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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, Grace, Victoria, Scarlett, and Aiden. Ethan commented, \"if (if (Ethan is an egoist) then (Aiden is an altruist or Victoria is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 144, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 15700} |
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: Jack, Henry, Alexander, Aiden, and Zoey. Jack stated, \"((if Aiden is an altruist then Alexander is an egoist) or (Alexander is an egoist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 145, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 3]], [\"<=>... | {"split": "train", "index": 15701} |
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: Matthew, Aria, Olivia, Jackson, and Abigail. \"Olivia is a fool if and only if ((Abigail is a sage or Jackson is a fool) and (if Jackson is a sage then Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"->\",... | {"split": "train", "index": 15702} |
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: Victoria, Elizabeth, Alexander, Zoey, and Emily. Victoria stated, \"Zoey is an altruist or ((Elizabeth is an egoist and Emily is an egoist) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 147, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"and\", [\"l... | {"split": "train", "index": 15703} |
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: Aiden, Noah, Elizabeth, Abigail, and Harper. Aiden said that Abigail is a laggard. \"((Elizabeth is a laggard or Harper is a laggard) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"lying\", 3], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 15704} |
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, Owen, Penelope, and Lily. According to James, \"if Lily is a devil then ((James is an angel if and only if Owen is an angel) or (Matthe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"and\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 15705} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Owen, Zoey, Abigail, and Samuel. Isabella said, \"Abigail is a sage.\" Owen said, \"Samuel is a sage.\" In Zoey's words: \"(it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 150, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 1]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], ... | {"split": "train", "index": 15706} |
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, Michael, Mason, Penelope, and Benjamin. Ava expressed that if ((Penelope is a laggard) and (Mason is a pioneer if and only if Mason is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 151, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and... | {"split": "train", "index": 15707} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Aurora, Riley, Aiden, and Daniel. Olivia told you that ((if Olivia is a hero then Daniel is a villain) and (Aurora is a hero or Olivia is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 152, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 2]], [\"->\"... | {"split": "train", "index": 15708} |
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: Liam, Penelope, Ava, Charlotte, and Jackson. \"if ((Jackson is a hero) and (Jackson is a villain and Jackson is a hero) and (Penelope is a hero)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 153, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"tellin... | {"split": "train", "index": 15709} |
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, William, Chloe, Aurora, and Aria. \"((if Aria is a sage then William is a fool) or (William is a fool or Chloe is a sage or Aria is a sage) or (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 154, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\",... | {"split": "train", "index": 15710} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Amelia, Henry, Evelyn, and Matthew. \"(if (Amelia is a knave or Evelyn is a knave or Henry is a knave) then Matthew is a knave) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 155, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 2]], [\"lying\", 4]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 4]]], ... | {"split": "train", "index": 15711} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Penelope, Aria, Lily, and Luke. According to Ava, \"if Luke is a fool then ((Penelope is a sage if and only if Luke is a sage) or (if Penelope is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 156, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"or\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 15712} |
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, Michael, Jack, Henry, and Olivia. \"(it is not the case that (Jack is an egoist if and only if Michael is an egoist)) and ((Michael is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 157, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"lying\", 1], [\"or\", [\"lying\", 3], ... | {"split": "train", "index": 15713} |
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, Owen, Joseph, Noah, and Sophia. \"((Joseph is a fool and Sophia is a sage and Noah is a sage) or (Henry is a sage or Sophia is a fool or Owen is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 158, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], ... | {"split": "train", "index": 15714} |
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: Emma, Harper, Jack, Charlotte, and Owen. \"it is not the case that ((Emma is a hero or Owen is a villain or Charlotte is a hero) if and only if (Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 159, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"... | {"split": "train", "index": 15715} |
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: Lily, Harper, Abigail, Grace, and Chloe. \"((Lily is a fool) if and only if (Chloe is a fool)) and (it is not the case that (Harper is a fool)) and ((Chloe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 160, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0... | {"split": "train", "index": 15716} |
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, Grace, Emily, Charlotte, and Aria. \"Charlotte is an egoist,\" Luke declared. Grace noted, \"Charlotte is an altruist\". Emily remarked, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 161, \"statements\": [[\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"lying\", 4]], [\"not\", [\"and\", [\"and\", ... | {"split": "train", "index": 15717} |
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, Joseph, Avery, Benjamin, and Ava. \"Benjamin is a sinner if and only if ((Ava is a sinner and Joseph is a sinner and Avery is a saint) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 162, \"statements\": [[\"<=>\", [\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\... | {"split": "train", "index": 15718} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Riley, James, Emily, Penelope, and Lily. \"(it is not the case that (if Lily is a saint then Penelope is a saint)) and (if (Riley is a saint or Penel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 163, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 4]... | {"split": "train", "index": 15719} |
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: Liam, Jackson, Samuel, Daniel, and Isabella. \"Daniel is a fool,\" Liam mentioned. Jackson was heard saying, \"it is not the case that (if Isabella is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 164, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 0]]]], [\"not\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]]], [\"->\", [\... | {"split": "train", "index": 15720} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jackson, Sofia, David, Noah, and Elizabeth. \"((David is a sinner and David is a saint and Sofia is a saint) if and only if (if Sofia is a saint then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 165, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"n... | {"split": "train", "index": 15721} |
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, Abigail, Evelyn, Emma, and Sofia. Scarlett noted, \"((Abigail is a pioneer or Evelyn is a laggard) if and only if Emma is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 166, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 3]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", ... | {"split": "train", "index": 15722} |
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: Sebastian, Joseph, James, Ava, and Avery. \"(Ava is a laggard if and only if (James is a laggard)) or ((Ava is a pioneer or James is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 167, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3... | {"split": "train", "index": 15723} |
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, Sofia, Olivia, Mia, and Michael. As Penelope put it, \"Michael is a knight\". In a statement by Sofia: \"Mia is a knave and (if (if Michael... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 168, \"statements\": [[\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\"... | {"split": "train", "index": 15724} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jackson, Mia, Luke, Ethan, and Zoey. Jackson noted, \"Luke is an egoist\". Mia was heard saying, \"((if Luke is an egoist then Luke is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 169, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"... | {"split": "train", "index": 15725} |
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, Aria, Noah, Ella, and Riley. Harper stated, \"((Aria is a fool) and (Noah is a sage)) and ((Riley is a fool and Ella is a sage) if and only if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 170, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"and\"... | {"split": "train", "index": 15726} |
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, Samuel, Olivia, Abigail, and Ethan. \"((Olivia is a villain if and only if Samuel is a hero) if and only if Olivia is a hero) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 171, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\... | {"split": "train", "index": 15727} |
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: Penelope, Mason, Aria, Joseph, and William. According to Penelope, \"Aria is a sage\". Mason noted, \"(Aria is a sage and (if William is a fool then Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 172, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 2]], [\"lying\", 4]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 1], [\"lying... | {"split": "train", "index": 15728} |
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: Aurora, Evelyn, Aria, Jackson, and Avery. Aurora told you that (Evelyn is a fool) and (if (Evelyn is a fool and Jackson is a fool and Evelyn is a sage) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 173, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 4], [\"or\", [\"not\", [\"telling-tr... | {"split": "train", "index": 15729} |
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, Amelia, Abigail, Aurora, and Lily. Avery noted, \"if ((Avery is a sage and Lily is a sage) and (Lily is a sage or Amelia is a fool) and (Abigail is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 174, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"te... | {"split": "train", "index": 15730} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Daniel, Luke, Logan, and Aiden. David asserted: \"Daniel is a knave\". Daniel remarked, \"(if (Logan is a knight if and only if Daniel is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 175, \"statements\": [[\"lying\", 1], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"not... | {"split": "train", "index": 15731} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Penelope, Alexander, Zoey, and Noah. Liam commented, \"((Alexander is a laggard) if and only if (if Zoey is a laggard then Noah is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 176, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"l... | {"split": "train", "index": 15732} |
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, Ella, Liam, Evelyn, and Victoria. Grace said that Evelyn is a fool if and only if Ella is a fool. Ella remarked, \"Liam is a sage\". \"(Victoria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 177, \"statements\": [[\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-tru... | {"split": "train", "index": 15733} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: William, Elizabeth, Isabella, Amelia, and Owen. William remarked, \"if ((if Owen is a laggard then William is a pioneer) if and only if (Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"and\", [\"lying\", 0], [\"->\"... | {"split": "train", "index": 15734} |
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, Harper, Liam, Matthew, and Elizabeth. Grace was heard saying, \"if Matthew is an angel then (if (Harper is a devil and Elizabeth is a devil and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 179, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"or\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 15735} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Logan, Sophia, Matthew, and Elizabeth. Oliver said, \"((Oliver is a knight or Sophia is a knave) and (Sophia is a knave and Elizabeth is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 180, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\"... | {"split": "train", "index": 15736} |
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, Jacob, Sofia, Jack, and Matthew. Zoey remarked, \"if ((Jacob is a knight or Jack is a knave or Matthew is a knave) if and only if (Matthew is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 181, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"and\", [\"and\"... | {"split": "train", "index": 15737} |
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, Ella, Ethan, Amelia, and Luke. \"(Ella is a laggard or Ethan is a pioneer or (Ella is a laggard and Amelia is a pioneer)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 182, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 15738} |
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, Liam, Victoria, Joseph, and David. \"((Liam is an angel or Joseph is an angel or David is an angel) and (David is a devil)) and ((David is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 183, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->... | {"split": "train", "index": 15739} |
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, Alexander, Amelia, Ella, and David. \"Alexander is an egoist and (Amelia is an egoist and (if Amelia is an altruist then Ella is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 184, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"or\", [\"lying\", 4], [\"not\", [\"... | {"split": "train", "index": 15740} |
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: Oliver, Ava, Abigail, Michael, and Samuel. In Oliver's words: \"(Michael is a sinner) and Michael is a sinner and ((Michael is a saint if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 185, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4]... | {"split": "train", "index": 15741} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Harper, Oliver, Benjamin, and Penelope. Scarlett said, \"if Penelope is a villain then (if (Benjamin is a hero) then (if Benjamin is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]]... | {"split": "train", "index": 15742} |
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, Aria, Avery, Samuel, and William. Daniel noted, \"((Samuel is a knave if and only if Daniel is a knight) or Samuel is a knave or (Daniel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 187, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [... | {"split": "train", "index": 15743} |
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: David, Mason, Emily, Mia, and Aria. According to David, \"((Mia is a saint if and only if Mia is a sinner) if and only if (Aria is a saint and Mia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"or\", [\"lying\", ... | {"split": "train", "index": 15744} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Samuel, Penelope, Liam, and Jacob. In a statement by Logan: \"if Jacob is a knave then (if Liam is a knave then (Liam is a knave if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"and\", [... | {"split": "train", "index": 15745} |
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, Abigail, Harper, Jack, and Sophia. According to Owen, \"((if Abigail is a saint then Harper is a saint) and Jack is a saint and (Jack is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 15746} |
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, Owen, Mason, Avery, and Henry. \"((Henry is a laggard) and (Owen is a laggard) and (Avery is a pioneer and Owen is a pioneer and Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", ... | {"split": "train", "index": 15747} |
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, Mia, Abigail, William, and Owen. \"((William is a saint if and only if Sophia is a saint) if and only if (Owen is a sinner)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 15748} |
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, Elizabeth, Alexander, Ethan, and Lucas. Noah stated, \"Ethan is a laggard\". Elizabeth was heard saying, \"(it is not the case that (Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 2], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telli... | {"split": "train", "index": 15749} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Amelia, Isabella, Jack, and Sofia. \"it is not the case that ((Isabella is a hero if and only if Sofia is a hero) if and only if Jack is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2]], [\"-... | {"split": "train", "index": 15750} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Jackson, Joseph, Sebastian, and James. Emily was heard saying, \"if Jackson is a fool then (it is not the case that (Joseph is a fool and Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\",... | {"split": "train", "index": 15751} |
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, Joseph, Jackson, Luke, and Ella. In Lily's words: \"(it is not the case that (Ella is an altruist or Ella is an egoist)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"lying\", 1], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"not\", [\"and\", [\"lying\", 2],... | {"split": "train", "index": 15752} |
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: Evelyn, Noah, Ella, Harper, and Matthew. Evelyn noted, \"((Evelyn is a pioneer and Noah is a laggard) and (Evelyn is a pioneer and Matthew is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\",... | {"split": "train", "index": 15753} |
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, Ava, Oliver, Luke, and Lucas. \"(if (Luke is a knight) then (if Oliver is a knave then Luke is a knave)) if and only if (Oliver is a knave),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\",... | {"split": "train", "index": 15754} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Evelyn, Luke, Sophia, and Jacob. Sofia noted, \"((if Sophia is a villain then Evelyn is a hero) and (if Evelyn is a villain then Jacob is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"lying\", 3]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"and\", [\"lying\",... | {"split": "train", "index": 15755} |
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: Scarlett, Jacob, Liam, Jack, and William. Scarlett stated, \"Liam is a sage\". Jacob was heard saying, \"(Jack is a sage and William is a sage) or ((Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\... | {"split": "train", "index": 15756} |
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, Matthew, Alexander, Jackson, and Daniel. Jack expressed that (if Jack is a saint then (Daniel is a sinner if and only if Matthew is a saint)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]]], [\"<=>\", [... | {"split": "train", "index": 15757} |
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, Luke, Abigail, Grace, and Jacob. Olivia noted, \"((Jacob is an egoist or Grace is an egoist or Luke is an egoist) and (if Grace is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"o... | {"split": "train", "index": 15758} |
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, Logan, Jack, Ella, and Aria. \"((Ella is a fool) and Jack is a sage and (Logan is a fool if and only if Jack is a fool)) and ((if Jack is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-... | {"split": "train", "index": 15759} |
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, Noah, Henry, Owen, and Samuel. Evelyn told you that (it is not the case that (if Evelyn is an angel then Noah is an angel)) and ((if Henry is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 0]]]... | {"split": "train", "index": 15760} |
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, Chloe, Lucas, Owen, and Joseph. Sebastian asserted: \"it is not the case that ((Sebastian is a sage and Owen is a sage) if and only if Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 1]]], [\"and\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [... | {"split": "train", "index": 15761} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Ethan, Grace, Charlotte, and Victoria. Sofia was heard saying, \"it is not the case that (if (Sofia is a sage and Grace is a sage) then (Charlotte i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", ... | {"split": "train", "index": 15762} |
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, Abigail, Luke, Ethan, and Daniel. In a statement by Avery: \"if Luke is a pioneer then ((if Luke is a pioneer then Abigail is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lyi... | {"split": "train", "index": 15763} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Elizabeth, Matthew, Daniel, Ethan, and Ella. \"if Ella is a pioneer then Elizabeth is a pioneer,\" Elizabeth claimed. Matthew asserted: \"if ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 15764} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, Zoey, Sophia, Logan, and Penelope. Jacob remarked, \"((if Penelope is an altruist then Jacob is an altruist) and (Jacob is an altruist a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"te... | {"split": "train", "index": 15765} |
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: Amelia, Jack, Daniel, Mia, and Samuel. In Amelia's words: \"it is not the case that (it is not the case that (Jack is a sinner or Samuel is a saint))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\... | {"split": "train", "index": 15766} |
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, Joseph, Aiden, Aurora, and Henry. William said, \"(if (Joseph is a saint or Aiden is a sinner or Henry is a saint) then (Aurora is a saint a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 15767} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Joseph, Sebastian, Aiden, and Isabella. As Avery put it, \"Aiden is a sinner\". \"(Isabella is a saint and (Avery is a saint if and only if Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]]... | {"split": "train", "index": 15768} |
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, Lucas, Emily, Jacob, and Aria. In William's words: \"((Emily is a knight) if and only if (if Jacob is a knight then Lucas is a knave)) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [... | {"split": "train", "index": 15769} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Harper, Jack, James, and Matthew. Charlotte noted, \"(if (James is an angel or James is a devil or Matthew is a devil) then (if Harper is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [... | {"split": "train", "index": 15770} |
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, Penelope, Riley, Mason, and Scarlett. Sophia stated, \"((Scarlett is a pioneer and Riley is a laggard) or (Scarlett is a laggard or Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1]... | {"split": "train", "index": 15771} |
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, Matthew, Henry, Scarlett, and Riley. In a statement by Aiden: \"((Matthew is a sage and Henry is a sage) if and only if (Scarlett is a fool)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"no... | {"split": "train", "index": 15772} |
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, Mia, Henry, Abigail, and Riley. Joseph expressed that (Riley is a sage and (if Henry is a fool then Riley is a sage) and (Henry is a fool if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 15773} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Charlotte, Ella, Daniel, and Lucas. \"((Lucas is a knave or Daniel is a knight) or (Ella is a knight or Ella is a knave or Charlotte is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 1], [\"not\", [\"->\", [\"telling-truth\", 0], [... | {"split": "train", "index": 15774} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Scarlett, Chloe, Oliver, Isabella, and Victoria. In Scarlett's words: \"Isabella is a saint\". \"(it is not the case that (if Victoria is a saint the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"not\", [\"lying\", 3]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 15775} |
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, Noah, Sofia, Henry, and Evelyn. Zoey said that Henry is a sage or ((Evelyn is a fool and Noah is a fool) or (if Sofia is a fool then Noah is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 2]... | {"split": "train", "index": 15776} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sophia, Noah, Evelyn, Amelia, and Olivia. \"((if Noah is a devil then Evelyn is a devil) or Amelia is an angel) or Sophia is an angel,\" Sophia mention... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"... | {"split": "train", "index": 15777} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Liam, Luke, Evelyn, and Zoey. \"Luke is a knight,\" Grace claimed. \"Evelyn is a knight,\" Liam claimed. Luke remarked, \"((Grace is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 0]], ... | {"split": "train", "index": 15778} |
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, Harper, Avery, Liam, and Mia. As Alexander put it, \"it is not the case that (it is not the case that (Alexander is an altruist and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 0]], [\"l... | {"split": "train", "index": 15779} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Grace, Mason, Samuel, and Jackson. Emma commented, \"((Samuel is an altruist if and only if Emma is an altruist) and (if Mason is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"not\", [\"ly... | {"split": "train", "index": 15780} |
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: Aria, Avery, David, Grace, and Lily. \"(it is not the case that (Avery is a laggard if and only if Lily is a pioneer)) or (if (Grace is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"not\", [... | {"split": "train", "index": 15781} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emma, Oliver, Charlotte, Jack, and Scarlett. \"it is not the case that (it is not the case that (Oliver is a fool or Jack is a sage or Oliver is a sage)),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"not\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 15782} |
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, Harper, Riley, Aiden, and Liam. Grace remarked, \"Riley is a hero\". Harper said, \"Aiden is a hero.\" \"(if Liam is a villain then (Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 15783} |
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, Logan, Ava, Victoria, and Emily. Olivia asserted: \"it is not the case that ((Ava is a devil or Logan is a devil) or (Victoria is an angel))\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\... | {"split": "train", "index": 15784} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Noah, Samuel, Grace, and Sofia. Zoey was heard saying, \"(Sofia is a devil and (Noah is a devil and Zoey is an angel and Samuel is an angel) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telli... | {"split": "train", "index": 15785} |
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, Amelia, James, Benjamin, and Samuel. Joseph said, \"Benjamin is a laggard.\" Amelia said that (Joseph is a pioneer) and Benjamin is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\... | {"split": "train", "index": 15786} |
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, Jack, David, Logan, and Olivia. Amelia was heard saying, \"((if Jack is a knave then David is a knave) and (if Logan is a knight then Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"te... | {"split": "train", "index": 15787} |
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, Mason, Ethan, Aiden, and Jackson. Chloe said, \"((Mason is a knave) if and only if (Jackson is a knight if and only if Mason is a knight)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-... | {"split": "train", "index": 15788} |
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, Sebastian, Sophia, Olivia, and Chloe. Noah stated, \"((Sophia is a devil and Sophia is an angel) if and only if (Olivia is an angel)) or ((Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]]], [\"or\", [\"->\"... | {"split": "train", "index": 15789} |
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: Sebastian, Jack, Mason, Chloe, and Oliver. As Sebastian put it, \"((if Oliver is a sinner then Mason is a sinner) or (Chloe is a saint or Oliver is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 3]], [\... | {"split": "train", "index": 15790} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, James, Logan, David, and Alexander. Sofia commented, \"James is a villain and (if (David is a hero and Alexander is a villain) then Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]],... | {"split": "train", "index": 15791} |
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, Charlotte, Sebastian, James, and Sofia. Aurora was heard saying, \"if ((Sofia is an altruist and Aurora is an altruist and James is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 15792} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Elizabeth, Victoria, Joseph, Logan, and Sophia. Elizabeth remarked, \"Logan is a pioneer\". Victoria said, \"(Sophia is a pioneer) and (Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1],... | {"split": "train", "index": 15793} |
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: Joseph, Abigail, Mason, Olivia, and Noah. In Joseph's words: \"it is not the case that ((Noah is a knight if and only if Joseph is a knight) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"or\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"telling-tr... | {"split": "train", "index": 15794} |
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, Riley, Lucas, Aiden, and Aurora. Matthew stated, \"Riley is a laggard\". In a statement by Riley: \"if (it is not the case that (Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"not\", [\"lying\", 0]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], ... | {"split": "train", "index": 15795} |
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: Daniel, Ella, Samuel, Sofia, and Isabella. Daniel remarked, \"it is not the case that (it is not the case that (Isabella is a fool or Ella is a fool or Dan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-... | {"split": "train", "index": 15796} |
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: Daniel, Henry, Liam, Jack, and Amelia. Daniel noted, \"Liam is a pioneer\". Henry stated, \"it is not the case that ((Amelia is a laggard or Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"and\... | {"split": "train", "index": 15797} |
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, Emma, Avery, James, and Logan. Jackson asserted: \"Avery is an angel\". \"Emma is an angel if and only if (if (if Emma is an angel then Logan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"or\", [\"or\", [\"telling-trut... | {"split": "train", "index": 15798} |
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, Samuel, Aria, and Henry. \"Henry is a laggard,\" Lily declared. Jacob commented, \"(if (if Samuel is a pioneer then Lily is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 4]]], [\"telling-truth\", 2]], [\"and\", [\"->\", ... | {"split": "train", "index": 15799} |
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