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: Lily, Olivia, Elizabeth, Aurora, and Oliver. Lily asserted: \"Olivia is a sinner\". \"if (if (Lily is a saint or Oliver is a saint) then (Aurora is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 1... | {"split": "train", "index": 16000} |
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, Avery, Charlotte, Sebastian, and Sophia. Benjamin was heard saying, \"Charlotte is a villain\". Avery asserted: \"if ((Benjamin is a hero) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"lying\", 2], [\"->\", [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 4]], [\"not\", [\"l... | {"split": "train", "index": 16001} |
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, Lily, Victoria, Aiden, and Harper. Luke was heard saying, \"Victoria is an altruist\". \"if (Aiden is an altruist if and only if (Harper ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 1]], [\"->\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 16002} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Matthew, Mason, Ella, and Amelia. Henry said that it is not the case that ((Mason is a pioneer) and (Matthew is a pioneer) and (Ella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"->\", [\"lying\... | {"split": "train", "index": 16003} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Emma, Zoey, Noah, and Chloe. Ava noted, \"Chloe is a devil and Emma is an angel\". As Emma put it, \"Zoey is a devil\". Zoey said that (if (Ava is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3],... | {"split": "train", "index": 16004} |
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, Aria, Grace, Riley, and Ethan. \"it is not the case that (it is not the case that (if Aria is a sage then Riley is a fool)),\" Sebastian declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 16005} |
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, Sophia, Victoria, Sebastian, and Sofia. Oliver expressed that ((if Sebastian is a sage then Sebastian is a fool) or Sebastian is a fool or (if Vict... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 3], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"telling-truth\", 0], [\"not\", [\"... | {"split": "train", "index": 16006} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Michael, Penelope, Aiden, and Henry. According to William, \"it is not the case that ((if Michael is a knave then Penelope is a knave) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"not\", [\"or\", [\"telling-truth\", 1],... | {"split": "train", "index": 16007} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Jack, Oliver, Logan, and Daniel. Henry said, \"((Logan is a fool and Logan is a sage and Daniel is a sage) and Oliver is a sage and (Daniel is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-trut... | {"split": "train", "index": 16008} |
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: Aurora, Sophia, David, Evelyn, and Jackson. Aurora said that David is an angel. Sophia said that ((if Evelyn is an angel then Jackson is a devil) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"or\", ... | {"split": "train", "index": 16009} |
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: Liam, Aiden, Grace, Zoey, and Ava. Liam was heard saying, \"((Ava is an egoist) if and only if (Zoey is an egoist)) or (it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [... | {"split": "train", "index": 16010} |
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, Noah, Lily, Lucas, and Daniel. \"((Matthew is a pioneer or Daniel is a pioneer or Lucas is a pioneer) and Lily is a pioneer) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"tell... | {"split": "train", "index": 16011} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Zoey, Sofia, Evelyn, and Jacob. Elizabeth commented, \"(it is not the case that (Zoey is a knight if and only if Evelyn is a knave)) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"or\", [\"or\", [\... | {"split": "train", "index": 16012} |
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, Lucas, Avery, Michael, and Harper. In Victoria's words: \"((Avery is a laggard) and (Avery is a laggard or Harper is a laggard)) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 16013} |
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: Oliver, Michael, Aurora, Abigail, and Jack. \"if Aurora is a villain then ((Aurora is a hero if and only if Michael is a hero) or Aurora is a hero),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"->\", [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], ... | {"split": "train", "index": 16014} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Samuel, Aurora, Mia, Sebastian, and Emma. Samuel remarked, \"((Samuel is an angel if and only if Aurora is a devil) and (if Aurora is a devil then Auro... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"o... | {"split": "train", "index": 16015} |
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: Sophia, Michael, Jack, Evelyn, and Henry. In Sophia's words: \"(if (if Michael is a pioneer then Jack is a laggard) then (if Evelyn is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 16016} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, Aria, Matthew, Harper, and William. Jack was heard saying, \"(Harper is a laggard or (Aria is a laggard and William is a pioneer)) or ((A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 16017} |
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: Emily, Henry, Charlotte, Sofia, and Oliver. According to Emily, \"(if Charlotte is a knight then (Sofia is a knight or Oliver is a knave or Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"->\",... | {"split": "train", "index": 16018} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Luke, Abigail, Ella, and Sebastian. According to Noah, \"if (Luke is a sinner) then Abigail is a sinner\". Luke stated, \"(it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 2]], [\"and\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 16019} |
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, Mia, Aria, Logan, and Emily. \"(it is not the case that (Sofia is a knight or Logan is a knave)) and ((Emily is a knave) if and only if (if Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"not\", [\"<=>\", [\"tel... | {"split": "train", "index": 16020} |
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: Emily, William, Aria, Chloe, and Owen. Emily said that it is not the case that (if (if Chloe is a laggard then Aria is a laggard) then (Aria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"... | {"split": "train", "index": 16021} |
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, Owen, Victoria, Mason, and Sophia. In Grace's words: \"it is not the case that ((Sophia is a villain or Owen is a hero) or (Victoria is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", ... | {"split": "train", "index": 16022} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Ava, Logan, Mason, and Samuel. As Jackson put it, \"(if (Samuel is a laggard or Logan is a pioneer or Ava is a laggard) then (Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]]... | {"split": "train", "index": 16023} |
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: Evelyn, Sofia, Elizabeth, Harper, and Abigail. Evelyn said, \"if ((Harper is a devil or Sofia is an angel or Evelyn is an angel) or (if Sofia is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [... | {"split": "train", "index": 16024} |
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, Grace, Logan, Ella, and Aiden. According to Lily, \"((if Ella is an altruist then Grace is an altruist) and (Aiden is an egoist)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 16025} |
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, Ava, Aiden, Mia, and Amelia. Jackson noted, \"(it is not the case that (Amelia is a knight if and only if Ava is a knight)) or ((Jackson is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]... | {"split": "train", "index": 16026} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Amelia, Ava, Matthew, and Evelyn. David said, \"if ((David is a laggard) or (Evelyn is a pioneer)) then (if (Amelia is a pioneer) then M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 1]], [\"lying\", 3]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"tel... | {"split": "train", "index": 16027} |
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, Isabella, Sofia, Matthew, and Samuel. Alexander remarked, \"((Isabella is an altruist and Matthew is an egoist and Samuel is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"t... | {"split": "train", "index": 16028} |
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, Emily, Chloe, Michael, and Benjamin. As Aria put it, \"Chloe is an altruist\". \"(if Chloe is an egoist then (Emily is an altruist if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 16029} |
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: Mason, Lily, Emily, Riley, and Oliver. \"Riley is an altruist or ((Riley is an altruist if and only if Oliver is an altruist) if and only if Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 3]],... | {"split": "train", "index": 16030} |
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, Samuel, Scarlett, Alexander, and Benjamin. \"Samuel is an altruist,\" Aurora mentioned. Samuel stated, \"((Samuel is an altruist and Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"-... | {"split": "train", "index": 16031} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Grace, Emily, Matthew, and Avery. According to Sophia, \"Avery is a saint\". Grace stated, \"(Sophia is a saint) if and only if (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\",... | {"split": "train", "index": 16032} |
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: Mason, Joseph, Ella, Owen, and Ethan. Mason said, \"Mason is an altruist.\" Joseph was heard saying, \"Ethan is an altruist\". Ella asserted: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"telling-truth\", 0], [\"telling-truth\", 4], [\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 3], ... | {"split": "train", "index": 16033} |
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, Benjamin, Mia, Isabella, and Ethan. Lucas commented, \"if Benjamin is a laggard then ((Benjamin is a laggard or Benjamin is a pioneer or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"and\", [\"<=>\... | {"split": "train", "index": 16034} |
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: Avery, Mia, Zoey, Charlotte, and Henry. In a statement by Avery: \"if (it is not the case that (Mia is a devil)) then (if (Zoey is a devil) then (Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"->\", [\"<=>\", [\"->\", [\"lying\", 3], [... | {"split": "train", "index": 16035} |
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, Michael, Owen, Abigail, and Jackson. \"Jackson is a devil,\" Jacob claimed. Michael stated, \"((Jacob is an angel) or (Abigail is a devil and Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"->\", [\"telling... | {"split": "train", "index": 16036} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emily, Daniel, Isabella, Riley, and Victoria. \"Isabella is an angel\" - Emily. Daniel was heard saying, \"(if Daniel is an angel then (Emily is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"tellin... | {"split": "train", "index": 16037} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jackson, Olivia, Daniel, Jack, and Ella. Jackson noted, \"Jack is an angel if and only if (if (Olivia is a devil) then (Olivia is a devil if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"t... | {"split": "train", "index": 16038} |
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: Henry, Elizabeth, Jacob, Abigail, and Penelope. Henry noted, \"it is not the case that ((Elizabeth is an angel) and (Abigail is an angel and Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 1]]]], [\"and\", [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"l... | {"split": "train", "index": 16039} |
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, Sebastian, Daniel, Aria, and Noah. In James's words: \"Sebastian is a knave\". As Sebastian put it, \"Noah is a knight and (if (Noah is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"<=>\", [\"lying\... | {"split": "train", "index": 16040} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Luke, Riley, Harper, and Emma. \"(it is not the case that (Luke is a pioneer)) if and only if (it is not the case that (Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [... | {"split": "train", "index": 16041} |
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, Zoey, Chloe, Isabella, and Mia. Grace told you that Zoey is a fool if and only if (if (Mia is a fool if and only if Chloe is a sage) then (Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"<=>\", [\"lying\", 1], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 16042} |
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, Charlotte, Liam, Evelyn, and Luke. \"((Luke is a laggard or Liam is a laggard) or (Charlotte is a laggard if and only if Liam is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [... | {"split": "train", "index": 16043} |
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: Sophia, Jackson, Avery, David, and Sebastian. Sophia noted, \"Jackson is a laggard\". Jackson was heard saying, \"David is a laggard\". As Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"lying\", 1], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"<=>\", [\"->\", [\"not\", [\"lying\", 2]... | {"split": "train", "index": 16044} |
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: Ethan, Scarlett, Lily, Amelia, and Luke. Ethan said, \"it is not the case that ((Lily is a villain if and only if Amelia is a villain) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\",... | {"split": "train", "index": 16045} |
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: Avery, Sofia, Matthew, Owen, and Zoey. \"((if Avery is a sage then Zoey is a fool) or (Zoey is a fool)) or ((if Sofia is a sage then Zoey is a fool) and (Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 4]], [\"or\", [\"t... | {"split": "train", "index": 16046} |
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, Scarlett, Oliver, Daniel, and Noah. \"it is not the case that ((if Scarlett is an angel then Scarlett is a devil) and (Scarlett is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]],... | {"split": "train", "index": 16047} |
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: Ethan, William, Jack, Riley, and Daniel. According to Ethan, \"it is not the case that (if (Jack is a hero and Riley is a villain) then (Jack is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"... | {"split": "train", "index": 16048} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Michael, Jacob, David, and Sophia. Ella said, \"Michael is a knave.\" Michael said that it is not the case that ((Michael is a knight or Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"lying\"... | {"split": "train", "index": 16049} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Avery, William, Jack, and Aurora. Mia said, \"Aurora is a sinner.\" In a statement by Avery: \"it is not the case that (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 0... | {"split": "train", "index": 16050} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Isabella, Victoria, Mason, and Evelyn. Riley said, \"((Victoria is an angel if and only if Isabella is an angel) and Isabella is an angel and (I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 4]... | {"split": "train", "index": 16051} |
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, Harper, Henry, Samuel, and Riley. Chloe stated, \"(Samuel is a knight) and ((Harper is a knave) or (Harper is a knight and Riley is a knave))\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"lying\", 2], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 2], [\... | {"split": "train", "index": 16052} |
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: Daniel, Benjamin, Harper, Victoria, and Sofia. Daniel stated, \"it is not the case that ((if Benjamin is a sinner then Harper is a sinner) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 2], [\"not\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\... | {"split": "train", "index": 16053} |
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: Daniel, Grace, William, Ava, and Mason. \"if ((Ava is a villain if and only if William is a hero) if and only if (Ava is a hero and Mason is a hero))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 16054} |
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, Amelia, Sofia, Abigail, and Ethan. Mia said that it is not the case that ((Amelia is a knight or Abigail is a knight or Amelia is a knave) or (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"... | {"split": "train", "index": 16055} |
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: Henry, Avery, Harper, Michael, and Olivia. According to Henry, \"Henry is a knight and ((Harper is a knave if and only if Michael is a knave) and (Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<... | {"split": "train", "index": 16056} |
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: Oliver, Michael, Olivia, Jacob, and Ava. Oliver stated, \"if Michael is a pioneer then Ava is a laggard\". Michael remarked, \"Oliver is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\... | {"split": "train", "index": 16057} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Chloe, Liam, Jacob, and Olivia. William expressed that ((if Liam is a knight then Liam is a knave) or Olivia is a knave or (Chloe is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 2], [... | {"split": "train", "index": 16058} |
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, Grace, Sophia, Lucas, and Avery. As Joseph put it, \"it is not the case that ((Lucas is a pioneer and Grace is a laggard) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 16059} |
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, Ethan, Jacob, Noah, and Amelia. William remarked, \"Jacob is a villain or (it is not the case that (if Jacob is a hero then Jacob is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"lying\", 4], [\"and\", [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]... | {"split": "train", "index": 16060} |
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, Jackson, Aurora, Elizabeth, and Michael. Isabella asserted: \"Michael is a sinner\". In Jackson's words: \"(it is not the case that (Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"<=... | {"split": "train", "index": 16061} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, Jackson, Sebastian, Scarlett, and Grace. Evelyn was heard saying, \"it is not the case that ((if Scarlett is an egoist then Jackson is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", ... | {"split": "train", "index": 16062} |
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: Emily, Jack, Mason, Oliver, and Noah. \"(it is not the case that (Oliver is a laggard if and only if Oliver is a pioneer)) and ((Oliver is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"or\", [\"tel... | {"split": "train", "index": 16063} |
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, Aria, Henry, Sofia, and Mia. Emily stated, \"if ((Mia is a sinner or Emily is a saint or Mia is a saint) if and only if (Aria is a sinner if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\",... | {"split": "train", "index": 16064} |
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: Abigail, Evelyn, Grace, Sebastian, and Isabella. \"it is not the case that (if (Grace is an altruist or Abigail is an altruist or Grace is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"no... | {"split": "train", "index": 16065} |
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: Daniel, James, Jacob, Victoria, and Charlotte. Daniel noted, \"(it is not the case that (Jacob is an altruist or Victoria is an egoist or James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\... | {"split": "train", "index": 16066} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Samuel, Elizabeth, James, and Matthew. Zoey expressed that if ((Elizabeth is a sage and Elizabeth is a fool and Zoey is a sage) or (Samuel is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"ly... | {"split": "train", "index": 16067} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Avery, Aria, Sebastian, Mia, and Lucas. Avery said that if (Aria is a laggard or (Lucas is a laggard)) then ((if Lucas is a pioneer then Aria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-tru... | {"split": "train", "index": 16068} |
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, Alexander, Isabella, Emily, and Sofia. Amelia expressed that Alexander is a knave or ((Alexander is a knight if and only if Isabella is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"or\", [\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"->\", [\"ly... | {"split": "train", "index": 16069} |
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, Alexander, Mason, Owen, and Luke. Oliver noted, \"Owen is an egoist\". Alexander noted, \"((Owen is an egoist and Mason is an egoist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 3]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 16070} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jackson, Ella, Liam, Grace, and Noah. According to Jackson, \"Grace is a devil\". Ella said, \"it is not the case that (if (Noah is a devil if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"lying\", 3], [\"<=>\", [\"not\", [\"or\", [\"lying\", 0], [\"ly... | {"split": "train", "index": 16071} |
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, Jacob, Mia, Aurora, and Sophia. In Isabella's words: \"((Isabella is a knave) if and only if (if Jacob is a knave then Sophia is a knave)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"or\", [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 16072} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lily, Penelope, Luke, Jack, and Alexander. As Lily put it, \"Luke is a saint\". Penelope commented, \"(it is not the case that (Jack is a saint and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telli... | {"split": "train", "index": 16073} |
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: Benjamin, Samuel, Alexander, Emma, and Sophia. Benjamin said, \"Sophia is an angel.\" Samuel remarked, \"(it is not the case that (Emma is a devil)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\",... | {"split": "train", "index": 16074} |
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, Benjamin, Owen, Jackson, and Alexander. Amelia said, \"it is not the case that (Owen is an angel and (Owen is a devil and Amelia is an angel)).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 16075} |
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: Liam, Zoey, Jackson, Amelia, and Lily. \"Amelia is an angel or (if (Amelia is an angel or Jackson is an angel) then (Liam is an angel or Amelia is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\",... | {"split": "train", "index": 16076} |
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: Owen, Sebastian, Abigail, Jack, and Charlotte. \"(Sebastian is a saint) if and only if (if Charlotte is a sinner then (if Charlotte is a saint then O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"telling-truth\", 2], [\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 16077} |
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, Avery, David, Jacob, and Ella. Chloe remarked, \"((David is an altruist and Chloe is an altruist and Ella is an egoist) and (Jacob is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], ... | {"split": "train", "index": 16078} |
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, Zoey, Sebastian, Ethan, and Aiden. Chloe told you that if ((Aiden is a fool) if and only if (if Ethan is a sage then Zoey is a fool)) then (if (Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 16079} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Owen, Avery, Benjamin, and Evelyn. Logan remarked, \"(it is not the case that (if Avery is a devil then Avery is an angel)) if and only if (Benj... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"or\", [\"or\", [\"lying\", 0], [... | {"split": "train", "index": 16080} |
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, Abigail, Harper, Ethan, and Sofia. Jacob said, \"Abigail is a villain or ((if Abigail is a villain then Harper is a hero) or (Abigail is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3]]], [\"lying\", 2]], [\"and\", [\"<=>\", [\"and\", [\"te... | {"split": "train", "index": 16081} |
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, Evelyn, Jacob, Samuel, and William. \"Jacob is an egoist,\" Chloe mentioned. Evelyn was heard saying, \"it is not the case that (William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]]]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"... | {"split": "train", "index": 16082} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Matthew, Michael, Isabella, and William. James stated, \"Michael is an angel\". Matthew expressed that if (Michael is a devil or (Michael is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"ly... | {"split": "train", "index": 16083} |
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, Avery, Penelope, Henry, and Chloe. Ethan was heard saying, \"Chloe is a laggard\". Avery was heard saying, \"if (if (Ethan is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"no... | {"split": "train", "index": 16084} |
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: Mason, Michael, Grace, Amelia, and Abigail. Mason said that ((Abigail is an altruist and Amelia is an altruist and Michael is an altruist) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"lying\", 1], [\"lying\... | {"split": "train", "index": 16085} |
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, Jackson, Joseph, Isabella, and Scarlett. In Aria's words: \"Joseph is an egoist\". \"Aria is an altruist,\" Jackson mentioned. Joseph ass... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"tel... | {"split": "train", "index": 16086} |
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: Noah, Zoey, Daniel, Jack, and Jackson. \"(if (Zoey is an angel or Daniel is an angel) then (Zoey is a devil and Noah is an angel)) and ((if Zoey is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\"... | {"split": "train", "index": 16087} |
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, Chloe, Evelyn, Penelope, and Mia. Sebastian expressed that if (if (if Sebastian is an angel then Penelope is a devil) then (Chloe is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [... | {"split": "train", "index": 16088} |
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, Sofia, Riley, Michael, and Ella. In Samuel's words: \"if (it is not the case that (if Michael is a sinner then Ella is a saint)) then (if (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\"... | {"split": "train", "index": 16089} |
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: Zoey, Elizabeth, Lily, Luke, and Isabella. Zoey was heard saying, \"if (if (Luke is a hero if and only if Lily is a hero) then (Lily is a hero if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lyin... | {"split": "train", "index": 16090} |
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, Jackson, Joseph, Sophia, and Owen. Ava asserted: \"if ((Joseph is a hero or Owen is a hero) if and only if (Jackson is a villain if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"tel... | {"split": "train", "index": 16091} |
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: Henry, Zoey, Mason, William, and Owen. \"(it is not the case that (Henry is a knight and Mason is a knave and William is a knight)) and Zoey is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 1], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 4]], [\"not\"... | {"split": "train", "index": 16092} |
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, Mason, Liam, Sofia, and Ethan. Harper expressed that if Mason is a fool then (Sofia is a sage if and only if (Liam is a sage and Mason is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"lying\", 0], [\"not\", [\"->\", [\"not\", [\"telling-trut... | {"split": "train", "index": 16093} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lucas, David, William, Isabella, and Riley. Lucas noted, \"((if Riley is a devil then William is a devil) and Lucas is an angel) if and only if ((David... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 0]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"te... | {"split": "train", "index": 16094} |
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: Noah, Mia, Sebastian, Avery, and Penelope. As Noah put it, \"if ((Mia is a devil or Noah is an angel or Avery is an angel) or (Mia is an angel or Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-... | {"split": "train", "index": 16095} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Aurora, Aiden, Ethan, and Michael. Joseph was heard saying, \"(if (Ethan is a sage or Joseph is a sage or Ethan is a fool) then (if Aiden is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]]... | {"split": "train", "index": 16096} |
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: Owen, Lucas, Olivia, Alexander, and Abigail. Owen remarked, \"Owen is a saint if and only if ((Alexander is a sinner) or (if Olivia is a sinner then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"lying\", 2], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 16097} |
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, Harper, Liam, James, and Isabella. In a statement by Henry: \"James is a sinner or Isabella is a saint or (it is not the case that (Liam is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-tru... | {"split": "train", "index": 16098} |
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, Noah, Sofia, Logan, and Aurora. In a statement by Aiden: \"Noah is a sinner\". Noah told you that it is not the case that ((Logan is a saint a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"and\... | {"split": "train", "index": 16099} |
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