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 knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Emma, Sebastian, Benjamin, and Lily. \"(Benjamin is a knight) if and only if (if Emma is a knight then Benjamin is a knight)\" - Evelyn. Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"lying\", ... | {"split": "train", "index": 10400} |
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, Amelia, Isabella, Zoey, and Lily. As Benjamin put it, \"(Zoey is a hero or Zoey is a villain or Amelia is a hero) if and only if (Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\"... | {"split": "train", "index": 10401} |
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: Jacob, Jack, Isabella, Liam, and Amelia. Jacob asserted: \"(Jack is a devil if and only if Jack is an angel) or (Isabella is a devil or Jack is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]... | {"split": "train", "index": 10402} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Benjamin, Charlotte, Aurora, and Grace. \"if (if William is a hero then Charlotte is a hero) then (if Benjamin is a hero then Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"ly... | {"split": "train", "index": 10403} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Elizabeth, Mason, Abigail, and Lily. As Zoey put it, \"if (Mason is a devil or Elizabeth is a devil) then (Elizabeth is a devil if and only if Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]... | {"split": "train", "index": 10404} |
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, Harper, Aurora, Owen, and Alexander. In Henry's words: \"it is not the case that (Aurora is a villain or Alexander is a villain)\". Harper rem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"lying\", 1], [\"and\", [\"<=>\", [\"t... | {"split": "train", "index": 10405} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, Chloe, Zoey, Penelope, and Joseph. \"Penelope is an egoist,\" Logan mentioned. In Chloe's words: \"it is not the case that (Joseph is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"lying\", 3], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"lyin... | {"split": "train", "index": 10406} |
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, Lucas, James, Grace, and Sebastian. Olivia noted, \"it is not the case that (if Grace is a knight then James is a knave)\". Lucas said that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"lying\", 3], [\"l... | {"split": "train", "index": 10407} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Ella, Ethan, Ava, and Olivia. Joseph said that Ava is a hero. Ella noted, \"(Joseph is a villain) and (Ella is a villain) and (Olivia is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 10408} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Victoria, William, Samuel, and Isabella. Amelia stated, \"it is not the case that (William is a sage and Victoria is a sage and William is a fool)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"->... | {"split": "train", "index": 10409} |
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, Ava, Elizabeth, Joseph, and Amelia. Isabella commented, \"Joseph is a devil\". Ava expressed that if (Isabella is an angel if and only if Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 10410} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ella, Elizabeth, Jack, Sofia, and Matthew. As Ella put it, \"(Elizabeth is a hero and Ella is a hero and Sofia is a villain) if and only if Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 1]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-trut... | {"split": "train", "index": 10411} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sophia, Ella, David, William, and Avery. Sophia expressed that David is an angel if and only if (David is an angel if and only if William is a devil). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [... | {"split": "train", "index": 10412} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Henry, Logan, Abigail, Ella, and Lucas. As Henry put it, \"(if Lucas is a saint then Logan is a sinner) or (Ella is a sinner) or (Lucas is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 3],... | {"split": "train", "index": 10413} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Luke, Owen, Lucas, Daniel, and Isabella. In a statement by Luke: \"Isabella is an angel\". Owen noted, \"(Daniel is a devil) if and only if (Owen is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 4... | {"split": "train", "index": 10414} |
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: Benjamin, Elizabeth, Penelope, Logan, and Riley. \"if (if Elizabeth is a saint then Logan is a sinner) then (Logan is a saint or Penelope is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 10415} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Jack, Scarlett, Sebastian, and Oliver. Avery said that (if Scarlett is a sinner then Oliver is a saint) and Oliver is a sinner. Jack noted, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 0]]], ... | {"split": "train", "index": 10416} |
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: Charlotte, Penelope, Samuel, Emily, and Zoey. Charlotte was heard saying, \"if (Zoey is a knight and Samuel is a knave and Emily is a knight) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\",... | {"split": "train", "index": 10417} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Benjamin, Owen, Michael, Lily, and Isabella. Benjamin said, \"(Lily is an altruist if and only if Lily is an egoist) or (Isabella is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 2]], [\"n... | {"split": "train", "index": 10418} |
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: David, Aria, Riley, Sebastian, and Matthew. In David's words: \"(Riley is a knight) if and only if (if Riley is a knight then Aria is a knight)\". Ac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-t... | {"split": "train", "index": 10419} |
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, Harper, Jackson, Mason, and Amelia. According to Sofia, \"Amelia is a knave or (Mason is a knight or Harper is a knight or Sofia is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\"... | {"split": "train", "index": 10420} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, Aurora, Amelia, Jacob, and Penelope. Isabella told you that (Penelope is a saint or Penelope is a sinner) and (if Penelope is a sinner then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 10421} |
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: Jacob, Matthew, Logan, Sebastian, and Elizabeth. Jacob said, \"(Sebastian is a saint if and only if Elizabeth is a saint) and (Matthew is a sinner if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"lying\", 2], [\"lying\", 0], [\"not\", [\"no... | {"split": "train", "index": 10422} |
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, Jack, Chloe, Charlotte, and Riley. \"if Jack is a knave then Riley is a knave,\" Grace claimed. According to Jack, \"it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"->\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\... | {"split": "train", "index": 10423} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Victoria, Olivia, Scarlett, and Luke. \"if (Scarlett is a villain) then (Olivia is a villain),\" Amelia declared. In Victoria's words: \"Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"tel... | {"split": "train", "index": 10424} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Aiden, Elizabeth, Lucas, and Scarlett. Sebastian was heard saying, \"(Aiden is an angel or Aiden is a devil or Elizabeth is an angel) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 0], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"telli... | {"split": "train", "index": 10425} |
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: Olivia, Chloe, David, Abigail, and Benjamin. Olivia told you that David is a hero and (David is a villain or Benjamin is a hero or Chloe is a hero). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"lying\... | {"split": "train", "index": 10426} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Jackson, Harper, Lily, and Owen. Oliver said, \"Oliver is a sage or (Harper is a sage or Oliver is a sage or Harper is a fool).\" \"if (if Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\"... | {"split": "train", "index": 10427} |
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: David, Avery, Mia, Grace, and Ava. David expressed that Grace is a sage. Avery asserted: \"(David is a fool and Grace is a fool) or (if Grace is a fool the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"lying\", 1], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [... | {"split": "train", "index": 10428} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Charlotte, David, Ethan, and Harper. Evelyn said that if (Ethan is a hero if and only if David is a hero) then (Ethan is a hero or Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 4]]], [\"lying\", 4], [\"<=>\", [\"and\", [\"lying\", 0], [\"telli... | {"split": "train", "index": 10429} |
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: Penelope, Ethan, Amelia, Joseph, and Sophia. Penelope remarked, \"Sophia is a hero\". Ethan told you that it is not the case that (if Penelope is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 0]], [\"not\",... | {"split": "train", "index": 10430} |
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: Amelia, Sofia, Mason, James, and Penelope. \"Mason is a knight,\" Amelia declared. Sofia remarked, \"(Penelope is a knight or Mason is a knight or So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 10431} |
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, Aurora, Elizabeth, Mia, and Jacob. Harper commented, \"it is not the case that (Jacob is a villain and Aurora is a hero and Harper is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"or\", [\"telling-trut... | {"split": "train", "index": 10432} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Scarlett, Riley, Joseph, and Luke. Evelyn remarked, \"if Scarlett is a villain then (Joseph is a villain)\". Scarlett expressed that if (if S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"lying\", 0]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\... | {"split": "train", "index": 10433} |
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, William, Sofia, Evelyn, and Sophia. Aria expressed that if (Evelyn is a knight) then (William is a knave). \"(Aria is a knave) or Sophia is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\"... | {"split": "train", "index": 10434} |
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, Charlotte, Victoria, Jacob, and Sebastian. \"(if Victoria is a fool then Jacob is a sage) or (Victoria is a sage)\" - Elizabeth. Charlotte comme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\... | {"split": "train", "index": 10435} |
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, Aria, Oliver, Grace, and Charlotte. Luke was heard saying, \"(Grace is a pioneer and Luke is a pioneer) and (Grace is a laggard)\". Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 0], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4... | {"split": "train", "index": 10436} |
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, Michael, William, Noah, and Aurora. Harper was heard saying, \"(William is a knight and Aurora is a knave and Harper is a knight) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4],... | {"split": "train", "index": 10437} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Aiden, Emily, Mason, and Victoria. \"Emily is a knight and (Victoria is a knight and Aiden is a knave and Mason is a knave),\" Aurora mention... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 10438} |
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, Sophia, Joseph, Alexander, and Luke. William said, \"(William is a pioneer and Joseph is a pioneer) if and only if (Luke is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 10439} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Aria, Benjamin, Oliver, and Alexander. Amelia told you that if (Alexander is an angel and Benjamin is a devil) then (if Aria is a devil then Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 10440} |
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: Charlotte, Evelyn, Ella, Abigail, and Daniel. In Charlotte's words: \"(Evelyn is a devil and Ella is an angel) or Daniel is a devil\". \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 4]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 10441} |
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, Michael, Jack, Aiden, and Scarlett. Aurora stated, \"if (Jack is an egoist and Scarlett is an egoist) then (Scarlett is an altruist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"tel... | {"split": "train", "index": 10442} |
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: Logan, Evelyn, Riley, Noah, and Chloe. \"if Chloe is a knight then (Noah is a knave)\" - Logan. Evelyn told you that Riley is a knave. Riley said, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 2], [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"tell... | {"split": "train", "index": 10443} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ella, Noah, Chloe, Emily, and Daniel. Ella commented, \"it is not the case that (Ella is a hero or Emily is a villain or Daniel is a hero)\". Noah sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"lying\", 0... | {"split": "train", "index": 10444} |
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, Elizabeth, Joseph, Jack, and Aiden. Evelyn remarked, \"(Evelyn is a sage and Jack is a fool and Jack is a sage) or (Elizabeth is a sage)\". Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 10445} |
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, Logan, Grace, Zoey, and Joseph. Abigail commented, \"(Abigail is a hero and Zoey is a hero) or (if Joseph is a hero then Logan is a hero)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\... | {"split": "train", "index": 10446} |
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, Owen, Aiden, Noah, and Ella. \"Noah is a devil\" - Matthew. \"it is not the case that (Owen is an angel or Ella is a devil or Ella is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"lyin... | {"split": "train", "index": 10447} |
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, Harper, James, Matthew, and Samuel. As Grace put it, \"(Harper is a sage if and only if Matthew is a fool) or (Grace is a sage and Matthew is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"tellin... | {"split": "train", "index": 10448} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Owen, Jackson, Aria, and Lily. Oliver told you that Aria is an altruist. Owen was heard saying, \"(if Aria is an egoist then Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\... | {"split": "train", "index": 10449} |
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, Riley, Matthew, Luke, and Owen. Jackson remarked, \"it is not the case that (Matthew is an altruist if and only if Luke is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"lying\", 0],... | {"split": "train", "index": 10450} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Avery, Zoey, Evelyn, Emma, and Ava. Avery commented, \"if (Avery is an altruist or Evelyn is an egoist or Ava is an altruist) then Ava is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]],... | {"split": "train", "index": 10451} |
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, Sebastian, Ella, Emily, and William. As Riley put it, \"it is not the case that (if Ella is a sinner then William is a sinner)\". Sebastian to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"<=>\... | {"split": "train", "index": 10452} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Chloe, Emily, Ella, and Sophia. \"it is not the case that (Emily is a knave if and only if Emily is a knight),\" Jack declared. Chloe told you ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], ... | {"split": "train", "index": 10453} |
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, Jack, Alexander, Sophia, and Matthew. David expressed that (Jack is an angel and David is an angel and Alexander is an angel) or Sophia is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 3]], [\"lying\", 4], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"lying... | {"split": "train", "index": 10454} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Charlotte, Elizabeth, Henry, Scarlett, and Oliver. Charlotte remarked, \"(Henry is a villain if and only if Scarlett is a hero) if and only if (Olive... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 10455} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Harper, Aiden, Owen, and Joseph. \"Joseph is an angel,\" Amelia mentioned. According to Harper, \"(Joseph is a devil) or (Owen is a devil and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\"... | {"split": "train", "index": 10456} |
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, David, Harper, Chloe, and Penelope. \"(if Harper is a sinner then Penelope is a saint) or (if Chloe is a sinner then David is a saint),\" Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\... | {"split": "train", "index": 10457} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Scarlett, Sofia, David, and Ava. In a statement by Alexander: \"(Sofia is an altruist if and only if Ava is an altruist) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"ly... | {"split": "train", "index": 10458} |
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, Emily, James, Michael, and William. Grace said that it is not the case that (if William is a villain then Michael is a hero). \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-... | {"split": "train", "index": 10459} |
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, Daniel, Scarlett, Luke, and Joseph. \"Scarlett is a laggard,\" William declared. Daniel noted, \"(William is a laggard if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"lying\", 2], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-tr... | {"split": "train", "index": 10460} |
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, Jackson, Ethan, Aiden, and Matthew. Chloe expressed that it is not the case that (Matthew is a fool or Chloe is a sage). Jackson was heard saying, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]],... | {"split": "train", "index": 10461} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Isabella, Sofia, Matthew, and Luke. William stated, \"it is not the case that (Matthew is an angel and Sofia is a devil)\". Isabella remarked,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 10462} |
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, Elizabeth, Aurora, Isabella, and Abigail. Benjamin commented, \"it is not the case that (if Isabella is a knight then Aurora is a knave)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 10463} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Daniel, Oliver, Sofia, and Michael. Scarlett said, \"Scarlett is a pioneer or (Daniel is a laggard and Michael is a pioneer) or (Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], ... | {"split": "train", "index": 10464} |
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: Ella, James, William, Alexander, and Abigail. In Ella's words: \"it is not the case that (Alexander is a sage if and only if William is a sage)\". \"(Willi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"o... | {"split": "train", "index": 10465} |
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: Sophia, Olivia, Matthew, Mason, and Avery. Sophia said, \"(Matthew is a villain and Matthew is a hero) and (Matthew is a villain) and (Avery is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 0], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-t... | {"split": "train", "index": 10466} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ava, Matthew, Jacob, Michael, and Mason. According to Ava, \"Jacob is an egoist\". In Matthew's words: \"if (if Michael is an altruist then Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"lying\", 2], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 10467} |
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, Grace, Lucas, Zoey, and Matthew. Ava said that (Zoey is a hero and Grace is a villain and Lucas is a hero) and Matthew is a villain. \"if (Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 4]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 10468} |
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: Lucas, Sofia, Daniel, Jacob, and Riley. Lucas said, \"Sofia is a pioneer.\" Sofia remarked, \"(Daniel is a pioneer or Lucas is a pioneer or Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", ... | {"split": "train", "index": 10469} |
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: Sophia, Luke, William, Oliver, and Penelope. In Sophia's words: \"(William is a villain or Sophia is a hero or Oliver is a villain) if and only if (O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"o... | {"split": "train", "index": 10470} |
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, James, Henry, and Benjamin. William remarked, \"if (James is a pioneer and Henry is a pioneer and Benjamin is a laggard) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"lying\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], ... | {"split": "train", "index": 10471} |
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, Grace, Aurora, Jackson, and Owen. In Lucas's words: \"if (Lucas is a sinner) then (Grace is a saint)\". As Grace put it, \"Aurora is a saint\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"telling-truth\", 4]], [\"or\", [\"lying\", ... | {"split": "train", "index": 10472} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Oliver, Victoria, Benjamin, and Zoey. In Sebastian's words: \"if (Victoria is a devil if and only if Benjamin is an angel) then Victoria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 10473} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Aiden, David, Jackson, and Isabella. Sebastian was heard saying, \"(Isabella is an angel and David is a devil and Aiden is a devil) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]], [\"no... | {"split": "train", "index": 10474} |
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: Jacob, Mason, Scarlett, Lily, and Lucas. According to Jacob, \"(Mason is an angel and Lucas is a devil) and (Lily is a devil)\". Mason stated, \"Lily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 3]], [\"and\", [\"... | {"split": "train", "index": 10475} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ella, Evelyn, Riley, Amelia, and Mia. \"(Mia is a villain or Evelyn is a villain) and (Mia is a villain if and only if Mia is a hero) and (Mia is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 10476} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Scarlett, Oliver, Jacob, Sebastian, and Amelia. Scarlett asserted: \"(Scarlett is an angel and Amelia is an angel) or (Sebastian is a devil and Jacob i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 4], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]]... | {"split": "train", "index": 10477} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Grace, Sebastian, James, Joseph, and Harper. Grace told you that (James is an altruist and Sebastian is an egoist) and (if Harper is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1588, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"te... | {"split": "train", "index": 10478} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Jack, Samuel, Aiden, and Henry. According to Matthew, \"Jack is a saint\". In a statement by Jack: \"(if Aiden is a sinner then Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1589, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 0], [\"not\", ... | {"split": "train", "index": 10479} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Lucas, Matthew, William, and David. Sebastian asserted: \"(Lucas is a sage and William is a fool and David is a fool) and (if David is a sage th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1590, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"<=>\... | {"split": "train", "index": 10480} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, William, Riley, Luke, and David. Samuel commented, \"(William is a knight if and only if David is a knave) if and only if (Luke is a knave an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1591, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"lying\", 4]], [\"lying\", 0], [\"->\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 10481} |
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, Elizabeth, David, Oliver, and Mason. \"(Mason is a knave) and (Aiden is a knight or Elizabeth is a knave) and (Mason is a knight),\" Aiden cla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1592, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\",... | {"split": "train", "index": 10482} |
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: Mia, Charlotte, Ella, Michael, and James. Mia noted, \"(Charlotte is a knight) if and only if (if Ella is a knave then James is a knight)\". Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1593, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"lying\", 1], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 10483} |
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, Scarlett, Aurora, Elizabeth, and Zoey. Penelope commented, \"Elizabeth is a pioneer\". Scarlett said that (Elizabeth is a laggard) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1594, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [... | {"split": "train", "index": 10484} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Aurora, Evelyn, Oliver, and Olivia. Ella was heard saying, \"Oliver is a saint and Aurora is a sinner\". Aurora said, \"if (Oliver is a saint a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1595, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\... | {"split": "train", "index": 10485} |
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: Matthew, Chloe, Aurora, Lily, and Benjamin. \"(Chloe is a knave or Aurora is a knave) or (Benjamin is a knave) or (Aurora is a knave and Lily is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1596, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"te... | {"split": "train", "index": 10486} |
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, Aiden, Benjamin, Sebastian, and Scarlett. As Samuel put it, \"if (Sebastian is an egoist) then (Samuel is an altruist if and only if Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1597, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 10487} |
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: Charlotte, David, Victoria, Jack, and Henry. According to Charlotte, \"(if Victoria is an angel then Henry is a devil) if and only if (if David is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1598, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lyin... | {"split": "train", "index": 10488} |
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, Penelope, Amelia, Lily, and Sophia. In Elizabeth's words: \"(Penelope is a devil or Penelope is an angel) if and only if (Penelope is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1599, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"l... | {"split": "train", "index": 10489} |
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, Noah, Joseph, and Penelope. Jacob expressed that if (if Noah is an egoist then Joseph is an altruist) then (Olivia is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1600, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 1], ... | {"split": "train", "index": 10490} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aiden, Jackson, Joseph, Jack, and Emily. \"it is not the case that (Joseph is a villain if and only if Jack is a villain),\" Aiden mentioned. Accordi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1601, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 10491} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Lucas, Mia, James, and Sophia. \"if (Sophia is a knight or Sophia is a knave or James is a knave) then (if Sophia is a knave then Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1602, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\"... | {"split": "train", "index": 10492} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Logan, Luke, Aurora, Emily, and Elizabeth. According to Logan, \"Aurora is a hero\". In a statement by Luke: \"it is not the case that (Emily is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1603, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2... | {"split": "train", "index": 10493} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Elizabeth, Joseph, Isabella, Ethan, and Charlotte. According to Elizabeth, \"if (Charlotte is a laggard if and only if Joseph is a pioneer) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1604, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 10494} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Penelope, Isabella, Logan, and Aurora. As Victoria put it, \"(Logan is a laggard) and (Isabella is a laggard and Isabella is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1605, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\",... | {"split": "train", "index": 10495} |
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: Ava, Aria, Scarlett, Liam, and Harper. As Ava put it, \"(Aria is a knave) if and only if (Scarlett is a knight if and only if Harper is a knave)\". I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1606, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 10496} |
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, Liam, Aria, Harper, and James. \"(Liam is an angel or Aria is a devil) and (Liam is a devil or Harper is an angel),\" Elizabeth claimed. \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1607, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 0]], [\"not\", [\"ly... | {"split": "train", "index": 10497} |
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, James, Riley, Sofia, and Ella. \"(if Riley is a hero then Ella is a hero) if and only if (Riley is a hero or James is a villain or Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1608, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 0], [\"not\", [\"lying\", 2]]], [\"->\"... | {"split": "train", "index": 10498} |
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, Sofia, Emma, Henry, and Penelope. In Ethan's words: \"(Emma is an egoist and Ethan is an altruist and Henry is an altruist) or (Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1609, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 10499} |
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