data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Riley, Sebastian, James, and Mason. As David put it, \"Riley is a knave\". \"((if James is a knave then Sebastian is a knight) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [... | {"split": "train", "index": 16300} |
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, Scarlett, Michael, Luke, and Ella. Daniel said, \"((Luke is a hero and Scarlett is a villain) or (Luke is a hero or Luke is a villain)) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 2... | {"split": "train", "index": 16301} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ava, Penelope, Abigail, Owen, and William. Ava was heard saying, \"((William is an egoist) and (Owen is an egoist)) or ((Penelope is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 16302} |
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, Zoey, Riley, Oliver, and James. \"((James is an angel and Riley is an angel and Zoey is an angel) if and only if (Zoey is an angel or Oliver is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 16303} |
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, Oliver, Henry, Alexander, and Ethan. Aiden noted, \"Oliver is a laggard\". Oliver asserted: \"((Alexander is a pioneer if and only if He... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"lying\", 1], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 16304} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Sebastian, Ella, Harper, and Jackson. In a statement by Evelyn: \"if Sebastian is a hero then ((Jackson is a hero) if and only if (Evelyn is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"or\", [\"lying\", 4], [\"not\", [\"not\", [\"ly... | {"split": "train", "index": 16305} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Luke, Henry, David, Elizabeth, and Riley. Luke stated, \"((Henry is a hero if and only if Riley is a villain) or (Riley is a hero and Luke is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], ... | {"split": "train", "index": 16306} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Jack, Riley, Luke, and Henry. David expressed that if ((Riley is a devil if and only if Henry is an angel) and (if Henry is a devil then David i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"no... | {"split": "train", "index": 16307} |
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, Jacob, Charlotte, Ella, and Victoria. Daniel said that (if (Jacob is a laggard and Ella is a laggard and Victoria is a laggard) then Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2... | {"split": "train", "index": 16308} |
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, Jackson, Owen, Evelyn, and Emily. Daniel told you that (it is not the case that (Owen is a hero or Owen is a villain)) and ((Emily is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\... | {"split": "train", "index": 16309} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aurora, Olivia, Penelope, Sophia, and Victoria. Aurora told you that if (if (Penelope is a pioneer if and only if Penelope is a laggard) then P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"n... | {"split": "train", "index": 16310} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Benjamin, Samuel, Jacob, Grace, and Michael. In Benjamin's words: \"Samuel is a sage\". Samuel asserted: \"Benjamin is a fool and ((Jacob is a fool and Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 0], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]]]... | {"split": "train", "index": 16311} |
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, Emma, Sebastian, Logan, and James. Chloe commented, \"Emma is a knave\". \"it is not the case that (it is not the case that (James is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"lying\", 1], [\"not\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth... | {"split": "train", "index": 16312} |
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: Noah, Joseph, Avery, Matthew, and James. In Noah's words: \"(James is a villain) or ((James is a hero if and only if James is a villain) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [... | {"split": "train", "index": 16313} |
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, Noah, William, Mason, and Lucas. James commented, \"(if (if Lucas is a knave then Lucas is a knight) then (Noah is a knave and Noah is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"ly... | {"split": "train", "index": 16314} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Matthew, Lucas, Mason, and Samuel. In Alexander's words: \"((Mason is a villain if and only if Samuel is a villain) if and only if (Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-t... | {"split": "train", "index": 16315} |
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, Victoria, Matthew, William, and Abigail. \"Abigail is a knave,\" Mia declared. \"((if William is a knight then Abigail is a knight) and (if Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"and\", [\"l... | {"split": "train", "index": 16316} |
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, Lucas, Jacob, Ava, and James. \"((Lucas is a pioneer or James is a pioneer) if and only if (if James is a pioneer then Jacob is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 1]]], [\"not\", [\"... | {"split": "train", "index": 16317} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Grace, Jack, Aria, and Elizabeth. Jackson commented, \"(if Grace is a sage then (Jack is a sage if and only if Grace is a fool)) if and only if ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 16318} |
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, William, Liam, Matthew, and Luke. Scarlett was heard saying, \"Matthew is an angel\". As William put it, \"it is not the case that ((Matthew ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"telling... | {"split": "train", "index": 16319} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Aria, Penelope, Logan, and Jacob. \"Logan is an angel or (if (Aria is a devil) then (Elizabeth is an angel or Aria is an angel)) or ((Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], ... | {"split": "train", "index": 16320} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Mason, Lucas, Ava, and Aiden. Mia asserted: \"Mason is a sage if and only if Ava is a fool\". Mason asserted: \"(it is not the case that (if Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"lying\", 0]]], [\"telling-... | {"split": "train", "index": 16321} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aiden, Amelia, Abigail, Michael, and Jacob. Aiden told you that Michael is a hero. According to Amelia, \"((if Michael is a villain then Jacob is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"not\", [\"lying\", 3]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"->\", [\"... | {"split": "train", "index": 16322} |
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: Sebastian, Elizabeth, Emma, Ella, and Sophia. According to Sebastian, \"if (it is not the case that (Ella is an egoist and Emma is an egoist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 4]]], [\"and\", [\"->\", [\"not\", [\"telling... | {"split": "train", "index": 16323} |
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, Riley, Olivia, Aria, and Sophia. Scarlett asserted: \"Riley is a saint and (if (if Olivia is a sinner then Aria is a sinner) then (Olivia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 2]]]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-tr... | {"split": "train", "index": 16324} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Oliver, Matthew, Charlotte, and Mia. Amelia said that Matthew is a sage or (if (if Oliver is a sage then Amelia is a sage) then (if Amelia is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 16325} |
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: David, Aiden, Daniel, Riley, and Jack. As David put it, \"Jack is an egoist\". Aiden asserted: \"Riley is an altruist or (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"lying\", 4], [\"or\", [\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"or\... | {"split": "train", "index": 16326} |
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, Henry, Mason, Aurora, and James. According to Sebastian, \"if (it is not the case that (Sebastian is an angel and Henry is a devil)) then ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"->\", [\"... | {"split": "train", "index": 16327} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mason, Alexander, Ella, Samuel, and Joseph. \"Mason is a sage and Ella is a sage and ((if Alexander is a sage then Joseph is a sage) if and only if (Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 16328} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Evelyn, Aria, Aurora, and Luke. \"if ((Evelyn is a sinner and Mia is a saint and Aurora is a sinner) if and only if (Luke is a saint)) then Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"lying\", 1]], [\"and\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-... | {"split": "train", "index": 16329} |
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, Aurora, Jackson, Penelope, and Aria. Zoey said that if (if (Penelope is a sage) then (if Aria is a fool then Aurora is a sage)) then (it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-trut... | {"split": "train", "index": 16330} |
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, Emily, Penelope, Riley, and Noah. Harper told you that it is not the case that ((if Noah is a sage then Riley is a sage) if and only if (Noah is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]]], [\"not\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [... | {"split": "train", "index": 16331} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, David, Isabella, Benjamin, and Evelyn. James asserted: \"(if Evelyn is a knight then (Benjamin is a knight if and only if James is a knight)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 3]], [\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"tell... | {"split": "train", "index": 16332} |
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, Zoey, Luke, Matthew, and Jack. According to Liam, \"it is not the case that (Matthew is a hero if and only if (if Jack is a villain then Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"not\", [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-tru... | {"split": "train", "index": 16333} |
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, Olivia, Lucas, Joseph, and Sebastian. Grace was heard saying, \"(if (Lucas is a fool and Lucas is a sage and Sebastian is a sage) then (Joseph is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"lying\", 2]], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0... | {"split": "train", "index": 16334} |
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, Abigail, Charlotte, Matthew, and Ava. David noted, \"if (if Charlotte is a pioneer then (if Ava is a pioneer then Ava is a laggard)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 4]]], [\"or\", [\"and\", [\"<=>\", [\"ly... | {"split": "train", "index": 16335} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Michael, Penelope, Chloe, Emily, and Joseph. Michael was heard saying, \"Emily is an egoist or Penelope is an egoist or (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"or\", [\"lying\", 3], [\"lying\", 1], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 0], ... | {"split": "train", "index": 16336} |
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, Olivia, Lucas, Mia, and Sebastian. Chloe noted, \"if Mia is a knave then Sebastian is a knave\". Olivia stated, \"((if Mia is a knight then Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"tell... | {"split": "train", "index": 16337} |
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, Avery, Sebastian, Matthew, and Riley. \"(it is not the case that (Avery is an angel or Sebastian is a devil or Riley is a devil)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 16338} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lily, Abigail, Emily, Owen, and Victoria. Lily asserted: \"it is not the case that ((Victoria is an angel if and only if Victoria is a devil) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 4]]], [\"lying\", 4], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4... | {"split": "train", "index": 16339} |
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, Elizabeth, Mia, Amelia, and Jackson. James commented, \"Elizabeth is a knave\". Elizabeth was heard saying, \"((if Jackson is a knight then Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"lying\", 4]], [\"o... | {"split": "train", "index": 16340} |
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: Abigail, Victoria, Aiden, Luke, and Ethan. Abigail said that if Victoria is a sinner then ((Ethan is a sinner and Luke is a saint) and (Aiden is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"->\", [\"lying\", 1], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 16341} |
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, Liam, Grace, Ella, and Sebastian. Henry noted, \"(it is not the case that (Ella is a fool and Liam is a fool and Sebastian is a sage)) and ((if Liam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]... | {"split": "train", "index": 16342} |
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, Avery, and Sebastian. Evelyn told you that (it is not the case that (Sofia is an angel)) or ((Evelyn is an angel and Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"not\", [\"or\", [\"lying\", 2],... | {"split": "train", "index": 16343} |
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, Sebastian, Ethan, Matthew, and Ella. Oliver stated, \"((Sebastian is a sage or Ella is a sage or Matthew is a sage) and (Oliver is a sage and Ethan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"an... | {"split": "train", "index": 16344} |
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: Luke, Samuel, Penelope, Charlotte, and Lucas. As Luke put it, \"it is not the case that ((Lucas is a knight and Charlotte is a knight) or (Luke is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]]], [\"telling-trut... | {"split": "train", "index": 16345} |
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: James, Mia, Mason, Jackson, and Sofia. James commented, \"(it is not the case that (Mia is a sinner)) if and only if (it is not the case that (if Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 16346} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sophia, Logan, Samuel, Emma, and Penelope. According to Sophia, \"((Penelope is a villain and Emma is a villain and Sophia is a hero) or (Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"->\"... | {"split": "train", "index": 16347} |
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, Daniel, Aria, Lucas, and Alexander. \"((if Lucas is a saint then Lucas is a sinner) if and only if (Daniel is a saint if and only if Lucas is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"ly... | {"split": "train", "index": 16348} |
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, Henry, Amelia, Jack, and Noah. According to Emma, \"((if Amelia is a sage then Jack is a fool) and (Henry is a sage) and (Noah is a fool)) or (it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [... | {"split": "train", "index": 16349} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Mason, Emma, Isabella, and Emily. Riley said, \"Emma is a pioneer if and only if (Riley is a pioneer if and only if (Emily is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 2]]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2]... | {"split": "train", "index": 16350} |
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, Noah, Ethan, Ella, and Avery. Chloe said that ((Noah is a knave) if and only if (Ella is a knight and Ethan is a knight)) if and only if ((Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\",... | {"split": "train", "index": 16351} |
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, Logan, Daniel, Oliver, and Lucas. Sebastian asserted: \"if (if (Oliver is a saint if and only if Logan is a saint) then (Lucas is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]],... | {"split": "train", "index": 16352} |
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, Owen, Ava, Isabella, and Emma. Avery commented, \"Isabella is a pioneer\". Owen was heard saying, \"if ((Avery is a laggard and Ava is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", ... | {"split": "train", "index": 16353} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Logan, Aurora, Elizabeth, and Samuel. \"((Logan is a knight or Elizabeth is a knave) and (Logan is a knight and Samuel is a knight and Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\",... | {"split": "train", "index": 16354} |
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: Owen, Harper, Aurora, Oliver, and Sebastian. Owen expressed that (it is not the case that (Oliver is a pioneer)) if and only if (Oliver is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"not\", [\"->\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]]], [\"<=... | {"split": "train", "index": 16355} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Joseph, Aria, Isabella, and Harper. Emma said, \"((Aria is a laggard if and only if Emma is a pioneer) and (Emma is a laggard) and (Harpe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 16356} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Chloe, Abigail, Aiden, Penelope, and Lily. Chloe expressed that if (if (if Chloe is a pioneer then Lily is a pioneer) then (if Chloe is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telli... | {"split": "train", "index": 16357} |
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: Victoria, Riley, Penelope, James, and Zoey. Victoria said that if (Zoey is a villain if and only if (if Penelope is a villain then James is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"->\", [\"te... | {"split": "train", "index": 16358} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Harper, Ella, Amelia, Evelyn, and Noah. According to Harper, \"(Noah is a devil or (Ella is an angel) or (if Evelyn is an angel then Amelia is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]]... | {"split": "train", "index": 16359} |
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, Alexander, Evelyn, Riley, and Benjamin. Olivia told you that (it is not the case that (Alexander is an altruist or Riley is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"not\", [\"and\", [... | {"split": "train", "index": 16360} |
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: Isabella, Liam, Owen, Zoey, and Mia. \"((Mia is a pioneer and Liam is a laggard) if and only if (Owen is a pioneer)) if and only if Owen is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 16361} |
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: Lucas, Amelia, Alexander, Emma, and Jack. Lucas told you that (it is not the case that (Lucas is a knight or Amelia is a knight or Jack is a knight))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 4], [\"and\", [\"lying\", 2],... | {"split": "train", "index": 16362} |
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, Penelope, Elizabeth, Avery, and Lucas. Ella asserted: \"it is not the case that ((Elizabeth is a knave) and (Ella is a knight and Avery is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"and\", [\"lying... | {"split": "train", "index": 16363} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ella, Sebastian, Chloe, Olivia, and Alexander. \"it is not the case that (if (Olivia is a sage if and only if Alexander is a sage) then (Chloe is a sage or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"an... | {"split": "train", "index": 16364} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Daniel, Joseph, Michael, and Sofia. \"it is not the case that ((if Sofia is an egoist then Isabella is an altruist) if and only if (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 16365} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, Abigail, Aurora, Sebastian, and William. Penelope asserted: \"it is not the case that (it is not the case that (Abigail is a sinner and Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [... | {"split": "train", "index": 16366} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Benjamin, James, Lucas, Mia, and Harper. \"if (if Lucas is a saint then (Benjamin is a saint if and only if Harper is a sinner)) then (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 1]]]], [\"and\", [\"telling-truth\", 3... | {"split": "train", "index": 16367} |
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, Luke, Zoey, Aurora, and Sofia. Daniel noted, \"((if Aurora is a sinner then Sofia is a saint) and (Zoey is a saint and Zoey is a sinner and L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 16368} |
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: Samuel, Olivia, Avery, James, and Victoria. \"Victoria is a sage and (if (Olivia is a fool if and only if Victoria is a fool) then (Victoria is a fool if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"or\", [\"telling-tr... | {"split": "train", "index": 16369} |
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, Jackson, Mia, Noah, and Benjamin. Jacob was heard saying, \"((Noah is a villain if and only if Noah is a hero) or (Jackson is a hero and Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lyin... | {"split": "train", "index": 16370} |
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, Mason, Michael, Logan, and Ella. \"Logan is a knave,\" Zoey declared. As Mason put it, \"it is not the case that (if Michael is a knave then (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", ... | {"split": "train", "index": 16371} |
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, Amelia, Isabella, Scarlett, and Matthew. Sofia said that ((Isabella is a knave or Isabella is a knight) and (Scarlett is a knight if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"lying\", 3], [\"an... | {"split": "train", "index": 16372} |
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, Benjamin, Sebastian, Grace, and Jackson. In a statement by Sofia: \"(if (Grace is a knight or Benjamin is a knave or Benjamin is a knight) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 1]]]], [\"... | {"split": "train", "index": 16373} |
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, Mason, Emily, Oliver, and Aiden. Noah remarked, \"Emily is a saint\". According to Mason, \"Oliver is a saint\". Emily noted, \"Oliver is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 3], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 16374} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: James, Henry, Daniel, Isabella, and Zoey. James noted, \"Zoey is a sage\". \"((James is a sage) and (Isabella is a fool and Zoey is a sage and Daniel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"->\", [\"l... | {"split": "train", "index": 16375} |
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, Olivia, Ethan, Mia, and Evelyn. According to Jackson, \"(if (Ethan is an altruist and Evelyn is an altruist and Jackson is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]]... | {"split": "train", "index": 16376} |
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, Noah, Owen, Zoey, and Joseph. In William's words: \"Noah is a sinner\". \"((Owen is a sinner) and (Joseph is a sinner)) or (it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]]], [\"or\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 16377} |
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: Emily, David, Daniel, Ava, and Samuel. In a statement by Emily: \"((Samuel is an altruist) or (David is an egoist or Ava is an egoist)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"->\",... | {"split": "train", "index": 16378} |
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: Jacob, Isabella, Aurora, Ella, and Joseph. Jacob commented, \"Aurora is a fool\". Isabella was heard saying, \"it is not the case that ((Joseph is a sage i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"lying\", 2], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\"... | {"split": "train", "index": 16379} |
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, Victoria, Sofia, Daniel, and Logan. Noah commented, \"Victoria is a pioneer if and only if ((Daniel is a pioneer and Sofia is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 16380} |
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, Scarlett, Harper, Avery, and Mason. As Amelia put it, \"(if (Avery is a saint and Mason is a saint and Harper is a sinner) then (Avery is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telli... | {"split": "train", "index": 16381} |
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: Emma, Olivia, Benjamin, Liam, and Ethan. Emma commented, \"if (if (Liam is a sinner or Ethan is a saint) then (Ethan is a saint and Emma is a saint a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 2]]], [\"lying\", 4]], [\"or\", [\"->\", [\"->\", [\"lying\", 0], ... | {"split": "train", "index": 16382} |
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, Noah, Zoey, Logan, and Harper. As Ethan put it, \"it is not the case that ((Noah is a hero and Noah is a villain) or (Harper is a villain if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\... | {"split": "train", "index": 16383} |
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, Henry, Amelia, Oliver, and Riley. \"((Henry is an altruist and Oliver is an altruist and Amelia is an altruist) or (Luke is an altruist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\",... | {"split": "train", "index": 16384} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Oliver, Sophia, Aria, and Ella. Samuel said, \"Aria is a knight.\" Oliver said, \"it is not the case that ((Samuel is a knave) and (Samuel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\... | {"split": "train", "index": 16385} |
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: Emma, Elizabeth, Chloe, Aurora, and Oliver. Emma remarked, \"Aurora is a sinner\". In a statement by Elizabeth: \"((Emma is a sinner or Chloe is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 16386} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jacob, Mason, James, Chloe, and Avery. Jacob said, \"if Avery is a laggard then Avery is a pioneer.\" \"if ((Avery is a pioneer and James is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 16387} |
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: Riley, Jacob, Chloe, Ava, and Sebastian. \"(if Jacob is a hero then (Sebastian is a hero or Riley is a hero)) or Jacob is a hero,\" Riley declared. \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 1]], [\"lying\", 3], [\"->\", [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 1], [... | {"split": "train", "index": 16388} |
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, Ella, James, Liam, and Aurora. According to Evelyn, \"Liam is an egoist if and only if ((Liam is an altruist) and Ella is an egoist)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"<=>\", [\"lying\", 3], [\"and\", [\"not\", [\"lying\", 3]], [\"lying\", 1]]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"tel... | {"split": "train", "index": 16389} |
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: Jack, Emma, Abigail, Ella, and Aurora. Jack commented, \"((Ella is a villain and Aurora is a hero and Emma is a hero) and (Ella is a villain if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\",... | {"split": "train", "index": 16390} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, Ava, Penelope, Sofia, and David. \"Sofia is a sage if and only if (it is not the case that (Ava is a sage if and only if David is a fool)),\" El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"not\", [\"lying\", 1]]], [\"lying... | {"split": "train", "index": 16391} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, Scarlett, Sophia, Ella, and Oliver. \"(Ella is a saint if and only if (Sophia is a sinner if and only if Ella is a saint)) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]... | {"split": "train", "index": 16392} |
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: Elizabeth, Lily, Mia, Abigail, and Jacob. Elizabeth asserted: \"Lily is a sinner or ((Lily is a saint or Mia is a saint) or (Elizabeth is a sinner)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 3],... | {"split": "train", "index": 16393} |
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, Daniel, Aria, Lily, and Aurora. William said, \"if (it is not the case that (William is a saint if and only if Daniel is a sinner)) then ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"lying\", 0... | {"split": "train", "index": 16394} |
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, Jacob, Olivia, Penelope, and Michael. \"((if Jacob is a sinner then Sophia is a saint) and (Olivia is a saint and Sophia is a saint)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"... | {"split": "train", "index": 16395} |
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, Owen, Amelia, Harper, and Daniel. Emily remarked, \"(Amelia is a devil and (Harper is an angel) and (Amelia is a devil)) and Owen is a devil\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 1]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 0], [\"telling-truth\",... | {"split": "train", "index": 16396} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Luke, Lily, Evelyn, Emily, and Liam. Luke said that if (Lily is a devil and Emily is an angel) then ((Liam is an angel) if and only if (if Luke is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"an... | {"split": "train", "index": 16397} |
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, Jacob, Aurora, Lucas, and Aiden. Sebastian told you that ((Aiden is a devil or Aurora is an angel) or (Sebastian is an angel and Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 2]], [\"->\", [\"and\", [\"not\", [\"telling-tru... | {"split": "train", "index": 16398} |
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: Olivia, William, Lily, Harper, and Aria. \"Aria is a saint,\" Olivia claimed. William asserted: \"Aria is a sinner\". Lily remarked, \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"telling-truth\", 4], [\"lying\", 4], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 0]]]], [\"<=... | {"split": "train", "index": 16399} |
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