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: Jack, Aria, Harper, Sebastian, and Grace. Jack expressed that if Sebastian is a sage then ((Harper is a fool and Jack is a sage) if and only if (Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1266, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 14600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Joseph, Michael, Samuel, and James. Evelyn was heard saying, \"James is a laggard\". Joseph was heard saying, \"((if Evelyn is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1267, \"statements\": [[\"lying\", 4], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"ly... | {"split": "train", "index": 14601} |
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: Sebastian, Jackson, Scarlett, Ethan, and Daniel. Sebastian was heard saying, \"((Scarlett is an angel if and only if Scarlett is a devil) and (Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1268, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 14602} |
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, Riley, Daniel, and Mason. \"it is not the case that ((Riley is a villain or Mason is a hero) if and only if Mason is a villain)\" - E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1269, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 4]]], [\"or\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"telling-... | {"split": "train", "index": 14603} |
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, Emily, Sebastian, Evelyn, and Aurora. James said that if Evelyn is a knight then (if (Emily is a knave and Evelyn is a knave) then (Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1270, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"... | {"split": "train", "index": 14604} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Emily, Michael, Benjamin, and Amelia. Harper noted, \"it is not the case that ((Benjamin is a sinner or Amelia is a sinner) and (if Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1271, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"lying\", 4], [\"telling-truth\", 0], [\"not\", [\"->\", [\"->\", [\"telling-truth\", 0... | {"split": "train", "index": 14605} |
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, Chloe, Scarlett, Grace, and Zoey. Jack asserted: \"(it is not the case that (Scarlett is a knight)) and (if (Zoey is a knight and Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1272, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"telling-truth\", 3], [\... | {"split": "train", "index": 14606} |
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: Olivia, Zoey, Emily, Grace, and Ethan. Olivia said that (if (Ethan is an angel or Emily is a devil) then (if Zoey is a devil then Olivia is an angel)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1273, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lyi... | {"split": "train", "index": 14607} |
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, Riley, Elizabeth, Evelyn, and Amelia. In a statement by Isabella: \"(if (Evelyn is a knave) then (if Riley is a knight then Riley is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1274, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"<=>\", [\"lyi... | {"split": "train", "index": 14608} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Sofia, Emily, Charlotte, and Victoria. Matthew asserted: \"it is not the case that (Sofia is a devil and (Victoria is an angel))\". As Sofia p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1275, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"not\", [\"lying\", 4]]]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 1], [\"->\... | {"split": "train", "index": 14609} |
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, Harper, Luke, Lucas, and Alexander. \"(it is not the case that (if Lucas is an altruist then Luke is an egoist)) if and only if ((Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1276, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"lying\", 3], [\"<=>\", [\... | {"split": "train", "index": 14610} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ava, Jackson, Grace, Liam, and Jack. In a statement by Ava: \"if (Jackson is a pioneer if and only if (Ava is a pioneer if and only if Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1277, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 14611} |
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, Scarlett, Alexander, Ava, and Aurora. \"((Ava is an altruist) or (Aurora is an altruist or Alexander is an altruist)) and ((Alexander is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1278, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"ly... | {"split": "train", "index": 14612} |
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, Sebastian, Harper, Elizabeth, and Samuel. Matthew expressed that Elizabeth is a saint. \"it is not the case that ((Matthew is a saint or Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1279, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"or\", [\"lying\", 0], [\"not\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 14613} |
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, Sebastian, Jack, Isabella, and Joseph. Charlotte told you that (if (if Isabella is a villain then Charlotte is a hero) then Joseph is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1280, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 14614} |
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, Owen, James, Noah, and Avery. Ella commented, \"if (Noah is an egoist if and only if Avery is an altruist) then (if (James is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1281, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]]], [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 14615} |
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, Samuel, Victoria, Lily, and Abigail. Aurora said, \"(Victoria is a devil or Abigail is an angel) and Abigail is a devil.\" In Samuel's words: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1282, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 4]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\... | {"split": "train", "index": 14616} |
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, Noah, Sebastian, Elizabeth, and Daniel. Aria asserted: \"Daniel is an altruist\". In a statement by Noah: \"(it is not the case that (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1283, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"... | {"split": "train", "index": 14617} |
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, William, Victoria, Ella, and Samuel. Michael commented, \"it is not the case that (if (Michael is an altruist or Victoria is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1284, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3]]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"lying\", 3], [\"no... | {"split": "train", "index": 14618} |
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, Samuel, Ethan, Sebastian, and Emily. As Aiden put it, \"Sebastian is a laggard\". In a statement by Samuel: \"Ethan is a laggard\". Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1285, \"statements\": [[\"lying\", 3], [\"lying\", 2], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 1]], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 14619} |
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, Riley, Aiden, William, and Alexander. Zoey said that it is not the case that (if (William is a fool) then (William is a fool if and only if Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1286, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"lying\", 3], [\"and\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\... | {"split": "train", "index": 14620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Jacob, Emily, Chloe, and Joseph. According to Aiden, \"Chloe is a sinner\". Jacob noted, \"((Joseph is a saint or Aiden is a saint) and Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1287, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 4]], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"not\", [\"or\", [\"lying\", 1], [\"telling-tru... | {"split": "train", "index": 14621} |
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: Amelia, Emma, Mia, James, and Ethan. \"Mia is a devil,\" Amelia claimed. As Emma put it, \"((Emma is an angel or James is a devil) or (James is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1288, \"statements\": [[\"lying\", 2], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"t... | {"split": "train", "index": 14622} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lucas, Grace, Aria, Liam, and Penelope. Lucas was heard saying, \"((Aria is a hero and Liam is a villain) or (Penelope is a hero if and only if Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1289, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"<... | {"split": "train", "index": 14623} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Liam, Zoey, Scarlett, and Mason. Emily said that if Emily is a hero then (it is not the case that (Liam is a villain if and only if Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1290, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"or\", [\"lying\"... | {"split": "train", "index": 14624} |
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: Liam, Emma, Victoria, Harper, and Jackson. \"((Victoria is a knave if and only if Harper is a knight) and (Victoria is a knight if and only if Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1291, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 4]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 14625} |
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, Michael, Mia, Abigail, and Charlotte. \"(it is not the case that (Charlotte is a sinner and Mia is a saint)) or ((Abigail is a saint or Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1292, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and\", [... | {"split": "train", "index": 14626} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Luke, Chloe, Lucas, Owen, and Liam. Luke commented, \"((Owen is a hero if and only if Lucas is a villain) if and only if (Lucas is a hero)) and Luke ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1293, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 0]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 14627} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Liam, Abigail, Mason, Sebastian, and Joseph. Liam remarked, \"if (it is not the case that (Sebastian is an egoist or Joseph is an altruist)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1294, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"and\", [\"lying\", 3], [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"... | {"split": "train", "index": 14628} |
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: Emma, Avery, Liam, William, and Lucas. As Emma put it, \"it is not the case that ((William is a knight or Emma is a knight) or (if Avery is a knave t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1295, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=... | {"split": "train", "index": 14629} |
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, Penelope, William, Olivia, and Abigail. Samuel told you that Olivia is a knight. In Penelope's words: \"if ((if Abigail is a knave then Penel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1296, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"not\"... | {"split": "train", "index": 14630} |
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, Logan, Isabella, Jacob, and Sebastian. Olivia expressed that it is not the case that (it is not the case that (if Logan is a saint then Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1297, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [... | {"split": "train", "index": 14631} |
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: Avery, Sebastian, David, Aiden, and Luke. \"((if Sebastian is a laggard then Luke is a pioneer) or (Luke is a laggard if and only if Avery is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1298, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]... | {"split": "train", "index": 14632} |
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: Michael, Ella, Luke, Amelia, and Daniel. Michael was heard saying, \"if (it is not the case that (if Amelia is a knight then Ella is a knave)) then L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1299, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 2]], [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 0]]]], [\"and\", [... | {"split": "train", "index": 14633} |
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, Ava, Riley, Aiden, and Aurora. As Liam put it, \"((Liam is an altruist and Riley is an altruist) or (Liam is an altruist or Riley is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1300, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\... | {"split": "train", "index": 14634} |
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: Harper, James, Michael, Penelope, and Owen. Harper said, \"Owen is a pioneer if and only if ((Penelope is a pioneer) and (Michael is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1301, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"t... | {"split": "train", "index": 14635} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Lucas, Samuel, Benjamin, and Luke. Joseph commented, \"((Luke is a saint) and (Joseph is a saint if and only if Lucas is a saint)) or Samuel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1302, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"lying\", 2]], [\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", ... | {"split": "train", "index": 14636} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mason, Ava, Emily, Lily, and Chloe. Mason remarked, \"((Emily is an altruist or Chloe is an altruist) or (Ava is an egoist if and only if Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1303, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 4]... | {"split": "train", "index": 14637} |
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, Olivia, Charlotte, Grace, and Riley. Logan was heard saying, \"it is not the case that ((Logan is an egoist) or Olivia is an altruist)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1304, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 14638} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Sebastian, Sofia, Benjamin, and Oliver. In a statement by Charlotte: \"it is not the case that ((Benjamin is a pioneer and Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1305, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"not\", [\"<... | {"split": "train", "index": 14639} |
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, Ava, Abigail, Aurora, and Lucas. \"(if (Abigail is a sinner or Ava is a sinner) then (Abigail is a sinner if and only if Ava is a saint)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1306, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"te... | {"split": "train", "index": 14640} |
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, Ethan, Abigail, Liam, and Amelia. As Avery put it, \"(Abigail is an angel or (Liam is a devil if and only if Abigail is an angel)) or (if (Ethan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1307, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"... | {"split": "train", "index": 14641} |
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, Jacob, Benjamin, Logan, and Victoria. Daniel stated, \"((Benjamin is a laggard) if and only if (Jacob is a laggard if and only if Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1308, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 14642} |
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: Elizabeth, Joseph, Scarlett, Emma, and Michael. Elizabeth expressed that it is not the case that ((Emma is a sage or Joseph is a fool) and (Scarlett is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1309, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 2]]]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 14643} |
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, Luke, Liam, Henry, and Victoria. Jacob stated, \"((if Henry is a hero then Jacob is a hero) and Luke is a hero) and (it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 14644} |
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: Henry, Harper, Samuel, Lucas, and Chloe. Henry said that (if (Harper is a saint or Harper is a sinner) then (Chloe is a saint)) or ((Lucas is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]... | {"split": "train", "index": 14645} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Evelyn, Grace, Amelia, and Ava. As Abigail put it, \"Evelyn is a saint\". In a statement by Evelyn: \"if (Ava is a saint) then (Grace is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"and\", [\"t... | {"split": "train", "index": 14646} |
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, Emma, Jack, Ethan, and Evelyn. Alexander remarked, \"((if Alexander is a knight then Jack is a knight) and (Emma is a knave)) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 3... | {"split": "train", "index": 14647} |
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: Sophia, Ella, Chloe, Victoria, and Logan. Sophia said, \"Victoria is a pioneer.\" Ella told you that if (if (Sophia is a pioneer or Logan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"lying\", 0],... | {"split": "train", "index": 14648} |
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: Noah, Lily, Henry, Daniel, and Mia. Noah told you that if (Mia is a knave or (Mia is a knight and Henry is a knave)) then (it is not the case that (D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"tell... | {"split": "train", "index": 14649} |
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, Amelia, Emma, and Joseph. Sebastian asserted: \"((Amelia is a villain or Emma is a hero) or (if Amelia is a villain then Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 3],... | {"split": "train", "index": 14650} |
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, Jacob, Emily, Noah, and Emma. In a statement by Victoria: \"((Emma is an altruist and Emma is an egoist) if and only if (if Noah is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth... | {"split": "train", "index": 14651} |
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, Scarlett, Victoria, Liam, and Ava. In Emily's words: \"(if (Liam is a sage and Liam is a fool) then (Victoria is a fool or Scarlett is a fool)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"not\", [\"not\", [\"->\", [\"tel... | {"split": "train", "index": 14652} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Isabella, Harper, Riley, and Logan. Amelia remarked, \"Riley is a pioneer\". Isabella asserted: \"(if (Harper is a laggard or Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"or\", [\"->\", [\"->\", [\"lying\", 4],... | {"split": "train", "index": 14653} |
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, Ethan, Daniel, Ava, and Matthew. \"Ethan is a pioneer,\" Abigail mentioned. Ethan asserted: \"it is not the case that (it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]],... | {"split": "train", "index": 14654} |
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: Amelia, Ava, Grace, Scarlett, and Zoey. In a statement by Amelia: \"it is not the case that ((Zoey is a fool if and only if Grace is a sage) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 0],... | {"split": "train", "index": 14655} |
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: William, Emma, Mason, Ava, and Zoey. \"(if (Mason is a knight or Zoey is a knight) then Emma is a knight) and ((Ava is a knave or Ava is a knight) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1322, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 14656} |
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, Jackson, Aria, Jack, and Ava. Victoria said, \"if (it is not the case that (Jackson is a laggard)) then (if (Aria is a laggard if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1323, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"not\", [\"lying\", 4... | {"split": "train", "index": 14657} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Harper, Henry, Lily, Mia, and Jack. As Harper put it, \"if Lily is an altruist then (if Lily is an altruist then Henry is an altruist)\". Henry... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1324, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"not\", [\"or\", [\... | {"split": "train", "index": 14658} |
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: Daniel, Mia, Riley, Jacob, and Luke. Daniel remarked, \"it is not the case that (it is not the case that (if Riley is a fool then Mia is a fool))\". Mia st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1325, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2]... | {"split": "train", "index": 14659} |
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, Benjamin, Daniel, Owen, and Olivia. Scarlett was heard saying, \"(it is not the case that (Benjamin is a saint or Scarlett is a saint)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1326, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"or\", [\"->\", [\"or\", [\"telling... | {"split": "train", "index": 14660} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, Evelyn, Zoey, Lucas, and Penelope. Ethan said, \"((Penelope is an egoist) or (if Evelyn is an altruist then Zoey is an altruist)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1327, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 4]], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 14661} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lily, Mason, Liam, Jack, and Logan. Lily was heard saying, \"it is not the case that (if (if Mason is a sinner then Logan is a sinner) then (Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1328, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [... | {"split": "train", "index": 14662} |
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, Scarlett, Avery, Olivia, and Victoria. According to Matthew, \"it is not the case that ((if Scarlett is a saint then Victoria is a sinner) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1329, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying... | {"split": "train", "index": 14663} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Victoria, Alexander, Logan, and James. Joseph told you that ((if Logan is a hero then Logan is a villain) or (Victoria is a hero or Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1330, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"ly... | {"split": "train", "index": 14664} |
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, Owen, James, Michael, and Isabella. In a statement by Evelyn: \"(it is not the case that (James is a sage and James is a fool)) or ((Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1331, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]]], [\"not\", [\"and\", [\"->\", [\"lyi... | {"split": "train", "index": 14665} |
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, Liam, Charlotte, Emma, and Samuel. Noah noted, \"Samuel is a laggard\". Liam expressed that ((Liam is a laggard) and (if Emma is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1332, \"statements\": [[\"lying\", 4], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 14666} |
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, Amelia, Aria, Jack, and Lucas. \"(it is not the case that (if Amelia is a villain then Jack is a hero)) and ((if Jack is a villain then Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1333, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"telling-truth\", ... | {"split": "train", "index": 14667} |
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: Joseph, Emma, Olivia, Ella, and Jack. In a statement by Joseph: \"(if (Jack is an angel) then Ella is a devil) or ((if Jack is an angel then Ella is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1334, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"lying\", 3]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"l... | {"split": "train", "index": 14668} |
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, Lucas, Penelope, Amelia, and Lily. \"(if (Amelia is a saint if and only if Lucas is a saint) then (Penelope is a sinner)) or Lily is a saint,\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1335, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\",... | {"split": "train", "index": 14669} |
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: Emma, Oliver, Ella, Benjamin, and Victoria. According to Emma, \"it is not the case that (Victoria is a saint)\". Oliver asserted: \"(if (Ella is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1336, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"->\", [\... | {"split": "train", "index": 14670} |
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: James, Aurora, Zoey, Avery, and Victoria. James stated, \"Avery is a saint\". \"Avery is a saint,\" Aurora declared. In Zoey's words: \"it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1337, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"not\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-... | {"split": "train", "index": 14671} |
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, Jack, Zoey, Emily, and Mason. \"Elizabeth is a saint or (Jack is a sinner or (Emily is a sinner if and only if Mason is a sinner)),\" Eliz... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1338, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"lying\", 0], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or... | {"split": "train", "index": 14672} |
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, Abigail, Grace, Mia, and Sophia. According to Benjamin, \"(Mia is a laggard if and only if (if Mia is a laggard then Mia is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1339, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"->\", [\"lying\", 0], [\"and\", [\... | {"split": "train", "index": 14673} |
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: Abigail, Sophia, Alexander, Luke, and Isabella. \"it is not the case that (if (Sophia is a villain or Luke is a villain) then (if Luke is a hero then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1340, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\... | {"split": "train", "index": 14674} |
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, Grace, Sophia, Evelyn, and Harper. \"(Grace is a villain and Sophia is a villain) if and only if ((Grace is a hero) if and only if Grace is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1341, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"telling-truth\", 4], [\"-... | {"split": "train", "index": 14675} |
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: Aria, Lucas, Ethan, William, and Aurora. Aria was heard saying, \"if (it is not the case that (Aurora is a villain or William is a hero)) then ((if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1342, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"lying\", ... | {"split": "train", "index": 14676} |
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: Avery, Logan, Mason, Sebastian, and Aurora. Avery noted, \"Mason is a pioneer\". Logan told you that (if (if Aurora is a laggard then Mason is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1343, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 14677} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Benjamin, Owen, Logan, and Joseph. Alexander said, \"((if Logan is an egoist then Alexander is an altruist) if and only if Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1344, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"not\", [\"lying\", 3]]]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 14678} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Chloe, Alexander, Emily, and Penelope. \"if ((if Penelope is a knight then Alexander is a knight) if and only if (Emily is a knight or Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1345, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 14679} |
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: Amelia, Noah, Isabella, Mia, and Abigail. Amelia noted, \"((Abigail is an angel and Noah is a devil) or (Abigail is a devil and Mia is an angel)) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1346, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-... | {"split": "train", "index": 14680} |
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: Oliver, Ava, Samuel, Noah, and Benjamin. Oliver stated, \"if ((Noah is a devil or Benjamin is an angel) if and only if (if Benjamin is an angel then Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1347, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 3]]], [\"<... | {"split": "train", "index": 14681} |
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, Liam, Harper, Sofia, and Logan. According to Charlotte, \"if (Liam is an egoist and (Sofia is an egoist or Logan is an egoist)) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1348, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"->\", [\"->\", [\"telli... | {"split": "train", "index": 14682} |
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, Scarlett, Ethan, David, and Henry. Zoey noted, \"(Scarlett is a villain) if and only if (it is not the case that (Ethan is a hero if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1349, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 14683} |
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: Grace, Mason, Matthew, Aria, and Emma. \"if ((Aria is an egoist or Emma is an altruist) or (Matthew is an altruist)) then (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1350, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"and\", [\"tell... | {"split": "train", "index": 14684} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Olivia, Aria, Ella, and Zoey. In Sebastian's words: \"if (Aria is a knight) then (if (Aria is a knave or Olivia is a knave) then (Ella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1351, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"and\", [\"tellin... | {"split": "train", "index": 14685} |
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, Riley, Lucas, Benjamin, and Luke. In a statement by Ethan: \"((Benjamin is a saint and Riley is a sinner) if and only if (Riley is a saint and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1352, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"tel... | {"split": "train", "index": 14686} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Luke, Logan, Scarlett, Sofia, and Olivia. \"Luke is an angel if and only if (it is not the case that (Olivia is an angel)),\" Luke mentioned. Logan exp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1353, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"not\... | {"split": "train", "index": 14687} |
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: Liam, Abigail, Samuel, Michael, and Ethan. Liam noted, \"if (if (Ethan is a villain) then (Samuel is a villain)) then ((Ethan is a villain if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1354, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"or\", [\"lyin... | {"split": "train", "index": 14688} |
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, Lily, Matthew, Liam, and Alexander. Olivia commented, \"if ((Alexander is a laggard or Olivia is a pioneer) and (if Liam is a laggard t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1355, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 4]]]], [... | {"split": "train", "index": 14689} |
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, Riley, Jack, Henry, and Benjamin. In a statement by Isabella: \"if ((Benjamin is a knight) and (Henry is a knave or Isabella is a knight)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1356, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [... | {"split": "train", "index": 14690} |
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, Penelope, Riley, Ethan, and Victoria. Avery commented, \"((if Penelope is an egoist then Penelope is an altruist) or (if Penelope is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1357, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-tru... | {"split": "train", "index": 14691} |
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: Amelia, Elizabeth, James, Sebastian, and Joseph. In a statement by Amelia: \"if ((James is an angel if and only if James is a devil) and (Elizabeth is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1358, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\... | {"split": "train", "index": 14692} |
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, Logan, Ella, Penelope, and Mason. Noah said, \"Penelope is a pioneer.\" Logan commented, \"(it is not the case that (if Mason is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1359, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"telling-t... | {"split": "train", "index": 14693} |
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, Sophia, Ava, William, and Amelia. Victoria expressed that (if (Victoria is a knave) then (Ava is a knave if and only if Amelia is a knave))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1360, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 4]]], [\"and\", [\"->\", [\"<=>\", [\"tel... | {"split": "train", "index": 14694} |
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, Victoria, Alexander, Mia, and Sophia. \"(Alexander is a pioneer if and only if (Sophia is a pioneer)) if and only if (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1361, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 14695} |
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, Emma, Oliver, Abigail, and Charlotte. Victoria asserted: \"((Abigail is a pioneer if and only if Charlotte is a pioneer) and (if Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1362, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\... | {"split": "train", "index": 14696} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Isabella, Scarlett, Sebastian, and Alexander. Aria asserted: \"Sebastian is an egoist\". Isabella was heard saying, \"((if Aria is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1363, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", ... | {"split": "train", "index": 14697} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lily, Aurora, Elizabeth, Chloe, and David. Lily told you that David is a sinner if and only if ((David is a sinner or David is a saint) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1364, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 14698} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Chloe, Zoey, Lucas, and Elizabeth. According to Amelia, \"if ((Amelia is a laggard) if and only if Chloe is a laggard) then (if (if Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1365, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 1]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\... | {"split": "train", "index": 14699} |
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