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 angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Elizabeth, Amelia, William, and Charlotte. \"if (Charlotte is a devil or (Elizabeth is an angel if and only if Charlotte is a devil) or (Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1022, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telli... | {"split": "train", "index": 18800} |
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: Riley, Penelope, Aria, Logan, and Samuel. In a statement by Riley: \"Aria is a villain or ((if Penelope is a hero then Logan is a hero) or (Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1023, \"statements\": [[\"or\", [\"lying\", 2], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [... | {"split": "train", "index": 18801} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Oliver, Riley, Aurora, and Michael. Avery said, \"if Avery is a saint then ((Riley is a sinner) if and only if (Michael is a sinner)).\" \"(Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1024, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 18802} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jack, Lily, Lucas, Harper, and Riley. As Jack put it, \"((Lily is a sage and Riley is a sage and Lucas is a sage) if and only if (Lucas is a fool or Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1025, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 2]... | {"split": "train", "index": 18803} |
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, Victoria, Owen, Liam, and Lily. \"((Isabella is a sinner) and (if Lily is a saint then Isabella is a saint) and (Liam is a saint and Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1026, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 1]... | {"split": "train", "index": 18804} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Ella, Jack, Charlotte, and Amelia. In a statement by Evelyn: \"(Ella is a hero and (Jack is a villain) and (Charlotte is a hero or Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1027, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying... | {"split": "train", "index": 18805} |
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: Michael, Zoey, Riley, Noah, and Penelope. In Michael's words: \"(Penelope is a pioneer if and only if (Michael is a pioneer if and only if Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1028, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4]], ... | {"split": "train", "index": 18806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, David, Evelyn, Ella, and Penelope. Grace told you that (Penelope is a sinner if and only if (Penelope is a saint or David is a saint)) or ((if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1029, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 4]]], [\"lying\", 4], [\"not\", [\"an... | {"split": "train", "index": 18807} |
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, Samuel, Oliver, David, and Olivia. Mason noted, \"(Oliver is a devil) if and only if David is an angel\". Samuel noted, \"it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1030, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4... | {"split": "train", "index": 18808} |
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: Lily, Oliver, Samuel, Zoey, and Owen. Lily said that ((Owen is an egoist or Owen is an altruist or Lily is an altruist or Oliver is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1031, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", ... | {"split": "train", "index": 18809} |
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, William, Matthew, David, and Ella. \"((David is a sage if and only if Logan is a sage) or (William is a sage if and only if Matthew is a sage)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1032, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\... | {"split": "train", "index": 18810} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Penelope, Emily, Samuel, David, and Michael. Penelope said, \"it is not the case that (if (Samuel is an altruist and David is an egoist and Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1033, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"l... | {"split": "train", "index": 18811} |
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, Zoey, William, Noah, and Sebastian. Aiden was heard saying, \"((Noah is a sinner if and only if William is a saint) and (Noah is a saint or Wi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1034, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\... | {"split": "train", "index": 18812} |
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: Lucas, Scarlett, Evelyn, Liam, and Sofia. In a statement by Lucas: \"((Evelyn is a saint) or Scarlett is a saint) if and only if ((if Scarlett is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1035, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2]... | {"split": "train", "index": 18813} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Benjamin, Abigail, Harper, and Lily. In a statement by Owen: \"(it is not the case that (Abigail is a knight and Lily is a knave and Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1036, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 18814} |
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, Penelope, Ethan, Mason, and Ava. Ella stated, \"it is not the case that (if (Ava is a devil or Ava is an angel) then Ava is a devil)\". Penelope ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1037, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 4]]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 18815} |
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: Zoey, James, Charlotte, Daniel, and Mia. Zoey commented, \"(if (Charlotte is a hero) then (James is a villain)) or (Daniel is a hero and (Mia is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1038, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 18816} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Oliver, Michael, Penelope, and Emma. \"if (if (if Emma is a saint then Penelope is a saint) then Penelope is a sinner) then Sophia is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1039, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 3]], [\"telling-truth\", 0]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]... | {"split": "train", "index": 18817} |
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, Alexander, Evelyn, Elizabeth, and Emma. Chloe said, \"((Evelyn is a villain) if and only if (Emma is a hero or Evelyn is a hero or Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1040, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\... | {"split": "train", "index": 18818} |
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, Logan, Abigail, Jacob, and Ethan. According to Aria, \"if (if (if Ethan is an angel then Jacob is a devil) then (Ethan is a devil if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1041, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 18819} |
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: Matthew, Victoria, Harper, Michael, and Daniel. \"Victoria is a knave\" - Matthew. Victoria was heard saying, \"(if (Harper is a knight or Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1042, \"statements\": [[\"lying\", 1], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 1... | {"split": "train", "index": 18820} |
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, Matthew, Michael, Emma, and Oliver. As Owen put it, \"((Michael is a hero and Michael is a villain) and Emma is a hero and (Owen is a hero if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1043, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]],... | {"split": "train", "index": 18821} |
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: Abigail, Elizabeth, Ella, Emily, and Jackson. Abigail asserted: \"(Elizabeth is an angel and (Emily is a devil and Abigail is an angel) and (Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1044, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"lying\", 2... | {"split": "train", "index": 18822} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Lily, Evelyn, Sebastian, and Olivia. \"(it is not the case that (Jackson is a knight or Olivia is a knave or Evelyn is a knight)) or ((Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1045, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 3], [\"not\", [\... | {"split": "train", "index": 18823} |
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: Sebastian, Olivia, Emily, Noah, and Logan. In Sebastian's words: \"Olivia is a sage\". In a statement by Olivia: \"(if (if Noah is a sage then Emily is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1046, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 0]]], [\"telling-truth\", 0], [\"... | {"split": "train", "index": 18824} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Chloe, Sebastian, Victoria, and William. According to Samuel, \"if (if (Chloe is an altruist if and only if Victoria is an egoist) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1047, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"telling-truth\", 4], [\"... | {"split": "train", "index": 18825} |
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, Michael, Jacob, Abigail, and Isabella. \"((Isabella is a devil and Isabella is an angel) and Michael is an angel) or ((Daniel is an angel or Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1048, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lyin... | {"split": "train", "index": 18826} |
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, Benjamin, Evelyn, Isabella, and Sofia. In a statement by Lily: \"(if (Sofia is a sinner) then (if Benjamin is a sinner then Sofia is a saint)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1049, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", ... | {"split": "train", "index": 18827} |
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, Scarlett, Abigail, Chloe, and William. \"((if Abigail is a knight then Chloe is a knave) and (if Chloe is a knave then Chloe is a knight) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1050, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"or\", [\"te... | {"split": "train", "index": 18828} |
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, Emily, Noah, Owen, and Sebastian. Jackson remarked, \"it is not the case that (Sebastian is a sage if and only if (Noah is a fool if and only if N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1051, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"or\", [\"->\", [\"<=>\", [\"lying\", 4], [\"... | {"split": "train", "index": 18829} |
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: Charlotte, Avery, Amelia, Olivia, and Samuel. \"if Avery is a knave then (it is not the case that (Avery is a knave)),\" Charlotte claimed. Avery not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1052, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 2], [\"not\", [\"lying\", 2]], [\"<=>\", [\"lyin... | {"split": "train", "index": 18830} |
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, Jack, Sophia, Elizabeth, and Amelia. Riley asserted: \"(it is not the case that (if Amelia is a knave then Amelia is a knight)) or ((Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1053, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 2], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 18831} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ava, Aria, Liam, Charlotte, and Abigail. Ava said that ((Ava is a pioneer and Charlotte is a laggard) or (Liam is a pioneer or Abigail is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1054, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"l... | {"split": "train", "index": 18832} |
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: Sophia, Harper, Samuel, Noah, and Lily. Sophia said that Harper is a hero. \"((if Lily is a hero then Samuel is a hero) and (Harper is a hero or Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1055, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or... | {"split": "train", "index": 18833} |
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, James, Michael, Alexander, and Daniel. \"((if Samuel is a hero then Alexander is a villain) or James is a hero or (Daniel is a hero and Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1056, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2]], [\"lying\", 3]], [\"... | {"split": "train", "index": 18834} |
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, Jack, Amelia, Mia, and Jackson. James was heard saying, \"it is not the case that (if (Mia is a knight) then (Jackson is a knave and Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1057, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4],... | {"split": "train", "index": 18835} |
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, Victoria, Joseph, and Avery. Henry told you that ((Victoria is a sage or Mia is a fool or Avery is a sage or Joseph is a fool) or Avery is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1058, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"or\", ... | {"split": "train", "index": 18836} |
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, Sebastian, Mia, Ella, and Lily. Matthew asserted: \"it is not the case that ((Ella is an angel and Matthew is an angel) and (Lily is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1059, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"or\", [... | {"split": "train", "index": 18837} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aria, Henry, Mia, William, and Owen. \"Mia is a saint,\" Aria declared. In Henry's words: \"(it is not the case that (Mia is a sinner and Owen is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1060, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"... | {"split": "train", "index": 18838} |
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, Ava, Logan, Sofia, and Emily. Abigail said that it is not the case that ((Abigail is a pioneer or Emily is a pioneer or Emily is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1061, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4]]]], [\"and\", [\"not\", [\"telling-tr... | {"split": "train", "index": 18839} |
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, Riley, Evelyn, Grace, and Sophia. Ava commented, \"Evelyn is a sinner and ((Riley is a saint) if and only if Grace is a saint) and ((Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1062, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 1]], [\"->\", [\"n... | {"split": "train", "index": 18840} |
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, Henry, Noah, Sophia, and Amelia. Ethan remarked, \"((Noah is a pioneer or Ethan is a pioneer) if and only if (Amelia is a pioneer and No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1063, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"an... | {"split": "train", "index": 18841} |
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: Owen, Amelia, Harper, Emily, and Emma. According to Owen, \"(it is not the case that (Emma is a fool)) and ((if Amelia is a sage then Emma is a fool) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1064, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"and\", [\"<=>\", [\"or\", [\"tel... | {"split": "train", "index": 18842} |
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: Lucas, Charlotte, Victoria, Noah, and Emma. Lucas said, \"Noah is a sage.\" Charlotte noted, \"Noah is a sage and Lucas is a fool and ((Noah is a fool or C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1065, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 0], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 0]], [\"not\", [... | {"split": "train", "index": 18843} |
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: Chloe, Isabella, Matthew, Jack, and Mia. In Chloe's words: \"Matthew is an altruist and Jack is an altruist\". Isabella told you that (if (Mia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"telling-tru... | {"split": "train", "index": 18844} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Isabella, Mason, Aiden, Emma, and Avery. In Isabella's words: \"(if (Emma is a laggard or Emma is a pioneer or Aiden is a laggard) then (Aiden ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 3], [\"and\"... | {"split": "train", "index": 18845} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, Penelope, Elizabeth, Daniel, and Grace. Ethan told you that ((Grace is an altruist or Ethan is an altruist) if and only if (Elizabeth is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"-... | {"split": "train", "index": 18846} |
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, Abigail, Jack, Mason, and Ella. \"Jack is a fool if and only if ((Ella is a sage or Mason is a sage) or (Mason is a fool if and only if Mason is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"<=>\", [\"lying\", 2], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1]... | {"split": "train", "index": 18847} |
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: Jackson, Sofia, James, Amelia, and Charlotte. Jackson said, \"it is not the case that (if (if Charlotte is an angel then Sofia is a devil) then (Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 4]]]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"tellin... | {"split": "train", "index": 18848} |
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, James, Aiden, Joseph, and Charlotte. Elizabeth asserted: \"if (Charlotte is a laggard and (if James is a pioneer then Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"and\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-tr... | {"split": "train", "index": 18849} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Benjamin, Grace, Chloe, and Joseph. Elizabeth stated, \"it is not the case that ((if Chloe is a devil then Chloe is an angel) and (Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 3]]], [\"not... | {"split": "train", "index": 18850} |
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, Avery, Lily, Sophia, and Joseph. Logan expressed that if Avery is a sage then ((Lily is a fool and Sophia is a sage) if and only if (Lily is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 18851} |
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, Elizabeth, Penelope, Sebastian, and Amelia. Harper said that ((if Elizabeth is a knave then Penelope is a knave) if and only if (Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 1], [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"telling-... | {"split": "train", "index": 18852} |
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, Sofia, Liam, Emma, and Sebastian. David said, \"if ((Sebastian is a laggard if and only if Liam is a laggard) and (Sofia is a laggard an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"not\", [\"tell... | {"split": "train", "index": 18853} |
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: Chloe, Ava, Benjamin, Isabella, and Lily. According to Chloe, \"if ((Lily is an angel if and only if Ava is an angel) if and only if Isabella is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"->... | {"split": "train", "index": 18854} |
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: Samuel, Riley, Isabella, Benjamin, and Emily. Samuel noted, \"it is not the case that ((Emily is a devil or Benjamin is a devil or Riley is a devil) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"<=... | {"split": "train", "index": 18855} |
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, Riley, Elizabeth, Joseph, and Avery. Ava expressed that (if (Ava is a devil) then (Avery is a devil or Riley is a devil or Elizabeth is an angel o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"tell... | {"split": "train", "index": 18856} |
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, Aurora, Chloe, Mason, and Ethan. Isabella remarked, \"((if Ethan is a sage then Mason is a fool) or (Isabella is a sage or Mason is a fool or Aur... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]]], ... | {"split": "train", "index": 18857} |
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: Mia, Logan, Isabella, Joseph, and Zoey. Mia said, \"it is not the case that (Isabella is an altruist).\" Logan expressed that Zoey is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"lying\", 4], [\"<=>\", [\"lying\", 0], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lyin... | {"split": "train", "index": 18858} |
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, Jackson, William, Lily, and Henry. Oliver said, \"Lily is an egoist.\" Jackson asserted: \"Oliver is an egoist\". William said, \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"lying\", 3], [\"lying\", 0], [\"not\", [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 1]]], [\"or... | {"split": "train", "index": 18859} |
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, William, Benjamin, Olivia, and Amelia. According to Harper, \"Benjamin is an egoist or (it is not the case that (Amelia is an egoist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\",... | {"split": "train", "index": 18860} |
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, Henry, Jackson, Lucas, and Samuel. Ella noted, \"it is not the case that ((Jackson is a sage and Samuel is a fool) if and only if Samuel is a sage)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\",... | {"split": "train", "index": 18861} |
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, William, Chloe, Mia, and Aiden. Amelia expressed that (if (Mia is a knave and William is a knight) then (Chloe is a knave)) and (if Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", ... | {"split": "train", "index": 18862} |
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, Aria, Penelope, Oliver, and Isabella. In a statement by Amelia: \"((Oliver is a hero if and only if Aria is a hero) or (Amelia is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 0]], [\"->\"... | {"split": "train", "index": 18863} |
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, Evelyn, Chloe, Owen, and Henry. Daniel asserted: \"if ((Owen is a laggard or Chloe is a laggard) or (Owen is a pioneer and Chloe is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]]]], [\"o... | {"split": "train", "index": 18864} |
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: Matthew, Emily, Elizabeth, Ethan, and Noah. Matthew stated, \"it is not the case that ((if Ethan is a knight then Emily is a knight) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [... | {"split": "train", "index": 18865} |
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, Sophia, Samuel, Emily, and Luke. Victoria remarked, \"it is not the case that (if Samuel is a hero then (Emily is a hero and Samuel is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-... | {"split": "train", "index": 18866} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, Avery, Ella, Emily, and William. Logan told you that it is not the case that (it is not the case that (if Emily is an altruist then Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"t... | {"split": "train", "index": 18867} |
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, Victoria, Olivia, Michael, and Lucas. \"((Lucas is an egoist and Victoria is an altruist and Michael is an altruist and Victoria is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"lying\", 2], [\"<=>\", [\"<=>\", [\"lying\", 3... | {"split": "train", "index": 18868} |
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: Ella, Benjamin, Alexander, Ethan, and Aiden. According to Ella, \"((Benjamin is a pioneer and Alexander is a pioneer) or (if Ethan is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]... | {"split": "train", "index": 18869} |
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, Aria, Luke, Evelyn, and Avery. Harper said that Evelyn is a villain. Aria told you that (if (Avery is a hero and Evelyn is a hero) then Luke ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 2]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth... | {"split": "train", "index": 18870} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Aria, Sebastian, David, and Alexander. Michael said, \"it is not the case that (if (Alexander is a sinner and David is a saint and Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 18871} |
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, Noah, Henry, Luke, and Emma. \"if ((Henry is a hero) and Noah is a hero) then ((Henry is a hero or Noah is a hero) or Luke is a villain or (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 18872} |
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: William, Michael, Daniel, Joseph, and Liam. William told you that Joseph is a sage. In a statement by Michael: \"(if (Daniel is a fool) then (Liam is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-... | {"split": "train", "index": 18873} |
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: Matthew, Ella, Abigail, Elizabeth, and Olivia. Matthew told you that if ((Olivia is a villain) and (Ella is a hero and Olivia is a villain and Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not... | {"split": "train", "index": 18874} |
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: Harper, Abigail, Scarlett, Noah, and Chloe. Harper said that Noah is a saint. Abigail asserted: \"if (Harper is a saint if and only if (Harper is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\... | {"split": "train", "index": 18875} |
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, Alexander, Aiden, Aurora, and Emma. Harper expressed that ((Emma is a knave) and Emma is a knave and Emma is a knight) or ((Alexander is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]... | {"split": "train", "index": 18876} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lucas, Ella, Jack, Olivia, and Zoey. Lucas remarked, \"if ((Lucas is a hero and Ella is a hero and Ella is a villain) or (Zoey is a villain if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying\", 1]]... | {"split": "train", "index": 18877} |
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: Aiden, Logan, William, Scarlett, and Jackson. Aiden commented, \"((if William is a sage then Scarlett is a sage) and (Jackson is a sage or Logan is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\... | {"split": "train", "index": 18878} |
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, Benjamin, Olivia, Sophia, and Liam. Amelia remarked, \"(it is not the case that (Sophia is an altruist)) if and only if (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-tru... | {"split": "train", "index": 18879} |
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, Aria, Scarlett, Elizabeth, and Henry. \"it is not the case that (it is not the case that (Elizabeth is an altruist and Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-... | {"split": "train", "index": 18880} |
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, James, William, Isabella, and Henry. Lucas commented, \"((if Henry is an angel then Isabella is an angel) if and only if (if James is an angel t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\"... | {"split": "train", "index": 18881} |
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, Amelia, Olivia, Luke, and Elizabeth. Alexander noted, \"((if Alexander is a saint then Luke is a sinner) or (Elizabeth is a sinner if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lyi... | {"split": "train", "index": 18882} |
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, Jackson, Ethan, Aiden, and Scarlett. Avery noted, \"(if (Ethan is a devil) then Jackson is a devil) and Ethan is a devil\". Jackson asserted: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 1]], [\"lying\", 2]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]], [\"lying\"... | {"split": "train", "index": 18883} |
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: Riley, Chloe, Daniel, Luke, and Amelia. Riley was heard saying, \"((Amelia is a hero and Daniel is a villain) or Daniel is a hero or Chloe is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]],... | {"split": "train", "index": 18884} |
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, Aiden, Amelia, Mason, and Sebastian. According to Michael, \"it is not the case that ((Amelia is a villain) if and only if (if Amelia is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 3]]]], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"not... | {"split": "train", "index": 18885} |
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, Daniel, Sophia, David, and Noah. Jack commented, \"it is not the case that ((Daniel is a knight) or (Noah is a knight if and only if Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"lying\", 2], [\"not\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"... | {"split": "train", "index": 18886} |
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, Jackson, Jacob, Riley, and Emily. Sofia said, \"Jackson is a knight.\" Jackson said that (if (Emily is a knight and Jacob is a knave and Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 18887} |
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: Luke, Jack, Evelyn, Ella, and Sophia. Luke stated, \"Ella is a sage if and only if ((Jack is a fool and Jack is a sage and Sophia is a fool and Evelyn is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1110, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"tellin... | {"split": "train", "index": 18888} |
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, Abigail, Jack, Emily, and Henry. As Victoria put it, \"if (it is not the case that (if Henry is an altruist then Victoria is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1111, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"lying\", 2]], [\"and\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 18889} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mason, Noah, Daniel, Joseph, and Elizabeth. Mason said, \"if (it is not the case that (Daniel is an altruist)) then ((Mason is an egoist) and D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1112, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 2], [\"and\", [\"telling-truth\", 1], ... | {"split": "train", "index": 18890} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ava, Michael, Victoria, Amelia, and Sofia. \"if Michael is a pioneer then (if (Michael is a pioneer and Victoria is a laggard and Sofia is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1113, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 18891} |
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, Elizabeth, Ella, Chloe, and Aria. \"(it is not the case that (if Chloe is an angel then Elizabeth is an angel)) if and only if (it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1114, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"tel... | {"split": "train", "index": 18892} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mason, Riley, Jack, Henry, and Amelia. Mason said, \"(it is not the case that (Henry is an altruist and Jack is an egoist)) if and only if ((Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1115, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 18893} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Grace, Aurora, Ethan, Zoey, and Scarlett. In a statement by Grace: \"((Zoey is a laggard if and only if Aurora is a laggard) and (Ethan is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1116, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 18894} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Elizabeth, Aurora, Aria, Alexander, and Oliver. Elizabeth remarked, \"((Oliver is an egoist) or (Aria is an altruist) or (Aurora is an egoist a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1117, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"lying\"... | {"split": "train", "index": 18895} |
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: Alexander, Jacob, Zoey, Logan, and Mason. Alexander stated, \"if ((Mason is an egoist) if and only if (if Mason is an altruist then Zoey is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1118, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 3]], [\"->\", [\... | {"split": "train", "index": 18896} |
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, William, Chloe, Ella, and Aria. As Sofia put it, \"((if William is a knave then Chloe is a knave) and Aria is a knave and (if William is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1119, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 18897} |
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, Emma, Chloe, Oliver, and Riley. \"Riley is a villain,\" Sofia claimed. Emma remarked, \"if (it is not the case that (Oliver is a hero if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1120, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"and\", [\"t... | {"split": "train", "index": 18898} |
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, Harper, Olivia, Mia, and Samuel. Mason told you that Mia is a knave or (it is not the case that (Harper is a knight if and only if Samuel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1121, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 18899} |
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