data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Lucas, Aria, Aurora, and Scarlett. In Riley's words: \"(Aria is an angel or Aurora is a devil) if and only if Aria is an angel\". Lucas noted, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\... | {"split": "train", "index": 6900} |
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, Amelia, Evelyn, Penelope, and Aurora. In a statement by Lily: \"(Aurora is a sinner if and only if Lily is a saint) and (Evelyn is a saint)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"not\", [\"lying\", 4]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\... | {"split": "train", "index": 6901} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Chloe, Charlotte, Henry, David, and Daniel. \"Daniel is a hero,\" Chloe declared. \"it is not the case that (Henry is a hero),\" Charlotte declared. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", ... | {"split": "train", "index": 6902} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Charlotte, Grace, Evelyn, and Michael. Aiden remarked, \"(Grace is an altruist or Charlotte is an altruist) and (Evelyn is an egoist if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 2]], ... | {"split": "train", "index": 6903} |
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, Alexander, Sofia, Riley, and Penelope. Jacob was heard saying, \"Sofia is a villain\". \"it is not the case that (Sofia is a hero if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"lying\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"t... | {"split": "train", "index": 6904} |
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, Charlotte, Jackson, Evelyn, and Ella. In a statement by Owen: \"Owen is a knight or (Ella is a knight)\". Charlotte told you that Ella is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"not\", [\"lying\", 4]]], [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 1], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"ly... | {"split": "train", "index": 6905} |
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, Victoria, Aurora, Alexander, and William. In Noah's words: \"(William is a devil and Victoria is a devil) if and only if (Victoria is a devil if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 4], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-tru... | {"split": "train", "index": 6906} |
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: Ella, William, Amelia, Oliver, and Harper. \"Harper is a villain,\" Ella mentioned. \"it is not the case that (Ella is a villain if and only if Harpe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\... | {"split": "train", "index": 6907} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sofia, Zoey, Jackson, Aiden, and Elizabeth. Sofia stated, \"(Sofia is an altruist and Elizabeth is an egoist) or (Aiden is an altruist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 0], [\"not\", [\"lying\", 0]]], [\"and\", [\"o... | {"split": "train", "index": 6908} |
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, Aurora, Olivia, Charlotte, and Joseph. Avery was heard saying, \"(Olivia is an egoist and Joseph is an altruist) and (Joseph is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 6909} |
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: Aiden, Grace, Avery, Ethan, and Mason. \"(Mason is a hero and Grace is a villain) if and only if (Avery is a hero)\" - Aiden. \"(Aiden is a villain i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2... | {"split": "train", "index": 6910} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Scarlett, Riley, Abigail, and Avery. Aiden stated, \"Aiden is an altruist and (Avery is an altruist)\". According to Scarlett, \"if (Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling... | {"split": "train", "index": 6911} |
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, Amelia, Henry, Charlotte, and Noah. \"(Amelia is a pioneer and Noah is a pioneer) if and only if (Charlotte is a laggard and Noah is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 1]], [\"<=>\", [\"te... | {"split": "train", "index": 6912} |
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: Scarlett, Isabella, Grace, Penelope, and Charlotte. In Scarlett's words: \"it is not the case that (Isabella is an altruist)\". Isabella said, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]]... | {"split": "train", "index": 6913} |
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, Sofia, Jackson, Michael, and Aria. According to Mia, \"(Sofia is an egoist or Mia is an altruist) if and only if (Sofia is an egoist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"lyi... | {"split": "train", "index": 6914} |
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, Isabella, Chloe, Joseph, and Jackson. Henry told you that (Chloe is a fool if and only if Joseph is a fool) if and only if (Joseph is a fool). Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"->\", [... | {"split": "train", "index": 6915} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Isabella, Owen, Henry, Lucas, and Benjamin. Isabella expressed that it is not the case that (Benjamin is a laggard if and only if Benjamin is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 3], ... | {"split": "train", "index": 6916} |
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: Aria, Lily, Jacob, Avery, and Sebastian. Aria was heard saying, \"Lily is a laggard or (Sebastian is a pioneer or Avery is a pioneer)\". Lily c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"and\", [\"telling-trut... | {"split": "train", "index": 6917} |
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, Benjamin, Luke, Isabella, and Oliver. As Ava put it, \"if (Oliver is an egoist and Benjamin is an egoist) then (Benjamin is an altruist if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 4], [\"o... | {"split": "train", "index": 6918} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Penelope, Joseph, Owen, and Isabella. Samuel noted, \"(Joseph is an altruist and Owen is an egoist) or (if Penelope is an egoist then O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3]], ... | {"split": "train", "index": 6919} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Amelia, Olivia, Emily, and Samuel. Benjamin told you that (Olivia is a knight if and only if Emily is a knave) and (Emily is a knave). \"(i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2... | {"split": "train", "index": 6920} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Penelope, Charlotte, Samuel, and Logan. In Zoey's words: \"Penelope is a devil\". Penelope asserted: \"(Logan is an angel and Charlotte is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\... | {"split": "train", "index": 6921} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, Logan, Harper, Victoria, and Zoey. Isabella was heard saying, \"(Zoey is a sinner) or (Logan is a sinner)\". According to Logan, \"(Zoey is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"lying\", 4], [\"->\", [... | {"split": "train", "index": 6922} |
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, Lucas, Jackson, Amelia, and James. Michael told you that (Michael is a knave) if and only if (Lucas is a knight and Jackson is a knight). Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]]], [\"... | {"split": "train", "index": 6923} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Mason, William, Jacob, and Henry. Evelyn was heard saying, \"it is not the case that (Mason is a villain or William is a villain)\". In a sta... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"or\", [\"and\", [\"lying\", ... | {"split": "train", "index": 6924} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Jack, Emily, Matthew, and William. Penelope stated, \"(if William is a knight then William is a knave) or (Matthew is a knave if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 3], [\"<=>\"... | {"split": "train", "index": 6925} |
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: Emma, Riley, Aiden, Jackson, and Evelyn. Emma told you that it is not the case that (Aiden is a pioneer if and only if Emma is a pioneer). In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 6926} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Michael, Chloe, Benjamin, Mason, and Luke. \"(Luke is a pioneer or Mason is a pioneer) and (Michael is a pioneer or Mason is a pioneer),\" Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\"... | {"split": "train", "index": 6927} |
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: Noah, Liam, Logan, Jack, and Luke. Noah noted, \"Luke is an altruist and Logan is an egoist\". As Liam put it, \"Logan is an egoist\". Logan as... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 2], [\"lying\", 4], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 1]... | {"split": "train", "index": 6928} |
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, William, Matthew, Logan, and Ella. \"Ella is a pioneer,\" Daniel claimed. William noted, \"if (Ella is a pioneer if and only if Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-... | {"split": "train", "index": 6929} |
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: Mia, Michael, Oliver, Harper, and Lily. In Mia's words: \"(Harper is a fool or Lily is a fool) and (Oliver is a sage if and only if Michael is a fool)\". M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]... | {"split": "train", "index": 6930} |
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, Logan, Zoey, Jackson, and Elizabeth. Riley stated, \"(Zoey is an angel if and only if Jackson is an angel) if and only if Riley is an angel\". L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth... | {"split": "train", "index": 6931} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Jackson, Sebastian, Mia, and James. William told you that (if Sebastian is a fool then Jackson is a sage) and Sebastian is a fool. In Jackson's wo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 0]... | {"split": "train", "index": 6932} |
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: Oliver, Sophia, Sebastian, Jackson, and Zoey. Oliver expressed that (if Zoey is a knave then Sophia is a knave) and (Sebastian is a knight or Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"<=... | {"split": "train", "index": 6933} |
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: Oliver, Aiden, Ava, Lucas, and Mason. Oliver stated, \"(Ava is a sage and Aiden is a fool) and Lucas is a sage\". \"it is not the case that (Lucas is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\", 0]], [\"or\", [\"tellin... | {"split": "train", "index": 6934} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Noah, Joseph, Scarlett, and Aria. In Lily's words: \"it is not the case that (Noah is an altruist if and only if Lily is an altruist)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 0], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"lying\", 0], [\"no... | {"split": "train", "index": 6935} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Luke, Scarlett, Matthew, and David. \"it is not the case that (Scarlett is a saint),\" Mia claimed. As Luke put it, \"(Matthew is a saint and Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"l... | {"split": "train", "index": 6936} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Scarlett, Noah, Jack, Ava, and Mia. Scarlett remarked, \"Scarlett is an angel\". \"(Noah is an angel if and only if Jack is an angel) if and only if (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=... | {"split": "train", "index": 6937} |
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, Henry, Sebastian, Avery, and Oliver. According to Evelyn, \"Oliver is a sage\". Henry commented, \"if (Sebastian is a fool) then (Oliver is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"lying\", 3], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 1], [\"tell... | {"split": "train", "index": 6938} |
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: Mia, Zoey, Mason, Ethan, and Ella. Mia noted, \"it is not the case that (Mason is a devil if and only if Ella is an angel)\". \"Ella is an angel,\" Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"or\"... | {"split": "train", "index": 6939} |
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: Ethan, Grace, Victoria, Alexander, and Daniel. As Ethan put it, \"if Grace is a hero then Victoria is a villain\". Grace stated, \"Alexander is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]],... | {"split": "train", "index": 6940} |
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, Charlotte, Avery, and Alexander. In a statement by Liam: \"if (Jackson is a fool and Charlotte is a fool) then (if Jackson is a sage then Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 6941} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Olivia, Daniel, Matthew, and Alexander. \"Alexander is a sage,\" Lucas declared. Olivia said that Daniel is a sage. Daniel told you that Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 0], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], \"solution\": [true... | {"split": "train", "index": 6942} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, James, Matthew, Alexander, and Harper. Samuel stated, \"it is not the case that (Matthew is a saint and James is a saint)\". \"(Matthew is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 6943} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Abigail, Joseph, Emily, Aiden, and Harper. In Abigail's words: \"if (Joseph is a fool or Aiden is a fool) then (Emily is a sage if and only if Aiden is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\... | {"split": "train", "index": 6944} |
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, Michael, Mia, Henry, and Sophia. Liam was heard saying, \"(if Michael is a sage then Henry is a sage) if and only if (Mia is a fool)\". Michael was h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 4]], [\"telling-truth\", 0],... | {"split": "train", "index": 6945} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Sebastian, Evelyn, Avery, and Owen. Sofia told you that Owen is a villain. \"(if Sebastian is a hero then Owen is a hero) and Owen is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 4]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\... | {"split": "train", "index": 6946} |
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, Evelyn, Aria, Alexander, and Mia. \"it is not the case that (Sebastian is an angel and Mia is an angel),\" Sebastian declared. Evelyn stated... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 0]], [\"and\", [\"... | {"split": "train", "index": 6947} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Henry, Daniel, Alexander, and Olivia. \"Henry is an angel,\" Sofia mentioned. In Henry's words: \"(Alexander is a devil or Sofia is an angel) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"lying\", 0]], [\"lying\", 0]], [\"lying\", 2], [\"<=>\", [\"or\", [\"lying... | {"split": "train", "index": 6948} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Charlotte, Logan, Aurora, and Noah. \"(Noah is a villain or Aurora is a hero) or (if Charlotte is a villain then Charlotte is a hero),\" Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"lyi... | {"split": "train", "index": 6949} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Luke, Henry, Liam, and Penelope. According to Jack, \"if (if Liam is a saint then Penelope is a saint) then Jack is a saint\". Luke expressed t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 1]... | {"split": "train", "index": 6950} |
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, Henry, Sebastian, Emma, and Charlotte. Avery remarked, \"it is not the case that (Charlotte is an angel if and only if Sebastian is a devil)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"l... | {"split": "train", "index": 6951} |
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, Michael, Owen, and Jackson. Zoey noted, \"(Scarlett is a villain or Owen is a villain) if and only if (Zoey is a villain)\". As Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-... | {"split": "train", "index": 6952} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mia, Elizabeth, Ella, Abigail, and Aiden. As Mia put it, \"if Abigail is a pioneer then (Elizabeth is a pioneer or Elizabeth is a laggard)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"or\", [\"telli... | {"split": "train", "index": 6953} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, Henry, Lily, Emily, and Alexander. \"it is not the case that (Isabella is a saint or Emily is a sinner),\" Isabella claimed. As Henry put i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling... | {"split": "train", "index": 6954} |
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, Matthew, Olivia, Aiden, and Avery. Zoey told you that if (Matthew is a fool or Matthew is a sage) then (Olivia is a fool if and only if Aiden is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth\", 1], ... | {"split": "train", "index": 6955} |
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: Noah, Sebastian, Benjamin, Ethan, and Amelia. Noah remarked, \"Benjamin is an egoist\". Sebastian remarked, \"Sebastian is an altruist and (Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"lying\", 2], [\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"->\... | {"split": "train", "index": 6956} |
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, Avery, Mason, James, and Zoey. Joseph stated, \"it is not the case that (Avery is a hero if and only if Avery is a villain)\". Avery noted, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"lying\", 0], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [... | {"split": "train", "index": 6957} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aurora, Emma, Alexander, Michael, and Victoria. Aurora remarked, \"if (Alexander is a laggard or Michael is a pioneer) then (Emma is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\"... | {"split": "train", "index": 6958} |
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, Penelope, Jacob, Emily, and Owen. Grace remarked, \"(if Jacob is a saint then Penelope is a sinner) and (Owen is a sinner if and only if Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 6959} |
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: Lily, Isabella, David, James, and Riley. Lily said that David is a pioneer. \"it is not the case that (if David is a laggard then Riley is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 2], [\"lyi... | {"split": "train", "index": 6960} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ava, Henry, Noah, Owen, and Mia. As Ava put it, \"Noah is a sinner and (Owen is a sinner or Henry is a sinner)\". Henry was heard saying, \"(Noah is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 4]... | {"split": "train", "index": 6961} |
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, David, Harper, James, and Mia. As Charlotte put it, \"David is a pioneer if and only if (David is a laggard if and only if Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 1], [\"... | {"split": "train", "index": 6962} |
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, Victoria, Aiden, Jacob, and Logan. \"Aiden is a knave and (Victoria is a knave or Logan is a knave),\" Scarlett declared. Victoria noted, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"lying\", 2], [\"not\", [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"te... | {"split": "train", "index": 6963} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Henry, William, Samuel, and Luke. Olivia said that Samuel is an egoist. Henry commented, \"(if Luke is an altruist then Luke is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3]... | {"split": "train", "index": 6964} |
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: Mia, Penelope, Alexander, Harper, and Amelia. Mia commented, \"(Harper is a sage or Penelope is a fool) if and only if Penelope is a fool\". In Penelope's ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 1]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"or\"... | {"split": "train", "index": 6965} |
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: Penelope, Ethan, Olivia, Sophia, and Noah. Penelope stated, \"Penelope is a sage or Noah is a fool\". Ethan told you that (if Penelope is a sage then Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]],... | {"split": "train", "index": 6966} |
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: Abigail, Alexander, William, Amelia, and Olivia. In a statement by Abigail: \"if William is a knave then (Olivia is a knight)\". \"if (Abigail is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"->\", [\"lying\", 2], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"a... | {"split": "train", "index": 6967} |
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: Mason, Aria, Ella, Joseph, and Luke. \"if (Joseph is a hero and Joseph is a villain) then (if Mason is a hero then Joseph is a hero),\" Mason mention... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0],... | {"split": "train", "index": 6968} |
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, Victoria, Emma, David, and Noah. Evelyn noted, \"Victoria is a devil\". Victoria commented, \"if (if David is a devil then Emma is a devil) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"lying\", 1], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 0]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"telling-truth... | {"split": "train", "index": 6969} |
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, Chloe, Emily, Jacob, and Lily. In a statement by Ethan: \"Chloe is a knight or (if Lily is a knave then Emily is a knave)\". \"(Ethan is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"lying\", 4], [\"or\", [\"or\", [\"lyi... | {"split": "train", "index": 6970} |
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, Penelope, Owen, Jacob, and David. Amelia asserted: \"Amelia is an angel\". Penelope said, \"it is not the case that (Owen is an angel if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lyi... | {"split": "train", "index": 6971} |
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, Lucas, Avery, Elizabeth, and Abigail. Matthew stated, \"if (Abigail is a hero if and only if Abigail is a villain) then (if Abigail is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-... | {"split": "train", "index": 6972} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Alexander, Owen, James, and Aria. In a statement by Oliver: \"Owen is a pioneer\". According to Alexander, \"(Aria is a laggard) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 3]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\... | {"split": "train", "index": 6973} |
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: Benjamin, Jacob, Jackson, Elizabeth, and Lucas. \"if (Jacob is a fool and Lucas is a sage) then (Jacob is a sage or Jacob is a fool),\" Benjamin mentioned.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"no... | {"split": "train", "index": 6974} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Isabella, Alexander, Mia, and Lily. Oliver was heard saying, \"it is not the case that (if Mia is a laggard then Isabella is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 3], [\"not\", [\"and\", [\"... | {"split": "train", "index": 6975} |
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: Mason, Olivia, Aria, Benjamin, and Jack. Mason noted, \"Benjamin is a villain if and only if (Olivia is a villain)\". Olivia told you that Jack is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"lying\", 1], [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"ly... | {"split": "train", "index": 6976} |
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, Alexander, Penelope, Sofia, and Scarlett. Daniel noted, \"it is not the case that (Sofia is an altruist and Scarlett is an egoist)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 4... | {"split": "train", "index": 6977} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Jacob, Ava, Victoria, and Elizabeth. Oliver noted, \"if Elizabeth is a laggard then (Ava is a pioneer and Elizabeth is a pioneer)\". Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 6978} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jackson, Amelia, Ella, Jacob, and Liam. According to Jackson, \"if (Amelia is a devil) then (Amelia is a devil if and only if Liam is a devil)\". \"Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"telling-truth\", 4], [\"->\",... | {"split": "train", "index": 6979} |
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: Liam, Jackson, Elizabeth, Alexander, and Ella. \"if (if Jackson is a saint then Ella is a saint) then (Alexander is a saint and Ella is a saint),\" L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [... | {"split": "train", "index": 6980} |
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: Aria, Liam, Elizabeth, Alexander, and Avery. \"(Elizabeth is a laggard or Liam is a pioneer) if and only if (Liam is a laggard and Avery is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"not\", [\"an... | {"split": "train", "index": 6981} |
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: Aiden, Logan, James, Riley, and Oliver. In Aiden's words: \"(if Aiden is an angel then Oliver is a devil) or (if Logan is a devil then Logan is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [... | {"split": "train", "index": 6982} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Sebastian, Grace, Scarlett, and Luke. Logan was heard saying, \"Scarlett is a fool\". \"Luke is a fool and (Luke is a fool if and only if Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"lying\", 3], [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>... | {"split": "train", "index": 6983} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Abigail, Olivia, Owen, and Sofia. \"Jackson is a pioneer and Olivia is a laggard\" - Jackson. In Abigail's words: \"(Olivia is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 6984} |
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: Mason, James, Michael, Benjamin, and Owen. Mason expressed that if (Michael is a villain and Benjamin is a hero) then (Benjamin is a villain if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 1... | {"split": "train", "index": 6985} |
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, Emma, Michael, Evelyn, and Penelope. \"if Emma is a hero then Michael is a villain,\" Samuel claimed. In Emma's words: \"(Penelope is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-... | {"split": "train", "index": 6986} |
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, Chloe, Abigail, Penelope, and Jack. Amelia asserted: \"(if Chloe is a devil then Abigail is a devil) and Chloe is an angel\". Chloe noted, \"it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"ly... | {"split": "train", "index": 6987} |
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, Sebastian, Jack, Luke, and Ethan. Owen stated, \"(Ethan is a fool if and only if Sebastian is a sage) or (Owen is a sage and Jack is a sage)\". Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 6988} |
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: Alexander, Aiden, Ethan, Emily, and Evelyn. In a statement by Alexander: \"Aiden is a pioneer or (Aiden is a laggard if and only if Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 3], [\"not\", [\"lying\", 3]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\"... | {"split": "train", "index": 6989} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Henry, Daniel, Noah, and Jacob. In Logan's words: \"Daniel is a sage and (Jacob is a fool if and only if Daniel is a fool)\". Henry asserted: \"if L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"lying\", 0], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 6990} |
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, Liam, Alexander, Lily, and Aria. Emma asserted: \"(Liam is a devil) and (Lily is a devil and Alexander is a devil)\". Liam remarked, \"(Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 3]... | {"split": "train", "index": 6991} |
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, Sophia, Lily, Ava, and Aria. According to Mason, \"if Lily is a saint then (Lily is a saint or Aria is a sinner)\". \"(Ava is a saint or Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 6992} |
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: Noah, Chloe, Benjamin, Michael, and Owen. Noah noted, \"(if Michael is a fool then Owen is a fool) or (if Owen is a fool then Owen is a sage)\". According ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], [\"tellin... | {"split": "train", "index": 6993} |
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: Sophia, Oliver, Olivia, Sofia, and Abigail. Sophia told you that Oliver is a devil if and only if (if Oliver is an angel then Oliver is a devil). Olive... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"<=>\", [\"lying\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"and\", [\"telling-truth\", 1]... | {"split": "train", "index": 6994} |
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, Owen, Grace, Ethan, and Zoey. According to Lily, \"if (Owen is a saint or Lily is a saint) then (Owen is a sinner or Owen is a saint)\". Owen s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], ... | {"split": "train", "index": 6995} |
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, Abigail, Charlotte, Noah, and Lucas. Zoey commented, \"(if Zoey is a hero then Lucas is a villain) or (Noah is a hero or Lucas is a villain)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"t... | {"split": "train", "index": 6996} |
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: William, Noah, James, Lucas, and Charlotte. William expressed that (James is a hero if and only if Lucas is a hero) or (Noah is a villain or Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-trut... | {"split": "train", "index": 6997} |
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, Matthew, Ava, Oliver, and Lucas. According to Ethan, \"Matthew is a knight or (Matthew is a knave if and only if Ethan is a knight)\". Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"not\... | {"split": "train", "index": 6998} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Michael, Joseph, Scarlett, Daniel, and Jack. Michael noted, \"Jack is a pioneer\". Joseph said that it is not the case that (Scarlett is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"or\", [\"or... | {"split": "train", "index": 6999} |
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