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 heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Charlotte, Alexander, Amelia, Evelyn, and Ella. In a statement by Charlotte: \"Evelyn is a villain\". Alexander noted, \"(if (Alexander is a hero if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]],... | {"split": "train", "index": 14400} |
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: Ethan, Joseph, Chloe, Lily, and Emma. Ethan commented, \"if ((Emma is a saint and Chloe is a sinner) if and only if (Chloe is a sinner and Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"t... | {"split": "train", "index": 14401} |
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: David, Henry, Jackson, Avery, and Lucas. \"it is not the case that ((Jackson is a sinner) and (if Lucas is a saint then Henry is a saint))\" - David.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\... | {"split": "train", "index": 14402} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emily, Avery, Sofia, Zoey, and Jack. Emily said, \"if (it is not the case that (if Sofia is a laggard then Zoey is a laggard)) then ((Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"not\", [\"... | {"split": "train", "index": 14403} |
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, Grace, Isabella, Mason, and Benjamin. In Sophia's words: \"Sophia is a sage if and only if ((Isabella is a sage and Benjamin is a sage) or (Isabell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"->\", [\"lying\", 0], [\"te... | {"split": "train", "index": 14404} |
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, Isabella, Sofia, and Jackson. James expressed that it is not the case that (James is a devil). Luke said that (James is a devil or (Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 0], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]]], ... | {"split": "train", "index": 14405} |
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, Mason, Sebastian, Oliver, and Jacob. James said that Mason is a knave. Mason said, \"if ((James is a knight) or (if Jacob is a knight then Seb... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"lying\", 1], [\"->\", [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"ly... | {"split": "train", "index": 14406} |
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, Evelyn, Zoey, Grace, and Liam. Ella said that (Grace is a fool) if and only if ((if Evelyn is a fool then Liam is a sage) and (Liam is a sage)). \"if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\... | {"split": "train", "index": 14407} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Lily, Evelyn, Aurora, and Riley. Samuel stated, \"Riley is a knave\". Lily asserted: \"((Riley is a knave or Samuel is a knave) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 14408} |
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, Luke, Daniel, Ava, and Emma. Emily remarked, \"(Daniel is a sage) or (Emily is a sage if and only if Emma is a sage)\". As Luke put it, \"((Emily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"not\", [\"lying\", 0]]], [\"not\"... | {"split": "train", "index": 14409} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Riley, Logan, Sofia, and Owen. Evelyn expressed that ((Owen is an angel or Sofia is an angel) if and only if (Evelyn is a devil)) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"<=>\", [\"not\",... | {"split": "train", "index": 14410} |
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, Isabella, Scarlett, Samuel, and Aurora. Emma expressed that Samuel is a villain and (Emma is a villain). Isabella told you that it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"and\", [\"lying\", 3], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"or\"... | {"split": "train", "index": 14411} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Isabella, Mia, Emma, and James. Victoria asserted: \"it is not the case that ((Victoria is a laggard) or (Emma is a laggard and Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"tellin... | {"split": "train", "index": 14412} |
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, Aria, Elizabeth, Jacob, and Luke. Amelia asserted: \"(Jacob is a knave or (Jacob is a knave and Amelia is a knight)) if and only if Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 4]]], [\"... | {"split": "train", "index": 14413} |
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, Daniel, Scarlett, Elizabeth, and Owen. \"((Elizabeth is a devil and James is an angel) and (Daniel is a devil or Owen is a devil)) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 1]]]],... | {"split": "train", "index": 14414} |
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: Emma, Evelyn, Elizabeth, Aurora, and William. As Emma put it, \"(Emma is an angel if and only if (Evelyn is an angel)) or (if (William is an angel and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\", [\"and\... | {"split": "train", "index": 14415} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aiden, Joseph, Ethan, Zoey, and Olivia. Aiden said that (if (Zoey is a laggard or Olivia is a pioneer) then (Olivia is a laggard if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 14416} |
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, Ethan, Owen, Logan, and Oliver. Jack said, \"((Oliver is a sage and Logan is a sage) and (Logan is a sage or Ethan is a sage)) or ((Oliver is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\... | {"split": "train", "index": 14417} |
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, Elizabeth, Logan, Zoey, and Ella. \"it is not the case that ((Logan is a knave) if and only if (Aiden is a knight or Zoey is a knight)),\" Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"telling-truth\", 3], [\"lying\", 3], [\"not\", [\"->\", [\"or\", [\"lying\", 4], [\"t... | {"split": "train", "index": 14418} |
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, Ethan, Jacob, Penelope, and James. Chloe told you that (if James is a laggard then (James is a pioneer)) and ((Ethan is a laggard or Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"lying\", 4], [\"->\", [\"... | {"split": "train", "index": 14419} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Jack, Emily, Jackson, and Owen. Scarlett commented, \"if ((Jackson is a pioneer) if and only if (if Owen is a pioneer then Jack is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"and\", [\"and\", [\"or\", [\"tel... | {"split": "train", "index": 14420} |
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: Mason, Sofia, David, Luke, and Zoey. \"(Zoey is a fool or Sofia is a sage) or ((David is a sage or Zoey is a sage) or (if Sofia is a sage then Zoey is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"and\", [\"or\"... | {"split": "train", "index": 14421} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Sophia, Jack, Aurora, and Oliver. Sebastian noted, \"if ((Aurora is a villain) if and only if (Jack is a hero and Aurora is a hero)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\... | {"split": "train", "index": 14422} |
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, Victoria, Benjamin, Sofia, and Mason. Logan said that (it is not the case that (if Mason is an egoist then Sofia is an altruist)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 14423} |
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, Joseph, Michael, Isabella, and Lily. \"(if (Joseph is an altruist and Isabella is an egoist) then (Isabella is an altruist)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 14424} |
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, Aria, Victoria, Jackson, and Abigail. In Amelia's words: \"(it is not the case that (Jackson is an egoist or Victoria is an egoist)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 14425} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Aurora, Ava, Olivia, and Charlotte. Joseph said, \"it is not the case that (if (Aurora is a villain) then (if Olivia is a hero then Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\... | {"split": "train", "index": 14426} |
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, Ethan, Isabella, Penelope, and Noah. In Grace's words: \"((Noah is a saint or Penelope is a saint) and (Grace is a saint or Isabella is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"lying\", 4], [\"->\... | {"split": "train", "index": 14427} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Sophia, David, Henry, and Luke. According to Zoey, \"if ((Luke is a fool) and (David is a fool if and only if Luke is a fool)) then (it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"<=>\", [\"->\", [\"ly... | {"split": "train", "index": 14428} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Sebastian, Isabella, Sofia, and Aurora. Ethan noted, \"if ((if Isabella is a knave then Sebastian is a knight) and Isabella is a knight) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"or\", [\"telling-... | {"split": "train", "index": 14429} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, William, Elizabeth, Jackson, and Aiden. \"it is not the case that ((Aiden is an angel if and only if Jackson is a devil) if and only if (William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [... | {"split": "train", "index": 14430} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aurora, Charlotte, Daniel, Emily, and Noah. Aurora was heard saying, \"if ((if Charlotte is a sinner then Noah is a saint) and (Daniel is a saint or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"telling-t... | {"split": "train", "index": 14431} |
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, Riley, Benjamin, Chloe, and Ethan. In a statement by Luke: \"Benjamin is an altruist if and only if ((Benjamin is an egoist if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"and\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\",... | {"split": "train", "index": 14432} |
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, Benjamin, Ava, Abigail, and David. In Victoria's words: \"if (Abigail is a hero or (David is a hero or Victoria is a hero)) then (David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]],... | {"split": "train", "index": 14433} |
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: Owen, Emily, Alexander, Jacob, and Liam. Owen asserted: \"(Liam is a sinner or (Liam is a saint or Liam is a sinner)) and ((Emily is a sinner if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"... | {"split": "train", "index": 14434} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Lily, Mia, Ella, and Mason. Isabella told you that ((Ella is a knave if and only if Mason is a knight) and Mia is a knave) and ((Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 2]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"not\",... | {"split": "train", "index": 14435} |
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: William, Isabella, Riley, Daniel, and Noah. William said that Isabella is a sinner if and only if ((Daniel is a sinner) if and only if (Isabella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\",... | {"split": "train", "index": 14436} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Noah, Daniel, Abigail, Samuel, and James. Noah said that ((Abigail is a devil if and only if Noah is an angel) if and only if (Samuel is an angel and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"or\", [\"->\", ... | {"split": "train", "index": 14437} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Isabella, James, Ethan, and Henry. Alexander said that ((if Ethan is a knave then Henry is a knight) and (Henry is a knight)) or ((Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], ... | {"split": "train", "index": 14438} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Jackson, David, Sebastian, and Sofia. Liam said, \"if (it is not the case that (David is a fool)) then Sofia is a fool.\" Jackson told you that Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\", 4]], [\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 14439} |
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, Jack, Benjamin, and Aiden. Penelope expressed that (it is not the case that (Benjamin is a saint or Jack is a sinner)) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"<=>\", [\"->\",... | {"split": "train", "index": 14440} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Avery, Chloe, James, Logan, and Grace. \"it is not the case that ((if Avery is an altruist then Logan is an egoist) or (Logan is an egoist or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 1], [\... | {"split": "train", "index": 14441} |
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, Mia, Olivia, Ella, and David. Isabella said that ((if Ella is a sage then Olivia is a fool) or (Olivia is a sage)) or ((Olivia is a sage and Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-tr... | {"split": "train", "index": 14442} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Harper, Evelyn, Samuel, and Abigail. \"Abigail is a pioneer,\" Riley mentioned. As Harper put it, \"if (if (Evelyn is a pioneer if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"<=>... | {"split": "train", "index": 14443} |
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, Joseph, Benjamin, Charlotte, and Zoey. In a statement by Harper: \"Joseph is a villain\". As Joseph put it, \"(it is not the case that (if Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1110, \"statements\": [[\"lying\", 1], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 0]]]], [\"lying\", 4], [\"->\", [\"and\", [\"and\... | {"split": "train", "index": 14444} |
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, Elizabeth, Scarlett, Emma, and Matthew. In Henry's words: \"((Henry is a sage and Matthew is a fool) or (Henry is a sage and Elizabeth is a sage)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1111, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 2]... | {"split": "train", "index": 14445} |
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: Olivia, Jacob, Ava, Noah, and Lucas. Olivia said, \"if ((Olivia is a laggard) or (Ava is a pioneer or Ava is a laggard)) then (if (Noah is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1112, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2]... | {"split": "train", "index": 14446} |
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, Ethan, Ava, Amelia, and Sofia. \"(Ethan is a devil if and only if (Ethan is a devil if and only if Ava is a devil)) or Sofia is an angel,\" Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1113, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"and\", [\"not\", [\"lying\", 0]], [\"an... | {"split": "train", "index": 14447} |
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: Mason, Liam, Lily, Abigail, and Avery. Mason noted, \"(it is not the case that (Abigail is a pioneer and Avery is a pioneer)) or Lily is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1114, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"lying\", 2]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"not\", [\"a... | {"split": "train", "index": 14448} |
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: Sofia, Ava, Sebastian, Olivia, and Emily. \"(if (Ava is a sinner) then (Olivia is a saint if and only if Olivia is a sinner)) or ((Olivia is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1115, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 1]]], [\"telling-truth\", ... | {"split": "train", "index": 14449} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Daniel, Sebastian, Grace, Aiden, and Abigail. Daniel noted, \"if (Abigail is an altruist or (Aiden is an altruist or Grace is an altruist)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1116, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4]]]]... | {"split": "train", "index": 14450} |
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: Michael, Grace, Luke, Mia, and Ella. Michael commented, \"Michael is an altruist or (it is not the case that (Grace is an egoist))\". According... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1117, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 14451} |
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, Jacob, Ella, Oliver, and Riley. Ava said that ((Ava is an altruist if and only if Ella is an egoist) and (Oliver is an egoist or Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1118, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 3]]], [\"o... | {"split": "train", "index": 14452} |
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: Riley, Matthew, Aurora, Evelyn, and Luke. Riley was heard saying, \"(if (if Aurora is a devil then Matthew is an angel) then (if Aurora is an angel the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1119, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 3... | {"split": "train", "index": 14453} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emma, Isabella, Liam, Henry, and Amelia. Emma said, \"((Liam is a sage or Amelia is a fool) or (Henry is a fool or Liam is a fool)) if and only if ((Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1120, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]], [... | {"split": "train", "index": 14454} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Oliver, Amelia, Elizabeth, and Zoey. Isabella was heard saying, \"if (Isabella is a knight or (if Amelia is a knight then Elizabeth is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1121, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"and\", [\"tel... | {"split": "train", "index": 14455} |
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, Luke, Benjamin, Oliver, and Mia. \"(it is not the case that (Mia is a sage and Luke is a fool)) and Benjamin is a fool,\" Owen declared. Luke told yo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 2]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"lying\", 3],... | {"split": "train", "index": 14456} |
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: Jacob, Noah, Abigail, Sophia, and Samuel. \"Sophia is an egoist if and only if (it is not the case that (if Abigail is an altruist then Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"<=>\", [\"lying\", 3], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"or\",... | {"split": "train", "index": 14457} |
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, Sofia, Mason, Logan, and Daniel. Grace expressed that Sofia is a devil. \"if ((if Logan is a devil then Sofia is an angel) and (if Grace is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2... | {"split": "train", "index": 14458} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Olivia, Lily, Charlotte, and Owen. Ethan commented, \"Ethan is a knight if and only if ((Owen is a knight or Lily is a knight) or (Olivia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-t... | {"split": "train", "index": 14459} |
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, Victoria, Avery, Michael, and Evelyn. Zoey noted, \"if ((Evelyn is a hero or Victoria is a villain) if and only if (if Avery is a hero then Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2],... | {"split": "train", "index": 14460} |
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: Aurora, Lucas, Alexander, Mason, and Abigail. Aurora commented, \"(it is not the case that (Mason is an angel if and only if Alexander is an angel)) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 14461} |
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, Matthew, Mia, Aria, and Grace. Zoey said that ((Matthew is an egoist and Mia is an altruist) if and only if Zoey is an altruist) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"lying\", 2]], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 14462} |
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, Mason, Olivia, Sophia, and Amelia. Harper said that it is not the case that (if Amelia is a knight then Mason is a knight). Mason noted, \"(A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4]], [\"->\", [\"and... | {"split": "train", "index": 14463} |
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, Sophia, Aria, Emma, and Luke. William stated, \"(if Sophia is a laggard then Emma is a pioneer) if and only if ((if Sophia is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"->\", [\"not\", [\"and\", [\... | {"split": "train", "index": 14464} |
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, William, Owen, Emily, and Abigail. Jackson was heard saying, \"it is not the case that (if (William is a knight) then (Abigail is a knave))\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]]]... | {"split": "train", "index": 14465} |
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, Lily, Harper, Avery, and Daniel. James was heard saying, \"(if (Lily is an angel or Harper is a devil) then (if Harper is a devil then Daniel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 3]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 14466} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Lucas, Daniel, David, and Elizabeth. Abigail noted, \"(Lucas is a sinner) if and only if (it is not the case that (if Abigail is a saint the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"or\", [\"lying\", 4], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling... | {"split": "train", "index": 14467} |
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, Joseph, Penelope, Logan, and Michael. Matthew told you that Logan is a villain. Joseph told you that ((Michael is a hero or Matthew is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 14468} |
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, Jackson, Charlotte, Matthew, and Henry. In a statement by Samuel: \"((Charlotte is an angel if and only if Matthew is a devil) or (Samuel is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"l... | {"split": "train", "index": 14469} |
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, Ethan, Avery, Daniel, and Amelia. Charlotte commented, \"Daniel is a knave\". Ethan expressed that Avery is a knight. Avery said, \"((Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"lying\", 3], [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 14470} |
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: Chloe, Sofia, Alexander, Charlotte, and Luke. Chloe noted, \"it is not the case that ((if Luke is a sage then Alexander is a fool) if and only if (if Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\... | {"split": "train", "index": 14471} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sebastian, Owen, Henry, Michael, and Avery. \"(Sebastian is a saint or (if Owen is a sinner then Avery is a sinner)) or ((Henry is a saint or Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2]]]], [\"not\... | {"split": "train", "index": 14472} |
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, Isabella, Abigail, Sebastian, and Ethan. Michael was heard saying, \"Abigail is a sinner if and only if Sebastian is a saint\". Isabella sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"lying\", 3]], [\"and\", [\"no... | {"split": "train", "index": 14473} |
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, Lucas, Noah, Aria, and Sofia. Amelia commented, \"Aria is a knave\". Lucas said that Aria is a knave and ((Noah is a knight or Noah is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"lying\", 3], [\"and\", [\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 14474} |
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, David, Emma, Scarlett, and Evelyn. \"it is not the case that ((if Evelyn is a knave then Emma is a knight) or (Owen is a knave)),\" Owen claime... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 4]], [\"<=>\", [... | {"split": "train", "index": 14475} |
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, Ethan, Zoey, Harper, and Michael. \"(if Harper is an egoist then (Harper is an altruist or Michael is an egoist)) or (Ethan is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"lying\", 4]]]], [\"not\", [\"lying\", 0]], [\"not\", [\"... | {"split": "train", "index": 14476} |
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: Ethan, Oliver, Jack, David, and Emma. \"(Emma is a devil if and only if (if Oliver is a devil then Oliver is an angel)) or (it is not the case that (Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [... | {"split": "train", "index": 14477} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sebastian, Luke, Ava, Sophia, and Noah. Sebastian asserted: \"((Luke is a pioneer and Ava is a pioneer) if and only if Sebastian is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1144, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"... | {"split": "train", "index": 14478} |
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, Henry, Zoey, Joseph, and Charlotte. According to Michael, \"(if (Zoey is a saint) then (if Charlotte is a saint then Zoey is a saint)) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1145, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 1]]], [\"->\", [\"or... | {"split": "train", "index": 14479} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Sofia, Aria, Avery, and Henry. Benjamin said that (it is not the case that (Sofia is a villain and Aria is a hero)) or (it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1146, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"not\", [\"->\", [\"lying\", 0], [\"->\", [\"lying\", 4], [\"lying\"... | {"split": "train", "index": 14480} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Sophia, Evelyn, David, and Samuel. Riley told you that Sophia is a laggard. Sophia was heard saying, \"Samuel is a pioneer or ((Sophia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1147, \"statements\": [[\"lying\", 1], [\"or\", [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]]], [\"telling-truth\", 3], [\"and\", [\"lying\", 1], [\"->\... | {"split": "train", "index": 14481} |
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, Penelope, Scarlett, Emily, and Aria. \"Penelope is an altruist\" - Luke. Penelope asserted: \"((Emily is an altruist and Penelope is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1148, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 3]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 14482} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, David, Sebastian, Liam, and Joseph. Daniel said, \"Sebastian is a saint.\" \"if ((Daniel is a saint and Liam is a sinner) or (Daniel is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1149, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]],... | {"split": "train", "index": 14483} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Olivia, Henry, Emma, and Ella. \"it is not the case that (if (Olivia is a villain or Emma is a villain) then Henry is a villain)\" - Benjam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1150, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"lying\", 2]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"not\", [\"or\... | {"split": "train", "index": 14484} |
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: Michael, Lily, Olivia, Ella, and Samuel. In Michael's words: \"it is not the case that (if Olivia is a sage then (Samuel is a fool and Ella is a fool))\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1151, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 4], [\"lying\", 3]]]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]]], [\"telling-truth\", 3], [\"<=>\"... | {"split": "train", "index": 14485} |
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, Matthew, Oliver, Grace, and Ethan. Amelia said that Matthew is a knave. Matthew stated, \"((Oliver is a knight or Ethan is a knight) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1152, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 4... | {"split": "train", "index": 14486} |
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, Michael, Daniel, Jackson, and Luke. In a statement by Mia: \"it is not the case that ((Luke is an altruist or Daniel is an altruist) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1153, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"and\"... | {"split": "train", "index": 14487} |
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, Emily, Logan, Isabella, and Ava. Emma stated, \"if ((Ava is a villain or Emily is a hero) and (Emily is a hero and Emily is a villain)) then ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1154, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 2]]... | {"split": "train", "index": 14488} |
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, Liam, Noah, Olivia, and Victoria. \"(Liam is an egoist if and only if Noah is an altruist) and (if (Victoria is an altruist or Noah ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1155, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"not\", [\"not\", [\"telling-truth... | {"split": "train", "index": 14489} |
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, Emma, Sebastian, Lucas, and Liam. Scarlett remarked, \"((Lucas is a knave or Sebastian is a knight) or (Sebastian is a knight and Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1156, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"ly... | {"split": "train", "index": 14490} |
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, Sophia, Michael, Ella, and Chloe. Elizabeth commented, \"Ella is a laggard\". Sophia expressed that if ((Michael is a pioneer) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1157, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-tru... | {"split": "train", "index": 14491} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Riley, Mia, Abigail, and Samuel. \"it is not the case that (if (Samuel is a knave and Riley is a knight) then (if Abigail is a knight then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1158, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"... | {"split": "train", "index": 14492} |
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, Sofia, Riley, Jack, and Sophia. \"if ((if Sophia is a fool then Jack is a sage) if and only if (Riley is a fool if and only if Sofia is a sage)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1159, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]]], [\"->\", ... | {"split": "train", "index": 14493} |
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: Lucas, Ava, Logan, James, and Charlotte. Lucas told you that it is not the case that (if (Ava is a pioneer if and only if Charlotte is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1160, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 14494} |
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, Avery, Daniel, Abigail, and Charlotte. Amelia noted, \"it is not the case that (if (Abigail is a knave) then Abigail is a knave)\". \"it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1161, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 3]]], [\"not\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], ... | {"split": "train", "index": 14495} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Harper, Joseph, Sophia, and Scarlett. \"((Sophia is an egoist) if and only if (Harper is an altruist or Scarlett is an altruist)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1162, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 1]]]], [\"and\"... | {"split": "train", "index": 14496} |
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, Owen, Riley, Grace, and Scarlett. Logan remarked, \"if ((Owen is a villain) and (if Riley is a hero then Riley is a villain)) then ((Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1163, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 3]]]], [\"->\", [\"<=>\",... | {"split": "train", "index": 14497} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: David, Oliver, Jack, Henry, and Luke. David expressed that it is not the case that ((Jack is a villain and Henry is a hero) and (Oliver is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1164, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [... | {"split": "train", "index": 14498} |
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: Emily, Evelyn, Joseph, Mia, and David. As Emily put it, \"if ((if Emily is a knight then Evelyn is a knave) if and only if David is a knight) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1165, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 3]]]], [\"telling-truth\", 2], [\"a... | {"split": "train", "index": 14499} |
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