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 sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Henry, Isabella, Sebastian, and Jack. Ava commented, \"it is not the case that (Henry is a sage)\". Henry remarked, \"(Jack is a fool or Ava is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1188, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2],... | {"split": "train", "index": 12300} |
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: Aurora, Henry, Aria, Michael, and Emma. \"it is not the case that (Aria is a laggard),\" Aurora claimed. \"(Henry is a pioneer if and only if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1189, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"<... | {"split": "train", "index": 12301} |
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: Jack, Owen, Samuel, Lily, and Aiden. \"(Owen is a pioneer) or (Lily is a laggard if and only if Samuel is a pioneer),\" Jack declared. Owen was... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1190, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]]], [\"... | {"split": "train", "index": 12302} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Emma, Luke, Jack, and Aurora. Daniel expressed that (Emma is a sinner and Luke is a sinner) and (if Luke is a sinner then Emma is a saint). E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1191, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 0], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"telling-truth\", 3]... | {"split": "train", "index": 12303} |
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, James, Zoey, Michael, and Amelia. \"if (Michael is a sage and Zoey is a sage and James is a fool) then (James is a sage if and only if Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1192, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], ... | {"split": "train", "index": 12304} |
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: Owen, Sofia, Elizabeth, Grace, and William. Owen noted, \"it is not the case that (Elizabeth is an egoist if and only if Sofia is an egoist)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1193, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 4... | {"split": "train", "index": 12305} |
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: Sebastian, Penelope, Michael, Amelia, and Ethan. \"(if Ethan is a pioneer then Penelope is a laggard) if and only if (if Ethan is a laggard the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1194, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"->... | {"split": "train", "index": 12306} |
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, Chloe, Logan, William, and Ava. Harper expressed that (if William is a devil then Chloe is an angel) and (Ava is a devil or Ava is an angel or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1195, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>... | {"split": "train", "index": 12307} |
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: Emily, Ava, Oliver, Sophia, and Jackson. Emily commented, \"Sophia is a pioneer\". As Ava put it, \"it is not the case that (Oliver is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1196, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 0]]], [\"telling-truth\", 0], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 0]], [\"and\", [... | {"split": "train", "index": 12308} |
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: Jack, Sophia, Jacob, Liam, and Grace. In Jack's words: \"Jack is a saint\". Sophia said that if (Liam is a saint if and only if Grace is a saint) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1197, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 12309} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Owen, Liam, Oliver, Ethan, and Aurora. Owen told you that (Liam is a hero if and only if Aurora is a villain) and (Ethan is a hero if and only if Aur... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1198, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 12310} |
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, Abigail, Jacob, Avery, and Elizabeth. Ethan commented, \"if (Avery is a laggard) then (Avery is a pioneer and Abigail is a laggard and E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1199, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\... | {"split": "train", "index": 12311} |
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, Sebastian, Abigail, Michael, and Ava. Riley noted, \"it is not the case that (Michael is a knight if and only if Ava is a knight)\". \"(Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1200, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"... | {"split": "train", "index": 12312} |
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: Henry, Olivia, Elizabeth, Mia, and Riley. Henry expressed that (Olivia is a devil and Riley is a devil and Elizabeth is an angel) and (Riley is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1201, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2... | {"split": "train", "index": 12313} |
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, James, Isabella, Ethan, and Aiden. Abigail was heard saying, \"Aiden is a laggard or (Abigail is a pioneer or Ethan is a laggard) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1202, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lyi... | {"split": "train", "index": 12314} |
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: Luke, Harper, Jackson, Matthew, and Elizabeth. As Luke put it, \"Jackson is an angel\". \"(Elizabeth is an angel) and (Jackson is a devil or Luke is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1203, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-trut... | {"split": "train", "index": 12315} |
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: Luke, Matthew, Lucas, Emily, and Zoey. Luke remarked, \"(Luke is an angel or Zoey is an angel or Emily is an angel) or (if Lucas is an angel then Luke ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1204, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 12316} |
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, Liam, Luke, Joseph, and Grace. Ethan expressed that (if Grace is a laggard then Joseph is a pioneer) if and only if (if Joseph is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1205, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"or... | {"split": "train", "index": 12317} |
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: Aiden, Jackson, Emily, Mia, and Benjamin. Aiden asserted: \"it is not the case that (Emily is an egoist and Mia is an altruist and Aiden is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1206, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3]... | {"split": "train", "index": 12318} |
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, Luke, Matthew, Samuel, and Mia. In Sophia's words: \"if (if Matthew is a knave then Samuel is a knight) then (if Matthew is a knave then Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1207, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 12319} |
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: Aurora, Liam, Amelia, Emma, and Joseph. Aurora commented, \"it is not the case that (if Emma is a knight then Aurora is a knight)\". Liam commented, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1208, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\... | {"split": "train", "index": 12320} |
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: Sebastian, Amelia, Abigail, Ava, and Scarlett. As Sebastian put it, \"if Amelia is an altruist then (Ava is an egoist)\". Amelia was heard sayi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1209, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"lyin... | {"split": "train", "index": 12321} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Ella, Harper, Lily, and Emily. \"if Harper is a sinner then Ella is a sinner,\" Aiden claimed. Ella was heard saying, \"it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1210, \"statements\": [[\"->\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 1], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 3], [... | {"split": "train", "index": 12322} |
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: Noah, Oliver, Liam, Olivia, and Daniel. Noah noted, \"Olivia is an angel\". \"if Daniel is a devil then (Daniel is a devil and Olivia is an angel),\" O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1211, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], ... | {"split": "train", "index": 12323} |
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, Ella, Sophia, Mason, and Zoey. \"(Mason is a knight if and only if Ella is a knave) if and only if Ella is a knight,\" Penelope claimed. El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1212, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 1]], [\"lying\", 2], [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 12324} |
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, James, Grace, Ethan, and Mia. Olivia said, \"if (Mia is a hero if and only if Grace is a hero) then (Grace is a villain).\" James told you th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1213, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 3]], [\"not\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 12325} |
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, Scarlett, Charlotte, Mia, and Harper. Elizabeth noted, \"Harper is a laggard or (if Elizabeth is a pioneer then Charlotte is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1214, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1]... | {"split": "train", "index": 12326} |
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, Victoria, Jacob, David, and Lily. \"Jacob is a pioneer,\" Benjamin declared. Victoria noted, \"(Benjamin is a pioneer and David is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1215, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth... | {"split": "train", "index": 12327} |
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, Daniel, Olivia, Noah, and Grace. In Benjamin's words: \"if (if Benjamin is a hero then Olivia is a hero) then (Grace is a villain or Olivia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1216, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 12328} |
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, Abigail, Lucas, Matthew, and Ella. In Liam's words: \"Ella is an egoist\". Abigail told you that (Lucas is an egoist if and only if Ella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1217, \"statements\": [[\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3],... | {"split": "train", "index": 12329} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, Grace, Oliver, Mason, and Harper. Jacob expressed that (Harper is a sinner) and (if Jacob is a saint then Mason is a saint). Grace noted, \"Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1218, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"tel... | {"split": "train", "index": 12330} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Avery, Ella, Ethan, and Matthew. As Michael put it, \"(Ella is a villain if and only if Ethan is a hero) if and only if (if Ethan is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1219, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 12331} |
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: David, Grace, Emily, Abigail, and Charlotte. \"if Charlotte is a pioneer then (Emily is a pioneer)\" - David. According to Grace, \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1220, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 12332} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Penelope, Harper, Amelia, and Victoria. Joseph remarked, \"it is not the case that (Amelia is a knight and Penelope is a knave and Joseph is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1221, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telli... | {"split": "train", "index": 12333} |
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: Ava, Charlotte, Alexander, Noah, and Olivia. \"Olivia is a sage,\" Ava claimed. Charlotte was heard saying, \"(Ava is a sage if and only if Noah is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1222, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"telling-tr... | {"split": "train", "index": 12334} |
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: Ella, Joseph, Ava, Olivia, and William. \"(William is a devil if and only if Olivia is an angel) or (Olivia is a devil or Joseph is an angel or Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1223, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0... | {"split": "train", "index": 12335} |
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, Noah, Logan, Sophia, and Owen. Harper was heard saying, \"(Noah is a devil and Noah is an angel and Owen is a devil) and (Owen is a devil)\". N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1224, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 12336} |
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: Sofia, Jack, Lucas, Samuel, and Lily. According to Sofia, \"if (Jack is a villain) then (if Lucas is a villain then Samuel is a villain)\". In a stat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1225, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"tel... | {"split": "train", "index": 12337} |
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: Aria, Penelope, Lily, Samuel, and Jacob. \"(Samuel is a knight or Penelope is a knave or Penelope is a knight or Lily is a knight) if and only if (Pe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1226, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0], ... | {"split": "train", "index": 12338} |
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, Alexander, Elizabeth, Penelope, and Benjamin. Mia said that Benjamin is a saint. Alexander said that Benjamin is a saint. Elizabeth said, \"(Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1227, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"lying\"... | {"split": "train", "index": 12339} |
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: Amelia, Daniel, Chloe, Evelyn, and Sebastian. Amelia stated, \"Sebastian is a villain\". \"it is not the case that (Sebastian is a hero or Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1228, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lyin... | {"split": "train", "index": 12340} |
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, Aiden, Avery, Zoey, and Mia. In Henry's words: \"Aiden is an egoist\". \"if Mia is an altruist then Zoey is an altruist,\" Aiden mention... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1229, \"statements\": [[\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 1... | {"split": "train", "index": 12341} |
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: Charlotte, Zoey, Sofia, Michael, and Penelope. Charlotte noted, \"(Sofia is a devil) or (if Zoey is an angel then Michael is a devil) or (Zoey is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1230, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"te... | {"split": "train", "index": 12342} |
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: Emily, Noah, Amelia, Logan, and Matthew. In Emily's words: \"Noah is a hero\". As Noah put it, \"if (Amelia is a villain or Noah is a hero) then (Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1231, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 0], [\"or\", [\"->\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 12343} |
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: Avery, Mia, Riley, Lucas, and Amelia. Avery remarked, \"(Mia is an altruist if and only if Mia is an egoist) if and only if (Mia is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1232, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 12344} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sofia, Michael, James, Alexander, and Matthew. Sofia said, \"James is an altruist or (Michael is an egoist or Matthew is an altruist) or (James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1233, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 3]],... | {"split": "train", "index": 12345} |
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, Jackson, Grace, Liam, and Elizabeth. According to Daniel, \"(if Jackson is a laggard then Daniel is a pioneer) or (Jackson is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1234, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", ... | {"split": "train", "index": 12346} |
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: William, Mia, Ella, Aria, and Sophia. William said that (if Aria is a laggard then Sophia is a laggard) if and only if (Aria is a pioneer). Mia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1235, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2... | {"split": "train", "index": 12347} |
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, Joseph, Mason, Matthew, and Isabella. In David's words: \"(Matthew is a villain) or (David is a hero or Matthew is a hero or Matthew is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1236, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 12348} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Benjamin, Scarlett, Lucas, and Emily. James said, \"(if Benjamin is a knave then James is a knight) if and only if (Scarlett is a knave).\" Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1237, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 2]]], [\"telling-truth\",... | {"split": "train", "index": 12349} |
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, Penelope, Emma, Henry, and Joseph. Isabella was heard saying, \"Henry is a fool and Emma is a sage and (Henry is a sage and Isabella is a sage)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1238, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"t... | {"split": "train", "index": 12350} |
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, Jack, Emma, Riley, and Aurora. Elizabeth said, \"Riley is a pioneer.\" \"Emma is a pioneer,\" Jack claimed. As Emma put it, \"if Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1239, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"... | {"split": "train", "index": 12351} |
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: Mason, Matthew, Liam, Lucas, and Alexander. Mason said that (Matthew is an angel) if and only if (Matthew is an angel and Mason is an angel and Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1240, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0... | {"split": "train", "index": 12352} |
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, Matthew, Jack, Sofia, and Henry. Scarlett asserted: \"Sofia is a pioneer\". Matthew asserted: \"Matthew is a pioneer or (Sofia is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1241, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"... | {"split": "train", "index": 12353} |
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, Samuel, Benjamin, Noah, and Scarlett. Riley said that (Scarlett is a knave or Noah is a knight or Scarlett is a knight) or (Scarlett is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1242, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-trut... | {"split": "train", "index": 12354} |
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, Evelyn, Ella, Scarlett, and Luke. In Henry's words: \"Luke is a villain\". Evelyn expressed that Henry is a hero. Ella stated, \"(Luke is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1243, \"statements\": [[\"lying\", 4], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-trut... | {"split": "train", "index": 12355} |
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: Avery, Henry, Samuel, Grace, and Ava. In Avery's words: \"if (Samuel is an altruist) then (Ava is an altruist)\". In Henry's words: \"if (Henry... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1244, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 12356} |
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, Jackson, Samuel, James, and Emma. According to Alexander, \"(James is a saint if and only if Emma is a sinner) if and only if (if Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1245, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0]]... | {"split": "train", "index": 12357} |
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, Lucas, Mia, Penelope, and Matthew. \"it is not the case that (Matthew is a hero),\" Chloe mentioned. Lucas said that (Mia is a villain) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1246, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\... | {"split": "train", "index": 12358} |
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: Jack, Victoria, James, Michael, and Abigail. Jack expressed that it is not the case that (Michael is a pioneer). In a statement by Victoria: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1247, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\... | {"split": "train", "index": 12359} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Grace, Sebastian, Daniel, and Ethan. As Zoey put it, \"it is not the case that (Sebastian is an altruist and Grace is an altruist and Seb... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1248, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 3], ... | {"split": "train", "index": 12360} |
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, Harper, Amelia, Sebastian, and Isabella. Avery remarked, \"(if Avery is an angel then Sebastian is a devil) if and only if (Amelia is a devil an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1249, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 12361} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Mia, Ella, Lily, and Ava. Daniel told you that if (Ella is a saint if and only if Mia is a sinner) then (Mia is a sinner or Ella is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1250, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\... | {"split": "train", "index": 12362} |
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: Luke, Ethan, Samuel, Avery, and Oliver. Luke remarked, \"it is not the case that (Oliver is a saint)\". Ethan remarked, \"(Luke is a saint if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1251, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\... | {"split": "train", "index": 12363} |
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, Lily, William, Mason, and Benjamin. David said, \"it is not the case that (Benjamin is a hero or Lily is a hero or William is a hero or Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1252, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 2], [\"lying\",... | {"split": "train", "index": 12364} |
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: Charlotte, Jacob, Mason, Evelyn, and Zoey. In a statement by Charlotte: \"Jacob is an altruist\". Jacob asserted: \"Evelyn is an egoist\". Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1253, \"statements\": [[\"telling-truth\", 1], [\"lying\", 3], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1... | {"split": "train", "index": 12365} |
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: Jackson, Oliver, Samuel, Alexander, and Evelyn. In Jackson's words: \"Samuel is a sage if and only if (if Oliver is a sage then Samuel is a fool)\". Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1254, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"tellin... | {"split": "train", "index": 12366} |
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: Jackson, Abigail, Sophia, Charlotte, and Michael. In a statement by Jackson: \"(Michael is a sage and Sophia is a sage and Charlotte is a fool and Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1255, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [... | {"split": "train", "index": 12367} |
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: Charlotte, Victoria, Aurora, Matthew, and Penelope. \"it is not the case that (if Victoria is a fool then Charlotte is a sage)\" - Charlotte. \"Victoria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1256, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\... | {"split": "train", "index": 12368} |
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: Grace, Lily, Charlotte, Aiden, and Noah. According to Grace, \"(Noah is a sage or Charlotte is a fool) or (Charlotte is a sage) or (Grace is a sage if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1257, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 12369} |
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: Evelyn, Aurora, James, Alexander, and Mia. \"(if Alexander is an egoist then Mia is an altruist) or Evelyn is an altruist\" - Evelyn. Aurora sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1258, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 12370} |
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: Henry, Mia, Ethan, Emma, and Sebastian. \"(if Ethan is a fool then Mia is a sage) and (Henry is a fool) and (Emma is a fool if and only if Ethan is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1259, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\... | {"split": "train", "index": 12371} |
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, Riley, Ethan, Avery, and Elizabeth. In a statement by Luke: \"Riley is a hero\". Riley remarked, \"(Elizabeth is a villain and Avery is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1260, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 0]], [\"-... | {"split": "train", "index": 12372} |
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, Charlotte, Olivia, Michael, and Ella. Penelope commented, \"(Charlotte is a hero) and (Ella is a villain or Charlotte is a villain) and (El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1261, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"a... | {"split": "train", "index": 12373} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Zoey, Amelia, Ava, and Ella. Jack told you that it is not the case that (Amelia is a knight). Zoey noted, \"(Jack is a knave) or (Amelia is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1262, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 12374} |
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: Sofia, Daniel, Scarlett, Chloe, and Aiden. \"Scarlett is a hero,\" Sofia declared. Daniel said, \"if (if Chloe is a villain then Chloe is a hero) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1263, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 12375} |
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, Mason, Ella, Oliver, and Samuel. Emma asserted: \"Samuel is a fool\". \"it is not the case that (Samuel is a fool or Oliver is a fool or Oliver is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1264, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 1], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 12376} |
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: Aurora, Riley, Ella, Jackson, and Noah. \"it is not the case that (Ella is a knave),\" Aurora mentioned. Riley noted, \"Ella is a knight\". As Ella p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1265, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"lying\", 2]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 2]]], [\... | {"split": "train", "index": 12377} |
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: Samuel, Emily, Avery, Aurora, and Elizabeth. Samuel stated, \"(Elizabeth is a knight or Samuel is a knight or Aurora is a knave) and (if Emily is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1266, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"or\"... | {"split": "train", "index": 12378} |
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: Emily, Scarlett, Aurora, Noah, and Victoria. As Emily put it, \"(Aurora is a hero if and only if Emily is a hero) or Scarlett is a villain or Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1267, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 1], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], ... | {"split": "train", "index": 12379} |
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, Sophia, Luke, Ethan, and Aurora. Lucas noted, \"(Luke is an angel or Aurora is an angel or Lucas is an angel) or (if Ethan is an angel then Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1268, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 12380} |
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: Sebastian, Ella, Victoria, Abigail, and Ava. According to Sebastian, \"Abigail is a pioneer or Ava is a pioneer or (Ella is a laggard if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1269, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\",... | {"split": "train", "index": 12381} |
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: Victoria, Aurora, Harper, Luke, and Aiden. \"(Aurora is a sage or Victoria is a sage or Luke is a fool or Harper is a sage) or Aurora is a sage or Aiden is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1270, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]... | {"split": "train", "index": 12382} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Aria, Jacob, Michael, and Jack. In Sofia's words: \"(if Michael is a fool then Jack is a fool) if and only if (Jack is a sage and Jacob is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1271, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 12383} |
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, Ava, Amelia, and Isabella. \"Amelia is a knight,\" Sophia claimed. \"Isabella is a knave\" - Michael. In a statement by Ava: \"Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1272, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]], [\"lying\", 3], [\"lying\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]], \"solution\": [true, false, false, true, true], \... | {"split": "train", "index": 12384} |
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, Lucas, Emma, Emily, and Jacob. Victoria said that (Victoria is an egoist) or (Jacob is an altruist or Emma is an altruist or Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1273, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\... | {"split": "train", "index": 12385} |
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, Joseph, Aria, Aiden, and Elizabeth. Abigail was heard saying, \"Joseph is a fool or Joseph is a sage or (Aria is a fool or Aria is a sage or Aiden... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1274, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"tellin... | {"split": "train", "index": 12386} |
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: Sebastian, Daniel, Avery, Chloe, and Olivia. Sebastian noted, \"if (Chloe is a knight) then (Avery is a knave if and only if Chloe is a knight)\". \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1275, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"n... | {"split": "train", "index": 12387} |
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, Abigail, Jackson, Sophia, and Ethan. Lily stated, \"(Ethan is a sage) if and only if (Abigail is a sage if and only if Sophia is a sage)\". Abigail t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1276, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [... | {"split": "train", "index": 12388} |
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, Michael, Elizabeth, Oliver, and Abigail. Scarlett asserted: \"if (Elizabeth is a devil) then Michael is a devil\". Michael said that Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1277, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 12389} |
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: Evelyn, Sophia, Sebastian, Harper, and Mason. Evelyn remarked, \"(Harper is a sage or Sebastian is a sage or Harper is a fool) or Sophia is a sage or (if S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1278, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"lying\", 2], [\"->\", [\"->\", [\"lying\",... | {"split": "train", "index": 12390} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aurora, Amelia, Joseph, Jackson, and Sofia. \"it is not the case that (Joseph is a fool and Joseph is a sage and Sofia is a sage and Jackson is a sage),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1279, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]... | {"split": "train", "index": 12391} |
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, James, Emily, Liam, and Harper. Ava remarked, \"(Emily is an angel and Harper is a devil and Ava is an angel) and (Liam is an angel or James is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1280, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 3], [... | {"split": "train", "index": 12392} |
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, Jack, Sophia, Jacob, and Mason. Emily commented, \"(Jack is an altruist if and only if Jacob is an altruist) if and only if (Jacob is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1281, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lyin... | {"split": "train", "index": 12393} |
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, Luke, Harper, Alexander, and William. Victoria asserted: \"Luke is a knave\". Luke told you that (Alexander is a knave if and only if Willi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1282, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 2... | {"split": "train", "index": 12394} |
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: Luke, Lucas, Emma, Scarlett, and Penelope. Luke commented, \"Scarlett is a sinner\". \"if (Lucas is a sinner) then Luke is a saint,\" Lucas claimed. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1283, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\"... | {"split": "train", "index": 12395} |
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: Aurora, Sebastian, Zoey, Avery, and Mason. According to Aurora, \"(Aurora is an altruist and Zoey is an egoist and Sebastian is an altruist) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1284, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\"... | {"split": "train", "index": 12396} |
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, Benjamin, Ethan, Sebastian, and Matthew. Jack told you that Jack is an altruist and (Ethan is an egoist if and only if Matthew is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1285, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]... | {"split": "train", "index": 12397} |
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, James, Amelia, Evelyn, and Luke. As Henry put it, \"(Luke is a laggard and Luke is a pioneer and Evelyn is a laggard) and (Henry is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1286, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 0], [\"lying... | {"split": "train", "index": 12398} |
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, William, Michael, Mia, and Liam. Matthew commented, \"it is not the case that (if Mia is a laggard then Matthew is a pioneer)\". Accor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1287, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"lying\", 0... | {"split": "train", "index": 12399} |
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