data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Isabella, Jacob, Emily, Sebastian, and Lucas. \"if Lucas is a hero then (Lucas is a hero and Jacob is a villain),\" Isabella declared. Jacob said, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0]],... | {"split": "train", "index": 7200} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Emily, Penelope, Jack, and Zoey. Harper told you that (Emily is a knight if and only if Jack is a knave) or (Zoey is a knight if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 4]... | {"split": "train", "index": 7201} |
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, Emily, Olivia, Daniel, and Riley. Amelia commented, \"(Daniel is an egoist) and (Amelia is an altruist and Emily is an altruist)\". In ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 7202} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Amelia, Matthew, Chloe, and Ethan. Samuel said that (Matthew is an egoist or Matthew is an altruist) if and only if (Ethan is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"lying\", 4], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\... | {"split": "train", "index": 7203} |
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, Emma, William, Daniel, and Luke. David told you that (William is a laggard or Luke is a pioneer) if and only if (Luke is a pioneer). \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"n... | {"split": "train", "index": 7204} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Victoria, Sofia, Scarlett, and Owen. Samuel said that if (Scarlett is an egoist) then (Scarlett is an egoist or Samuel is an altruist).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 2], [\"not... | {"split": "train", "index": 7205} |
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: Ella, Harper, William, Daniel, and Aiden. Ella told you that William is an angel. Harper noted, \"Daniel is an angel\". William said, \"it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", ... | {"split": "train", "index": 7206} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Aria, Penelope, Grace, and Mason. Sebastian noted, \"(Aria is a knight and Penelope is a knave) if and only if (Sebastian is a knave)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"<=>\"... | {"split": "train", "index": 7207} |
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: Henry, Matthew, Samuel, Emma, and Lily. As Henry put it, \"it is not the case that (Matthew is a villain and Henry is a hero)\". In a statement by Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 0], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 7208} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Jack, Riley, Ella, and Evelyn. Lily commented, \"(Jack is an altruist and Evelyn is an altruist) and Lily is an altruist\". Jack was hear... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"no... | {"split": "train", "index": 7209} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Joseph, Grace, Logan, and Sofia. As Emily put it, \"Joseph is a fool if and only if (Sofia is a sage and Grace is a sage)\". In Joseph's words: \"Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"<=>\", [\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], ... | {"split": "train", "index": 7210} |
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, Victoria, Benjamin, Samuel, and Aurora. \"Victoria is a sinner\" - Scarlett. \"Benjamin is a sinner,\" Victoria declared. Benjamin was hear... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"lying\", 1], [\"lying\", 2], [\"lying\", 1], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telli... | {"split": "train", "index": 7211} |
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, Oliver, Jackson, Avery, and Harper. In a statement by Grace: \"Avery is a knight\". As Oliver put it, \"if (Jackson is a knight and Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [... | {"split": "train", "index": 7212} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Evelyn, Sophia, Luke, and Victoria. Benjamin told you that (Victoria is a pioneer if and only if Sophia is a pioneer) or (Victoria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth... | {"split": "train", "index": 7213} |
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, Lily, Riley, Sophia, and Evelyn. \"it is not the case that (Sophia is a villain and David is a hero),\" David claimed. Lily told you that (Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->... | {"split": "train", "index": 7214} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Evelyn, Sebastian, Aiden, and Daniel. In a statement by Mia: \"if (Mia is a saint if and only if Daniel is a saint) then (Evelyn is a saint)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 3], [\"<=>\", [\"telling... | {"split": "train", "index": 7215} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Penelope, Ella, Charlotte, and Samuel. Lucas remarked, \"if (if Lucas is a sage then Ella is a fool) then (if Penelope is a fool then Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"or\... | {"split": "train", "index": 7216} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Aurora, Matthew, Emma, and Lily. Logan expressed that (Aurora is a fool and Matthew is a fool) or (Matthew is a sage). According to Aurora, \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 7217} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Olivia, Elizabeth, Scarlett, David, and Benjamin. Olivia asserted: \"Benjamin is a pioneer if and only if (David is a pioneer if and only if Sc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"and... | {"split": "train", "index": 7218} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Samuel, Ava, Benjamin, and David. \"it is not the case that (Samuel is a knave or Ava is a knave),\" James claimed. Samuel told you that James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"lying\", 0], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\... | {"split": "train", "index": 7219} |
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, Joseph, Lily, William, and Matthew. Emily noted, \"Matthew is an angel and (Lily is a devil and Matthew is a devil)\". Joseph was heard saying, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 0], [\"<=>\", [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lyi... | {"split": "train", "index": 7220} |
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, Logan, Mason, Ethan, and Jacob. In a statement by William: \"(Logan is a saint and Mason is a sinner) and (if William is a saint then Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 3], [\"lying\", 0], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], ... | {"split": "train", "index": 7221} |
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: Penelope, Elizabeth, Sebastian, Isabella, and Chloe. Penelope commented, \"Isabella is an angel\". In Elizabeth's words: \"it is not the case that (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"telling-tru... | {"split": "train", "index": 7222} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Harper, Jacob, William, Zoey, and Michael. Harper commented, \"(Harper is a laggard) or William is a pioneer\". Jacob stated, \"(William is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 1], [\"ly... | {"split": "train", "index": 7223} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Jackson, Mason, Lily, and Sofia. According to Benjamin, \"it is not the case that (if Jackson is a laggard then Benjamin is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"lying\", 1]], [\"an... | {"split": "train", "index": 7224} |
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, Mia, Jackson, Lily, and Emily. According to Elizabeth, \"if Mia is a devil then (Elizabeth is an angel if and only if Lily is an angel)\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 7225} |
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: Sofia, Evelyn, Aria, Riley, and Samuel. Sofia remarked, \"it is not the case that (if Evelyn is a fool then Riley is a sage)\". Evelyn asserted: \"Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [... | {"split": "train", "index": 7226} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sofia, Lily, Logan, Chloe, and Michael. \"Lily is an egoist or (Michael is an altruist if and only if Logan is an altruist),\" Sofia declared. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"lying\",... | {"split": "train", "index": 7227} |
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: Aria, Ella, Jack, Sebastian, and Michael. Aria noted, \"if (Sebastian is a knave if and only if Ella is a knave) then (if Jack is a knave then Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 7228} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Sophia, Charlotte, Amelia, and Liam. Mason said that if (Amelia is a villain) then (Charlotte is a villain if and only if Mason is a hero). So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 7229} |
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: Lucas, Amelia, Mia, Alexander, and James. Lucas stated, \"it is not the case that (Amelia is an angel or Alexander is a devil)\". As Amelia put it, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->\", ... | {"split": "train", "index": 7230} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Olivia, Penelope, Victoria, William, and Alexander. According to Olivia, \"if (Victoria is a pioneer or Penelope is a laggard) then (Penelope i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]],... | {"split": "train", "index": 7231} |
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, Sebastian, Elizabeth, Oliver, and Ethan. Grace asserted: \"(Grace is a hero or Oliver is a hero) if and only if (Elizabeth is a hero or Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 7232} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Benjamin, Sofia, Mia, Harper, and Sophia. \"Harper is a fool,\" Benjamin declared. Sofia commented, \"(Benjamin is a sage and Harper is a sage) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"n... | {"split": "train", "index": 7233} |
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: Evelyn, Luke, Isabella, Victoria, and Logan. \"Luke is a knight or Isabella is a knave\" - Evelyn. \"it is not the case that (Evelyn is a knight if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 566, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 7234} |
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: Luke, Jackson, Lucas, Victoria, and Henry. In Luke's words: \"if (if Lucas is a saint then Jackson is a sinner) then (Lucas is a sinner)\". Jackson n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 567, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"... | {"split": "train", "index": 7235} |
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: Aria, Michael, Evelyn, Mia, and Scarlett. In a statement by Aria: \"(Scarlett is a sinner or Evelyn is a saint) or (Aria is a saint and Evelyn is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 568, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 2], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], ... | {"split": "train", "index": 7236} |
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, Oliver, Sophia, Grace, and Daniel. In Samuel's words: \"(Sophia is a villain or Daniel is a hero) and (Daniel is a villain or Daniel is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 569, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 2], [\"or\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], ... | {"split": "train", "index": 7237} |
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, Aria, Avery, Sophia, and Alexander. Sebastian was heard saying, \"(Sophia is a hero or Aria is a villain) or (Aria is a villain and Alexan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 570, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 3]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>... | {"split": "train", "index": 7238} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aurora, James, Michael, Jacob, and Emma. \"James is a pioneer,\" Aurora mentioned. As James put it, \"(Jacob is a laggard) and Aurora is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 571, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"lying\", 1], [\"and\", [\"lying\", 4... | {"split": "train", "index": 7239} |
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, Benjamin, Joseph, Alexander, and Ethan. Isabella expressed that it is not the case that (Ethan is a devil and Joseph is an angel). Benjamin n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 572, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"<=>\", [\... | {"split": "train", "index": 7240} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Jacob, Samuel, Matthew, and Ethan. \"if (Matthew is a knight) then (Ethan is a knave or Ethan is a knight),\" William claimed. As Jacob put ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 573, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]]... | {"split": "train", "index": 7241} |
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: Jacob, Penelope, Jackson, Jack, and Victoria. \"(Victoria is a pioneer or Victoria is a laggard) or (Jacob is a pioneer or Penelope is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 574, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 4], [\"or\", ... | {"split": "train", "index": 7242} |
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, Jacob, Sebastian, Aiden, and Mia. Ava was heard saying, \"Mia is a pioneer\". As Jacob put it, \"(Aiden is a laggard if and only if Mia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 575, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 7243} |
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, Samuel, Sofia, Oliver, and Amelia. \"(Samuel is an egoist or Samuel is an altruist) if and only if (Amelia is an altruist),\" Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 576, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\... | {"split": "train", "index": 7244} |
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, Ava, Owen, Abigail, and Sofia. Elizabeth stated, \"(Ava is a devil) or (Elizabeth is an angel if and only if Owen is a devil)\". According t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 577, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"... | {"split": "train", "index": 7245} |
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: Sophia, Sebastian, Benjamin, Chloe, and Logan. As Sophia put it, \"(Benjamin is a saint and Sophia is a saint) or (Sophia is a saint if and only if C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 578, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-tr... | {"split": "train", "index": 7246} |
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: Henry, Sofia, Scarlett, William, and Victoria. Henry was heard saying, \"(if William is a laggard then Sofia is a pioneer) or (Henry is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 579, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\",... | {"split": "train", "index": 7247} |
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, Elizabeth, Daniel, Evelyn, and Aria. Emma said, \"Evelyn is a pioneer.\" Elizabeth was heard saying, \"(Daniel is a pioneer) or Daniel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 580, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 2]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-tru... | {"split": "train", "index": 7248} |
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, Liam, Luke, Ella, and Oliver. In Chloe's words: \"(Oliver is a pioneer) and (Luke is a laggard if and only if Oliver is a pioneer)\". Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 581, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"telling-... | {"split": "train", "index": 7249} |
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: Jackson, Scarlett, Emma, Lily, and Sophia. Jackson told you that (Lily is a sage or Emma is a sage) if and only if (Sophia is a fool if and only if Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 582, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"not\", [\"lying\", 3]], [\"... | {"split": "train", "index": 7250} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Jackson, Evelyn, Avery, and Olivia. Oliver expressed that (Olivia is a knight) or Olivia is a knight. \"(if Oliver is a knave then Evelyn is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 583, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", ... | {"split": "train", "index": 7251} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Oliver, Aurora, Grace, and Elizabeth. Michael told you that (Grace is a saint and Oliver is a saint) if and only if (Oliver is a saint). Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 584, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\... | {"split": "train", "index": 7252} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Aria, Ava, Charlotte, and Joseph. \"Ava is a sage,\" Isabella declared. Aria stated, \"Joseph is a fool\". In Ava's words: \"(Ava is a sage and C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 585, \"statements\": [[\"telling-truth\", 2], [\"lying\", 4], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"telling-truth\", 1], [\"and\", [\"and\", [\"tellin... | {"split": "train", "index": 7253} |
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: Luke, Mia, David, Zoey, and Mason. Luke commented, \"(David is a sinner or Mason is a saint) or (Zoey is a saint)\". Mia noted, \"David is a sinner\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 586, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\", [\"lying\", 0]], [\"or\", [\"... | {"split": "train", "index": 7254} |
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, Ethan, Jackson, Sophia, and Jack. \"(Sophia is a sage) or (Sophia is a fool if and only if Charlotte is a sage),\" Charlotte declared. Ethan exp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 587, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"n... | {"split": "train", "index": 7255} |
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, Joseph, Lily, Emily, and Aria. In Emma's words: \"if (Lily is a fool and Aria is a fool) then Joseph is a sage\". Joseph commented, \"if (Aria is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"lying\", 4], [\"->\", [\"or\", [\"ly... | {"split": "train", "index": 7256} |
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, David, Lily, Grace, and Zoey. Charlotte said, \"(David is an altruist) if and only if (if David is an egoist then Lily is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\... | {"split": "train", "index": 7257} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Aurora, Olivia, Charlotte, and Sofia. Benjamin told you that (Sofia is a villain if and only if Sofia is a hero) if and only if (Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 7258} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Lucas, Sophia, Ava, and Oliver. Emily told you that (if Ava is a sage then Sophia is a fool) or Lucas is a sage. \"(if Ava is a fool then Lucas is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [... | {"split": "train", "index": 7259} |
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, Harper, William, and Amelia. As Emily put it, \"Emily is an angel or (Jacob is an angel or Harper is a devil)\". Jacob remarked, \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\... | {"split": "train", "index": 7260} |
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, David, Grace, Sebastian, and Henry. \"(Grace is a villain and Sebastian is a hero) if and only if (David is a villain and Henry is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]... | {"split": "train", "index": 7261} |
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, Henry, Emma, Mason, and Sophia. As Lucas put it, \"Emma is an altruist if and only if (Sophia is an altruist and Henry is an altruist)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"-... | {"split": "train", "index": 7262} |
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, Chloe, Michael, Liam, and Jackson. Lucas was heard saying, \"(if Lucas is a saint then Michael is a sinner) and (Jackson is a saint or Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 7263} |
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, Elizabeth, Owen, Sophia, and Oliver. \"(Elizabeth is a devil or Owen is a devil) and (Owen is a devil or Elizabeth is a devil)\" - Harper. In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"and\", [\"or\... | {"split": "train", "index": 7264} |
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, Zoey, Aurora, Amelia, and Abigail. Samuel told you that Aurora is a villain. In Zoey's words: \"(Samuel is a villain) if and only if (if Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 7265} |
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, Benjamin, Mia, Noah, and Michael. Jackson asserted: \"(if Jackson is a pioneer then Mia is a pioneer) and (Jackson is a pioneer or Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying... | {"split": "train", "index": 7266} |
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: Matthew, Sebastian, Emma, Victoria, and Grace. \"(if Grace is an egoist then Sebastian is an altruist) if and only if Sebastian is an altruist,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"tell... | {"split": "train", "index": 7267} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Scarlett, Olivia, Sophia, Elizabeth, and Victoria. Scarlett stated, \"(if Sophia is an egoist then Victoria is an egoist) if and only if (Eliza... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], ... | {"split": "train", "index": 7268} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Ella, Abigail, Emma, and Noah. Chloe said that Noah is a sage. According to Ella, \"Noah is a sage\". Abigail asserted: \"(Chloe is a sage if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\... | {"split": "train", "index": 7269} |
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, Olivia, Emily, Chloe, and Oliver. \"Chloe is a hero or (Olivia is a villain if and only if Alexander is a hero),\" Alexander mentioned. In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\"... | {"split": "train", "index": 7270} |
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: Olivia, David, Benjamin, Sophia, and Sebastian. In a statement by Olivia: \"(David is a knight or Olivia is a knight) if and only if (if Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [... | {"split": "train", "index": 7271} |
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: Aria, Luke, Emily, Isabella, and Alexander. \"(if Emily is an angel then Luke is an angel) and (Luke is an angel and Luke is a devil),\" Aria declared.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 3... | {"split": "train", "index": 7272} |
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, Jacob, Lily, Charlotte, and Ethan. Scarlett stated, \"it is not the case that (Ethan is a saint if and only if Charlotte is a saint)\". \"E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-t... | {"split": "train", "index": 7273} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, James, Evelyn, Daniel, and Lucas. Riley remarked, \"Lucas is a devil\". James asserted: \"(Riley is a devil) and (Lucas is an angel if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"lying\", 0]... | {"split": "train", "index": 7274} |
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, Isabella, Olivia, Sebastian, and Victoria. Aiden said, \"(Isabella is a knave or Olivia is a knave) if and only if (if Isabella is a knave the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"and\", [\... | {"split": "train", "index": 7275} |
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: Luke, Ethan, Chloe, Sebastian, and Grace. Luke said, \"it is not the case that (Grace is a sage and Grace is a fool).\" Ethan expressed that Luke is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 0], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-tr... | {"split": "train", "index": 7276} |
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: Grace, Abigail, Liam, Evelyn, and Alexander. \"(Grace is a laggard) if and only if (if Grace is a pioneer then Liam is a laggard),\" Grace decl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 4]], [\"<=>\", [\"lying\", 3... | {"split": "train", "index": 7277} |
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, Amelia, Lily, Daniel, and Oliver. Isabella remarked, \"Daniel is an altruist\". Amelia said, \"Daniel is an altruist and (if Daniel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 4], [\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"telling-tr... | {"split": "train", "index": 7278} |
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, Emma, Noah, Luke, and Henry. According to Zoey, \"Noah is a sage\". \"it is not the case that (Luke is a sage if and only if Noah is a fool),\" Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 7279} |
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, James, Ethan, Michael, and Logan. In a statement by Matthew: \"if (Michael is a hero and Ethan is a villain) then (if Michael is a villain t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"lying\", ... | {"split": "train", "index": 7280} |
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: Jacob, Penelope, Grace, Scarlett, and Sophia. \"(Sophia is a laggard if and only if Scarlett is a laggard) and (Sophia is a laggard)\" - Jacob.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"... | {"split": "train", "index": 7281} |
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, Charlotte, Elizabeth, Ethan, and Victoria. Riley stated, \"(Charlotte is a pioneer or Ethan is a laggard) or (Victoria is a laggard and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 7282} |
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, Henry, William, Evelyn, and James. Michael stated, \"it is not the case that (if James is an altruist then William is an egoist)\". He... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"lying\", 4]], [\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 7283} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lucas, Jacob, Henry, Abigail, and Ava. Lucas said that (Jacob is a hero) and (Ava is a villain). Jacob was heard saying, \"Jacob is a hero if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 7284} |
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: Sofia, Amelia, James, Daniel, and Jackson. Sofia noted, \"if (Daniel is a fool) then (Daniel is a fool or Amelia is a fool)\". According to Amelia, \"if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lyi... | {"split": "train", "index": 7285} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Ava, Benjamin, Grace, and Jacob. Jack was heard saying, \"(Ava is a sinner if and only if Jacob is a saint) if and only if (Grace is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1... | {"split": "train", "index": 7286} |
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: Joseph, Lily, Ava, Emily, and Victoria. Joseph said, \"Emily is a fool.\" Lily expressed that it is not the case that (if Ava is a sage then Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"not\", [\"lying... | {"split": "train", "index": 7287} |
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, Isabella, Jacob, Liam, and Chloe. \"(William is a pioneer if and only if Liam is a pioneer) or (if Chloe is a pioneer then Liam is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\", [\"->\... | {"split": "train", "index": 7288} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ava, Evelyn, Emma, Matthew, and Michael. Ava expressed that (Emma is a saint or Matthew is a saint) and (Matthew is a saint). \"Ava is a sinner or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"or\", [\"lying\", 0], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-tr... | {"split": "train", "index": 7289} |
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: Logan, Ava, James, Emily, and Sofia. \"(Ava is a pioneer if and only if Emily is a laggard) and (Emily is a laggard if and only if James is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 622, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 7290} |
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: Lily, Elizabeth, Evelyn, Lucas, and Olivia. \"(Evelyn is a devil) if and only if Lucas is an angel,\" Lily mentioned. Elizabeth remarked, \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"telli... | {"split": "train", "index": 7291} |
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: Lily, Sebastian, Ava, Jacob, and Daniel. As Lily put it, \"if (Sebastian is an angel or Daniel is an angel) then (Ava is a devil if and only if Jacob i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"telli... | {"split": "train", "index": 7292} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Noah, Sophia, Chloe, and Penelope. In Grace's words: \"(Grace is a saint or Noah is a sinner) and (if Noah is a sinner then Penelope is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 7293} |
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: Emily, Alexander, Lucas, Aria, and Amelia. In a statement by Emily: \"if (Lucas is a sinner if and only if Aria is a saint) then Aria is a sinner\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 626, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 3]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 4], ... | {"split": "train", "index": 7294} |
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: Aria, Isabella, Emma, Henry, and Matthew. Aria remarked, \"(if Aria is an angel then Henry is a devil) if and only if (if Matthew is an angel then Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 627, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], ... | {"split": "train", "index": 7295} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, James, Amelia, Chloe, and Victoria. Elizabeth stated, \"James is a fool or (James is a fool or James is a sage)\". \"(Chloe is a sage or James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 628, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"tel... | {"split": "train", "index": 7296} |
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: Jackson, Matthew, Noah, Benjamin, and Lily. Jackson expressed that (Matthew is a sinner) if and only if Matthew is a saint. Matthew was heard saying,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 629, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-tru... | {"split": "train", "index": 7297} |
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, Sophia, Jack, David, and Oliver. Scarlett remarked, \"Sophia is a saint\". Sophia said that (Scarlett is a sinner or Oliver is a saint) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 630, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3]], ... | {"split": "train", "index": 7298} |
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, Sebastian, Riley, Olivia, and Aria. Penelope told you that Olivia is a sinner. In a statement by Sebastian: \"if Sebastian is a saint then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 631, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"telli... | {"split": "train", "index": 7299} |
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