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: Logan, Benjamin, Charlotte, Lily, and Elizabeth. \"if Lily is a laggard then (it is not the case that (Benjamin is a pioneer)),\" Logan declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"not\", [\"lying\", 1]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [... | {"split": "train", "index": 14800} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, Mason, Jack, Abigail, and James. As Lily put it, \"it is not the case that ((Jack is a laggard and Mason is a pioneer) or (Abigail is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 14801} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Abigail, Aiden, Noah, and Chloe. According to Ava, \"it is not the case that (it is not the case that (Aiden is a sage or Abigail is a fool))\". In Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 0]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 14802} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Avery, Sophia, Jacob, Benjamin, and Victoria. According to Avery, \"(it is not the case that (Victoria is a fool)) or (if (Jacob is a fool and Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-trut... | {"split": "train", "index": 14803} |
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, Evelyn, Harper, Jack, and Lily. As Matthew put it, \"Evelyn is a hero\". Evelyn remarked, \"(if (Harper is a villain or Matthew is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"not\", [\"lying\", 1]], [\"or\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 2]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 14804} |
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, Aria, William, Daniel, and Ethan. \"if (if (William is a laggard and Ethan is a laggard) then (if Ethan is a pioneer then Aria is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 14805} |
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, Logan, Isabella, Benjamin, and Matthew. As Emma put it, \"(it is not the case that (if Emma is a hero then Benjamin is a villain)) and ((Emma i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"->\", [\"or\", [\"lyin... | {"split": "train", "index": 14806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Amelia, Grace, Sebastian, and Victoria. In Alexander's words: \"if ((Sebastian is a villain if and only if Alexander is a hero) or (Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"lying\", 4]], [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 14807} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Sofia, Samuel, Abigail, and James. Henry asserted: \"(Henry is a knight if and only if (if James is a knave then James is a knight)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-tr... | {"split": "train", "index": 14808} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Ethan, Aiden, Lucas, and Lily. William expressed that if (if (if Lily is a villain then Lily is a hero) then (William is a hero if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"te... | {"split": "train", "index": 14809} |
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: Harper, Oliver, Penelope, Aria, and Sebastian. As Harper put it, \"(if (if Aria is a hero then Sebastian is a hero) then (Sebastian is a hero if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"t... | {"split": "train", "index": 14810} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Zoey, Logan, Grace, and Charlotte. \"Zoey is a knave\" - Luke. Zoey said, \"if (if (Grace is a knave and Charlotte is a knave) then (Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"lying\", 1], [\"->\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 3]], [\"and\", [\"not\", [\"not\", [\"lying\", ... | {"split": "train", "index": 14811} |
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: Lily, Alexander, David, Grace, and Aiden. Lily told you that Aiden is a knave or ((Lily is a knight or Grace is a knight) and (David is a knave if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 14812} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Oliver, Mason, James, and Chloe. Aurora expressed that Chloe is an egoist. According to Oliver, \"((Chloe is an altruist) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [... | {"split": "train", "index": 14813} |
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, Avery, Lily, Sophia, and Ella. Samuel was heard saying, \"if (it is not the case that (Ella is a pioneer)) then (if Sophia is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"not\", [\"lying\", 4]]]], [\"->\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telli... | {"split": "train", "index": 14814} |
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, Noah, Liam, William, and Aiden. \"Noah is a laggard if and only if (if (if Noah is a pioneer then Liam is a pioneer) then Noah is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"<=>\", [\"lying\", 1], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"lying\", 3]], [\"an... | {"split": "train", "index": 14815} |
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: Joseph, Emily, Liam, Mia, and Olivia. Joseph expressed that Liam is an altruist. \"(it is not the case that (if Mia is an altruist then Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [\"telling-truth\", 2]]], [\"not\", [\"telling-tr... | {"split": "train", "index": 14816} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Evelyn, Luke, Abigail, and Avery. Scarlett was heard saying, \"Luke is a villain\". Evelyn noted, \"if (if Abigail is a hero then (if Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\"... | {"split": "train", "index": 14817} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Benjamin, Mason, Emily, and Emma. According to Ethan, \"(Emily is a hero or (Benjamin is a hero or Mason is a hero)) or (if (Emily is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]]... | {"split": "train", "index": 14818} |
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, Owen, Matthew, Evelyn, and Abigail. \"it is not the case that (it is not the case that (Evelyn is a saint and Chloe is a saint)),\" Chloe clai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"not\", [\"lying\", 2]], [\"->\", [\"->\", [\"lying\", 3], [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"->\", [\"->\", ... | {"split": "train", "index": 14819} |
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, Jackson, Abigail, Sophia, and Sebastian. According to David, \"(it is not the case that (if Abigail is a saint then Sebastian is a sinner)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"lying\", 3]]]], [\"or\", [\"->\", [\"lying\", 4], [\"<=>\", [\"telling-... | {"split": "train", "index": 14820} |
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, Alexander, Ella, Matthew, and Sophia. James commented, \"it is not the case that (Ella is a saint and (if Ella is a saint then James is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 14821} |
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, Jackson, Amelia, Luke, and Henry. \"if (if (if Amelia is a sinner then Luke is a sinner) then Amelia is a sinner) then (if (Jackson is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 2]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 0]], [\"and\", [\"... | {"split": "train", "index": 14822} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Daniel, Emma, Ella, and Joseph. According to Samuel, \"if ((Joseph is a saint if and only if Joseph is a sinner) and (Samuel is a saint if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"->\", [\"or... | {"split": "train", "index": 14823} |
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, Elizabeth, Aria, Isabella, and Charlotte. Avery asserted: \"Elizabeth is a laggard\". \"(if (if Aria is a laggard then Charlotte is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"lying\", 1], [\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-... | {"split": "train", "index": 14824} |
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: Avery, Zoey, Liam, Luke, and Lily. According to Avery, \"(it is not the case that (Lily is a knight or Lily is a knave)) if and only if ((Liam is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"or\", [... | {"split": "train", "index": 14825} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Jacob, Lucas, Evelyn, and Aurora. \"Logan is an angel and (it is not the case that (Jacob is a devil or Evelyn is a devil)),\" Logan claimed. Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"->\", [\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"... | {"split": "train", "index": 14826} |
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: Aria, Mason, Amelia, Logan, and Mia. Aria noted, \"Logan is a fool\". Mason stated, \"(if (Logan is a sage if and only if Amelia is a fool) then (Logan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]... | {"split": "train", "index": 14827} |
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: Alexander, Isabella, Abigail, Ella, and Jack. In Alexander's words: \"(if (Alexander is a pioneer if and only if Isabella is a laggard) then (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"te... | {"split": "train", "index": 14828} |
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, Avery, Aiden, Emily, and Sophia. Harper stated, \"((Sophia is a knight if and only if Sophia is a knave) and (Aiden is a knight and Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", ... | {"split": "train", "index": 14829} |
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: Benjamin, Scarlett, Harper, Jackson, and Avery. Benjamin said that ((Harper is an altruist if and only if Harper is an egoist) or (Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 4... | {"split": "train", "index": 14830} |
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, Ella, Ethan, Luke, and Joseph. \"((Joseph is a sinner if and only if Luke is a sinner) and (Ethan is a saint or Ethan is a sinner)) or ((Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", ... | {"split": "train", "index": 14831} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Aurora, James, Scarlett, and Harper. Ella asserted: \"(James is a knight and James is a knave) if and only if (Aurora is a knight or (Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"not\", [\"lying\", 4]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\",... | {"split": "train", "index": 14832} |
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, Jacob, Mia, Matthew, and Penelope. Noah noted, \"((Noah is a pioneer and Matthew is a pioneer) if and only if (Matthew is a pioneer or Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 4... | {"split": "train", "index": 14833} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Jack, Ethan, Aurora, and Emily. In Abigail's words: \"it is not the case that ((Emily is a saint) and Jack is a saint)\". Jack was heard say... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\",... | {"split": "train", "index": 14834} |
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, James, David, Sophia, and Evelyn. According to Samuel, \"(it is not the case that (David is a fool or Evelyn is a sage)) or (if (Evelyn is a fool a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 4]]], [\"lying\", 0], [\"or\", [\"not\", [\"<=>\", [\"telling... | {"split": "train", "index": 14835} |
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: David, Jacob, Scarlett, Sofia, and Olivia. David said, \"if (if Scarlett is a fool then (Sofia is a fool and Scarlett is a sage)) then (it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 14836} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sebastian, Joseph, Jack, Grace, and James. Sebastian expressed that ((Grace is a pioneer if and only if Joseph is a laggard) or (Grace is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 2]], [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"not\", [\"<=>... | {"split": "train", "index": 14837} |
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: Mia, Jack, Matthew, Alexander, and Evelyn. Mia commented, \"(it is not the case that (Jack is an egoist and Alexander is an egoist)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 14838} |
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: Michael, Evelyn, Emily, Zoey, and Amelia. In a statement by Michael: \"if (if Amelia is a villain then (if Evelyn is a hero then Amelia is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"and\", [... | {"split": "train", "index": 14839} |
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: Jacob, Riley, Sofia, Ethan, and Elizabeth. Jacob noted, \"(if (Ethan is a sinner if and only if Ethan is a saint) then (Ethan is a sinner)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 2]], [\"not\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [... | {"split": "train", "index": 14840} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Isabella, David, Zoey, Samuel, and Penelope. Isabella noted, \"if ((David is a laggard or Zoey is a laggard) or (David is a pioneer and Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 4]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0... | {"split": "train", "index": 14841} |
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: Emma, Matthew, William, Aurora, and Sebastian. Emma remarked, \"((Emma is an angel and William is a devil) or (Emma is an angel if and only if Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 4]... | {"split": "train", "index": 14842} |
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, Jack, Ethan, and Aiden. Charlotte told you that ((Charlotte is a knight or Aiden is a knight) if and only if (Jack is a knight a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]... | {"split": "train", "index": 14843} |
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, Alexander, Scarlett, Harper, and David. In Emma's words: \"(it is not the case that (Scarlett is a villain if and only if Harper is a hero)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 2]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 14844} |
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, Jack, Michael, Mia, and Sebastian. Lucas was heard saying, \"if (if (Michael is a knave) then (Michael is a knight and Sebastian is a knight))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"... | {"split": "train", "index": 14845} |
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, Amelia, Alexander, Sebastian, and Henry. As Noah put it, \"((Amelia is an altruist and Noah is an altruist) if and only if (Noah is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 1]], [\"and\", [\"and\", [\"lying\", 2], [\"<=>\", [... | {"split": "train", "index": 14846} |
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, Zoey, Ethan, Mason, and Mia. Sofia told you that ((Sofia is a saint or Ethan is a saint) or (Mason is a sinner or Zoey is a saint)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 1]]]], [\"->\", [\"not\", [\... | {"split": "train", "index": 14847} |
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, Liam, Scarlett, Aiden, and Penelope. Sebastian said, \"Liam is an egoist.\" \"(it is not the case that (Liam is an egoist)) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"lying\", 1], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]]], [\"or\", [\"<=>\", [\"and\... | {"split": "train", "index": 14848} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Harper, Grace, Scarlett, David, and Penelope. \"it is not the case that ((Penelope is a devil if and only if Grace is a devil) if and only if (if David... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"tellin... | {"split": "train", "index": 14849} |
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, Noah, Ethan, Avery, and Evelyn. David said that Ethan is a saint. In Noah's words: \"it is not the case that ((David is a sinner) and (Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 2]]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\... | {"split": "train", "index": 14850} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Ella, Owen, Lily, and Emily. According to Ethan, \"Lily is a hero\". Ella expressed that ((Owen is a villain and Emily is a villain) or (Lily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"telling-truth\", 2... | {"split": "train", "index": 14851} |
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, Ava, Harper, Victoria, and Emily. Evelyn commented, \"Emily is a pioneer\". Ava asserted: \"it is not the case that (if (Evelyn is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"t... | {"split": "train", "index": 14852} |
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, Jackson, Lucas, Noah, and Mia. \"Noah is a saint,\" Zoey declared. Jackson said, \"Mia is a sinner and ((Mia is a saint if and only if Mia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"lying\", 4], [\"->\", [\"or\", [\"and\", [\"lying\",... | {"split": "train", "index": 14853} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aurora, Joseph, Ethan, Jacob, and Zoey. Aurora was heard saying, \"(it is not the case that (Joseph is a fool)) or (if (Ethan is a fool) then (if Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 14854} |
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: Sofia, Noah, Alexander, Sebastian, and Michael. Sofia stated, \"if Michael is an angel then (it is not the case that (if Sofia is an angel then Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->... | {"split": "train", "index": 14855} |
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, Benjamin, Isabella, Ella, and Sofia. Zoey said, \"it is not the case that (Zoey is a devil).\" In Benjamin's words: \"if Isabella is an angel the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 1], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\... | {"split": "train", "index": 14856} |
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: Aria, Michael, Emily, Avery, and Scarlett. \"Michael is a sage,\" Aria claimed. Michael asserted: \"(if (if Emily is a fool then Avery is a sage) then (Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"not\", [\"lying\", 1]], [\"or\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [... | {"split": "train", "index": 14857} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Sofia, Henry, Jackson, and Sebastian. Abigail asserted: \"it is not the case that (if (Jackson is a saint if and only if Sebastian is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"telling-truth\", 3], [\"not\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\"... | {"split": "train", "index": 14858} |
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: Riley, Aria, Lily, David, and Alexander. Riley remarked, \"David is a knave or (David is a knight)\". Aria told you that ((Lily is a knight and Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 4]], [\"not\", [... | {"split": "train", "index": 14859} |
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, Jack, James, Riley, and Lily. Emily stated, \"James is a fool\". Jack said, \"Lily is a sage.\" In a statement by James: \"(it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"or\", [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 4], [\"not\", [\"lying\", 3]]]], [\"telling-truth\"... | {"split": "train", "index": 14860} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Owen, Mason, Luke, and Sebastian. According to Michael, \"((Sebastian is a saint) or Michael is a saint) or ((if Sebastian is a saint then O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"not\"... | {"split": "train", "index": 14861} |
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, Emily, Noah, Emma, and Jackson. Ethan expressed that (if (Ethan is a knave) then (if Emma is a knave then Jackson is a knight)) and ((Emily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 14862} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Lily, Jackson, Abigail, and Scarlett. In Victoria's words: \"Scarlett is a laggard\". Lily said, \"it is not the case that (if Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"not\", [\"->\", [\"lying\", 0], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]]], [\"telling-truth\", 2], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1... | {"split": "train", "index": 14863} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Abigail, Sophia, Victoria, and Emily. Ava said that Sophia is a fool. According to Abigail, \"(it is not the case that (Emily is a sage)) or ((if Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"lying\", 2], [\"or\", [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"->\", [\"or\", [\"not\",... | {"split": "train", "index": 14864} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ava, Penelope, David, Jacob, and Daniel. Ava said that (if (if Ava is an altruist then Penelope is an altruist) then (David is an altruist or P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"lying\", 3]]], [\"and\", [\"or\", [\"or\", [\"telling-truth\",... | {"split": "train", "index": 14865} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Sofia, Victoria, Joseph, and Ella. \"Sofia is an altruist or ((Joseph is an altruist and Victoria is an egoist) or (if Ella is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"->\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 3]... | {"split": "train", "index": 14866} |
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, Harper, Ella, Isabella, and Evelyn. William commented, \"((William is a pioneer if and only if Evelyn is a laggard) and Evelyn is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 4]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3]]], [\"or\", [\"and... | {"split": "train", "index": 14867} |
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: Ava, Aria, Joseph, Mason, and Sebastian. According to Ava, \"((Aria is a knave and Sebastian is a knight) and (Ava is a knave)) or ((if Ava is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 4]]]], [\"and\"... | {"split": "train", "index": 14868} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Aurora, Samuel, Jacob, and David. Ethan said that ((if Aurora is a villain then David is a hero) or (Samuel is a hero)) if and only if (it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"not\", [\"->\", [\"tell... | {"split": "train", "index": 14869} |
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, Sophia, Jacob, Scarlett, and Noah. Amelia told you that it is not the case that ((Scarlett is an altruist) and (Sophia is an egoist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 3]]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 1... | {"split": "train", "index": 14870} |
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, Harper, Jackson, Oliver, and Olivia. Amelia commented, \"(if (Olivia is a pioneer) then (Oliver is a pioneer)) if and only if Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"lying... | {"split": "train", "index": 14871} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, Jack, Oliver, Sofia, and Emma. Jacob commented, \"if ((if Jack is a fool then Jacob is a sage) if and only if Jack is a sage) then (Emma is a sage o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"or\", [\"->\", [\"lying\", ... | {"split": "train", "index": 14872} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Elizabeth, Joseph, Sebastian, and William. According to Aurora, \"(if (if Elizabeth is an egoist then Joseph is an altruist) then (Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 14873} |
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, Michael, Aria, Ella, and Benjamin. William was heard saying, \"((Benjamin is a fool if and only if Aria is a sage) and (if Aria is a fool then Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"ly... | {"split": "train", "index": 14874} |
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: Michael, Sofia, Ethan, Sophia, and Lucas. Michael expressed that ((Sofia is a hero if and only if Sophia is a hero) or (if Sofia is a hero then Ethan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\... | {"split": "train", "index": 14875} |
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: Joseph, Matthew, William, Ethan, and Logan. In Joseph's words: \"Matthew is a devil\". Matthew expressed that if (it is not the case that (Joseph is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"not\", [\"telling-t... | {"split": "train", "index": 14876} |
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, Samuel, Alexander, Riley, and Owen. \"it is not the case that ((Owen is a fool or Alexander is a sage) or (if Alexander is a sage then Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 14877} |
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, Luke, Ella, Scarlett, and Owen. Chloe said, \"(if (Luke is a pioneer or Ella is a pioneer) then (Chloe is a laggard)) if and only if Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 0]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3... | {"split": "train", "index": 14878} |
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: Emily, Oliver, Charlotte, Luke, and Aurora. \"((if Charlotte is a villain then Luke is a hero) if and only if (Luke is a hero and Aurora is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4... | {"split": "train", "index": 14879} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aiden, Elizabeth, Joseph, Michael, and Benjamin. Aiden stated, \"(if (Joseph is a fool) then Benjamin is a sage) or (if (Benjamin is a sage and Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"->... | {"split": "train", "index": 14880} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Henry, Emily, David, Aurora, and Joseph. Henry expressed that (it is not the case that (Henry is a saint and David is a sinner)) if and only if (Davi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\... | {"split": "train", "index": 14881} |
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: Victoria, Harper, Sophia, Logan, and Aria. Victoria remarked, \"Sophia is a sinner\". Harper told you that (it is not the case that (if Aria is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"... | {"split": "train", "index": 14882} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Harper, Aurora, Chloe, and William. Logan was heard saying, \"Aurora is an angel or (if (Aurora is an angel if and only if Harper is an angel) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\"... | {"split": "train", "index": 14883} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Luke, Amelia, Ella, Aria, and Mason. Luke told you that it is not the case that ((Mason is a villain if and only if Luke is a hero) or (if Ella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"... | {"split": "train", "index": 14884} |
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, Charlotte, Harper, Henry, and Luke. Abigail expressed that it is not the case that ((Harper is an egoist and Charlotte is an egoist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"or\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telli... | {"split": "train", "index": 14885} |
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: Harper, Ava, Mia, Benjamin, and Evelyn. Harper commented, \"Benjamin is a hero if and only if (if (Ava is a villain and Mia is a villain) then Mia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 14886} |
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, Scarlett, Mia, Victoria, and Evelyn. Sebastian said, \"(it is not the case that (Scarlett is a saint if and only if Victoria is a saint)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"telling-truth\", 3], [\"lying\", 4], [\"<=>... | {"split": "train", "index": 14887} |
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, James, Sophia, Michael, and Sofia. \"it is not the case that ((Sofia is a knight if and only if Sophia is a knight) or (if Sofia is a knight th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"and\", [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"... | {"split": "train", "index": 14888} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, Evelyn, Riley, Jack, and Chloe. \"((if Chloe is an egoist then Evelyn is an egoist) or (Ethan is an altruist and Evelyn is an altruist))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"te... | {"split": "train", "index": 14889} |
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, Scarlett, Owen, Luke, and Jackson. \"(if (Owen is a knight) then (if Scarlett is a knight then Luke is a knight)) or ((Joseph is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 14890} |
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: Henry, Owen, Aurora, Michael, and Oliver. According to Henry, \"(Aurora is an egoist or (Oliver is an egoist or Owen is an egoist)) and Oliver ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"telling-truth\", 4]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-tr... | {"split": "train", "index": 14891} |
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, Benjamin, Elizabeth, Scarlett, and Luke. Liam said, \"((if Liam is a saint then Luke is a saint) or (Benjamin is a sinner and Elizabeth is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 14892} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, Abigail, Zoey, Victoria, and James. Penelope remarked, \"(if (if Abigail is a saint then James is a saint) then (if Abigail is a sinner the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3... | {"split": "train", "index": 14893} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, Henry, Luke, Olivia, and Aiden. Elizabeth commented, \"if ((Aiden is a sage and Luke is a sage) if and only if (Aiden is a fool)) then ((Luke is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 3]]]], ... | {"split": "train", "index": 14894} |
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, Benjamin, Luke, Michael, and Riley. Jack said, \"((Riley is an egoist and Luke is an egoist) or (Riley is an egoist and Michael is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2... | {"split": "train", "index": 14895} |
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: Evelyn, James, Aiden, Noah, and Joseph. \"(if (Aiden is a sage or Noah is a sage) then (James is a fool or Aiden is a sage)) or Noah is a sage\" - Evelyn. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 3]], [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 14896} |
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: Benjamin, Sebastian, Scarlett, Sophia, and Oliver. Benjamin said, \"it is not the case that ((Scarlett is an altruist if and only if Oliver is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"->\", [\"lying\", 2], [\"->\", [\"lying\", 0], [\"telling-tr... | {"split": "train", "index": 14897} |
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: Benjamin, Noah, Aria, Emily, and Grace. Benjamin commented, \"if ((Aria is an egoist) and (Aria is an altruist or Noah is an altruist)) then ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]]], [\... | {"split": "train", "index": 14898} |
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, William, Harper, Abigail, and Charlotte. Ethan remarked, \"it is not the case that ((if Charlotte is a devil then William is an angel) or (Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 0]]]], [\"lying\", 1],... | {"split": "train", "index": 14899} |
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