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 heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Sofia, Scarlett, Mason, and Owen. \"Sofia is a hero,\" James claimed. Sofia noted, \"((Sofia is a hero or Scarlett is a villain) and (Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 2]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 0], [\"tel... | {"split": "train", "index": 18500} |
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, Isabella, Avery, Henry, and Joseph. Riley noted, \"if (it is not the case that (Avery is a sinner and Henry is a sinner and Avery is a saint a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lyin... | {"split": "train", "index": 18501} |
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, David, Jack, Victoria, and Scarlett. Ethan asserted: \"(if Victoria is a knave then (if Scarlett is a knave then Ethan is a knight)) and (it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 18502} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Alexander, Chloe, Riley, and Mia. Aiden stated, \"(Mia is a knave or (Mia is a knight or Chloe is a knave or Mia is a knave or Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"not\", [\"and\",... | {"split": "train", "index": 18503} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Jacob, Henry, Noah, and Aiden. Ethan told you that Ethan is a saint if and only if (it is not the case that (Henry is a sinner if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>... | {"split": "train", "index": 18504} |
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, Aiden, Matthew, Owen, and Lily. As Olivia put it, \"((Aiden is an altruist or Olivia is an altruist or Lily is an egoist or Owen is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\... | {"split": "train", "index": 18505} |
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, Michael, Elizabeth, Daniel, and Jacob. As Olivia put it, \"((Daniel is a saint if and only if Michael is a saint) and (Daniel is a sinner and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\... | {"split": "train", "index": 18506} |
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: Amelia, Alexander, Scarlett, Aiden, and Victoria. \"it is not the case that (if Victoria is an egoist then (Scarlett is an egoist and Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 2], [\"lying\", 3]]]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"->\", [\"lying\", 0], [\"ly... | {"split": "train", "index": 18507} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sebastian, Ava, Amelia, Emma, and Benjamin. Sebastian told you that Ava is a laggard. Ava commented, \"((Benjamin is a laggard) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4]... | {"split": "train", "index": 18508} |
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: Sophia, Harper, Matthew, Joseph, and Daniel. \"Matthew is a knight,\" Sophia claimed. \"(if (Daniel is a knave) then (Daniel is a knight and Sophia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"not\"... | {"split": "train", "index": 18509} |
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, Sebastian, Emma, Oliver, and Jacob. Luke said that if ((Sebastian is a fool and Emma is a fool and Sebastian is a sage) or (Emma is a sage or Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 18510} |
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: Amelia, Mason, Owen, Riley, and James. In Amelia's words: \"(if (Amelia is a pioneer if and only if Riley is a pioneer) then (Mason is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"l... | {"split": "train", "index": 18511} |
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: Riley, Charlotte, Harper, Henry, and Logan. Riley expressed that ((Henry is an altruist if and only if Harper is an altruist) if and only if (H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"tellin... | {"split": "train", "index": 18512} |
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, Owen, Zoey, Elizabeth, and Jack. Benjamin was heard saying, \"Owen is a fool\". \"((Jack is a fool) if and only if (Jack is a fool and Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"and\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 18513} |
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, Ava, Noah, Mason, and Sebastian. According to Elizabeth, \"Mason is a hero\". Ava asserted: \"it is not the case that ((Mason is a hero) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 4]]]], [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 2]], \"solution\": [false, true, true, false, tru... | {"split": "train", "index": 18514} |
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: Owen, Ella, Ava, Scarlett, and Benjamin. Owen stated, \"Benjamin is a hero or (if (Owen is a villain) then (if Owen is a hero then Ella is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\... | {"split": "train", "index": 18515} |
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, Emily, Evelyn, Alexander, and Jack. Luke asserted: \"Jack is a fool\". Emily said that Jack is a fool. Evelyn said that ((Emily is a sage) or (Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"lying\", 4], [\"lying\", 4], [\"and\", [\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 0]], [\"lying\", 3], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"telling-truth\", 2]], [\"<... | {"split": "train", "index": 18516} |
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, Chloe, Emma, James, and Jack. In a statement by Mason: \"(Jack is a sinner or (Chloe is a saint and James is a sinner) or (if James is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth... | {"split": "train", "index": 18517} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jackson, Ava, Joseph, William, and Luke. Jackson remarked, \"if ((Luke is a sinner if and only if Joseph is a sinner) if and only if (if William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"tel... | {"split": "train", "index": 18518} |
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, Avery, Zoey, Michael, and Jacob. Benjamin said that Jacob is a pioneer if and only if ((Benjamin is a pioneer and Michael is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"<... | {"split": "train", "index": 18519} |
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, Aiden, Mia, Owen, and William. Elizabeth was heard saying, \"(Elizabeth is a pioneer or (Aiden is a pioneer) or (Aiden is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"te... | {"split": "train", "index": 18520} |
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, Daniel, Charlotte, Sophia, and Logan. In a statement by Penelope: \"Daniel is an angel or (it is not the case that (Charlotte is a devil or P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], ... | {"split": "train", "index": 18521} |
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: Mia, Elizabeth, Lily, Alexander, and Liam. As Mia put it, \"Liam is a laggard if and only if (Lily is a pioneer and (if Liam is a pioneer then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"lying\", 2], [\"<=>\", [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 4]], [\"telling-tru... | {"split": "train", "index": 18522} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Jackson, Lily, Joseph, and Luke. In Oliver's words: \"if (Luke is a knave and Luke is a knight) then (Joseph is a knight and (if Lily is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [... | {"split": "train", "index": 18523} |
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, James, Henry, Amelia, and David. In Aiden's words: \"Amelia is a hero\". In James's words: \"(it is not the case that (Henry is a villain and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"not\", [\"not\", [\"->\", [\"tel... | {"split": "train", "index": 18524} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Olivia, Liam, Aria, and Riley. Aurora was heard saying, \"((Riley is an angel and Olivia is an angel and Aria is a devil and Liam is a devil) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", ... | {"split": "train", "index": 18525} |
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, Mia, Henry, James, and Aria. Jacob said, \"Mia is an egoist.\" \"Henry is an egoist,\" Mia mentioned. \"(it is not the case that (Aria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"lying\", 1], [\"lying\", 2], [\"<=>\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2]... | {"split": "train", "index": 18526} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Grace, Riley, Samuel, and Amelia. \"((Grace is a fool if and only if Riley is a sage) and (Amelia is a sage) and (Grace is a fool if and only if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"o... | {"split": "train", "index": 18527} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Abigail, Jack, Charlotte, and Luke. Jacob asserted: \"((Abigail is a hero or Jack is a hero or Abigail is a villain) if and only if (Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]]], [\"->\", [\"l... | {"split": "train", "index": 18528} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Ella, Mia, Henry, and Mason. Grace asserted: \"Mason is a fool\". \"(Mason is a fool) if and only if ((Ella is a sage and Mia is a sage and Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"tel... | {"split": "train", "index": 18529} |
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, Jacob, Noah, Sebastian, and Chloe. Isabella told you that it is not the case that (Chloe is a sage). Jacob noted, \"(Jacob is a sage and Noah is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"te... | {"split": "train", "index": 18530} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Olivia, Amelia, Penelope, Logan, and Alexander. \"Logan is a devil if and only if ((Alexander is a devil if and only if Olivia is an angel) and (Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"<=>\", [\"lying\", 3], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying... | {"split": "train", "index": 18531} |
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, Mason, Mia, and Ethan. \"(if (Mason is an altruist) then David is an altruist) if and only if ((Mason is an egoist or David is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 0]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"l... | {"split": "train", "index": 18532} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Daniel, Abigail, Sophia, Oliver, and Lily. \"Abigail is a fool or (Lily is a sage if and only if (if Lily is a fool then Lily is a sage))\" - Daniel. \"(Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 3]], [\"lying\", 0], [\"<=>\", [\"->... | {"split": "train", "index": 18533} |
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: Daniel, Luke, Owen, Emma, and Liam. Daniel commented, \"it is not the case that ((Emma is a devil if and only if Owen is an angel) and (if Liam is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"lying\", 3], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"or\", [\"l... | {"split": "train", "index": 18534} |
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: Samuel, Mia, Chloe, Aurora, and Aiden. In a statement by Samuel: \"if (if (Chloe is an egoist) then (Chloe is an egoist if and only if Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 18535} |
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, Sofia, Aiden, Luke, and Chloe. Logan asserted: \"((Chloe is a sage and Chloe is a fool and Sofia is a fool) or (Sofia is a fool) or Chloe is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\... | {"split": "train", "index": 18536} |
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, Zoey, Lily, Abigail, and Chloe. Liam told you that if (if (if Chloe is a knight then Zoey is a knave) then (Chloe is a knight)) then Liam is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]], [\"not\", [\"->\", [\... | {"split": "train", "index": 18537} |
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: Chloe, Michael, Evelyn, Sofia, and Grace. In Chloe's words: \"(if (Chloe is a sinner) then (Grace is a saint or Evelyn is a saint)) and ((if Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3]... | {"split": "train", "index": 18538} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Oliver, Michael, Jack, Sophia, and Lucas. Oliver expressed that it is not the case that ((Michael is a hero or Oliver is a hero or Lucas is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"not\",... | {"split": "train", "index": 18539} |
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: Grace, Michael, Harper, Oliver, and Joseph. Grace expressed that Harper is a pioneer. Michael said that (Grace is a laggard if and only if (Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 0], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\"... | {"split": "train", "index": 18540} |
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: Isabella, Liam, Avery, Daniel, and Grace. Isabella stated, \"(it is not the case that (Grace is a devil and Avery is a devil and Isabella is an angel))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]... | {"split": "train", "index": 18541} |
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, Sophia, Scarlett, Michael, and Harper. Evelyn said that ((Harper is a devil) or Sophia is a devil or (Sophia is a devil or Sophia is an angel o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 1], [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\... | {"split": "train", "index": 18542} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Daniel, Logan, Joseph, and Ava. In a statement by Avery: \"Daniel is a saint\". Daniel expressed that it is not the case that (Avery is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"not\", [\"lying\", 1]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]],... | {"split": "train", "index": 18543} |
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: Zoey, Abigail, Lucas, Aurora, and Charlotte. Zoey told you that (if (Aurora is a saint or Charlotte is a saint or Lucas is a sinner or Aurora is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 18544} |
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, Emily, Jacob, Zoey, and Scarlett. According to Jack, \"Emily is an egoist and ((Jacob is an egoist if and only if Zoey is an altruist) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 18545} |
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, Emma, Henry, Lucas, and Amelia. Ethan stated, \"Amelia is a devil and Lucas is a devil and (it is not the case that (Ethan is a devil))\". \"Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"and\", [\"lying\", 4], [\"lying\", 3], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 18546} |
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, Lucas, Olivia, Scarlett, and Ava. Chloe said, \"(Lucas is a laggard or (Ava is a laggard and Ava is a pioneer) or (if Lucas is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]... | {"split": "train", "index": 18547} |
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: Evelyn, Jacob, Chloe, Penelope, and Lucas. Evelyn said that ((Lucas is a sinner and Penelope is a saint) if and only if (Chloe is a sinner)) and (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"... | {"split": "train", "index": 18548} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emma, Sophia, Liam, Mason, and Ava. Emma told you that (if (Mason is a hero or Liam is a villain) then (Sophia is a hero if and only if Liam is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-trut... | {"split": "train", "index": 18549} |
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, Amelia, Alexander, Emma, and Abigail. Jacob asserted: \"if (it is not the case that (Abigail is an egoist if and only if Jacob is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 18550} |
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: James, Emily, Michael, Ethan, and Mason. James expressed that if Mason is a villain then Emily is a villain. Emily said, \"Michael is a hero.\" \"((M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"->\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 18551} |
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, Charlotte, Mason, Victoria, and Evelyn. Scarlett stated, \"Charlotte is a saint\". Charlotte was heard saying, \"Victoria is a saint and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-trut... | {"split": "train", "index": 18552} |
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: Ava, Logan, James, Sofia, and Avery. \"((if Sofia is a sinner then Avery is a saint) or (Logan is a sinner if and only if Avery is a saint) or (Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3... | {"split": "train", "index": 18553} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Chloe, Elizabeth, Oliver, and Samuel. Michael was heard saying, \"Elizabeth is a sage if and only if (it is not the case that (Chloe is a sage))\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"not\", [\"lying\", 1]]]], [\"->\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-t... | {"split": "train", "index": 18554} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Benjamin, Samuel, Noah, and William. \"if (if (Benjamin is a knave if and only if Charlotte is a knight) then (Noah is a knave if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"te... | {"split": "train", "index": 18555} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Henry, Logan, Jack, Matthew, and Jacob. Henry said, \"Jack is a devil and (Jack is an angel if and only if (Matthew is an angel or Jack is a devil or L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 18556} |
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, Emma, Scarlett, Lily, and Avery. Benjamin expressed that ((Emma is a laggard and Emma is a pioneer and Scarlett is a laggard and Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 3]], [\"telling-truth\"... | {"split": "train", "index": 18557} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sophia, Sebastian, Grace, Zoey, and Aria. Sophia said that ((Grace is an angel if and only if Sebastian is an angel) if and only if (Grace is a devil o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"not\", [\"telling-truth\",... | {"split": "train", "index": 18558} |
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, Avery, Matthew, Michael, and Penelope. As Jackson put it, \"if (if (Penelope is a pioneer if and only if Michael is a pioneer) then Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 18559} |
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, Liam, Harper, Abigail, and Ethan. Lucas commented, \"if (Liam is a devil) then (it is not the case that (Ethan is a devil))\". \"(Ethan is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [... | {"split": "train", "index": 18560} |
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, Jack, Joseph, Aria, and Olivia. In a statement by Samuel: \"((if Jack is a sage then Jack is a fool) and (Aria is a fool if and only if Olivia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"and\... | {"split": "train", "index": 18561} |
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, Emily, Alexander, Chloe, and Penelope. \"((Penelope is a fool) if and only if (Alexander is a sage and Chloe is a sage)) if and only if (if (if Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 18562} |
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: Penelope, William, Sophia, Jack, and Matthew. \"it is not the case that (William is a pioneer or (Matthew is a pioneer and Jack is a pioneer an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\", [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 18563} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Penelope, Emily, Jack, Abigail, and Benjamin. Penelope stated, \"it is not the case that ((Emily is a sage or Benjamin is a sage or Jack is a sage) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\... | {"split": "train", "index": 18564} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Joseph, Victoria, Riley, Mason, and William. Joseph expressed that if ((Mason is a pioneer) if and only if (Victoria is a pioneer)) then (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"not\", [\"telling-t... | {"split": "train", "index": 18565} |
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: Amelia, William, Alexander, Owen, and Charlotte. Amelia expressed that Alexander is an altruist. \"(Alexander is an altruist or (if Charlotte i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telli... | {"split": "train", "index": 18566} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Matthew, Harper, Ethan, Zoey, and Scarlett. According to Matthew, \"((if Ethan is an altruist then Zoey is an altruist) and Ethan is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-... | {"split": "train", "index": 18567} |
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: Aiden, Aurora, Aria, Zoey, and Sebastian. Aiden noted, \"if ((if Aria is an angel then Sebastian is an angel) and (Aiden is an angel if and only if Seb... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"lyi... | {"split": "train", "index": 18568} |
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, Elizabeth, Mia, Scarlett, and Ella. \"Elizabeth is a sage or (if (if Elizabeth is a sage then Mia is a sage) then (Ethan is a sage or Elizabeth is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4]]]], [\"and\", [\... | {"split": "train", "index": 18569} |
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, Chloe, Abigail, Elizabeth, and Michael. \"(it is not the case that (if Elizabeth is a pioneer then Emma is a pioneer)) or ((Elizabeth is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 18570} |
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, Isabella, Jackson, Penelope, and Avery. In a statement by Ethan: \"if ((if Ethan is a knight then Jackson is a knave) and (Ethan is a knight o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\... | {"split": "train", "index": 18571} |
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, Mia, Lucas, Aria, and Lily. Ella was heard saying, \"((Lily is an angel) or (Lucas is an angel or Ella is an angel or Mia is an angel or Aria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling... | {"split": "train", "index": 18572} |
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, Victoria, Lily, Zoey, and Oliver. \"Zoey is an egoist,\" Evelyn declared. In Victoria's words: \"Lily is an altruist\". Lily said, \"(i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"lying\", 3], [\"telling-truth\", 2], [\"and\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\... | {"split": "train", "index": 18573} |
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, Ethan, Jacob, William, and Penelope. Sebastian said, \"((Jacob is a saint if and only if William is a sinner) or (William is a saint and P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 2]... | {"split": "train", "index": 18574} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Sebastian, Emma, Henry, and Zoey. Sofia remarked, \"Sofia is a saint and ((Zoey is a sinner if and only if Emma is a saint) and Sebastian is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 1]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3],... | {"split": "train", "index": 18575} |
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: Avery, Jacob, Evelyn, Ella, and Luke. Avery told you that Evelyn is a villain. Jacob said, \"if ((Jacob is a hero and Luke is a villain and Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"lying\", 2], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\",... | {"split": "train", "index": 18576} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, Joseph, Michael, Sophia, and Daniel. Jack said that it is not the case that (if (if Sophia is a pioneer then Daniel is a laggard) then (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 18577} |
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: Aria, Amelia, Sebastian, Zoey, and Aurora. According to Aria, \"((Amelia is a devil and Amelia is an angel) if and only if (Amelia is an angel or Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]]]], [\"... | {"split": "train", "index": 18578} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Zoey, Scarlett, Liam, and Noah. Elizabeth expressed that it is not the case that ((Liam is a knight if and only if Scarlett is a knight) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 2]]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 18579} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Penelope, Emma, Henry, and Logan. Grace said, \"Logan is a knave if and only if Henry is a knight.\" In Penelope's words: \"((if Emma is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"lying\", 3], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 18580} |
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: Lucas, David, Liam, Abigail, and Michael. \"if ((Abigail is an altruist) if and only if (Abigail is an egoist)) then (if (if David is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"not\", [\"or\", [\"lying\", 3]... | {"split": "train", "index": 18581} |
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, Luke, Amelia, Avery, and Elizabeth. According to Lucas, \"Lucas is a knight\". \"it is not the case that ((Luke is a knight or Amelia is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 18582} |
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, Henry, Ava, William, and James. Olivia remarked, \"(James is a sinner or (if Henry is a saint then Henry is a sinner)) if and only if ((James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"->\", [\"no... | {"split": "train", "index": 18583} |
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, Amelia, James, William, and Penelope. Elizabeth said, \"((Amelia is a saint) and (Elizabeth is a saint if and only if William is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"tel... | {"split": "train", "index": 18584} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emma, Owen, Aiden, Joseph, and Lily. Emma expressed that Aiden is a villain. \"((Owen is a hero and Aiden is a villain) and (Emma is a hero and Owen ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 18585} |
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: Samuel, David, Elizabeth, Aurora, and Charlotte. In Samuel's words: \"Charlotte is a villain or (it is not the case that (Samuel is a hero and Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"and\... | {"split": "train", "index": 18586} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: David, Olivia, Matthew, Benjamin, and Lucas. \"if ((Lucas is a sinner or David is a saint) if and only if (Olivia is a saint if and only if Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"... | {"split": "train", "index": 18587} |
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, Owen, Jacob, Alexander, and Henry. \"if (Daniel is a villain) then (if (Henry is a villain if and only if Jacob is a hero) then (Owen is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 4... | {"split": "train", "index": 18588} |
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, Ethan, Grace, Samuel, and Olivia. Avery said that Samuel is a laggard. Ethan said, \"(it is not the case that (Samuel is a pioneer and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying... | {"split": "train", "index": 18589} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Joseph, Charlotte, Alexander, Noah, and Henry. Joseph stated, \"((Alexander is a laggard if and only if Joseph is a pioneer) and (if Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"te... | {"split": "train", "index": 18590} |
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: Oliver, Michael, Lucas, Jacob, and Ethan. Oliver commented, \"Lucas is a devil\". According to Michael, \"Jacob is an angel\". \"((if Oliver is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"lying\", 2], [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"tell... | {"split": "train", "index": 18591} |
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, Jackson, Mia, Lucas, and Aria. \"Aria is a laggard and (Lucas is a laggard or (Aria is a pioneer)),\" Aurora declared. \"if ((if Aria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 4]]]], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"not\", [\"lying\", 4]... | {"split": "train", "index": 18592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Victoria, Olivia, Logan, and Riley. Zoey said that it is not the case that ((Victoria is a devil) and Logan is an angel and (Riley is a devil) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"and\", [\"<=>\", ... | {"split": "train", "index": 18593} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Emily, Grace, Liam, and William. Oliver said that if ((Emily is a pioneer) and (Liam is a laggard if and only if William is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"->\", [\"telling... | {"split": "train", "index": 18594} |
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: Abigail, Aria, Henry, Harper, and Sophia. In Abigail's words: \"if ((Harper is a knight) if and only if (if Aria is a knight then Sophia is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lyi... | {"split": "train", "index": 18595} |
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: Logan, Ethan, Alexander, Jack, and Charlotte. Logan noted, \"it is not the case that (it is not the case that (Alexander is a pioneer or Charlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"and\", [\"lying\", 3], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 18596} |
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: Mason, Liam, Aurora, Emily, and Emma. In a statement by Mason: \"((Emily is a devil) and (Aurora is a devil if and only if Aurora is an angel) and (Lia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"... | {"split": "train", "index": 18597} |
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: Aurora, Sophia, Charlotte, Joseph, and Alexander. Aurora asserted: \"(if (Alexander is a knight and Joseph is a knave) then (Sophia is a knight or Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"telli... | {"split": "train", "index": 18598} |
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, Evelyn, Mia, Owen, and Lily. In a statement by Zoey: \"Evelyn is a knave and ((Mia is a knave if and only if Lily is a knave) or (Zoey is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 18599} |
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