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: Riley, Benjamin, James, Grace, and William. In a statement by Riley: \"((Grace is a sage and Benjamin is a fool) or (if William is a sage then Riley is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1044, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", ... | {"split": "train", "index": 16600} |
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, Emma, Ethan, Aurora, and Liam. \"it is not the case that ((Emma is a laggard) if and only if (Ethan is a pioneer)),\" Abigail declared... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1045, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 16601} |
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, Grace, Jackson, Zoey, and Noah. Harper commented, \"if (if (Noah is a hero if and only if Grace is a hero) then Zoey is a villain) then ((Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1046, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 3]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]],... | {"split": "train", "index": 16602} |
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, Mia, Lily, Michael, and Olivia. \"((if Olivia is an altruist then Lily is an altruist) if and only if Lily is an egoist) and ((if Lily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1047, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]],... | {"split": "train", "index": 16603} |
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, Aurora, Harper, Owen, and Olivia. \"((Olivia is a sage or Aurora is a sage) or (if Harper is a sage then Owen is a sage) or (Harper is a sage if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1048, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"and\", [\"not\... | {"split": "train", "index": 16604} |
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, Owen, Isabella, Abigail, and Samuel. \"((Chloe is a hero if and only if Owen is a hero) and (Samuel is a hero or Abigail is a villain) and (Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1049, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"no... | {"split": "train", "index": 16605} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, Sofia, Jacob, Ethan, and Amelia. Penelope said that Jacob is a saint. As Sofia put it, \"Amelia is a sinner\". In Jacob's words: \"(if (Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1050, \"statements\": [[\"telling-truth\", 2], [\"lying\", 4], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling-truth\"... | {"split": "train", "index": 16606} |
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, Zoey, Jackson, and Grace. Amelia commented, \"Grace is a hero\". \"if ((Zoey is a hero if and only if Grace is a villain) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1051, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 0]], [\"not\", [\"not\", [\"->... | {"split": "train", "index": 16607} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Grace, Riley, James, and Ella. Zoey asserted: \"((Grace is a devil) and (James is an angel) and (Riley is an angel or Ella is an angel or James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1052, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 16608} |
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: Harper, David, Ava, Emma, and Henry. Harper said that if (if (Ava is a fool if and only if Henry is a fool) then (David is a fool or Emma is a sage or Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1053, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], ... | {"split": "train", "index": 16609} |
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: Jackson, Riley, Ella, Grace, and James. Jackson expressed that Grace is a pioneer and Riley is a pioneer. \"if Ella is a pioneer then (if (Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1054, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]]], [\"->\"... | {"split": "train", "index": 16610} |
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: Noah, Sophia, Avery, Charlotte, and Liam. Noah asserted: \"if (it is not the case that (Sophia is a pioneer if and only if Liam is a laggard)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1055, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"<=>\", [\"telling-truth\", 0], [... | {"split": "train", "index": 16611} |
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: Lily, Riley, William, Zoey, and Penelope. \"Riley is a villain\" - Lily. Riley asserted: \"((Riley is a hero or Lily is a villain or William is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1056, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 16612} |
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, Lucas, Ethan, Liam, and William. Henry said that it is not the case that (if (Ethan is a pioneer and Lucas is a laggard) then (William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1057, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"... | {"split": "train", "index": 16613} |
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: Alexander, Aiden, James, Mia, and Penelope. As Alexander put it, \"if ((Penelope is an angel and Aiden is an angel and Mia is an angel) or (Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1058, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth... | {"split": "train", "index": 16614} |
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: Elizabeth, Logan, Michael, Aurora, and Luke. In a statement by Elizabeth: \"(it is not the case that (if Logan is a sinner then Luke is a saint)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1059, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 16615} |
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: Oliver, Henry, Aurora, Liam, and Grace. In Oliver's words: \"(it is not the case that (if Henry is a pioneer then Grace is a pioneer)) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1060, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [... | {"split": "train", "index": 16616} |
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, Lily, Harper, Michael, and Liam. Samuel expressed that Harper is an angel. Lily said that if (it is not the case that (Liam is a devil if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1061, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 2]]], [\"telling-... | {"split": "train", "index": 16617} |
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: Logan, Zoey, Lily, Liam, and Sebastian. \"(it is not the case that (Zoey is a knight or Zoey is a knave or Sebastian is a knight)) if and only if ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1062, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"no... | {"split": "train", "index": 16618} |
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, Riley, Michael, Victoria, and Henry. Aurora said, \"Henry is an egoist.\" Riley said, \"((Michael is an altruist if and only if Victori... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1063, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3... | {"split": "train", "index": 16619} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Matthew, Liam, Amelia, and Elizabeth. \"if ((if Matthew is a sinner then Liam is a sinner) or Liam is a saint) then (Liam is a saint or (Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1064, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 16620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Noah, Jack, Joseph, and Ethan. As Scarlett put it, \"((Noah is a knight if and only if Noah is a knave) and Joseph is a knight) and (if (Jo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1065, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 16621} |
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: Sofia, Sebastian, Ava, Avery, and Penelope. As Sofia put it, \"((Ava is a laggard if and only if Avery is a pioneer) or Sofia is a pioneer or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"lying\", 1]], [\"or\", [\"not\", [\"telling-truth\", 4]... | {"split": "train", "index": 16622} |
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: Ava, Olivia, William, Jack, and Victoria. Ava said, \"((if Jack is an altruist then William is an altruist) or (Olivia is an egoist or Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"lying\", 3], [\... | {"split": "train", "index": 16623} |
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: Chloe, Elizabeth, Noah, Aiden, and Isabella. Chloe said that it is not the case that (it is not the case that (Noah is a laggard if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 16624} |
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: Logan, Abigail, Amelia, David, and James. In a statement by Logan: \"David is a hero or (it is not the case that (James is a hero if and only if Abig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"and\", [\"lying\", 2], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 16625} |
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, Aiden, Mia, Chloe, and Noah. As Jack put it, \"((if Noah is a knave then Jack is a knight) or Aiden is a knight) and ((Jack is a knight and Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]],... | {"split": "train", "index": 16626} |
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: Victoria, Riley, Lily, Alexander, and Avery. Victoria told you that if (it is not the case that (Alexander is a sinner if and only if Avery is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"and\", [\"not\", [\"not\", [\"lying\", 4]... | {"split": "train", "index": 16627} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Michael, Samuel, Ava, Joseph, and Mason. Michael noted, \"Samuel is a devil and ((if Samuel is an angel then Mason is an angel) if and only if (if Jose... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 16628} |
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: Chloe, Aurora, Olivia, Evelyn, and Amelia. According to Chloe, \"if ((if Amelia is a laggard then Aurora is a pioneer) and Olivia is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"telling-truth\", ... | {"split": "train", "index": 16629} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Scarlett, Avery, Ella, and Liam. Zoey said that (it is not the case that (Scarlett is a knave and Ella is a knave)) and (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]]], [\"a... | {"split": "train", "index": 16630} |
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, William, Lucas, Benjamin, and Oliver. \"it is not the case that (if (Lucas is a laggard) then (if Lucas is a laggard then Lucas is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]]], [\"and\", [\"n... | {"split": "train", "index": 16631} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Penelope, Luke, Noah, and Emma. \"it is not the case that ((Noah is a villain if and only if Noah is a hero) and (Penelope is a villain an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 1]]... | {"split": "train", "index": 16632} |
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, Olivia, Henry, Evelyn, and Lily. As Samuel put it, \"((Lily is a villain and Olivia is a villain) or (Lily is a villain or Olivia is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 3]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=... | {"split": "train", "index": 16633} |
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: Emma, Penelope, Charlotte, Ella, and Oliver. In Emma's words: \"it is not the case that (it is not the case that (Penelope is a villain if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 2], [\"telling... | {"split": "train", "index": 16634} |
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, Evelyn, Logan, Matthew, and Oliver. Elizabeth noted, \"((Logan is an angel if and only if Matthew is an angel) and Matthew is a devil and (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 0],... | {"split": "train", "index": 16635} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jack, Olivia, Sofia, Isabella, and Luke. Jack was heard saying, \"((if Luke is a hero then Olivia is a villain) if and only if (Olivia is a hero or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"<... | {"split": "train", "index": 16636} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Grace, Jack, Jacob, and Lucas. Amelia noted, \"(if (Amelia is a saint and Jacob is a sinner) then (Jacob is a sinner or Jack is a saint)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 16637} |
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, Elizabeth, Aiden, Ella, and Benjamin. In Lily's words: \"it is not the case that ((Benjamin is a sage or Elizabeth is a fool) and (Elizabeth is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"lying\", 0], [\"tell... | {"split": "train", "index": 16638} |
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: Grace, Owen, Sebastian, Luke, and Scarlett. \"((Luke is a devil and Luke is an angel) if and only if (Scarlett is a devil if and only if Grace is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\... | {"split": "train", "index": 16639} |
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, Emma, Scarlett, Sofia, and Chloe. Aurora said that (Scarlett is a sage or (Sofia is a fool if and only if Aurora is a sage)) if and only if (it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"and\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 16640} |
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, Aiden, Liam, Chloe, and Owen. As Penelope put it, \"it is not the case that (if Owen is a hero then (Liam is a hero and Penelope is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 0], [\"telling-truth\", 4]... | {"split": "train", "index": 16641} |
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: Noah, William, Sophia, Evelyn, and Daniel. Noah remarked, \"if Evelyn is a laggard then (Evelyn is a pioneer if and only if (William is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"->\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"lying\", 1]]]], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"or\", [\"telling-tru... | {"split": "train", "index": 16642} |
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, Benjamin, Penelope, Ethan, and Abigail. William expressed that (it is not the case that (William is a pioneer or Abigail is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 16643} |
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, Avery, Zoey, Michael, and Abigail. In Aiden's words: \"(it is not the case that (Abigail is a sage and Abigail is a fool and Avery is a fool)) or (Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 2]... | {"split": "train", "index": 16644} |
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: Olivia, Charlotte, Samuel, Aiden, and Aurora. Olivia said, \"it is not the case that (if Charlotte is an altruist then Aurora is an altruist).\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"no... | {"split": "train", "index": 16645} |
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: Aiden, Chloe, Abigail, Luke, and Owen. \"Luke is a knave,\" Aiden declared. Chloe stated, \"(if (if Aiden is a knave then Owen is a knight) then (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]... | {"split": "train", "index": 16646} |
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: Lily, Chloe, William, David, and Joseph. Lily said that (Chloe is an angel or (if William is an angel then David is an angel) or (William is a devil or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 16647} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Ella, Aurora, Emily, and Samuel. Sofia said, \"((Samuel is a devil and Samuel is an angel) and (Aurora is an angel)) if and only if (if (Ella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\... | {"split": "train", "index": 16648} |
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: Matthew, Alexander, Owen, Olivia, and Sebastian. Matthew asserted: \"it is not the case that (if Owen is a saint then (Owen is a saint if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"or\", [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\... | {"split": "train", "index": 16649} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ella, Henry, Jack, Aurora, and James. Ella was heard saying, \"it is not the case that (if (Henry is an egoist if and only if Aurora is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 3]]]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telli... | {"split": "train", "index": 16650} |
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: Lily, Evelyn, Liam, Jacob, and Jackson. Lily expressed that Evelyn is a devil if and only if (if (Lily is an angel or Jacob is a devil or Jackson is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"<=>\", [\"lying\", 1], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"not\", [\"lying\", 4]... | {"split": "train", "index": 16651} |
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: Lucas, Elizabeth, Sophia, Chloe, and Owen. Lucas asserted: \"(if (Chloe is an egoist if and only if Elizabeth is an egoist) then (if Sophia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"lying\", 3]], [\"telling-truth\", 1], [\"and\", [\"->\", ... | {"split": "train", "index": 16652} |
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: Aurora, Victoria, Grace, Michael, and Liam. Aurora said that Grace is a villain. Victoria told you that it is not the case that ((Michael is a hero a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"lying\", 2], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 3]]]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 16653} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sophia, Mason, Chloe, Matthew, and Ava. Sophia stated, \"(Chloe is an egoist if and only if Matthew is an altruist) and Mason is an altruist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"->\", [\"->\", [\"lying\", 4], [\"<=... | {"split": "train", "index": 16654} |
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, Sofia, Alexander, Owen, and Scarlett. Victoria stated, \"(it is not the case that (Sofia is a knave if and only if Victoria is a knight)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth... | {"split": "train", "index": 16655} |
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, Sophia, Mia, Ethan, and Benjamin. As Jack put it, \"Sophia is a knave and (if (Mia is a knave if and only if Mia is a knight) then (Mia is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\",... | {"split": "train", "index": 16656} |
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, Joseph, Chloe, Elizabeth, and Ethan. Zoey was heard saying, \"(it is not the case that (Elizabeth is an altruist or Chloe is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]]], [\"... | {"split": "train", "index": 16657} |
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: William, Luke, Charlotte, Aiden, and Aurora. William asserted: \"((if Charlotte is an egoist then Luke is an altruist) if and only if (Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telli... | {"split": "train", "index": 16658} |
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: Mason, Jack, Olivia, Jacob, and James. Mason stated, \"it is not the case that ((Jacob is a saint and Mason is a saint and Olivia is a sinner) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"lying\", 3], [\"or\", [\"ly... | {"split": "train", "index": 16659} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Elizabeth, Noah, Olivia, and Benjamin. Scarlett asserted: \"Elizabeth is a knave\". \"((Elizabeth is a knight and Benjamin is a knave) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"tell... | {"split": "train", "index": 16660} |
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, Elizabeth, Noah, Sophia, and Olivia. Sofia was heard saying, \"((if Elizabeth is a hero then Noah is a villain) if and only if (Olivia is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"->\", [\"and\", [\"or\", [\"lyin... | {"split": "train", "index": 16661} |
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, Sebastian, Chloe, Mason, and Michael. Avery noted, \"if (if Chloe is a sinner then Michael is a saint) then ((Chloe is a sinner) and (Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"lying\", 2], [\"or\", [\"and\", [\"and\", [\"tellin... | {"split": "train", "index": 16662} |
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: James, Luke, Grace, Evelyn, and Jacob. James asserted: \"Grace is an angel\". Luke expressed that it is not the case that (Grace is a devil or (if Jaco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]... | {"split": "train", "index": 16663} |
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, Benjamin, Lily, Henry, and Emily. Evelyn asserted: \"if (if (Emily is a sage) then (Lily is a fool and Benjamin is a sage)) then ((if Emily is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 2]]], [\"and\", [\"... | {"split": "train", "index": 16664} |
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: Noah, Samuel, Michael, Amelia, and Victoria. Noah commented, \"Victoria is a hero\". \"(it is not the case that (if Amelia is a hero then Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], ... | {"split": "train", "index": 16665} |
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: David, Sebastian, Michael, James, and Emily. David told you that Michael is a fool or (if David is a sage then (if Sebastian is a fool then James is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1110, \"statements\": [[\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 16666} |
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, Abigail, Noah, Matthew, and Aurora. In a statement by Benjamin: \"it is not the case that ((Benjamin is a knave) and (Aurora is a knight or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1111, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [... | {"split": "train", "index": 16667} |
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: Sophia, Emily, James, Liam, and Olivia. \"Emily is a sage or ((Liam is a sage or Liam is a fool) and (Emily is a sage if and only if Liam is a sage) and Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1112, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"lying\", 2]], [\"not\",... | {"split": "train", "index": 16668} |
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: Emily, Jack, Michael, Lily, and Samuel. Emily asserted: \"Lily is a sage and (Samuel is a sage if and only if (Samuel is a sage or Lily is a sage or Jack i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1113, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth... | {"split": "train", "index": 16669} |
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, Abigail, Ethan, Elizabeth, and Lucas. According to Mason, \"(if (Lucas is a knight) then (if Lucas is a knave then Elizabeth is a knave)) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1114, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 3]], [\"and\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 16670} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Joseph, David, Sebastian, and Victoria. Scarlett asserted: \"if (it is not the case that (Scarlett is a knave)) then ((Sebastian is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1115, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"... | {"split": "train", "index": 16671} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Ella, Jackson, Mia, and Abigail. Olivia commented, \"((Ella is a saint if and only if Ella is a sinner) and (Olivia is a sinner)) and (it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1116, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"l... | {"split": "train", "index": 16672} |
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, Ethan, Sofia, Aiden, and Ava. Chloe expressed that (if Ava is a devil then (if Ethan is a devil then Sofia is a devil)) or ((Ava is a devil if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1117, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"lying\", 3]], [\"ly... | {"split": "train", "index": 16673} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Benjamin, Isabella, David, and Liam. According to Aria, \"(if (Aria is an egoist) then (if Isabella is an egoist then David is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1118, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lyin... | {"split": "train", "index": 16674} |
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: Mia, Jacob, Grace, Michael, and Lily. Mia remarked, \"((if Lily is a pioneer then Lily is a laggard) if and only if (Jacob is a laggard if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1119, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"... | {"split": "train", "index": 16675} |
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: Jacob, Noah, Charlotte, Ethan, and Henry. Jacob told you that it is not the case that (if (Noah is a villain if and only if Ethan is a hero) then (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1120, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-t... | {"split": "train", "index": 16676} |
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, Sophia, Matthew, Emily, and Noah. As Daniel put it, \"it is not the case that ((Matthew is a laggard) and (Sophia is a pioneer) and (No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1121, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"or\", [\"not\", [\"lying\", 3]], [\"->\"... | {"split": "train", "index": 16677} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Zoey, Abigail, Luke, and Sebastian. William noted, \"((Abigail is a devil and Sebastian is an angel and Zoey is a devil) and (William is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\",... | {"split": "train", "index": 16678} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, William, Scarlett, Mia, and Ella. Avery asserted: \"Mia is a knight\". William said, \"if ((Mia is a knight) if and only if (Ella is a knave i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 3], ... | {"split": "train", "index": 16679} |
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: Ella, Lucas, Lily, William, and Olivia. \"it is not the case that (it is not the case that (William is a sinner or Lily is a sinner or Olivia is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]]]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 16680} |
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: Zoey, Sebastian, Jacob, Noah, and Ethan. Zoey noted, \"((if Jacob is a pioneer then Sebastian is a pioneer) or (if Noah is a pioneer then Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"telling-t... | {"split": "train", "index": 16681} |
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, Daniel, Zoey, Ella, and Victoria. Sebastian stated, \"Ella is an altruist\". In Daniel's words: \"Sebastian is an altruist\". In Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", ... | {"split": "train", "index": 16682} |
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, David, Daniel, Scarlett, and Mia. Abigail commented, \"Daniel is a sage\". David expressed that (it is not the case that (David is a sage or Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"lying\", 0], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1]... | {"split": "train", "index": 16683} |
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, Ella, Sofia, Sophia, and Emily. In Avery's words: \"it is not the case that (if (Ella is an angel if and only if Emily is an angel) then (Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\",... | {"split": "train", "index": 16684} |
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: Luke, Mia, Aurora, Grace, and Ethan. \"(if (Grace is an egoist or Grace is an altruist or Mia is an egoist) then (Ethan is an altruist)) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\",... | {"split": "train", "index": 16685} |
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, Scarlett, Benjamin, Penelope, and Alexander. Aurora told you that it is not the case that (Penelope is a knight or (Benjamin is a knight and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], ... | {"split": "train", "index": 16686} |
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: William, Noah, Elizabeth, Henry, and Emily. \"Elizabeth is an altruist or (it is not the case that (Elizabeth is an egoist)),\" William declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"not\", [\"not\", [\"lying\", 0]]], [\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 2], [\"telli... | {"split": "train", "index": 16687} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Mia, Penelope, Emma, and Owen. Benjamin commented, \"((if Owen is a pioneer then Benjamin is a pioneer) if and only if Penelope is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 16688} |
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, William, Aria, Lucas, and Noah. \"(it is not the case that (Aria is an altruist or Noah is an altruist or Noah is an egoist)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 16689} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Owen, Isabella, Sebastian, Ethan, and Amelia. Owen remarked, \"if (Isabella is a pioneer or (Owen is a pioneer or Ethan is a pioneer)) then ((E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 16690} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Scarlett, Harper, Ethan, Liam, and Owen. Scarlett told you that Liam is a sinner. As Harper put it, \"it is not the case that ((Ethan is a saint) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 16691} |
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: Samuel, Noah, Elizabeth, Jack, and Amelia. Samuel told you that if ((Samuel is a saint or Jack is a sinner or Amelia is a saint) if and only if (Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\... | {"split": "train", "index": 16692} |
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: Jackson, Jack, Aiden, Emily, and Samuel. Jackson stated, \"Emily is a laggard\". Jack stated, \"((Emily is a pioneer if and only if Aiden is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"lying\", 4]], [\"lying\", 1], [\"not\", [\"or\", [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 16693} |
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, Mason, Riley, Lucas, and Scarlett. As Avery put it, \"Mason is a devil\". Mason was heard saying, \"it is not the case that (if (if Lucas is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"lying\", 3], [\"not\", [\"or\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 16694} |
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, Henry, Harper, Ethan, and Zoey. \"if Ethan is a fool then ((Henry is a fool) or (Ethan is a sage or Henry is a sage) or (Harper is a sage or Ethan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"->\", [\"lying\", 3], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"not\", [\"or\", [\"<=... | {"split": "train", "index": 16695} |
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: Jackson, Charlotte, Grace, David, and Jacob. Jackson told you that if ((if Grace is an egoist then David is an egoist) and (Grace is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], ... | {"split": "train", "index": 16696} |
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, Jackson, Lucas, Ella, and Mia. \"Jackson is an altruist\" - Liam. Jackson said, \"(Liam is an egoist and (Lucas is an egoist if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 4]],... | {"split": "train", "index": 16697} |
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: Penelope, Isabella, Oliver, Victoria, and Avery. Penelope said, \"(if (Victoria is a laggard or Avery is a laggard) then (Avery is a pioneer or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [... | {"split": "train", "index": 16698} |
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, Victoria, Isabella, Elizabeth, and Amelia. In Evelyn's words: \"it is not the case that (it is not the case that (Evelyn is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]... | {"split": "train", "index": 16699} |
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