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 pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, Ella, Jackson, Abigail, and Samuel. Jack expressed that ((Jackson is a pioneer and Abigail is a pioneer and Samuel is a laggard) or (Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2022, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 19800} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Scarlett, Mia, Abigail, and Victoria. Ethan said that Abigail is a devil. Scarlett noted, \"if (it is not the case that (Ethan is a devil and Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2023, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]]], [\"n... | {"split": "train", "index": 19801} |
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: Emily, Jacob, Avery, William, and Zoey. Emily said that (if (Zoey is an angel or Emily is an angel) then (if Zoey is an angel then William is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2024, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"and\", [\"lying\", 0], [\"... | {"split": "train", "index": 19802} |
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, Joseph, Aria, Sophia, and Henry. According to Noah, \"((Noah is an altruist or Joseph is an egoist or Aria is an egoist) or (Aria is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2025, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 19803} |
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, Sophia, Noah, James, and Charlotte. \"James is a hero,\" Chloe claimed. Sophia noted, \"Chloe is a villain\". \"Noah is a hero or ((if Chloe i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2026, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\"... | {"split": "train", "index": 19804} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Aurora, Riley, Aiden, and Harper. \"(if (Riley is a laggard if and only if Aurora is a pioneer) then Scarlett is a pioneer) and ((Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2027, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3],... | {"split": "train", "index": 19805} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Riley, Aurora, Charlotte, and Matthew. \"if (if (Zoey is a pioneer if and only if Riley is a laggard) then (if Charlotte is a pioneer the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2028, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 19806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Avery, Abigail, James, and Jackson. \"it is not the case that (it is not the case that (Abigail is a knight and Jackson is a knave and Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2029, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 0]], [\"l... | {"split": "train", "index": 19807} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Matthew, Henry, Amelia, and Benjamin. Sofia said, \"((Matthew is a knave or Benjamin is a knave) or (Matthew is a knave and Amelia is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2030, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 3]... | {"split": "train", "index": 19808} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Sofia, Olivia, Alexander, and David. Elizabeth was heard saying, \"David is a devil\". According to Sofia, \"(if David is an angel then (Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2031, \"statements\": [[\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 0]]], [\"or\", [... | {"split": "train", "index": 19809} |
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, Isabella, Ethan, Liam, and Jacob. Mia noted, \"((Ethan is an altruist if and only if Isabella is an egoist) if and only if (Isabella is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2032, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"l... | {"split": "train", "index": 19810} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Noah, Jackson, Penelope, and Mason. Riley was heard saying, \"Penelope is a pioneer\". As Noah put it, \"(if (Penelope is a pioneer) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2033, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3],... | {"split": "train", "index": 19811} |
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: Henry, Amelia, Charlotte, Ethan, and Isabella. Henry remarked, \"it is not the case that ((Isabella is an egoist) or (Charlotte is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2034, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", ... | {"split": "train", "index": 19812} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, James, Michael, Lily, and Owen. Jacob remarked, \"(James is an altruist) and ((if Michael is an altruist then Lily is an egoist) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2035, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 19813} |
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, Sebastian, Sofia, Owen, and Victoria. According to Ava, \"Victoria is a laggard\". \"it is not the case that ((if Sofia is a pioneer then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2036, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 2]]]], [\"or\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 0]]], [\... | {"split": "train", "index": 19814} |
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, Victoria, Isabella, Luke, and Logan. According to William, \"(if (if Isabella is a fool then Isabella is a sage) then (Luke is a fool if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2037, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 19815} |
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, Sebastian, Mason, Joseph, and Luke. Chloe asserted: \"it is not the case that (Sebastian is a hero if and only if (if Luke is a hero then Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2038, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"telling-truth\", 0], [\"lying\", 1], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 19816} |
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: Elizabeth, Lucas, Luke, Chloe, and Daniel. Elizabeth expressed that ((Lucas is a hero) if and only if (Luke is a hero)) or ((Elizabeth is a hero if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2039, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"<=>\"... | {"split": "train", "index": 19817} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: William, Luke, Sofia, Elizabeth, and Aiden. William remarked, \"Sofia is a laggard\". Luke told you that ((Sofia is a laggard or Elizabeth is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2040, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 0]], [\"or\", [\"and\", [\"lying\", 0], [\"lyi... | {"split": "train", "index": 19818} |
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, Ethan, Sebastian, Lucas, and Mason. Emma asserted: \"Sebastian is a knight\". Ethan told you that Mason is a knight. Sebastian was heard saying... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2041, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"lying\", 4]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 19819} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Mason, Isabella, Matthew, and Ethan. James said, \"(if Mason is a devil then (Matthew is an angel or Isabella is an angel or Isabella is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2042, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 19820} |
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: Charlotte, Samuel, Benjamin, Henry, and Riley. According to Charlotte, \"((Benjamin is a fool) if and only if (Samuel is a fool or Benjamin is a fool or Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2043, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 1]... | {"split": "train", "index": 19821} |
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, Mason, Lucas, Riley, and Chloe. Olivia said that ((Mason is a saint) if and only if (Mason is a sinner)) or (if (Lucas is a saint) then Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2044, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 2]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [... | {"split": "train", "index": 19822} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, Emily, Samuel, Sofia, and James. \"(if (Samuel is a saint if and only if Sofia is a saint) then Samuel is a saint) if and only if (if (Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2045, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"<... | {"split": "train", "index": 19823} |
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, Joseph, Ava, Riley, and Matthew. According to Henry, \"Henry is a sage\". Joseph stated, \"Henry is a fool and ((Ava is a fool or Riley is a sage or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2046, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"lying\", 0], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 0]], [\"lying\", 0], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telli... | {"split": "train", "index": 19824} |
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: David, Lucas, Mia, Jackson, and Aurora. David said that Mia is an altruist. According to Lucas, \"((Aurora is an egoist) and (Aurora is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2047, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 19825} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Grace, Jackson, Matthew, and Sofia. Alexander commented, \"it is not the case that ((if Matthew is a hero then Grace is a villain) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2048, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], ... | {"split": "train", "index": 19826} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Owen, Aiden, Oliver, and Olivia. In a statement by Lily: \"((if Oliver is a hero then Owen is a hero) and Oliver is a hero) and Lily is a hero\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2049, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"lying\", 4], [\"->\", [\"lying\", 4], [\"->\", [\"->\", [\"telling-truth... | {"split": "train", "index": 19827} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Logan, Owen, Penelope, and Matthew. According to Sophia, \"if Logan is a sage then ((if Sophia is a sage then Matthew is a fool) if and only if (Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2050, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 1]]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [... | {"split": "train", "index": 19828} |
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, Samuel, Elizabeth, Sophia, and Owen. Ava noted, \"Sophia is an altruist\". \"if (Sophia is an egoist or Owen is an egoist) then ((Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2051, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"or\", [\"<=>... | {"split": "train", "index": 19829} |
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: Matthew, Samuel, Riley, Benjamin, and Sophia. In Matthew's words: \"it is not the case that (it is not the case that (Sophia is a laggard if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2052, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 19830} |
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, Michael, Daniel, William, and Lily. \"((if Daniel is a sinner then Daniel is a saint) or Michael is a saint) or ((if Michael is a saint the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2053, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\... | {"split": "train", "index": 19831} |
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, Henry, Harper, William, and Emma. Victoria said, \"(it is not the case that (if William is an egoist then William is an altruist)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2054, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\"... | {"split": "train", "index": 19832} |
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: Isabella, Sofia, Daniel, Alexander, and James. \"Sofia is an egoist,\" Isabella claimed. In Sofia's words: \"Daniel is an altruist\". Daniel wa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2055, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"<=>\", [\"lying\", 1], [\"->\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"lying\"... | {"split": "train", "index": 19833} |
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, Zoey, Matthew, Charlotte, and Owen. \"(Zoey is a hero and (Owen is a villain and Charlotte is a hero) and Owen is a hero) and ((Zoey is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2056, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"ly... | {"split": "train", "index": 19834} |
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, Sofia, Evelyn, Emma, and Avery. According to Jackson, \"(if (if Avery is a laggard then Emma is a pioneer) then (Emma is a laggard if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2057, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", ... | {"split": "train", "index": 19835} |
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, Samuel, Matthew, Aiden, and Harper. In a statement by William: \"it is not the case that (if Aiden is a sage then (Matthew is a sage))\". In Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2058, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"not\", [\"lying\", 2]]]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 3], [\"or\", [\"lying\", 1], [\"->\", [\"->\", [\"telling-tr... | {"split": "train", "index": 19836} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Chloe, David, Emily, and Jackson. Grace told you that (Emily is an angel or (Jackson is an angel and Chloe is a devil and David is a devil)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2059, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling... | {"split": "train", "index": 19837} |
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: Isabella, Henry, James, Ella, and Aiden. As Isabella put it, \"if (James is a devil) then (if (if Henry is an angel then Ella is an angel) then Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2060, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 1]]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"t... | {"split": "train", "index": 19838} |
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: Grace, Zoey, Riley, Amelia, and James. Grace told you that ((Amelia is a villain) if and only if (if Grace is a hero then James is a villain)) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2061, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 1]], [\"->\", [\"->\", [\"... | {"split": "train", "index": 19839} |
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, Ella, Luke, Henry, and Noah. \"(if Ella is a knight then (Emma is a knight and Ella is a knave and Noah is a knave)) or (if (Luke is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2062, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"telling-... | {"split": "train", "index": 19840} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: William, Alexander, Jack, Evelyn, and Sophia. \"it is not the case that ((Evelyn is a laggard if and only if Alexander is a laggard) or (Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2063, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 3]], [\"lying\", 3], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]]]], [\"lying\", 4], [\"or\", [\"no... | {"split": "train", "index": 19841} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Owen, Sofia, Henry, Sebastian, and Aiden. In a statement by Owen: \"((Owen is a villain) and Owen is a hero and (Sofia is a villain if and only if Ai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2064, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 19842} |
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, Luke, Aurora, Scarlett, and Samuel. Emily told you that it is not the case that (it is not the case that (Scarlett is a villain)). \"Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2065, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"lying\", 0], [\"->\", [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]], [\"->\", [... | {"split": "train", "index": 19843} |
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: Emma, Noah, Liam, Joseph, and Victoria. Emma expressed that if (Emma is an altruist and Noah is an altruist and (Emma is an altruist if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2066, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 19844} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, Penelope, William, Lily, and Oliver. Ethan stated, \"(if (Penelope is an egoist or Oliver is an egoist) then Oliver is an altruist) or P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2067, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 4]], [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4]... | {"split": "train", "index": 19845} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: David, Samuel, Aiden, Evelyn, and Owen. \"it is not the case that ((Samuel is a hero and Owen is a villain and Samuel is a villain and Evelyn is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2068, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 19846} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Amelia, Chloe, Avery, and Abigail. Ella noted, \"(if (Amelia is a saint and Avery is a sinner and Ella is a saint) then (Abigail is a saint if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2069, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3],... | {"split": "train", "index": 19847} |
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: Logan, Isabella, Abigail, Daniel, and Emily. Logan told you that ((if Emily is a sinner then Isabella is a saint) and (Abigail is a sinner and Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2070, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\... | {"split": "train", "index": 19848} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, Ethan, Harper, Oliver, and Liam. Ella told you that if (Harper is a laggard if and only if Liam is a pioneer) then ((if Ella is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2071, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 19849} |
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: Owen, Logan, Emma, Olivia, and James. Owen expressed that Owen is an altruist if and only if (if (Logan is an altruist and Emma is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2072, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"or\", [\"or\",... | {"split": "train", "index": 19850} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Grace, Charlotte, Chloe, and Emily. \"if (Charlotte is a sinner or Grace is a saint) then ((if Grace is a saint then Grace is a sinner) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2073, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 4]]], [\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 1], ... | {"split": "train", "index": 19851} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Jacob, Luke, Oliver, and Avery. Alexander noted, \"Oliver is an egoist or ((Oliver is an altruist if and only if Avery is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2074, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\"... | {"split": "train", "index": 19852} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aurora, Lily, Scarlett, Michael, and Mia. Aurora expressed that (it is not the case that (Aurora is a sage if and only if Scarlett is a fool)) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2075, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]],... | {"split": "train", "index": 19853} |
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, Jackson, Benjamin, Amelia, and David. In a statement by Noah: \"Jackson is a knight\". Jackson commented, \"(it is not the case that (Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2076, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"lying\", 0], [\"and\", [\"telling-truth\", 3], [\"not\",... | {"split": "train", "index": 19854} |
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, Penelope, Logan, Michael, and Grace. Emma expressed that ((if Emma is a knight then Grace is a knight) or (if Grace is a knave then Michael is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2077, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\... | {"split": "train", "index": 19855} |
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, Lily, Logan, Isabella, and Daniel. \"if (it is not the case that (Lily is a knight)) then ((Daniel is a knight or Logan is a knight or Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2078, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"and\", [... | {"split": "train", "index": 19856} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Aiden, Emily, Ethan, and Elizabeth. Grace said, \"(Ethan is a devil and (if Ethan is a devil then Aiden is a devil) and (if Elizabeth is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2079, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 19857} |
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, Ella, Elizabeth, Abigail, and James. Ethan said, \"Ella is a knight if and only if ((Ella is a knight or Elizabeth is a knave) and (if Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2080, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"telling-truth\", 3], [\"lying\", 1], [\"<=>\", [\"or\"... | {"split": "train", "index": 19858} |
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, Emily, Aria, Charlotte, and David. Scarlett said, \"it is not the case that (if (if Aria is a saint then David is a saint) then (Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2081, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 3]]]], [\"->\", [\"and\", [\"not... | {"split": "train", "index": 19859} |
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, Grace, Daniel, Aiden, and Jack. Matthew remarked, \"(it is not the case that (if Grace is a villain then Grace is a hero)) if and only if ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2082, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]]], [\"<=>\", [\"... | {"split": "train", "index": 19860} |
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, Amelia, Luke, Victoria, and Alexander. According to Zoey, \"Amelia is a fool\". Amelia noted, \"((Alexander is a sage or Victoria is a fool) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2083, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"lying\", 1]... | {"split": "train", "index": 19861} |
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, Matthew, Ella, Emily, and Logan. Scarlett told you that it is not the case that (it is not the case that (Ella is a knave if and only if Sc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2084, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"lying\", 0], [\"not\",... | {"split": "train", "index": 19862} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lily, Michael, Ella, William, and David. As Lily put it, \"if (if (William is a sage if and only if Lily is a sage) then (Michael is a fool if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2085, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"lying\", 0], [... | {"split": "train", "index": 19863} |
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, Luke, Daniel, Owen, and Emily. In Avery's words: \"if (it is not the case that (Daniel is a pioneer if and only if Luke is a laggard)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2086, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 19864} |
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, Penelope, Mia, Sebastian, and Emma. Olivia was heard saying, \"if ((if Olivia is a saint then Mia is a saint) or (Sebastian is a sinner if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2087, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 4]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\... | {"split": "train", "index": 19865} |
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: Grace, Scarlett, Aria, Riley, and Jack. Grace expressed that Jack is a fool. \"Aria is a fool,\" Scarlett mentioned. Aria expressed that Riley is a fool. R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2088, \"statements\": [[\"lying\", 4], [\"lying\", 2], [\"lying\", 3], [\"not\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 19866} |
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, Emily, Emma, Daniel, and Isabella. Elizabeth remarked, \"((if Elizabeth is a saint then Emma is a saint) if and only if (Elizabeth is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2089, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"t... | {"split": "train", "index": 19867} |
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, Mason, Grace, Sebastian, and William. Emily remarked, \"(it is not the case that (if Sebastian is a hero then Mason is a hero)) or ((Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2090, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"t... | {"split": "train", "index": 19868} |
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: Noah, Victoria, Henry, Aiden, and Sofia. In a statement by Noah: \"if (it is not the case that (Noah is a saint if and only if Henry is a sinner)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2091, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\... | {"split": "train", "index": 19869} |
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, Ava, Avery, Scarlett, and Sebastian. \"((Ava is a hero if and only if Sebastian is a hero) and (if Avery is a hero then Avery is a villain)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2092, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"... | {"split": "train", "index": 19870} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Amelia, Henry, Alexander, Ella, and Isabella. Amelia expressed that Henry is an altruist. \"(if (Ella is an egoist or Amelia is an egoist or Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2093, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 4]], [\"... | {"split": "train", "index": 19871} |
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, Sebastian, Avery, Lucas, and Lily. William asserted: \"((Avery is a villain and Sebastian is a villain) and (if Lily is a hero then William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2094, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]... | {"split": "train", "index": 19872} |
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, Alexander, Zoey, Sophia, and Isabella. Amelia noted, \"((Amelia is a pioneer or Zoey is a laggard) or (Amelia is a pioneer and Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2095, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1], ... | {"split": "train", "index": 19873} |
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, Olivia, Aiden, Charlotte, and Aria. \"(if (Aiden is a villain or Aria is a hero or Charlotte is a villain) then (Charlotte is a villain)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2096, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3], ... | {"split": "train", "index": 19874} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Matthew, Chloe, James, and Samuel. Sebastian said, \"James is a fool.\" \"if ((Chloe is a fool and Matthew is a sage) if and only if (if James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2097, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 19875} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Joseph, Scarlett, Abigail, and Ethan. David was heard saying, \"((David is a pioneer and Joseph is a pioneer and Scarlett is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2098, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"te... | {"split": "train", "index": 19876} |
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: Matthew, Aiden, Emily, Olivia, and Luke. \"((Luke is a pioneer if and only if Matthew is a pioneer) if and only if (Olivia is a laggard)) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2099, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\"... | {"split": "train", "index": 19877} |
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, Benjamin, Michael, Elizabeth, and Zoey. Amelia was heard saying, \"it is not the case that ((if Zoey is a sage then Benjamin is a sage) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2100, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", ... | {"split": "train", "index": 19878} |
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: Victoria, Michael, Samuel, Riley, and Isabella. In Victoria's words: \"((Samuel is an angel if and only if Isabella is a devil) if and only if (Victori... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2101, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4... | {"split": "train", "index": 19879} |
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, Jacob, Oliver, Amelia, and Aurora. In a statement by Aria: \"(if (Aria is a villain) then Aria is a hero) and Amelia is a hero\". In a statemen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2102, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"and\", [\"or\", [\"lying\", 0], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\... | {"split": "train", "index": 19880} |
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: Matthew, Liam, Daniel, Mason, and Oliver. \"(if (Matthew is a sage if and only if Liam is a sage) then (if Daniel is a sage then Liam is a fool)) or (if Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2103, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"lying\", 4], [\"not\", [\"lying\", 2]]], [\"->\", [\"<=>\", [\"... | {"split": "train", "index": 19881} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Elizabeth, Abigail, Penelope, and Charlotte. \"((if Abigail is a villain then Charlotte is a villain) and (Elizabeth is a hero and Charlotte is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2104, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 19882} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Luke, Avery, Matthew, and Samuel. According to Scarlett, \"it is not the case that ((Avery is a pioneer if and only if Matthew is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2105, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"telling-truth\", 0], [\"->\", [\"and\", [\"telling-truth\", 0], [\"no... | {"split": "train", "index": 19883} |
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: Charlotte, Penelope, Daniel, Avery, and Sebastian. \"((Penelope is a saint and Daniel is a saint and Avery is a sinner and Sebastian is a saint) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2106, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4... | {"split": "train", "index": 19884} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, James, Emma, Sophia, and Avery. William said that Sophia is a saint or ((if Avery is a saint then Emma is a saint) and James is a sinner) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2107, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"no... | {"split": "train", "index": 19885} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Lily, Chloe, Avery, and Michael. In a statement by Scarlett: \"((Chloe is a laggard) if and only if (if Lily is a pioneer then Avery ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2108, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"->\", [... | {"split": "train", "index": 19886} |
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: Benjamin, Aria, Aurora, Jacob, and Ava. \"it is not the case that (Aurora is an altruist or (Aria is an egoist or Aurora is an altruist))\" - B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2109, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"not\", [\"lying\", 0]], [\"lying\", 4]], [\"telling-truth\", 3]], [\"or\", [\"or\", [\... | {"split": "train", "index": 19887} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Avery, Ava, Alexander, Noah, and Lucas. As Avery put it, \"it is not the case that ((Noah is a knight if and only if Ava is a knight) and (Lucas is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2110, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"tell... | {"split": "train", "index": 19888} |
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: Matthew, Benjamin, Michael, Aurora, and Jackson. \"Benjamin is a sage\" - Matthew. Benjamin commented, \"((Jackson is a fool if and only if Matthew is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2111, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]... | {"split": "train", "index": 19889} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Riley, Matthew, Evelyn, and Jacob. Alexander noted, \"(if (Alexander is a knight or Jacob is a knave or Riley is a knight) then (Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2112, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-trut... | {"split": "train", "index": 19890} |
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, Olivia, Michael, Riley, and Benjamin. As Charlotte put it, \"(if Riley is an altruist then (Olivia is an altruist if and only if Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2113, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-tru... | {"split": "train", "index": 19891} |
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, Emily, Aria, Daniel, and Evelyn. Samuel noted, \"if (it is not the case that (Evelyn is a sinner or Daniel is a saint or Aria is a sinner or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2114, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 19892} |
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: Elizabeth, Olivia, Aiden, Riley, and Scarlett. Elizabeth noted, \"(Olivia is a knave and (Elizabeth is a knight if and only if Olivia is a knight) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2115, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 2]]], [\"<=>... | {"split": "train", "index": 19893} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Ethan, Zoey, Harper, and Michael. Mason said, \"(if Harper is a knave then Zoey is a knave) or (if (Ethan is a knave if and only if Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2116, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 19894} |
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: Evelyn, Jack, Isabella, Sebastian, and Henry. Evelyn stated, \"if (it is not the case that (Isabella is a sinner or Sebastian is a saint or Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2117, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 19895} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Mia, Harper, Benjamin, and Lily. William remarked, \"Mia is an angel or ((if Mia is an angel then Harper is a devil) if and only if (Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2118, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"and\",... | {"split": "train", "index": 19896} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Joseph, Michael, Sophia, and Evelyn. \"(Joseph is an altruist or (Sophia is an altruist and Joseph is an egoist and Michael is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2119, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]], [\"->\",... | {"split": "train", "index": 19897} |
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, Luke, James, Charlotte, and Elizabeth. Zoey told you that (it is not the case that (Zoey is an angel if and only if Elizabeth is a devil)) or (Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2120, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"lying\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]], [\"not\",... | {"split": "train", "index": 19898} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Ethan, Aiden, Evelyn, and Harper. Oliver expressed that (it is not the case that (Ethan is an altruist)) if and only if ((Evelyn is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2121, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]]]], [\"and\", [\"or\", [\"or\", [\"ly... | {"split": "train", "index": 19899} |
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