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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Zoey, Benjamin, Lucas, Aiden, and Owen. \"if (if (Owen is a sinner if and only if Owen is a saint) then (Owen is a sinner and Benjamin is a sinner)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2066, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1... | {"split": "train", "index": 15400} |
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: Ava, Elizabeth, Lily, Daniel, and Sophia. Ava told you that if (if (Elizabeth is a hero) then (if Elizabeth is a hero then Daniel is a villain)) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2067, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"->\", [\"telling-t... | {"split": "train", "index": 15401} |
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: Riley, Sofia, Owen, Avery, and Noah. \"Sofia is a sinner,\" Riley mentioned. \"((Avery is a sinner) if and only if (if Noah is a sinner then Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2068, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"t... | {"split": "train", "index": 15402} |
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: Chloe, Daniel, Ella, Olivia, and Victoria. \"(if (Chloe is a saint and Ella is a sinner) then (Victoria is a sinner)) if and only if ((Olivia is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2069, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 4]]], [\... | {"split": "train", "index": 15403} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Jacob, Emma, Michael, and Charlotte. Aurora asserted: \"if (if Emma is an egoist then (Charlotte is an egoist if and only if Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2070, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 15404} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Charlotte, Lucas, Henry, and Emily. \"((Henry is a hero if and only if Emily is a villain) if and only if (Charlotte is a villain)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2071, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-tru... | {"split": "train", "index": 15405} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Samuel, Isabella, Jacob, Benjamin, and Charlotte. Samuel asserted: \"it is not the case that (it is not the case that (Isabella is a devil or Samuel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2072, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"->\", [\"lying\", 0], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2... | {"split": "train", "index": 15406} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Sophia, Riley, Matthew, and Harper. Zoey said that Sophia is a sage. Sophia expressed that it is not the case that (Matthew is a sage if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2073, \"statements\": [[\"not\", [\"lying\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [... | {"split": "train", "index": 15407} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Amelia, Mia, Liam, and Benjamin. Aurora said that Mia is an egoist. \"if ((Amelia is an egoist) and (Benjamin is an altruist or Amelia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2074, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [\"te... | {"split": "train", "index": 15408} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, Amelia, Aiden, Scarlett, and Logan. Evelyn was heard saying, \"(Aiden is an egoist and (Scarlett is an egoist or Amelia is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2075, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]]], [\"or\", [\"not\", [\... | {"split": "train", "index": 15409} |
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, Daniel, Aurora, Scarlett, and Ethan. Sofia stated, \"(it is not the case that (Scarlett is a hero if and only if Aurora is a villain)) or ((Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2076, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"telling-truth\", 0], [\"or\", [\... | {"split": "train", "index": 15410} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Grace, Lucas, Elizabeth, and Daniel. Aiden commented, \"Elizabeth is a knight\". Grace stated, \"if ((Lucas is a knight) if and only if (Eliza... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2077, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 15411} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Abigail, Elizabeth, Sophia, Riley, and Avery. \"(if (Riley is a laggard and Avery is a pioneer) then (Riley is a laggard and Avery is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2078, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\",... | {"split": "train", "index": 15412} |
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, Lucas, Logan, Emma, and Charlotte. In a statement by Grace: \"((if Charlotte is a fool then Emma is a fool) and Logan is a fool) if and only if ((Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2079, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 2]]]], [\"or\", [\"not\",... | {"split": "train", "index": 15413} |
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, Olivia, Victoria, Mason, and Scarlett. Emma remarked, \"if (if Victoria is an egoist then (Olivia is an altruist if and only if Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2080, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"or\", [\"telling... | {"split": "train", "index": 15414} |
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, Olivia, Oliver, William, and Sophia. Jacob asserted: \"it is not the case that (William is an altruist)\". Olivia remarked, \"if ((Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2081, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [... | {"split": "train", "index": 15415} |
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, David, Logan, Scarlett, and Olivia. Riley said, \"it is not the case that (if (Logan is a pioneer) then (Olivia is a laggard)).\" David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2082, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"tellin... | {"split": "train", "index": 15416} |
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: David, Owen, Joseph, Elizabeth, and Riley. In a statement by David: \"it is not the case that (Elizabeth is a devil if and only if (Elizabeth is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2083, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"lying\", 3], [\"or\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0... | {"split": "train", "index": 15417} |
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, Amelia, Logan, Jackson, and Liam. Mason said, \"((if Logan is a sinner then Amelia is a saint) or (Liam is a sinner if and only if Logan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2084, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-tru... | {"split": "train", "index": 15418} |
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: Logan, Zoey, Alexander, Lucas, and Grace. Logan asserted: \"it is not the case that (if (Grace is an angel if and only if Logan is an angel) then (Grac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2085, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 0], [\"not\"... | {"split": "train", "index": 15419} |
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: Lucas, Avery, Amelia, Samuel, and Jacob. Lucas said that ((if Amelia is a saint then Lucas is a saint) or (Amelia is a sinner)) or (if Samuel is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2086, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]... | {"split": "train", "index": 15420} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, William, Alexander, Joseph, and Evelyn. \"(Zoey is a knave) and ((if Evelyn is a knight then William is a knave) if and only if (Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2087, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 4], ... | {"split": "train", "index": 15421} |
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: Chloe, Lucas, Jackson, Ethan, and Evelyn. \"if (if (Ethan is a saint if and only if Lucas is a saint) then (Lucas is a saint and Lucas is a sinner)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2088, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"te... | {"split": "train", "index": 15422} |
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, Liam, Isabella, Jacob, and Noah. Samuel said, \"Liam is a villain.\" Liam remarked, \"((if Jacob is a villain then Noah is a hero) and (Noah ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2089, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 15423} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Michael, Lily, Emily, Samuel, and Zoey. In Michael's words: \"if Samuel is an egoist then ((Samuel is an altruist) or (Emily is an altruist))\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2090, \"statements\": [[\"->\", [\"lying\", 3], [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 0]]],... | {"split": "train", "index": 15424} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Lily, Zoey, Emma, and Alexander. Matthew noted, \"Lily is an angel\". \"Emma is an angel\" - Lily. \"Matthew is an angel,\" Zoey declared. In ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2091, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"tel... | {"split": "train", "index": 15425} |
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: Samuel, Liam, William, Sebastian, and Mia. Samuel expressed that ((Liam is a fool) or (William is a sage)) or (Liam is a sage and Sebastian is a sage). As ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2092, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [... | {"split": "train", "index": 15426} |
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, Oliver, Luke, Samuel, and Mason. Charlotte stated, \"((Luke is a sage if and only if Oliver is a sage) or (Oliver is a sage)) or ((Mason is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2093, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 2]]]], [\"not\"... | {"split": "train", "index": 15427} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jackson, Michael, Ella, Aria, and Daniel. Jackson noted, \"Aria is an altruist\". \"(Aria is an egoist and (Daniel is an egoist or Michael is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2094, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"lying\",... | {"split": "train", "index": 15428} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emma, Emily, Samuel, Joseph, and Ethan. \"(it is not the case that (if Ethan is a sage then Joseph is a sage)) and (if (Ethan is a sage or Emily is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2095, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"->\", [\"->\", [\"not\", ... | {"split": "train", "index": 15429} |
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: Michael, Harper, Elizabeth, Avery, and Evelyn. In Michael's words: \"(it is not the case that (Michael is a hero or Harper is a villain)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2096, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 4]], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\"... | {"split": "train", "index": 15430} |
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, Mia, Sebastian, and Aria. Jackson said that (it is not the case that (Jackson is a pioneer if and only if Sebastian is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2097, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 15431} |
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, Mia, David, Abigail, and Joseph. Noah said, \"((Noah is a saint or Joseph is a sinner) or (David is a sinner)) or Joseph is a saint.\" Mia stat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2098, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->... | {"split": "train", "index": 15432} |
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: Aria, Isabella, Jacob, Abigail, and Riley. \"it is not the case that ((Aria is a sage or Jacob is a sage) if and only if (Jacob is a sage)),\" Aria declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2099, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"lying\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]],... | {"split": "train", "index": 15433} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Luke, Liam, Daniel, and William. Zoey noted, \"(if (Daniel is an egoist and William is an egoist) then (William is an egoist and Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2100, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"or\", [\"<=>\", ... | {"split": "train", "index": 15434} |
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: Grace, Amelia, David, Sofia, and Michael. Grace expressed that if ((David is a knave if and only if Amelia is a knave) or (if Sofia is a knight then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2101, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"not\", [\"ly... | {"split": "train", "index": 15435} |
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: Liam, Harper, Owen, Daniel, and Ethan. \"((Daniel is a laggard or Ethan is a laggard) and (Ethan is a pioneer)) if and only if ((Daniel is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2102, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 0]]], [\"lying\", 2], [\"telling-truth\", 2], [\"and\", ... | {"split": "train", "index": 15436} |
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, Mia, Oliver, Jackson, and Alexander. Evelyn commented, \"Oliver is a fool or (if (Alexander is a fool and Jackson is a sage) then Jackson is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2103, \"statements\": [[\"or\", [\"lying\", 2], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"a... | {"split": "train", "index": 15437} |
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, Olivia, David, Jacob, and Mia. Aiden asserted: \"(it is not the case that (Mia is an angel)) or ((Aiden is an angel or Mia is an angel) or (Davi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2104, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]]], [\"lying\", 0], [\"<=>\", [\"and\", [\"or\", [\"telling-trut... | {"split": "train", "index": 15438} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Michael, Alexander, Henry, Ella, and Luke. Michael commented, \"(it is not the case that (Henry is an altruist)) or ((Alexander is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2105, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 2]]]], [\"or\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"ly... | {"split": "train", "index": 15439} |
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, Riley, Mason, Olivia, and Luke. Sofia said, \"it is not the case that ((Olivia is a devil or Riley is an angel) and (Riley is an angel if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2106, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 4... | {"split": "train", "index": 15440} |
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, Jack, Mia, Daniel, and Jackson. \"it is not the case that (Mia is a pioneer and (Jack is a pioneer and Jackson is a laggard)),\" Lily cla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2107, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"not\", [\"and\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]]... | {"split": "train", "index": 15441} |
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, Daniel, Grace, Lily, and Michael. Aria was heard saying, \"Daniel is a hero\". Daniel told you that (it is not the case that (if Grace is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2108, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"<=>\", [\"not\", ... | {"split": "train", "index": 15442} |
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, Zoey, Olivia, Riley, and Aiden. Emma said that (if (Olivia is an egoist and Riley is an egoist) then (Riley is an altruist or Aiden is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2109, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"... | {"split": "train", "index": 15443} |
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: Riley, Mason, Henry, Oliver, and Lucas. Riley noted, \"((Lucas is a saint and Henry is a saint) and (Lucas is a sinner or Henry is a saint)) and (Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2110, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 15444} |
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, Charlotte, Harper, Michael, and Aiden. \"Michael is a pioneer,\" Amelia declared. In Charlotte's words: \"if ((Harper is a pioneer or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2111, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 4], [\"not\", [\"te... | {"split": "train", "index": 15445} |
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: Ella, Victoria, Luke, Avery, and Samuel. Ella told you that if (it is not the case that (Samuel is a knave and Luke is a knight)) then ((Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2112, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"lying\", 2], [\"telling-... | {"split": "train", "index": 15446} |
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, Sebastian, Owen, Olivia, and Samuel. Emma said, \"if ((Owen is a laggard and Sebastian is a pioneer) and (Owen is a pioneer)) then Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2113, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"lying\", 1]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"tell... | {"split": "train", "index": 15447} |
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: Harper, Luke, Lucas, Benjamin, and David. \"David is a devil and ((Luke is a devil) or (Benjamin is a devil or Luke is a devil)),\" Harper mentioned. A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2114, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 1]]]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"not\", [\"lying\",... | {"split": "train", "index": 15448} |
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: Ava, Michael, Sophia, Lily, and Jacob. Ava told you that ((if Michael is a devil then Lily is a devil) or Jacob is an angel) or (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2115, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\",... | {"split": "train", "index": 15449} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lucas, Jacob, Avery, Grace, and Logan. Lucas said that ((if Jacob is an egoist then Logan is an egoist) and Grace is an altruist) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2116, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]... | {"split": "train", "index": 15450} |
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: James, Penelope, Elizabeth, Lily, and Jack. As James put it, \"if (if James is a sage then (if Lily is a fool then Penelope is a sage)) then (Penelope is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2117, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"<=>\", [\"no... | {"split": "train", "index": 15451} |
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, Owen, David, Logan, and Jacob. Riley said that if Logan is a laggard then (it is not the case that (Owen is a laggard and David is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2118, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [... | {"split": "train", "index": 15452} |
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, Jacob, Olivia, Aurora, and Liam. In a statement by Isabella: \"((if Aurora is a pioneer then Olivia is a laggard) or (Aurora is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2119, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth... | {"split": "train", "index": 15453} |
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: Chloe, Lucas, Riley, Aiden, and Jackson. \"Riley is a knight,\" Chloe claimed. Lucas remarked, \"if (it is not the case that (if Jackson is a knave t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2120, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 0]]]], [\"telling-truth\", 1], [\"not\", [\"lying\", 4]], [\"-... | {"split": "train", "index": 15454} |
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, Matthew, Benjamin, Samuel, and Noah. Aiden commented, \"((Benjamin is an altruist and Benjamin is an egoist) if and only if (Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2121, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 1]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 2]... | {"split": "train", "index": 15455} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lucas, Benjamin, William, Olivia, and Elizabeth. \"((Benjamin is an egoist) if and only if (Elizabeth is an egoist)) and ((if Lucas is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2122, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]]],... | {"split": "train", "index": 15456} |
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, Samuel, Lily, Abigail, and Olivia. \"Olivia is a pioneer,\" Mason declared. Samuel was heard saying, \"it is not the case that (Olivia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2123, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"lying\", 3]]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-... | {"split": "train", "index": 15457} |
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, Lily, Ethan, Jack, and Samuel. Owen asserted: \"it is not the case that ((Lily is a knave) or Samuel is a knave)\". According to Lily, \"Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2124, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]]], [\"lying\", 0], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"ly... | {"split": "train", "index": 15458} |
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, Liam, Ella, Harper, and Riley. In a statement by David: \"((Harper is a villain and Ella is a hero) if and only if (Liam is a villain)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2125, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"an... | {"split": "train", "index": 15459} |
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, Daniel, Elizabeth, Liam, and David. \"if (it is not the case that (Elizabeth is a sinner and Liam is a saint)) then (David is a sinner or (Eliz... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2126, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"not\", [\"and\", [\"lying\", 0], [... | {"split": "train", "index": 15460} |
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: Luke, Daniel, Michael, Avery, and Joseph. In a statement by Luke: \"(if (Joseph is a laggard) then (Michael is a pioneer if and only if Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2127, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 15461} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Chloe, Aurora, Evelyn, and Scarlett. Sofia said that if ((Aurora is a laggard) if and only if (if Aurora is a laggard then Evelyn is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2128, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 15462} |
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: Scarlett, Grace, Olivia, Oliver, and Logan. \"((Logan is a villain if and only if Olivia is a villain) if and only if (Oliver is a villain and Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2129, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 15463} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Abigail, Liam, David, and Daniel. Noah said, \"(if (David is a hero if and only if Liam is a hero) then David is a villain) and (Daniel is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2130, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"and\", [\"and\", [\"or\", ... | {"split": "train", "index": 15464} |
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, Ava, Emma, Owen, and Logan. Jackson stated, \"(it is not the case that (if Owen is a devil then Logan is an angel)) or (Jackson is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2131, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 3]]], [\"... | {"split": "train", "index": 15465} |
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: Chloe, Joseph, Emma, Jack, and Elizabeth. As Chloe put it, \"if ((Jack is a knight and Chloe is a knight) or (Elizabeth is a knight if and only if Jo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2132, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 1], [\"not\", [\"lying\", 4]]]], [\"lying\", ... | {"split": "train", "index": 15466} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Riley, Liam, Ella, and Luke. Aria commented, \"Ella is an altruist\". \"if (it is not the case that (Aria is an egoist)) then (it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2133, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"and\"... | {"split": "train", "index": 15467} |
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, Olivia, Aurora, Samuel, and David. \"((Olivia is a pioneer and Aurora is a pioneer) or (Aurora is a pioneer or Olivia is a pioneer)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2134, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 4]], [\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 15468} |
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, Emma, Aiden, Charlotte, and Emily. \"if ((Emily is a pioneer) or (Mia is a pioneer if and only if Charlotte is a pioneer)) then (if (Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2135, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 15469} |
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: Ella, Samuel, Riley, Jacob, and Chloe. Ella stated, \"Samuel is a knight\". \"if Riley is a knight then (if (Ella is a knave or Chloe is a knave) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2136, \"statements\": [[\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 15470} |
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, Abigail, Daniel, Lucas, and Penelope. Aria asserted: \"((Aria is a hero if and only if Daniel is a hero) and (Penelope is a villain or Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2137, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 15471} |
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: Liam, Sophia, Oliver, Grace, and Aurora. In a statement by Liam: \"(it is not the case that (if Oliver is a pioneer then Liam is a pioneer)) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2138, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"telling-truth\", ... | {"split": "train", "index": 15472} |
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, James, Emma, Ava, and Emily. Ethan remarked, \"Emily is an egoist\". \"((Ethan is an egoist if and only if Ava is an egoist) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2139, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"->\", [\"not\", [\"and\", [\"t... | {"split": "train", "index": 15473} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Penelope, Riley, Sofia, Liam, and Ava. \"Riley is a laggard and Penelope is a pioneer,\" Penelope claimed. \"((Penelope is a laggard) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2140, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 1], [\"->\", [\"l... | {"split": "train", "index": 15474} |
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, Victoria, Oliver, Owen, and Grace. Zoey asserted: \"Oliver is a fool\". Victoria stated, \"Oliver is a sage and (Grace is a sage if and only if (if Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2141, \"statements\": [[\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"->\", [\"not\", [\"... | {"split": "train", "index": 15475} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Chloe, Logan, James, Sebastian, and Jack. In Chloe's words: \"(it is not the case that (Logan is a pioneer or Logan is a laggard)) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2142, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"not\", [\"or\", ... | {"split": "train", "index": 15476} |
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: Ava, Amelia, Jackson, Daniel, and Avery. \"it is not the case that (if (Amelia is a sage and Daniel is a fool) then Jackson is a sage),\" Ava declared. As ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2143, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 3], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4... | {"split": "train", "index": 15477} |
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, Liam, Emma, Sebastian, and Harper. \"((Harper is a devil) and (James is an angel or Emma is an angel)) or Emma is an angel,\" James mentioned. L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2144, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", ... | {"split": "train", "index": 15478} |
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, Jacob, Joseph, James, and Victoria. Emma said, \"if ((if James is an altruist then James is an egoist) and James is an altruist) then (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2145, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]]... | {"split": "train", "index": 15479} |
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, Charlotte, Mason, Alexander, and Jacob. Emma stated, \"Mason is a pioneer or ((Alexander is a pioneer) if and only if (if Emma is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2146, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"lying\", 2], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"... | {"split": "train", "index": 15480} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Sophia, Olivia, Ava, and Evelyn. Sofia said that Evelyn is a saint. Sophia stated, \"Olivia is a saint or (it is not the case that (Olivia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2147, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 15481} |
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, Jackson, Olivia, Alexander, and Isabella. Victoria said, \"(Victoria is a devil) or (if (Victoria is an angel or Olivia is a devil) then Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2148, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\... | {"split": "train", "index": 15482} |
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: Jacob, Mia, Emily, Sebastian, and Luke. Jacob remarked, \"Emily is a knight\". As Mia put it, \"if (Jacob is a knight or Emily is a knight) then ((Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2149, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]]], [\"or\", [\"->\", [\"a... | {"split": "train", "index": 15483} |
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, Lily, Joseph, Penelope, and Logan. Samuel said, \"Lily is a villain.\" Lily told you that ((if Samuel is a villain then Penelope is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2150, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], ... | {"split": "train", "index": 15484} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lucas, Sophia, James, Luke, and Scarlett. Lucas said, \"((Luke is an egoist if and only if Luke is an altruist) or (Sophia is an egoist and Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2151, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\... | {"split": "train", "index": 15485} |
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: Ethan, Daniel, Sofia, Amelia, and Olivia. \"((Daniel is a pioneer if and only if Amelia is a pioneer) or (Ethan is a pioneer or Amelia is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2152, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lyi... | {"split": "train", "index": 15486} |
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, Aurora, David, Joseph, and Elizabeth. Sofia expressed that (Aurora is a knave) if and only if ((Aurora is a knave and Elizabeth is a knave) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2153, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\... | {"split": "train", "index": 15487} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jackson, Scarlett, Charlotte, Henry, and Logan. Jackson expressed that if Jackson is an altruist then ((Scarlett is an egoist if and only if Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<... | {"split": "train", "index": 15488} |
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: Riley, Harper, Sofia, Avery, and Jacob. In Riley's words: \"Harper is a villain\". Harper was heard saying, \"((Riley is a villain) if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"not\", [\"<=>\",... | {"split": "train", "index": 15489} |
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: Michael, Liam, Matthew, Noah, and William. Michael commented, \"((if Michael is a hero then William is a hero) and (if Noah is a villain then Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 1]]], [\"t... | {"split": "train", "index": 15490} |
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, Aria, Jack, Samuel, and Harper. Avery noted, \"((Aria is a pioneer and Jack is a pioneer) if and only if (Samuel is a pioneer if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"-... | {"split": "train", "index": 15491} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Noah, Jackson, Matthew, and Aurora. Harper expressed that ((Jackson is a villain or Matthew is a villain) and (Jackson is a hero)) and Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"not\", [\"lying\", 3]], [\"telling-truth\", 4], [\"<=>\", [\"... | {"split": "train", "index": 15492} |
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, Penelope, Ethan, Ava, and Logan. Noah told you that (it is not the case that (Logan is a sage or Ethan is a fool)) and ((if Penelope is a sage then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"->\", [\"or\", ... | {"split": "train", "index": 15493} |
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, Liam, Isabella, Oliver, and Aiden. In a statement by Sofia: \"(if Aiden is a knave then Isabella is a knave) or Liam is a knave\". Liam commen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 1]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"not\", [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 0]]]], [\"telling-truth\", 0]... | {"split": "train", "index": 15494} |
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, William, Luke, Liam, and Samuel. Jackson commented, \"if ((Jackson is a laggard) if and only if (Jackson is a pioneer if and only if L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 3]]]], [... | {"split": "train", "index": 15495} |
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, Mason, Samuel, Emma, and Noah. \"(if (Samuel is a hero or Emma is a villain) then (if Samuel is a hero then Mason is a villain)) and Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"telling-truth\", 3]], [\"->\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-tr... | {"split": "train", "index": 15496} |
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, Isabella, Chloe, Samuel, and Sophia. According to Benjamin, \"(if (Chloe is a knave) then (Chloe is a knight and Sophia is a knave)) or (it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"telling-truth\", 0], [\"not\", [\"and\", [\"and\", [\"te... | {"split": "train", "index": 15497} |
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, Benjamin, James, Victoria, and Aurora. \"Aurora is a fool,\" Abigail mentioned. \"(it is not the case that (Abigail is a sage)) if and only if Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"not\", [\"lying\", 0]]], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"->\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\... | {"split": "train", "index": 15498} |
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, Sofia, Avery, Logan, and Chloe. \"(it is not the case that (Chloe is a villain if and only if Logan is a hero)) or ((Logan is a hero or Logan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\... | {"split": "train", "index": 15499} |
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