data_source
stringclasses
1 value
prompt
stringlengths
657
2.81k
ability
stringclasses
1 value
reward_model
stringlengths
1.3k
5.51k
extra_info
stringlengths
30
34
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: Jacob, Penelope, Victoria, Aria, and Elizabeth. \"if (Penelope is a laggard if and only if Aria is a laggard) then (Jacob is a pioneer or Penel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1210, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\...
{"split": "train", "index": 10100}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Elizabeth, Harper, William, and Emma. Amelia told you that Harper is a laggard. \"Emma is a pioneer if and only if (Harper is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1211, \"statements\": [[\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", ...
{"split": "train", "index": 10101}
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, Mia, Luke, Ella, and David. Zoey said that Ella is a sage if and only if (David is a sage or Ella is a sage or David is a fool). Mia expressed that i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1212, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-...
{"split": "train", "index": 10102}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Michael, Abigail, Aria, and Zoey. Amelia was heard saying, \"Aria is a laggard\". Michael said that (Aria is a pioneer if and only if M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1213, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-trut...
{"split": "train", "index": 10103}
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: Jacob, Amelia, Isabella, Sophia, and Mason. Jacob was heard saying, \"(if Isabella is a knight then Sophia is a knight) or (Isabella is a knight or S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1214, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\",...
{"split": "train", "index": 10104}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: James, Elizabeth, Mason, Henry, and Aurora. James noted, \"(Mason is an egoist if and only if Mason is an altruist) and (Elizabeth is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1215, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"l...
{"split": "train", "index": 10105}
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, Evelyn, Lucas, Mason, and Noah. According to Owen, \"(Owen is a pioneer and Evelyn is a laggard and Lucas is a laggard) or Lucas is a lag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1216, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 2]], [\"lying\", 2]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"->\...
{"split": "train", "index": 10106}
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, Jack, Logan, Aria, and Olivia. \"(Logan is an angel and Michael is an angel) if and only if (if Jack is a devil then Michael is an angel),\" M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1217, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4...
{"split": "train", "index": 10107}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Elizabeth, Alexander, Olivia, and Evelyn. Charlotte said, \"(Charlotte is a pioneer or Elizabeth is a pioneer or Alexander is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1218, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 4]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"tellin...
{"split": "train", "index": 10108}
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: Samuel, Lucas, Charlotte, Aria, and Jack. \"it is not the case that (if Aria is a hero then Charlotte is a villain),\" Samuel mentioned. Lucas noted,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1219, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 2]]], [\"not\", [\"<=...
{"split": "train", "index": 10109}
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, Jackson, Ethan, Jack, and Victoria. Benjamin told you that Jack is a knight. \"(Benjamin is a knight or Benjamin is a knave or Victoria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1220, \"statements\": [[\"not\", [\"lying\", 3]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-tr...
{"split": "train", "index": 10110}
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: Emily, Sophia, Charlotte, Luke, and Olivia. Emily remarked, \"(Charlotte is an angel or Sophia is an angel or Sophia is a devil) and (Sophia is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1221, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\"...
{"split": "train", "index": 10111}
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, Aurora, Avery, Olivia, and Mason. Chloe told you that (if Chloe is a saint then Aurora is a sinner) and (Olivia is a saint if and only if Auro...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1222, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", ...
{"split": "train", "index": 10112}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Owen, Mia, Benjamin, and Aiden. \"Owen is a sage,\" Liam claimed. Owen remarked, \"(Benjamin is a sage if and only if Aiden is a fool) or (Mia is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1223, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 0]...
{"split": "train", "index": 10113}
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: Lily, Abigail, Michael, Lucas, and Ava. According to Lily, \"(Lucas is a saint or Lily is a saint or Abigail is a saint) or (Abigail is a saint or Mi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1224, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", [\"te...
{"split": "train", "index": 10114}
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: Abigail, Evelyn, Harper, Liam, and Lily. \"it is not the case that (Lily is a sinner or Liam is a sinner),\" Abigail mentioned. \"if (Lily is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1225, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 2]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\"...
{"split": "train", "index": 10115}
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: Matthew, William, Mia, Amelia, and Scarlett. Matthew asserted: \"(Amelia is an angel and William is a devil) or (William is a devil and William is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1226, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 4]]], ...
{"split": "train", "index": 10116}
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: Mia, Ella, Olivia, Joseph, and Aurora. Mia told you that (Olivia is a saint or Ella is a saint or Joseph is a saint) or (Joseph is a sinner or Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1227, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"or\",...
{"split": "train", "index": 10117}
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: Jacob, Oliver, Matthew, Mia, and Benjamin. Jacob commented, \"Oliver is a sage\". As Oliver put it, \"it is not the case that (if Benjamin is a fool then M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1228, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"telling-truth...
{"split": "train", "index": 10118}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Samuel, Sofia, Zoey, Emma, and Amelia. Samuel commented, \"Emma is a pioneer\". Sofia expressed that if (if Amelia is a pioneer then Zoey is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1229, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"...
{"split": "train", "index": 10119}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Grace, Scarlett, Lucas, Aurora, and Evelyn. Grace asserted: \"Lucas is a villain\". In Scarlett's words: \"it is not the case that (if Grace is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1230, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"lying\", 3], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [...
{"split": "train", "index": 10120}
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: Aiden, Jackson, Lucas, Charlotte, and Benjamin. Aiden said, \"(Jackson is an angel) or (Lucas is a devil and Jackson is a devil).\" Jackson said, \"Ben...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1231, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 4], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [...
{"split": "train", "index": 10121}
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: Zoey, Ethan, Logan, Chloe, and Evelyn. In a statement by Zoey: \"(Evelyn is a devil and Ethan is a devil and Zoey is an angel) or (Chloe is an angel an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1232, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\"...
{"split": "train", "index": 10122}
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: Victoria, Luke, Elizabeth, Oliver, and Avery. Victoria said, \"(Luke is a hero or Elizabeth is a hero) if and only if Avery is a hero.\" Luke was hea...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1233, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"and\"...
{"split": "train", "index": 10123}
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: William, Chloe, Elizabeth, Penelope, and Scarlett. In William's words: \"(Penelope is an angel) and (William is an angel and Elizabeth is an angel and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1234, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]...
{"split": "train", "index": 10124}
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: Mia, Oliver, Emily, Elizabeth, and Ava. \"(if Oliver is a knave then Ava is a knight) and (Elizabeth is a knave or Elizabeth is a knight or Oliver is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1235, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 4], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [...
{"split": "train", "index": 10125}
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: Liam, Oliver, Zoey, Ella, and Ethan. Liam said, \"(Ella is an altruist and Ethan is an altruist and Zoey is an egoist) and (Ethan is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1236, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]], [...
{"split": "train", "index": 10126}
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: Joseph, Aurora, Emma, Penelope, and Daniel. Joseph remarked, \"Aurora is a laggard\". \"it is not the case that (Emma is a pioneer or Daniel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1237, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-tru...
{"split": "train", "index": 10127}
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: Henry, Noah, Scarlett, Sofia, and Michael. \"Scarlett is an egoist,\" Henry declared. Noah expressed that (if Scarlett is an altruist then Henr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1238, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 1], [\"not\", [\"and\", [\"telling-truth\", 4],...
{"split": "train", "index": 10128}
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, Benjamin, Zoey, Ava, and Lucas. Aria said, \"it is not the case that (if Benjamin is an angel then Zoey is a devil).\" Benjamin said that (Ava is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1239, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"telling-tr...
{"split": "train", "index": 10129}
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: Ethan, Sebastian, Emily, Owen, and Noah. Ethan expressed that (Owen is a villain) and (Emily is a villain and Sebastian is a villain) and (Emily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1240, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\...
{"split": "train", "index": 10130}
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: Alexander, Abigail, Aiden, Ethan, and Olivia. Alexander stated, \"(if Aiden is a hero then Abigail is a villain) and (if Aiden is a hero then Ethan i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1241, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"a...
{"split": "train", "index": 10131}
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: Victoria, Owen, Joseph, Mia, and Sophia. Victoria asserted: \"(Sophia is an altruist and Sophia is an egoist) and Mia is an egoist and Mia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1242, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], ...
{"split": "train", "index": 10132}
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: Olivia, Riley, Ava, Isabella, and William. Olivia commented, \"(if Riley is a villain then Ava is a hero) or (Olivia is a hero and Ava is a hero)\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1243, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [...
{"split": "train", "index": 10133}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Ethan, Abigail, Avery, and Zoey. Sofia stated, \"if Avery is an angel then (Ethan is a devil or Zoey is a devil or Abigail is an angel)\". Ethan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1244, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-...
{"split": "train", "index": 10134}
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: Emma, Alexander, Ethan, Zoey, and Luke. Emma noted, \"if (Ethan is a sage and Zoey is a sage and Alexander is a sage) then (if Luke is a sage then Alexande...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1245, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\...
{"split": "train", "index": 10135}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Scarlett, Michael, James, Olivia, and Charlotte. \"(Michael is a sinner) or (James is a saint) or (if Olivia is a sinner then Charlotte is a saint),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1246, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"lying\",...
{"split": "train", "index": 10136}
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, Ella, Mia, Jacob, and Victoria. Emma noted, \"(Jacob is an altruist and Jacob is an egoist and Victoria is an altruist) and (if Mia is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1247, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\"...
{"split": "train", "index": 10137}
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: Evelyn, Ava, Riley, Noah, and Mia. \"(Mia is a laggard if and only if Ava is a pioneer) or (Noah is a laggard or Riley is a laggard or Evelyn i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1248, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 0], [...
{"split": "train", "index": 10138}
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: Jackson, Riley, Emma, Benjamin, and James. Jackson commented, \"if (Riley is a saint if and only if Benjamin is a sinner) then (Emma is a saint or Ri...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1249, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lyin...
{"split": "train", "index": 10139}
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: Aria, Isabella, Michael, Mason, and Henry. Aria said, \"(Aria is an egoist) and (Mason is an egoist if and only if Mason is an altruist).\" \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1250, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"->\", [\"not\", [...
{"split": "train", "index": 10140}
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, Benjamin, Lucas, Jack, and Mia. According to Ava, \"if Jack is a saint then (Ava is a saint and Benjamin is a sinner)\". Benjamin commented, \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1251, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 3], [\"->\", [\"lying\", 2], [\"->\", [\"tel...
{"split": "train", "index": 10141}
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: Aiden, Samuel, James, Zoey, and William. \"(Zoey is an angel and Samuel is an angel and James is an angel) and (Zoey is a devil if and only if Samuel i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1252, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]],...
{"split": "train", "index": 10142}
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: Penelope, Liam, Ethan, Evelyn, and Aria. As Penelope put it, \"it is not the case that (if Liam is a sage then Liam is a fool)\". \"it is not the case that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1253, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"te...
{"split": "train", "index": 10143}
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: Alexander, Luke, Oliver, Liam, and James. Alexander said that (Oliver is a sinner) or (if James is a saint then Oliver is a sinner). Luke expressed t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1254, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"t...
{"split": "train", "index": 10144}
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: Daniel, Elizabeth, Ethan, Jackson, and Benjamin. Daniel expressed that (if Jackson is a devil then Ethan is a devil) or (Daniel is an angel if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1255, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]]], ...
{"split": "train", "index": 10145}
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: Benjamin, Matthew, Avery, Daniel, and Sebastian. In a statement by Benjamin: \"(Daniel is a laggard) or Benjamin is a pioneer\". \"it is not th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1256, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"t...
{"split": "train", "index": 10146}
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: Sebastian, Isabella, Olivia, Evelyn, and Lucas. In Sebastian's words: \"Olivia is a saint if and only if (Evelyn is a sinner if and only if Olivia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1257, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"...
{"split": "train", "index": 10147}
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: Ava, Elizabeth, Samuel, Emily, and Matthew. Ava asserted: \"(Samuel is an angel if and only if Ava is an angel) or (Elizabeth is a devil) or (if Emily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1258, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"lying\", 2], [\"not\", [\"or\", [\"lyi...
{"split": "train", "index": 10148}
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: Ethan, Avery, Evelyn, Jack, and Daniel. Ethan stated, \"it is not the case that (Avery is a knight)\". Avery expressed that (Jack is a knave and Evel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1259, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"not\", ...
{"split": "train", "index": 10149}
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, Sebastian, Chloe, Luke, and Evelyn. \"if (Evelyn is a knave if and only if Evelyn is a knight) then (Chloe is a knave),\" Amelia claimed. In ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1260, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-tru...
{"split": "train", "index": 10150}
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, Elizabeth, James, Zoey, and Harper. Mia asserted: \"(Zoey is a devil if and only if Elizabeth is a devil) and (Harper is a devil or Zoey is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1261, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2],...
{"split": "train", "index": 10151}
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: Harper, Sebastian, Mason, Scarlett, and Matthew. Harper said, \"it is not the case that (if Scarlett is a knave then Matthew is a knight).\" As Sebas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1262, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", 0], ...
{"split": "train", "index": 10152}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Alexander, Lucas, Aiden, and Harper. As Oliver put it, \"Harper is an altruist\". Alexander told you that Harper is an altruist. Lucas ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1263, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 1], ...
{"split": "train", "index": 10153}
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: Victoria, Aurora, Isabella, Mason, and Elizabeth. \"(Elizabeth is an altruist if and only if Aurora is an altruist) or (if Elizabeth is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1264, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"telling...
{"split": "train", "index": 10154}
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: Penelope, Jacob, Emma, Victoria, and Olivia. Penelope noted, \"(Victoria is a hero if and only if Jacob is a hero) if and only if (Jacob is a hero or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1265, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-t...
{"split": "train", "index": 10155}
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, Aurora, Ella, Jack, and Riley. Ethan said, \"it is not the case that (Riley is a fool and Riley is a sage).\" Aurora stated, \"Jack is a fool\". \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1266, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"ly...
{"split": "train", "index": 10156}
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, Lucas, Samuel, Liam, and Lily. According to Scarlett, \"(Liam is a sage or Lucas is a sage or Samuel is a fool) if and only if (Lily is a sage an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1267, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth...
{"split": "train", "index": 10157}
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: Charlotte, Jack, Alexander, Sebastian, and Mason. Charlotte remarked, \"(if Mason is a hero then Sebastian is a villain) or (Alexander is a hero) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1268, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"t...
{"split": "train", "index": 10158}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Amelia, Ava, James, and Chloe. In a statement by Zoey: \"if (if James is a knight then Zoey is a knight) then (Chloe is a knight)\". \"Zoey is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1269, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"lying\", 0], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]...
{"split": "train", "index": 10159}
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: Sofia, Emily, Mia, Harper, and Jack. Sofia told you that (Harper is a knave or Jack is a knave or Jack is a knight) or (Sofia is a knight or Harper i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1270, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"->\", [...
{"split": "train", "index": 10160}
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: Benjamin, Mia, Charlotte, Olivia, and Samuel. Benjamin asserted: \"(Mia is a pioneer) if and only if (if Olivia is a laggard then Charlotte is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1271, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\"...
{"split": "train", "index": 10161}
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: Isabella, David, Lily, Emily, and Aurora. In Isabella's words: \"Emily is a sinner\". In a statement by David: \"it is not the case that (Aurora is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1272, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"t...
{"split": "train", "index": 10162}
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: Olivia, Scarlett, Lily, Harper, and Lucas. As Olivia put it, \"Olivia is a hero and (Lucas is a villain)\". Scarlett noted, \"it is not the case that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1273, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"...
{"split": "train", "index": 10163}
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: Jack, Chloe, Emma, Jackson, and Aria. According to Jack, \"it is not the case that (Emma is an altruist and Chloe is an egoist and Jackson is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1274, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 3], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"lying\", 2], [\"->\", [\"lying\", 0], [\"telling-t...
{"split": "train", "index": 10164}
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: Lily, Elizabeth, James, Luke, and Ethan. \"if (if James is a saint then Elizabeth is a saint) then Elizabeth is a saint,\" Lily declared. Elizabeth e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1275, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 4]], [\"->\", [\"and\", [\"lying\", 0],...
{"split": "train", "index": 10165}
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: Aria, Chloe, Aurora, Logan, and Emma. Aria said, \"(Logan is a laggard and Logan is a pioneer) if and only if Logan is a laggard.\" Chloe comme...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1276, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 3]], [\"telling-truth\", 4], [\"lying\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [...
{"split": "train", "index": 10166}
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: Luke, Victoria, Elizabeth, Harper, and David. Luke remarked, \"(if Elizabeth is a laggard then David is a pioneer) and Victoria is a pioneer an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1277, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]...
{"split": "train", "index": 10167}
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, Avery, Abigail, Daniel, and Grace. \"if (Avery is an egoist) then (Daniel is an altruist or Daniel is an egoist or Avery is an altruist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1278, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"tell...
{"split": "train", "index": 10168}
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: Aria, Avery, Aiden, Michael, and William. \"(Avery is an egoist or Michael is an altruist or William is an egoist) and (Avery is an altruist an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1279, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"lying\", 3]...
{"split": "train", "index": 10169}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Isabella, David, Sophia, and Owen. Zoey told you that Owen is a knight. As Isabella put it, \"Zoey is a knight\". David said that it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1280, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telli...
{"split": "train", "index": 10170}
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: Sofia, Harper, Lucas, Zoey, and Chloe. Sofia expressed that it is not the case that (Sofia is a knight and Harper is a knave and Lucas is a knave). H...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1281, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [...
{"split": "train", "index": 10171}
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, Grace, Harper, Lucas, and Jackson. Logan noted, \"it is not the case that (if Harper is a fool then Grace is a fool)\". Grace stated, \"Harper is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1282, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"lying\", 2], [\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 3]]]...
{"split": "train", "index": 10172}
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, Logan, Jack, Jacob, and Liam. In a statement by Scarlett: \"Jack is a laggard\". Logan expressed that (if Jack is a pioneer then Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1283, \"statements\": [[\"lying\", 2], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lyin...
{"split": "train", "index": 10173}
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: Avery, Abigail, Mia, Ava, and Emily. In a statement by Avery: \"it is not the case that (Mia is a knight and Abigail is a knave and Mia is a knave)\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1284, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"tel...
{"split": "train", "index": 10174}
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, Victoria, Zoey, David, and Sophia. In Aurora's words: \"if David is a saint then (Sophia is a saint)\". \"Aurora is a saint if and only if (A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1285, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 2]...
{"split": "train", "index": 10175}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, Jacob, Victoria, Amelia, and Mason. According to Penelope, \"Amelia is a sinner\". In a statement by Jacob: \"it is not the case that (if M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1286, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 2], [\"->\", [\"telli...
{"split": "train", "index": 10176}
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: Evelyn, Elizabeth, James, Jackson, and Chloe. Evelyn stated, \"James is a knight\". Elizabeth expressed that if (Elizabeth is a knight and Chloe is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1287, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"tellin...
{"split": "train", "index": 10177}
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: Joseph, Mia, James, Lily, and Aurora. In Joseph's words: \"James is a sinner or (Mia is a saint) or James is a saint\". Mia said, \"(Aurora is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1288, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"lying\", 1]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 0]], [\"telling-truth\", 0]], [\"lying\", 1], ...
{"split": "train", "index": 10178}
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: Amelia, Michael, Logan, Luke, and Samuel. \"(if Samuel is an altruist then Michael is an egoist) or (Amelia is an egoist),\" Amelia declared. M...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1289, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 2], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]...
{"split": "train", "index": 10179}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Jackson, Emily, Luke, and Samuel. In Sebastian's words: \"(Samuel is a villain or Emily is a villain) if and only if Luke is a hero\". In ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1290, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"->\", [\"and\", [\"telling-truth\", 0]...
{"split": "train", "index": 10180}
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, Abigail, Elizabeth, Luke, and Sophia. As Ella put it, \"(Sophia is an altruist) if and only if (if Abigail is an altruist then Sophia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1291, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]...
{"split": "train", "index": 10181}
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: Harper, Alexander, Liam, Chloe, and Mason. Harper expressed that it is not the case that (Mason is a villain or Chloe is a villain). Alexander stated...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1292, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"<=>\", [\"->\", [\"l...
{"split": "train", "index": 10182}
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: Mason, Avery, Samuel, Jack, and Henry. Mason stated, \"Henry is a knave if and only if (if Jack is a knave then Henry is a knave)\". Avery expressed ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1293, \"statements\": [[\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"ly...
{"split": "train", "index": 10183}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Scarlett, Joseph, Oliver, Victoria, and Sebastian. \"if (Oliver is a devil if and only if Victoria is a devil) then (if Oliver is an angel then Scarlet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1294, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], ...
{"split": "train", "index": 10184}
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, Avery, William, Henry, and Aria. In Scarlett's words: \"(Henry is a fool or Aria is a fool or Henry is a sage) if and only if (Henry is a fool an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1295, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"or\", [\"and\", [\"telli...
{"split": "train", "index": 10185}
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, Charlotte, Lily, Daniel, and Isabella. In a statement by Oliver: \"(Charlotte is a fool and Lily is a sage) or (Daniel is a fool or Charlotte is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1296, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\...
{"split": "train", "index": 10186}
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: Joseph, Victoria, Jacob, Penelope, and Ethan. \"(Jacob is a hero if and only if Victoria is a hero) or Ethan is a villain,\" Joseph claimed. \"Ethan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1297, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 1]...
{"split": "train", "index": 10187}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Ella, Liam, Elizabeth, and Henry. In David's words: \"if (Henry is an egoist and Elizabeth is an altruist) then (David is an altruist or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1298, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 1]]], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telli...
{"split": "train", "index": 10188}
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, James, Scarlett, Isabella, and Matthew. Chloe commented, \"if (Scarlett is a sinner or Matthew is a saint or James is a saint) then (Chloe is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1299, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [...
{"split": "train", "index": 10189}
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: Luke, Ethan, William, Lily, and Emma. Luke said that (William is a knight if and only if William is a knave) and (if Ethan is a knight then Emma is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1300, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 2...
{"split": "train", "index": 10190}
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: Joseph, Daniel, Aiden, William, and Logan. Joseph was heard saying, \"Logan is a sinner or (William is a sinner or William is a saint or Daniel is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1301, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 4]], ...
{"split": "train", "index": 10191}
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: Harper, David, Liam, Alexander, and Benjamin. Harper told you that (Benjamin is an angel if and only if David is an angel) or (if David is an angel the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1302, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-tru...
{"split": "train", "index": 10192}
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: Lily, Jackson, Scarlett, Joseph, and Daniel. \"(Scarlett is a saint or Lily is a saint) or (Jackson is a saint and Lily is a saint),\" Lily claimed. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1303, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\"...
{"split": "train", "index": 10193}
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: Ella, Samuel, Olivia, Jacob, and Oliver. Ella said, \"Olivia is a fool.\" Samuel expressed that Ella is a fool. In Olivia's words: \"if (Oliver is a sage a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1304, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]]...
{"split": "train", "index": 10194}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Logan, Sebastian, Ethan, and Riley. \"if (Ethan is a saint and Sebastian is a sinner) then (Ethan is a saint if and only if Riley is a saint)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1305, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"tel...
{"split": "train", "index": 10195}
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: Lily, Alexander, Victoria, Michael, and Elizabeth. \"it is not the case that (Elizabeth is a fool if and only if Alexander is a fool)\" - Lily. \"if (if Vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1306, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"...
{"split": "train", "index": 10196}
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: Noah, Henry, Aiden, Olivia, and Amelia. Noah said, \"(Henry is an altruist or Noah is an altruist or Henry is an egoist) or (Amelia is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1307, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telli...
{"split": "train", "index": 10197}
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: Charlotte, Henry, Aurora, Mia, and Lily. \"if Aurora is a sinner then (Mia is a sinner if and only if Henry is a sinner),\" Charlotte mentioned. In H...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1308, \"statements\": [[\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"lying\", 4], [\"lying\", 1], [\"lying\", 3]...
{"split": "train", "index": 10198}
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: Elizabeth, Logan, Sebastian, Lily, and Noah. In Elizabeth's words: \"if (Lily is a laggard) then Sebastian is a pioneer\". In a statement by Lo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1309, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"lying\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"->\...
{"split": "train", "index": 10199}