data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Grace, Sofia, Daniel, and Emily. Jack remarked, \"((if Jack is a saint then Grace is a sinner) or (Jack is a saint if and only if Daniel is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 16500} |
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, Sebastian, Charlotte, Grace, and James. \"(Sebastian is a devil and (Sebastian is a devil)) and ((James is a devil or James is an angel or Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]... | {"split": "train", "index": 16501} |
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: Harper, Lily, Abigail, Alexander, and Jack. \"((Abigail is a fool or Alexander is a fool or Lily is a sage) or (Jack is a sage if and only if Alexander is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 4]], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"tell... | {"split": "train", "index": 16502} |
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: Daniel, Michael, Benjamin, David, and Owen. Daniel told you that Michael is a knight. Michael remarked, \"if ((Daniel is a knight) or (David is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], ... | {"split": "train", "index": 16503} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Jacob, Isabella, Chloe, and Oliver. Mason was heard saying, \"(it is not the case that (Isabella is a knave)) or ((Isabella is a knave) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 3], [\"lyin... | {"split": "train", "index": 16504} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Amelia, Noah, Mason, and Benjamin. \"it is not the case that (it is not the case that (Amelia is a devil)),\" Grace mentioned. Amelia expressed ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"->\", [\"telling... | {"split": "train", "index": 16505} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Abigail, Avery, William, Jacob, and James. In a statement by Abigail: \"(it is not the case that (William is a pioneer or Avery is a pioneer)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 0], [\"-... | {"split": "train", "index": 16506} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Jack, Daniel, Henry, and Sebastian. Chloe commented, \"if ((Henry is a knight and Daniel is a knave) if and only if (if Daniel is a knave then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"a... | {"split": "train", "index": 16507} |
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: Jackson, William, Alexander, James, and Abigail. \"(if (if Alexander is a knight then Alexander is a knave) then (if Alexander is a knave then Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"ly... | {"split": "train", "index": 16508} |
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: Olivia, Grace, Evelyn, Daniel, and David. Olivia commented, \"((David is a sage or Evelyn is a sage or Grace is a fool) or (Olivia is a fool)) and ((David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]]... | {"split": "train", "index": 16509} |
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, Evelyn, Sofia, Mason, and Penelope. As Harper put it, \"Evelyn is a devil\". In Evelyn's words: \"if Penelope is a devil then Sofia is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"lying\", 1], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 4]]]], [\"not\", [\"or\", [\"no... | {"split": "train", "index": 16510} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Ava, Daniel, Avery, and Aiden. Ethan was heard saying, \"((Avery is a pioneer) if and only if Ava is a laggard) and (Daniel is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"lying\", 1]]]], [\"lying\", 4], [\"and\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 16511} |
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: Michael, Avery, Zoey, Alexander, and Sofia. \"Zoey is a sage if and only if Alexander is a fool\" - Michael. Avery noted, \"Sofia is a sage\". Zoey said, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"... | {"split": "train", "index": 16512} |
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, Noah, Victoria, Oliver, and Penelope. Matthew stated, \"((Oliver is an egoist or Matthew is an altruist or Noah is an altruist) or Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 4]]]... | {"split": "train", "index": 16513} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Samuel, Riley, Oliver, and Jackson. \"(if (Riley is a knight if and only if Oliver is a knight) then (Samuel is a knave if and only if Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"lying\", 3]]], [\"lying\... | {"split": "train", "index": 16514} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Lucas, Charlotte, Sofia, and Alexander. \"Sofia is a fool,\" William claimed. In a statement by Lucas: \"William is a fool\". \"((William is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"lying\", 3], [\"lying\", 0], [\"or\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]... | {"split": "train", "index": 16515} |
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: Michael, Lucas, Aurora, Ethan, and Henry. Michael expressed that Lucas is an angel and ((if Lucas is a devil then Lucas is an angel) if and only if (Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-trut... | {"split": "train", "index": 16516} |
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, Lucas, Samuel, Jackson, and Grace. William was heard saying, \"it is not the case that (if (Lucas is a saint and Lucas is a sinner and Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"lying\", 2], [\"<=>\", [\"->\", [\"not\", [\"lying\", 3... | {"split": "train", "index": 16517} |
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: Mason, Emily, Abigail, Jacob, and Isabella. Mason was heard saying, \"if ((Abigail is a fool and Emily is a fool) and (Abigail is a fool if and only if Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 2]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-tru... | {"split": "train", "index": 16518} |
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, Victoria, James, Samuel, and Jackson. Grace noted, \"if (if (Grace is a sinner) then (Jackson is a sinner or James is a sinner or James is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1]],... | {"split": "train", "index": 16519} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Sophia, Michael, Jacob, and Amelia. As Chloe put it, \"it is not the case that (if (Jacob is a knave) then (Michael is a knave if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 4], [\"telling-truth\", 2], [\"not\", [\"<=... | {"split": "train", "index": 16520} |
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, Owen, Scarlett, Isabella, and Daniel. Henry said that (it is not the case that (Owen is a saint if and only if Isabella is a sinner)) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling... | {"split": "train", "index": 16521} |
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: Michael, Daniel, Riley, Sophia, and Ava. Michael stated, \"Ava is a sage\". Daniel commented, \"it is not the case that ((Riley is a fool or Ava is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]]], [\"or\", [\"<=... | {"split": "train", "index": 16522} |
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, Aria, William, Emily, and Victoria. Matthew noted, \"if ((Aria is a saint or William is a saint or Aria is a sinner) and (William is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"l... | {"split": "train", "index": 16523} |
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, Logan, Mia, James, and Emma. Ella noted, \"James is a sinner\". Logan said that (if (James is a saint or Ella is a saint or Mia is a saint) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telli... | {"split": "train", "index": 16524} |
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, Samuel, James, and Victoria. Emily remarked, \"((Victoria is a saint) and (Samuel is a sinner)) and (Samuel is a sinner and (Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"lying\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 4]], [\"not\", [\"or\", [\"telli... | {"split": "train", "index": 16525} |
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: Victoria, Elizabeth, Sofia, Isabella, and Sophia. Victoria said that ((Isabella is a sage if and only if Sofia is a fool) or Victoria is a sage) and ((if V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"l... | {"split": "train", "index": 16526} |
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, Mia, Amelia, Ella, and Avery. William told you that ((William is a hero if and only if Mia is a villain) and (Mia is a villain) and Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 16527} |
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: Michael, David, Joseph, Aiden, and William. \"((David is a sage) and William is a fool and (Michael is a fool)) and (it is not the case that (David is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 1]], [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 1],... | {"split": "train", "index": 16528} |
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: Penelope, Grace, Zoey, Aria, and Lily. Penelope remarked, \"(Aria is an egoist or (Grace is an altruist if and only if Aria is an egoist)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"not\", [\"lying... | {"split": "train", "index": 16529} |
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: Ethan, Olivia, Logan, Michael, and Jacob. Ethan asserted: \"if ((if Jacob is a saint then Olivia is a sinner) and Olivia is a saint) then ((Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"or... | {"split": "train", "index": 16530} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Aurora, Benjamin, Zoey, and Sophia. \"it is not the case that (if (Benjamin is a saint or Aurora is a saint) then (if Zoey is a saint then So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"telling-truth\", 0], [\"or\", [\"lying\", 1], [\"not\", [\"<=>\", [\"lyi... | {"split": "train", "index": 16531} |
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: Luke, Owen, Liam, Zoey, and Evelyn. Luke remarked, \"(it is not the case that (Owen is a villain if and only if Evelyn is a villain)) or Evelyn is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 4], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]... | {"split": "train", "index": 16532} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Henry, Ella, Evelyn, and Scarlett. Mia remarked, \"if (if (Mia is a sage and Henry is a sage) then (Mia is a sage and Evelyn is a fool and Scarlett is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], ... | {"split": "train", "index": 16533} |
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: Sophia, Riley, Charlotte, Abigail, and Noah. Sophia told you that if ((Riley is an egoist or Riley is an altruist) and (Abigail is an egoist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\",... | {"split": "train", "index": 16534} |
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: Ella, Isabella, Amelia, Matthew, and James. According to Ella, \"Matthew is an altruist\". Isabella noted, \"(if Amelia is an altruist then (Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [... | {"split": "train", "index": 16535} |
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: Luke, Elizabeth, Jackson, Jacob, and Liam. \"(Elizabeth is a hero and Jacob is a villain) if and only if (it is not the case that (if Jackson is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], ... | {"split": "train", "index": 16536} |
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, Noah, Aiden, Daniel, and Scarlett. In a statement by Isabella: \"((Noah is a saint if and only if Isabella is a saint) if and only if (Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-trut... | {"split": "train", "index": 16537} |
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, Mia, Emma, and Logan. Sofia told you that ((Lily is an altruist and Logan is an egoist and Mia is an egoist) or (Logan is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 2]], [\"lying\", 4], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 16538} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Noah, Sophia, James, and Emma. Zoey expressed that ((Sophia is a pioneer and Noah is a laggard) and (Sophia is a laggard or Noah is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"lyin... | {"split": "train", "index": 16539} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Emily, Aurora, Elizabeth, and Ella. Jacob stated, \"(it is not the case that (Emily is a hero)) or Ella is a hero or Aurora is a villain\". Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]]... | {"split": "train", "index": 16540} |
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: Aiden, Luke, Emma, Scarlett, and Sebastian. In a statement by Aiden: \"((Aiden is a sinner) and (Sebastian is a saint and Sebastian is a sinner)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"t... | {"split": "train", "index": 16541} |
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: Jackson, Oliver, Aria, Samuel, and Chloe. In a statement by Jackson: \"((Chloe is a hero if and only if Aria is a villain) if and only if Oliver is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 1]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"and\", [\... | {"split": "train", "index": 16542} |
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: Joseph, James, Henry, Grace, and Isabella. \"((Joseph is a pioneer and Isabella is a pioneer and Henry is a laggard) and (if Grace is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 16543} |
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, Aiden, Charlotte, Ella, and Jackson. Ava noted, \"if (it is not the case that (Aiden is a villain and Ella is a hero)) then ((if Jackson is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"lying\", 4]... | {"split": "train", "index": 16544} |
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: Mason, Sofia, Grace, Jackson, and Luke. In Mason's words: \"Grace is a fool\". \"if (if (Mason is a fool if and only if Sofia is a sage) then (Luke is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"lying\", 2], [\"->\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\",... | {"split": "train", "index": 16545} |
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: Jack, Mason, Ethan, Owen, and Abigail. \"it is not the case that (it is not the case that (if Abigail is a fool then Jack is a sage)),\" Jack declared. Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"lying\", 0], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"not\", [\"lying\", 1]], [\"and\",... | {"split": "train", "index": 16546} |
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: Lily, Aria, Mason, Amelia, and Lucas. \"((Amelia is a knave or Mason is a knight or Lucas is a knight) if and only if (Amelia is a knave)) and ((Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"... | {"split": "train", "index": 16547} |
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, Emily, Zoey, Alexander, and Sebastian. Jacob told you that Alexander is a devil or (if (Zoey is a devil) then Alexander is a devil) or (Sebastia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"or\", [\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [... | {"split": "train", "index": 16548} |
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, Oliver, Liam, Ava, and Evelyn. \"Evelyn is an altruist or Liam is an egoist or ((Liam is an altruist) or Evelyn is an egoist or Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 16549} |
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, Logan, Sofia, Luke, and Chloe. \"Sofia is a villain if and only if Logan is a villain,\" Mason declared. \"Luke is a villain if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0... | {"split": "train", "index": 16550} |
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, Matthew, Noah, David, and Avery. Scarlett stated, \"Matthew is an egoist\". Matthew was heard saying, \"((David is an altruist and Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"te... | {"split": "train", "index": 16551} |
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: Aiden, James, Aurora, Scarlett, and Sofia. \"(if (Sofia is a fool) then (Aurora is a sage if and only if Aurora is a fool)) if and only if (it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"not\"... | {"split": "train", "index": 16552} |
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, Liam, Riley, Penelope, and Henry. In Jack's words: \"if (Penelope is a saint if and only if (Penelope is a saint or Liam is a sinner)) then ((P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"or\", [\... | {"split": "train", "index": 16553} |
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: Noah, Luke, Daniel, Emma, and Avery. In a statement by Noah: \"it is not the case that (if (Noah is a laggard) then (Luke is a pioneer))\". Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"telling-truth\", 3],... | {"split": "train", "index": 16554} |
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, Ava, Victoria, Sophia, and Chloe. Michael remarked, \"if Sophia is a saint then ((Victoria is a saint) if and only if (Sophia is a saint or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 16555} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Owen, Emily, Jack, Joseph, and Luke. \"Jack is an egoist,\" Owen mentioned. As Emily put it, \"(if (Owen is an egoist and Jack is an altruist a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"lying\", 2], [\"or\", [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 3], ... | {"split": "train", "index": 16556} |
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, Mia, Oliver, Mason, and Alexander. In a statement by Lily: \"(it is not the case that (Lily is an altruist if and only if Oliver is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 16557} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Charlotte, Alexander, Ella, and Benjamin. According to Ethan, \"Benjamin is a knave\". Charlotte was heard saying, \"(if (if Ella is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]... | {"split": "train", "index": 16558} |
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, Charlotte, David, Ethan, and Emily. In a statement by Aiden: \"Emily is a knave\". Charlotte stated, \"Ethan is a knave or ((Aiden is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"lying\", 4], [\"or\", [\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"<=>\", [\"<=>\", [\"... | {"split": "train", "index": 16559} |
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, David, Riley, Matthew, and Henry. \"if (it is not the case that (David is a knight or Matthew is a knave or Matthew is a knight)) then ((if Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 16560} |
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, Emma, Luke, Elizabeth, and Mason. Scarlett said, \"Elizabeth is an angel.\" Emma said that (Mason is an angel if and only if (Elizabeth is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 16561} |
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, Sofia, Ava, Aiden, and Jack. Aurora expressed that if (it is not the case that (Sofia is an altruist)) then ((Sofia is an altruist) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\", 4]]], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"t... | {"split": "train", "index": 16562} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, James, Jacob, Riley, and William. \"it is not the case that ((William is an angel) if and only if (Jacob is an angel or James is a devil)),\" So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 2]... | {"split": "train", "index": 16563} |
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: Joseph, Jackson, Henry, Samuel, and Owen. \"((Jackson is a saint and Henry is a sinner and Henry is a saint) or (Owen is a sinner) or Henry is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"lying\", 2]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 16564} |
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, Ethan, Sophia, Olivia, and Logan. Samuel said that Sophia is a knave. Ethan asserted: \"if Sophia is a knave then (it is not the case that (O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"lying\", 2], [\"->\", [\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"telling-truth\", 4], [\"lying\", 1], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 16565} |
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: Luke, Lucas, Jacob, Joseph, and Riley. \"if ((Jacob is an altruist if and only if Joseph is an egoist) and (Lucas is an egoist if and only if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], ... | {"split": "train", "index": 16566} |
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: Elizabeth, Jacob, David, Isabella, and Jackson. Elizabeth said that if (if Isabella is an egoist then (Jacob is an egoist and Elizabeth is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [... | {"split": "train", "index": 16567} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Aiden, James, Liam, and Samuel. According to Sofia, \"if (if James is a sinner then (Aiden is a saint if and only if Aiden is a sinner)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 16568} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Owen, Samuel, Avery, Logan, and Emma. \"Logan is an altruist\" - Owen. \"if Avery is an egoist then Avery is an altruist,\" Samuel claimed. In ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]... | {"split": "train", "index": 16569} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Michael, Olivia, Scarlett, and Avery. Chloe commented, \"Olivia is a knight if and only if (if (Olivia is a knave or Michael is a knave or Mic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"telling-truth\", 2],... | {"split": "train", "index": 16570} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Chloe, Aria, Daniel, and Lily. As Samuel put it, \"if (it is not the case that (Daniel is a sinner)) then ((Chloe is a saint) and (Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\",... | {"split": "train", "index": 16571} |
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, Sofia, Ava, Noah, and Alexander. \"((Alexander is a laggard if and only if Noah is a laggard) and (if Alexander is a pioneer then Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"<=>\", ... | {"split": "train", "index": 16572} |
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, Avery, William, Lily, and Riley. In Sophia's words: \"Lily is a villain\". In a statement by Avery: \"if (it is not the case that (William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"t... | {"split": "train", "index": 16573} |
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, Zoey, Aria, Matthew, and Abigail. In a statement by Harper: \"((Matthew is a knave or Aria is a knave or Harper is a knight) or (if Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telli... | {"split": "train", "index": 16574} |
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: Alexander, Liam, Aria, Chloe, and Ethan. \"it is not the case that ((Liam is a sage) if and only if (Chloe is a fool)),\" Alexander claimed. In Liam's word... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 16575} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Scarlett, Owen, Penelope, and Sebastian. \"if ((Scarlett is a laggard or Scarlett is a pioneer) if and only if (Sebastian is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"or\", [\"tell... | {"split": "train", "index": 16576} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Penelope, Olivia, Jack, and Victoria. Chloe said that if ((Olivia is an egoist) and (Victoria is an altruist or Victoria is an egoist)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 3]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]... | {"split": "train", "index": 16577} |
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: Harper, Aurora, Emma, Olivia, and Evelyn. \"Aurora is an altruist or (if (Aurora is an altruist or Aurora is an egoist) then (Emma is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1022, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"tel... | {"split": "train", "index": 16578} |
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, Aria, Emily, and Sebastian. Isabella told you that if (if (if Sebastian is a villain then Emily is a hero) then (if Sebastian is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1023, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"tell... | {"split": "train", "index": 16579} |
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, Chloe, Aria, William, and Aiden. Penelope noted, \"Aria is a sinner\". Chloe was heard saying, \"Aiden is a saint\". \"(if (Aiden is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1024, \"statements\": [[\"lying\", 2], [\"not\", [\"lying\", 4]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 4],... | {"split": "train", "index": 16580} |
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, Benjamin, Olivia, Emma, and Noah. \"Noah is an angel,\" Luke mentioned. Benjamin said, \"Noah is a devil.\" \"Noah is an angel or ((if Luke is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1025, \"statements\": [[\"not\", [\"lying\", 4]], [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 16581} |
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, Noah, Emma, Oliver, and Grace. Lucas expressed that ((Lucas is a sage if and only if Noah is a fool) if and only if Lucas is a sage) or (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1026, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2]]]], [\"->\", [\"not\", [\... | {"split": "train", "index": 16582} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: James, Isabella, Riley, Noah, and Emma. \"((Emma is a sage and Noah is a sage) or (if Riley is a fool then Noah is a sage)) if and only if ((James is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1027, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\... | {"split": "train", "index": 16583} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, Jacob, James, Sophia, and Emma. \"James is a pioneer or Emma is a pioneer,\" Lily mentioned. \"(if (James is a laggard if and only if Emm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1028, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 16584} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, William, Alexander, Amelia, and David. Olivia said, \"it is not the case that (if (Alexander is an egoist or William is an egoist or Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1029, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [... | {"split": "train", "index": 16585} |
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, Aurora, Ella, Michael, and Sophia. William noted, \"it is not the case that ((Sophia is an angel if and only if Michael is an angel) and (Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1030, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [... | {"split": "train", "index": 16586} |
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, Zoey, Jackson, Emily, and Scarlett. \"if ((Scarlett is an altruist if and only if Emily is an altruist) or Zoey is an altruist) then (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1031, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying... | {"split": "train", "index": 16587} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, Logan, Scarlett, Ella, and Henry. Charlotte said that ((if Logan is a saint then Henry is a saint) or (Ella is a saint if and only if Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1032, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]... | {"split": "train", "index": 16588} |
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, Henry, Olivia, Daniel, and Luke. Grace noted, \"Daniel is an altruist\". \"Luke is an egoist and ((Grace is an egoist or Daniel is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1033, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [... | {"split": "train", "index": 16589} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Matthew, Aurora, Charlotte, and Aria. Sofia noted, \"(if (if Aurora is a devil then Aurora is an angel) then (if Charlotte is a devil then Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1034, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"not\", [\"lying\", 0]]]], [\"tellin... | {"split": "train", "index": 16590} |
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: Olivia, Ava, Logan, Aiden, and Aria. \"Aiden is a devil and Olivia is an angel,\" Olivia claimed. \"(it is not the case that (Aiden is an angel)) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1035, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 16591} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Ella, Lily, Oliver, and Matthew. Aria told you that ((Matthew is a hero and Oliver is a villain and Aria is a hero) and (Lily is a hero and Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1036, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]... | {"split": "train", "index": 16592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Oliver, Aurora, Chloe, and Noah. Penelope remarked, \"((Chloe is a knave and Aurora is a knave) or (Chloe is a knave or Chloe is a knight))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1037, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [... | {"split": "train", "index": 16593} |
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, Avery, Sofia, Owen, and Aria. In a statement by Logan: \"Owen is a fool and Sofia is a fool and ((Aria is a fool and Logan is a sage) and (if Aria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1038, \"statements\": [[\"and\", [\"lying\", 3], [\"lying\", 2], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"and\", [\"and\", [\"lying\", 2], [\"->\", [\"... | {"split": "train", "index": 16594} |
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, Riley, Jacob, William, and Penelope. Ava told you that (if (Jacob is a pioneer and Ava is a pioneer) then (William is a laggard or Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1039, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"l... | {"split": "train", "index": 16595} |
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, Liam, Jackson, Evelyn, and Harper. Luke commented, \"Harper is a pioneer and ((Luke is a pioneer and Harper is a pioneer) and Harper is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1040, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [... | {"split": "train", "index": 16596} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Luke, Michael, William, and Scarlett. Matthew asserted: \"Michael is a laggard\". Luke remarked, \"Michael is a laggard\". \"if Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1041, \"statements\": [[\"lying\", 2], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 16597} |
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: Luke, Henry, Benjamin, Harper, and Scarlett. \"((Henry is a villain or Scarlett is a hero) or Henry is a hero) if and only if (if (Henry is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1042, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 16598} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Amelia, Oliver, Alexander, and Jacob. Aria expressed that ((Jacob is an altruist) if and only if (Oliver is an egoist if and only if Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1043, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 16599} |
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