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 pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, James, Sofia, Logan, and Noah. Henry said that ((James is a laggard or Henry is a pioneer or Noah is a pioneer) and (Noah is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"telling-trut... | {"split": "train", "index": 15900} |
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, Alexander, Isabella, Aurora, and Mia. In Jack's words: \"((Isabella is a saint) or (Mia is a saint)) or ((Isabella is a sinner and Alexander is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 1]]... | {"split": "train", "index": 15901} |
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: Aria, Sebastian, Elizabeth, Liam, and Charlotte. Aria commented, \"((if Sebastian is a saint then Liam is a saint) if and only if (Liam is a sinner a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 1], [\"->\", [\"lying\", 2],... | {"split": "train", "index": 15902} |
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: Matthew, Owen, Aiden, Scarlett, and Mia. \"(Scarlett is a hero) or ((Owen is a villain) if and only if (Owen is a hero if and only if Mia is a hero))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"lying\", 4], [\"or\", [\"lying\", 4], [\"or\", [\"not\", [\... | {"split": "train", "index": 15903} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Aria, Henry, Sebastian, and Lily. In a statement by Matthew: \"Henry is an angel if and only if (it is not the case that (if Lily is a devil t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lyi... | {"split": "train", "index": 15904} |
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: Liam, Charlotte, Scarlett, Lucas, and Joseph. Liam expressed that if ((Lucas is a sinner if and only if Charlotte is a sinner) if and only if (Charlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"and\... | {"split": "train", "index": 15905} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Aria, Alexander, Owen, and Chloe. \"Owen is a devil if and only if ((if Penelope is an angel then Alexander is an angel) and (Chloe is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"<=>\", [\"lying\", 3], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"lyin... | {"split": "train", "index": 15906} |
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, Victoria, Logan, Jack, and Daniel. Joseph noted, \"it is not the case that (if (Jack is a knave) then (Joseph is a knight or Victoria is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4... | {"split": "train", "index": 15907} |
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, David, Amelia, Evelyn, and Luke. Samuel said, \"if (it is not the case that (David is a knight and Amelia is a knave and Amelia is a knight))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]... | {"split": "train", "index": 15908} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Michael, Owen, Jackson, and Benjamin. \"((Owen is a pioneer or Michael is a laggard) and Owen is a pioneer) if and only if (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"lying\", 3], [\"... | {"split": "train", "index": 15909} |
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: David, Owen, Ethan, Emily, and Michael. David told you that Ethan is a villain and (if (if Owen is a hero then Owen is a villain) then (Owen is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 354, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"lying\", 4]], [\"telling-truth\", 3], [\"not\", [\"telling-truth... | {"split": "train", "index": 15910} |
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, Sofia, Aurora, Jackson, and Evelyn. Noah commented, \"if ((Evelyn is a villain) or Sofia is a villain) then (it is not the case that (Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 355, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 1]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 0], [\"not\", [\"tellin... | {"split": "train", "index": 15911} |
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: Mason, Aurora, Avery, Oliver, and Henry. In Mason's words: \"(Avery is a saint) or (if (Avery is a sinner and Henry is a saint) then (Avery is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 356, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"not\", [\"lying\", 4]], [... | {"split": "train", "index": 15912} |
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: Lily, Mia, Aurora, Abigail, and Olivia. \"Abigail is a hero,\" Lily declared. \"(Lily is a villain) if and only if (if (Mia is a hero or Abigail is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 357, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3]]]], ... | {"split": "train", "index": 15913} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lucas, James, Joseph, Samuel, and Logan. \"((James is a devil if and only if Samuel is an angel) if and only if (if James is an angel then Logan is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 358, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"lyi... | {"split": "train", "index": 15914} |
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, Charlotte, Abigail, Scarlett, and Daniel. Emily told you that (it is not the case that (Scarlett is a sage and Abigail is a fool and Daniel is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 359, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\... | {"split": "train", "index": 15915} |
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, Jacob, Harper, Logan, and Liam. \"if (if (if Harper is a sinner then Harper is a saint) then (Jacob is a saint or Riley is a saint)) then ((Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"tell... | {"split": "train", "index": 15916} |
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: Sophia, Liam, Mason, Emily, and Jacob. According to Sophia, \"if ((Mason is a fool and Jacob is a fool and Emily is a fool) or (Emily is a sage) or (Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 361, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 15917} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Joseph, Emma, Zoey, and Penelope. William said, \"((Emma is a villain or Emma is a hero) if and only if (William is a hero if and only if Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 362, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\... | {"split": "train", "index": 15918} |
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: Elizabeth, Evelyn, Mason, Jacob, and Amelia. Elizabeth said that (if (Jacob is a villain and Amelia is a villain) then (Jacob is a villain or Mason i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 363, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]],... | {"split": "train", "index": 15919} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Sophia, Alexander, Daniel, and Olivia. William asserted: \"((Daniel is a villain) if and only if (Olivia is a hero or Sophia is a hero or Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 364, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]... | {"split": "train", "index": 15920} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Ella, Penelope, Zoey, and Henry. Ethan commented, \"Penelope is a knight\". Ella noted, \"Ethan is a knave\". Penelope said that Ella is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 1], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-t... | {"split": "train", "index": 15921} |
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: Charlotte, Emily, Aurora, Liam, and Elizabeth. Charlotte was heard saying, \"if ((Emily is an egoist if and only if Liam is an egoist) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 366, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\... | {"split": "train", "index": 15922} |
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: Ethan, Lucas, Emma, Daniel, and Alexander. In Ethan's words: \"it is not the case that ((if Daniel is a fool then Ethan is a sage) or (Emma is a fool or Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 367, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 2]]], [\"<=>\", [... | {"split": "train", "index": 15923} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Chloe, Owen, Zoey, and Aiden. Jackson said that if Aiden is a pioneer then (if Aiden is a laggard then (Owen is a pioneer if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 368, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"->\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"lying\", 0... | {"split": "train", "index": 15924} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jackson, Michael, Luke, Harper, and Emma. \"((Michael is a villain) if and only if (if Emma is a villain then Emma is a hero)) if and only if (it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 369, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"not\", [\"tel... | {"split": "train", "index": 15925} |
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: Luke, Logan, Aria, Ethan, and Amelia. Luke stated, \"it is not the case that (it is not the case that (if Amelia is a fool then Amelia is a sage))\". Logan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 370, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"lying\", 3]], [\"lying\", 1], [\"->\", [\"lying\", 0], [\... | {"split": "train", "index": 15926} |
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, Harper, Riley, Mason, and Emily. Daniel told you that ((Emily is a knave) if and only if Emily is a knave) or (it is not the case that (Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 371, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]], [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\... | {"split": "train", "index": 15927} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Isabella, Ella, Henry, William, and Daniel. \"if William is a hero then (it is not the case that (if William is a villain then Henry is a hero)),\" I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 372, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"lying\", 3], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-tr... | {"split": "train", "index": 15928} |
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: Ella, Henry, Aiden, Penelope, and Noah. Ella was heard saying, \"Henry is an angel\". Henry noted, \"(it is not the case that (if Aiden is a devil then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 373, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth... | {"split": "train", "index": 15929} |
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: Michael, Henry, Sebastian, Jackson, and Daniel. Michael said that (it is not the case that (Jackson is a knight if and only if Sebastian is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 374, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"not\", [\"not\", [\"lying\", 3]]]], [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", 4], [... | {"split": "train", "index": 15930} |
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, Avery, Lucas, Aurora, and Ella. \"((Elizabeth is a pioneer if and only if Lucas is a laggard) and (if Ella is a laggard then Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 375, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\", 0]], [\"and\", [\"te... | {"split": "train", "index": 15931} |
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, Sofia, Luke, Ava, and Abigail. Owen commented, \"Luke is a sinner\". Sofia commented, \"if (Ava is a sinner or (Luke is a sinner and Owen is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 376, \"statements\": [[\"lying\", 2], [\"->\", [\"or\", [\"lying\", 3], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 1], [... | {"split": "train", "index": 15932} |
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: James, Aurora, Aria, Lucas, and Harper. \"Lucas is an egoist,\" James claimed. \"it is not the case that ((Harper is an altruist) or Aria is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 377, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"lyin... | {"split": "train", "index": 15933} |
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: Sofia, Oliver, Victoria, Liam, and Aurora. \"Liam is a pioneer\" - Sofia. As Oliver put it, \"it is not the case that ((Victoria is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 378, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 0]]]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"no... | {"split": "train", "index": 15934} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Michael, Abigail, Emma, and Jackson. Ava asserted: \"it is not the case that (if (Jackson is a villain if and only if Abigail is a hero) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 379, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"lying\", 0], [\"lying\", 0], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 0... | {"split": "train", "index": 15935} |
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, Isabella, Evelyn, Henry, and Emma. Sofia said that ((Isabella is a fool and Evelyn is a fool) and (Henry is a sage and Evelyn is a sage and Isabella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 380, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"telling-trut... | {"split": "train", "index": 15936} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Joseph, Harper, Aiden, and Riley. In a statement by Matthew: \"((Matthew is a knight if and only if Joseph is a knight) if and only if (Harp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 381, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"tellin... | {"split": "train", "index": 15937} |
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: Luke, Ella, Charlotte, Matthew, and Penelope. Luke said that ((Penelope is a sinner or Penelope is a saint) or (Penelope is a sinner if and only if L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 382, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"te... | {"split": "train", "index": 15938} |
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: Victoria, Liam, Amelia, Jackson, and Sofia. Victoria noted, \"((Amelia is a knight and Liam is a knight) and (Victoria is a knight and Amelia is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 383, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"t... | {"split": "train", "index": 15939} |
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, Grace, Emily, Oliver, and Samuel. Sebastian was heard saying, \"if ((Sebastian is an egoist) and (Samuel is an egoist if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 384, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"... | {"split": "train", "index": 15940} |
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, Scarlett, Zoey, Sophia, and Mia. Aria told you that (Mia is a knight or (Sophia is a knave if and only if Zoey is a knave)) if and only if Mia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 385, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 15941} |
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, Jacob, Harper, Noah, and Luke. \"Noah is a fool,\" Amelia mentioned. \"if Amelia is a sage then Amelia is a fool,\" Jacob declared. Harper was hear... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 386, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"... | {"split": "train", "index": 15942} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ella, Evelyn, Jacob, Owen, and Riley. Ella was heard saying, \"it is not the case that ((if Riley is an altruist then Evelyn is an egoist) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 387, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 15943} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Daniel, Ava, Olivia, Isabella, and Abigail. Daniel commented, \"if (it is not the case that (Olivia is an egoist and Abigail is an altruist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [... | {"split": "train", "index": 15944} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Henry, Penelope, Sophia, and Matthew. Lucas was heard saying, \"((Matthew is a saint and Penelope is a sinner and Penelope is a saint) or (Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]],... | {"split": "train", "index": 15945} |
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: Samuel, Victoria, Elizabeth, James, and Sophia. Samuel expressed that (Victoria is a pioneer if and only if (Sophia is a pioneer)) or ((if Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"tel... | {"split": "train", "index": 15946} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Abigail, Emily, Elizabeth, Luke, and James. Abigail was heard saying, \"(James is an altruist) or ((Elizabeth is an altruist or James is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 4]]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\... | {"split": "train", "index": 15947} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Lucas, Victoria, Ava, and Emily. William expressed that (if (Emily is a fool and Victoria is a sage) then (Lucas is a fool or Victoria is a fool o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\",... | {"split": "train", "index": 15948} |
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: Lucas, Harper, Alexander, Ella, and Ava. Lucas asserted: \"if (it is not the case that (if Lucas is a hero then Ella is a hero)) then ((Ava is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 15949} |
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: Matthew, Sophia, Sebastian, Ava, and Amelia. Matthew commented, \"it is not the case that ((Amelia is a villain if and only if Ava is a hero) or (Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 15950} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Oliver, Victoria, Ella, Charlotte, and Harper. In Oliver's words: \"if (if (Harper is a villain or Victoria is a hero or Charlotte is a villain) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"->\... | {"split": "train", "index": 15951} |
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, Mia, James, Henry, and Sophia. William stated, \"Mia is a knave if and only if ((William is a knave) and (James is a knave) and (if James is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"<=>\", [\"lying\", 1], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 0], ... | {"split": "train", "index": 15952} |
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: Ethan, Sophia, Ava, Aiden, and Jacob. Ethan stated, \"(if (Sophia is a devil and Ava is an angel) then Aiden is an angel) and ((if Sophia is an angel t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]]... | {"split": "train", "index": 15953} |
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: Owen, David, Ava, Liam, and Benjamin. \"David is a knave and (it is not the case that (Benjamin is a knight and Ava is a knight)) and (Ava is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"and\", [\"lying\", 1], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"<=>\", [... | {"split": "train", "index": 15954} |
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, Isabella, Avery, Abigail, and Lily. Chloe said that ((Chloe is a pioneer and Avery is a laggard and Abigail is a pioneer) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 2], [\"tell... | {"split": "train", "index": 15955} |
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, Sebastian, Scarlett, Owen, and Logan. James asserted: \"Scarlett is a saint\". Sebastian said, \"((Scarlett is a saint and Owen is a saint) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"and\", [\"or\", [\"telli... | {"split": "train", "index": 15956} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Scarlett, Joseph, Jack, Isabella, and Ella. In a statement by Scarlett: \"((Isabella is an egoist) or (Jack is an egoist if and only if Jack is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"... | {"split": "train", "index": 15957} |
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, Evelyn, Isabella, Jacob, and Liam. Joseph said, \"(it is not the case that (Joseph is a sage if and only if Liam is a fool)) and ((Isabella is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]]], [\"not\", [\"and\", [\"and... | {"split": "train", "index": 15958} |
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, Oliver, Alexander, Lucas, and William. \"Oliver is a sage or ((William is a fool and Oliver is a sage) or (Alexander is a sage and Oliver is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [... | {"split": "train", "index": 15959} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Henry, Harper, Emma, and Mia. Benjamin expressed that Mia is a knight if and only if ((if Henry is a knight then Mia is a knight) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"lying\", 4], [\"and\", [\"or\", [\"te... | {"split": "train", "index": 15960} |
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: Liam, Aurora, Emily, Sebastian, and Lily. Liam said that if Sebastian is a knight then (if Aurora is a knave then (Emily is a knight if and only if L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 15961} |
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, Owen, Aiden, Matthew, and Abigail. Noah said that Owen is an angel and (Owen is a devil or (Matthew is a devil if and only if Abigail is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"tell... | {"split": "train", "index": 15962} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mason, Aurora, Luke, Samuel, and Amelia. Mason asserted: \"Aurora is an altruist\". \"Aurora is an altruist if and only if ((Aurora is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 15963} |
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, Aiden, Oliver, Alexander, and Ella. Evelyn was heard saying, \"((Ella is an angel or Oliver is an angel) and (Aiden is an angel or Ella is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"te... | {"split": "train", "index": 15964} |
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, Sophia, Michael, Lily, and Zoey. According to Sofia, \"((Sofia is a sage or Zoey is a fool or Lily is a fool) or (if Michael is a fool then Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"<=>\... | {"split": "train", "index": 15965} |
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: Mason, Chloe, Joseph, Henry, and Avery. Mason remarked, \"Joseph is a laggard\". Chloe said, \"Joseph is a laggard.\" Joseph commented, \"if ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"lying\", 2], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"lyin... | {"split": "train", "index": 15966} |
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, Aurora, David, Logan, and Amelia. Joseph told you that it is not the case that (if (Amelia is a knight or Logan is a knave) then (Aurora is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 1]]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 15967} |
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: Harper, Penelope, Ethan, William, and Daniel. Harper said, \"(it is not the case that (Penelope is a sinner or Harper is a saint or William is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"tel... | {"split": "train", "index": 15968} |
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, Harper, Olivia, Michael, and William. According to Scarlett, \"Olivia is a devil\". Harper commented, \"it is not the case that (if Michael i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]]]], [\"telling-truth\", 1], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 2],... | {"split": "train", "index": 15969} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Grace, Chloe, James, Jackson, and Logan. Grace expressed that (it is not the case that (Logan is an egoist if and only if Jackson is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"lying\", 2], [... | {"split": "train", "index": 15970} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Aiden, Grace, Daniel, and Jacob. Evelyn stated, \"if ((Jacob is a knave and Daniel is a knave and Jacob is a knight) if and only if (Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]]... | {"split": "train", "index": 15971} |
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, Ella, William, Grace, and Mia. In a statement by Noah: \"((Mia is a pioneer or Mia is a laggard or Ella is a laggard) and (William is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\",... | {"split": "train", "index": 15972} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Sebastian, Emma, Joseph, and Jackson. According to Emily, \"(Joseph is a knight and (if Emily is a knight then Emma is a knight)) and (it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\... | {"split": "train", "index": 15973} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sofia, Joseph, Victoria, Amelia, and Ella. \"(it is not the case that (Amelia is an altruist and Victoria is an altruist)) or Ella is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"->\", [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"ly... | {"split": "train", "index": 15974} |
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: Matthew, Ethan, Avery, Isabella, and Olivia. Matthew stated, \"(if (Matthew is a villain) then (Avery is a hero or Avery is a villain)) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 15975} |
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, Mia, Luke, Scarlett, and Noah. Sofia told you that ((Sofia is a sage if and only if Mia is a sage) if and only if (Mia is a fool or Noah is a fool o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and... | {"split": "train", "index": 15976} |
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, Jacob, Owen, Sebastian, and Samuel. Evelyn said that (Owen is a pioneer if and only if (Samuel is a pioneer or Sebastian is a laggard))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]]... | {"split": "train", "index": 15977} |
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: Noah, Riley, Oliver, William, and Victoria. \"((Oliver is an altruist or Victoria is an altruist) or (if Victoria is an altruist then William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"not\", [\"->\", [\"lyin... | {"split": "train", "index": 15978} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Grace, William, Charlotte, and Matthew. \"(Matthew is a saint or William is a sinner or (Charlotte is a saint or Grace is a sinner)) and Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 1], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"<=>\"... | {"split": "train", "index": 15979} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Isabella, Aurora, Lucas, Samuel, and Matthew. Isabella told you that (Lucas is a hero) or Lucas is a villain. In Aurora's words: \"if ((if Samuel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 2]], [\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 1]]], [\"and\", [\"<=... | {"split": "train", "index": 15980} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Ava, Penelope, Zoey, and Emily. Jackson stated, \"if ((Ava is a knight and Ava is a knave and Penelope is a knight) or (Emily is a knave or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 15981} |
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, Noah, Amelia, Zoey, and Harper. Emily said that (it is not the case that (Amelia is a sage)) if and only if (Amelia is a fool). As Noah put it, \"Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 3]], [\"not\"... | {"split": "train", "index": 15982} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Daniel, James, Sebastian, and Luke. Joseph remarked, \"Sebastian is a sinner\". \"((Joseph is a saint if and only if James is a sinner) or (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"lying\", 3], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 15983} |
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: Chloe, Abigail, Luke, Aiden, and Lily. Chloe was heard saying, \"it is not the case that ((Lily is a devil and Abigail is an angel) and (Lily is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 0]], ... | {"split": "train", "index": 15984} |
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, Jacob, Avery, James, and Zoey. In a statement by Matthew: \"if ((Matthew is a pioneer and James is a laggard) and (Zoey is a pioneer i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\"... | {"split": "train", "index": 15985} |
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: Owen, Ava, Avery, Michael, and Oliver. Owen said, \"if Michael is a knave then ((Ava is a knight if and only if Owen is a knight) if and only if (Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"->\", [\"lying\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"l... | {"split": "train", "index": 15986} |
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: Benjamin, Luke, Matthew, Ethan, and Amelia. \"Luke is a pioneer,\" Benjamin claimed. Luke expressed that ((Amelia is a laggard or Ethan is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 15987} |
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, Henry, Lily, Penelope, and Owen. \"(if (Owen is a saint) then (if Lily is a sinner then Lily is a saint)) if and only if Henry is a saint,\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 2]... | {"split": "train", "index": 15988} |
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, Logan, Lucas, Ella, and Jackson. Harper remarked, \"((if Lucas is a knave then Ella is a knight) if and only if (if Ella is a knave then Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"telling-truth\", 3], [\"-... | {"split": "train", "index": 15989} |
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: Lucas, Ella, Samuel, Jacob, and Harper. As Lucas put it, \"if (if (Jacob is a hero) then (Lucas is a hero and Ella is a villain)) then Samuel is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"lying\", 2]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-t... | {"split": "train", "index": 15990} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Aurora, William, Avery, and Aiden. Logan expressed that ((Aiden is a fool and Aurora is a fool and Logan is a sage) and (William is a sage) and (Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"lying\", 2], [\"and\", [\"... | {"split": "train", "index": 15991} |
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, Olivia, Riley, Lily, and Joseph. Jack stated, \"((Joseph is an altruist or Olivia is an egoist) if and only if (Riley is an altruist or O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 4... | {"split": "train", "index": 15992} |
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: Sofia, Noah, Charlotte, Emily, and James. Sofia remarked, \"it is not the case that (it is not the case that (Charlotte is a pioneer if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"lying\", 0], [\"lying\", 3], [\"or\", [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0... | {"split": "train", "index": 15993} |
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, Penelope, Sophia, Scarlett, and Riley. In Lucas's words: \"Scarlett is a knight\". \"(if (Lucas is a knave if and only if Scarlett is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 15994} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, James, Logan, Elizabeth, and Michael. \"Logan is a knave,\" Ethan declared. James commented, \"(Elizabeth is a knave or (Michael is a knave if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"or\", [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0... | {"split": "train", "index": 15995} |
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, Luke, Charlotte, Harper, and Ethan. Sebastian noted, \"Harper is a sage if and only if ((Ethan is a fool) and (Harper is a fool and Ethan is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"->... | {"split": "train", "index": 15996} |
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, Zoey, Charlotte, Lily, and Benjamin. William noted, \"if (it is not the case that (if Charlotte is a laggard then Lily is a laggard)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-tru... | {"split": "train", "index": 15997} |
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, Charlotte, Penelope, Olivia, and Aurora. Jacob told you that (if Olivia is an egoist then (Jacob is an altruist or Charlotte is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 1], [... | {"split": "train", "index": 15998} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Ella, Evelyn, Elizabeth, and Chloe. Aria stated, \"Evelyn is a hero\". According to Ella, \"if ((Ella is a villain) or (if Elizabeth is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1... | {"split": "train", "index": 15999} |
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