8194}
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: Amelia, Harper, Aurora, Samuel, and Sebastian. As Amelia put it, \"(Sebastian is a sage and Samuel is a sage) if and only if (Sebastian is a sage or Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"lying\", 2], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\...
{"split": "train", "index": 8195}
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: Henry, Emma, Sophia, Grace, and Jacob. In Henry's words: \"(Grace is a hero if and only if Sophia is a villain) and (if Jacob is a hero then Sophia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-tru...
{"split": "train", "index": 8196}
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: Penelope, Michael, Sophia, Chloe, and Zoey. Penelope was heard saying, \"it is not the case that (Zoey is a knight)\". \"if (Penelope is a knave and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [...
{"split": "train", "index": 8197}
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, David, Zoey, Lily, and Logan. In Lucas's words: \"it is not the case that (if David is an angel then David is a devil)\". David remarked, \"it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\",...
{"split": "train", "index": 8198}
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, Jack, Evelyn, Ethan, and Samuel. Mason stated, \"Ethan is an egoist or Mason is an altruist\". \"if (Jack is an altruist and Ethan is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lyi...
{"split": "train", "index": 8199}