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: Emily, Chloe, Sofia, Joseph, and Owen. Emily expressed that it is not the case that ((if Chloe is a hero then Emily is a hero) if and only if Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1366, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 4]]], [\"lying\", 4], [\"or\", [\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 14700} |
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, Samuel, Lily, Aiden, and Olivia. \"Lily is a sage or Olivia is a fool\" - Jacob. In a statement by Samuel: \"((if Samuel is a sage then Jacob is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1367, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"or\",... | {"split": "train", "index": 14701} |
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, Emma, Isabella, Jackson, and Oliver. According to Mia, \"it is not the case that (if (Jackson is an egoist and Mia is an altruist) then (I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"lying\... | {"split": "train", "index": 14702} |
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, Elizabeth, Avery, Olivia, and Joseph. According to Evelyn, \"(if (Elizabeth is a fool) then Joseph is a sage) if and only if ((Joseph is a fool if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1369, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 1]]]], [\"and\", [\"not\", [\"and\... | {"split": "train", "index": 14703} |
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: Aurora, Jacob, Daniel, Jackson, and Benjamin. Aurora noted, \"if ((Jackson is a villain) and (Jacob is a hero if and only if Daniel is a villain)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1370, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling... | {"split": "train", "index": 14704} |
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, Logan, Benjamin, Daniel, and Noah. Samuel remarked, \"if ((if Noah is a sinner then Samuel is a saint) if and only if (Noah is a sinner if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1371, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"and\", [\"->\", ... | {"split": "train", "index": 14705} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Aiden, Penelope, Ethan, and Olivia. As Oliver put it, \"if (if (Oliver is a saint and Penelope is a saint) then (Aiden is a saint)) then ((if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1372, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 14706} |
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, Riley, Jacob, Matthew, and Logan. \"((Jacob is an angel) if and only if (if Jacob is a devil then Matthew is an angel)) or (it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1373, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"and\", [\"or\", [\"and\", [\"telling-tru... | {"split": "train", "index": 14707} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Joseph, Oliver, Aria, and Logan. \"((Oliver is a villain or Aria is a villain) if and only if (Aria is a hero if and only if Logan is a hero)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1374, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 1]]]], [\"or\", [\"->\", [\"->\",... | {"split": "train", "index": 14708} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Amelia, Owen, Jack, and Aurora. \"((Owen is an angel) or (Amelia is a devil if and only if Owen is a devil)) if and only if ((if Owen is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1375, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"or\",... | {"split": "train", "index": 14709} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Grace, Charlotte, Emma, and Luke. Liam expressed that (it is not the case that (Luke is a fool or Charlotte is a fool)) and (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1376, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 3]... | {"split": "train", "index": 14710} |
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, Chloe, Luke, Benjamin, and Emma. Oliver commented, \"Emma is a laggard or ((Emma is a laggard and Chloe is a laggard) and (Chloe is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1377, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 14711} |
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, Abigail, Matthew, Ava, and Riley. Joseph commented, \"(it is not the case that (Ava is an altruist and Riley is an altruist)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1378, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"lying\", 1]], [\"or\", [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 14712} |
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, Logan, Owen, Isabella, and Jack. Mia said, \"Owen is a pioneer.\" Logan said, \"if ((Jack is a laggard if and only if Isabella is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1379, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"lying\", 0]], [\"not\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0... | {"split": "train", "index": 14713} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Jackson, Ella, Ethan, and Benjamin. Liam said that (if (Benjamin is a sage and Ella is a fool) then (Benjamin is a fool)) and (if (Ella is a sage) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1380, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"<=>\", [\"lyin... | {"split": "train", "index": 14714} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Isabella, Lily, Jack, Riley, and Grace. Isabella stated, \"Grace is a villain\". Lily expressed that Isabella is a hero. Jack told you that ((Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1381, \"statements\": [[\"lying\", 4], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"t... | {"split": "train", "index": 14715} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Elizabeth, Lucas, Logan, and Noah. Joseph noted, \"Noah is a sinner if and only if Elizabeth is a sinner\". In a statement by Elizabeth: \"(i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1382, \"statements\": [[\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 14716} |
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, Logan, Henry, James, and Benjamin. Ethan commented, \"((Ethan is a fool) and (James is a sage if and only if Benjamin is a fool)) if and only if (Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1383, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"or\", ... | {"split": "train", "index": 14717} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Evelyn, Benjamin, Daniel, and Penelope. Michael was heard saying, \"((if Michael is a knight then Daniel is a knight) and (if Penelope is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1384, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]... | {"split": "train", "index": 14718} |
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: Matthew, Sofia, Liam, Abigail, and Michael. Matthew told you that ((Abigail is a saint) and (Matthew is a sinner)) and (it is not the case that (Liam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1385, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\... | {"split": "train", "index": 14719} |
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, Sophia, Matthew, Mia, and Samuel. Penelope noted, \"(Mia is a sinner and (Samuel is a saint if and only if Samuel is a sinner)) and (it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1386, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"lyin... | {"split": "train", "index": 14720} |
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: Ella, Lily, Emily, Owen, and Michael. According to Ella, \"Owen is a villain\". According to Lily, \"((Michael is a villain and Owen is a hero) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1387, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 14721} |
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: Matthew, Zoey, Isabella, Charlotte, and James. Matthew remarked, \"(if (Zoey is a saint and James is a sinner) then (Charlotte is a saint if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 14722} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Evelyn, Noah, Avery, and Charlotte. Jack stated, \"if ((Avery is a knave if and only if Avery is a knight) or Charlotte is a knight) then ((Cha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\... | {"split": "train", "index": 14723} |
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: Jack, William, Daniel, Aria, and Aurora. \"((William is a devil) or Aurora is a devil) and ((if William is a devil then Daniel is an angel) and (if Aur... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"and\", [\... | {"split": "train", "index": 14724} |
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: Alexander, Michael, Harper, Joseph, and William. In a statement by Alexander: \"((if Joseph is a knave then Joseph is a knight) and (Harper is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 3], [\"lying\", 4], [\"->\", [\"or\", [\"... | {"split": "train", "index": 14725} |
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: Mia, Jacob, Benjamin, Owen, and Avery. Mia asserted: \"Jacob is an angel if and only if (if (Avery is a devil) then (Mia is an angel if and only if Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 14726} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Aria, Penelope, Sebastian, and Avery. According to Liam, \"it is not the case that ((Penelope is a pioneer if and only if Avery is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], ... | {"split": "train", "index": 14727} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Scarlett, Mason, Jacob, Avery, and Daniel. \"((Avery is an egoist or Mason is an egoist) and Scarlett is an altruist) and ((Jacob is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"->\", ... | {"split": "train", "index": 14728} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lily, Charlotte, Scarlett, Victoria, and Henry. Lily noted, \"Henry is a devil\". As Charlotte put it, \"((Scarlett is a devil) or (Lily is a devil if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 14729} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Joseph, Isabella, Samuel, and Olivia. In Sophia's words: \"(it is not the case that (Isabella is a sinner if and only if Samuel is a sinner))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"or\", [\"or\", ... | {"split": "train", "index": 14730} |
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, Liam, Zoey, Luke, and Avery. Sebastian stated, \"Zoey is a pioneer and (it is not the case that (Luke is a pioneer if and only if Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"... | {"split": "train", "index": 14731} |
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, Sofia, Abigail, Ethan, and Henry. In a statement by Amelia: \"if Henry is a laggard then (it is not the case that (Ethan is a pioneer))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"->\", [\"lying\", 4], [\"not\", [\"not\", [\"lying\", 3]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4],... | {"split": "train", "index": 14732} |
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, Benjamin, Zoey, Owen, and Aria. Avery asserted: \"it is not the case that (if (Benjamin is a fool and Owen is a fool) then (Benjamin is a fool))\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 14733} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Jackson, Scarlett, Ava, and Zoey. Evelyn told you that it is not the case that ((Zoey is a villain and Jackson is a villain) and (if Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 14734} |
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: Penelope, Liam, Logan, Alexander, and Henry. According to Penelope, \"((Henry is an altruist if and only if Alexander is an altruist) and Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"->\", [... | {"split": "train", "index": 14735} |
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, Luke, Daniel, James, and Sophia. Joseph asserted: \"James is an egoist and ((Joseph is an altruist and Sophia is an altruist) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 14736} |
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, Avery, Jack, Charlotte, and Joseph. In Aria's words: \"Jack is a knave and (Jack is a knight)\". As Avery put it, \"it is not the case that ((A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"and\", [\"lying\", 2], [\"not\", [\"lying\", 2]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 3]]], [\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 14737} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Ava, Noah, Evelyn, and Emma. \"((Evelyn is a villain and Noah is a hero) or (Evelyn is a hero or Emma is a hero)) if and only if ((if Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"l... | {"split": "train", "index": 14738} |
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: Aurora, Chloe, Jacob, Logan, and Ava. Aurora told you that it is not the case that (it is not the case that (if Logan is a hero then Aurora is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"->\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 0]]], [\"not\", [\"telling-truth\", 4]]],... | {"split": "train", "index": 14739} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Ava, Isabella, David, and Henry. According to Amelia, \"it is not the case that (it is not the case that (Ava is a sinner or David is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"->\", ... | {"split": "train", "index": 14740} |
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: Jacob, Aria, Harper, Aurora, and Michael. Jacob commented, \"if ((Aria is a knave and Michael is a knave) or (Aria is a knave or Jacob is a knight)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"and... | {"split": "train", "index": 14741} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Joseph, Grace, Penelope, and Daniel. Aria told you that Penelope is an altruist. In Joseph's words: \"((Aria is an egoist and Joseph is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 0... | {"split": "train", "index": 14742} |
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, Alexander, Aurora, Benjamin, and Noah. Aria asserted: \"((Aurora is a fool if and only if Noah is a sage) or (if Alexander is a fool then Noah is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3],... | {"split": "train", "index": 14743} |
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, Noah, Aria, Emma, and Logan. \"Aria is a villain\" - Jacob. \"if (if Emma is a hero then (if Emma is a hero then Jacob is a hero)) then (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"lying\", 2], [\"->\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 4]]]], [\"and\", [\"<=>\", [\"lying\",... | {"split": "train", "index": 14744} |
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: Mia, Ava, Penelope, Lucas, and Emily. Mia said, \"(if (Penelope is a villain if and only if Lucas is a hero) then Penelope is a hero) or (Emily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]]], [\"telling-truth\", 2], [\"->\", [\"<=>\", [\"... | {"split": "train", "index": 14745} |
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: Aiden, Lucas, Samuel, Ava, and Henry. \"if ((Samuel is a saint and Henry is a sinner) and (Samuel is a sinner)) then (if (Ava is a saint or Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 14746} |
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: Alexander, Emma, Lily, Sophia, and Aria. Alexander stated, \"if (Sophia is a knave and Emma is a knight) then ((Sophia is a knight if and only if Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\", [\"or\", [\"... | {"split": "train", "index": 14747} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Logan, Sebastian, Samuel, and Charlotte. As Isabella put it, \"((if Samuel is an egoist then Sebastian is an altruist) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2]]]], [\"telling-truth\", 2], [\"->\", [\... | {"split": "train", "index": 14748} |
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: Zoey, Mason, Aiden, David, and Emma. Zoey told you that it is not the case that ((Aiden is an altruist if and only if Emma is an altruist) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\... | {"split": "train", "index": 14749} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Sofia, Joseph, Scarlett, and Luke. Michael said, \"it is not the case that ((Sofia is a knight and Michael is a knight) and (Joseph is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling... | {"split": "train", "index": 14750} |
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, Scarlett, Evelyn, Noah, and Zoey. \"(it is not the case that (Noah is a fool and Evelyn is a fool)) if and only if ((Zoey is a fool if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"telling-truth\", 3], [... | {"split": "train", "index": 14751} |
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: Lucas, Grace, William, Noah, and Charlotte. According to Lucas, \"Grace is a fool\". According to Grace, \"Grace is a sage\". William stated, \"((Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"lying\", 1], [\"telling-truth\", 1], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 14752} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Ella, Grace, Logan, and Michael. In Henry's words: \"if (if Michael is a laggard then (Michael is a laggard)) then ((if Logan is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"and\", [\"and\"... | {"split": "train", "index": 14753} |
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: Owen, Sophia, Grace, Lily, and Lucas. \"(it is not the case that (Lucas is a fool or Lily is a sage)) if and only if (it is not the case that (Sophia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"->\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"not\", [\"telling-tr... | {"split": "train", "index": 14754} |
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, Emma, Victoria, Ava, and Alexander. Liam expressed that if ((Alexander is a knight and Ava is a knight) if and only if (Victoria is a knave)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3]], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 14755} |
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, Charlotte, Liam, Aurora, and Alexander. Ava remarked, \"it is not the case that (if (Charlotte is an egoist and Charlotte is an altruist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"lying\", 4]]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 1]], [\"and\", [\"or\", [\"lying\... | {"split": "train", "index": 14756} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Jack, Elizabeth, Samuel, and Charlotte. As Matthew put it, \"(it is not the case that (Samuel is a pioneer if and only if Charlotte is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [... | {"split": "train", "index": 14757} |
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, Lily, Chloe, Harper, and Oliver. Lucas told you that if (if (if Harper is an angel then Oliver is a devil) then Oliver is an angel) then ((if Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]]], [\"or\", [\"->\", [\"... | {"split": "train", "index": 14758} |
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, Lucas, Victoria, Samuel, and Abigail. Benjamin commented, \"((Abigail is an altruist and Abigail is an egoist) if and only if (Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-... | {"split": "train", "index": 14759} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emily, Liam, Sophia, David, and Alexander. Emily said that if (if Liam is a devil then (Liam is an angel and Emily is an angel)) then (if (Sophia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]... | {"split": "train", "index": 14760} |
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: William, Owen, Emily, Noah, and Amelia. William expressed that ((if William is an altruist then Emily is an altruist) if and only if (Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 14761} |
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, Liam, Joseph, Evelyn, and Matthew. Emily was heard saying, \"((Liam is a hero and Matthew is a hero) and (Liam is a hero and Evelyn is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\... | {"split": "train", "index": 14762} |
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, Grace, Alexander, Aiden, and David. Aria was heard saying, \"(David is a sage or (Alexander is a sage and Aiden is a sage)) if and only if Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-t... | {"split": "train", "index": 14763} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Grace, Charlotte, Amelia, David, and Scarlett. \"(it is not the case that (Charlotte is a villain)) and (it is not the case that (Charlotte is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 4]],... | {"split": "train", "index": 14764} |
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, Michael, Daniel, Harper, and Noah. Henry told you that ((Michael is an egoist) if and only if (Daniel is an egoist)) and Michael is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 3]... | {"split": "train", "index": 14765} |
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, Victoria, Samuel, Harper, and Aria. Logan asserted: \"((Harper is a fool) or (if Harper is a sage then Aria is a sage)) and Aria is a fool\". In Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"lying\", 4]], [\"lying\", 3], [\"->\", [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 4... | {"split": "train", "index": 14766} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Emily, Sebastian, Evelyn, and Lily. \"if Lily is a fool then Jackson is a sage,\" Jackson mentioned. As Emily put it, \"((Evelyn is a sage and Seb... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 0... | {"split": "train", "index": 14767} |
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: Mia, Noah, David, Sofia, and Charlotte. \"Sofia is a devil,\" Mia declared. \"if (Sofia is an angel and (Charlotte is an angel and Charlotte is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 4], [\"->\"... | {"split": "train", "index": 14768} |
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, Samuel, Daniel, Liam, and Oliver. In a statement by Penelope: \"(it is not the case that (Daniel is a fool or Samuel is a sage)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]]], [\"telling-truth\", 3], [\"lying\",... | {"split": "train", "index": 14769} |
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: Chloe, Alexander, Sophia, Samuel, and Ethan. Chloe said, \"Samuel is a hero.\" Alexander stated, \"(Chloe is a villain if and only if (Samuel is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"<=>\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]]], ... | {"split": "train", "index": 14770} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Aurora, Charlotte, Michael, and Riley. \"it is not the case that ((Michael is a sinner if and only if Noah is a saint) if and only if Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"lying\", 3], [\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"-... | {"split": "train", "index": 14771} |
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, Sebastian, Amelia, Penelope, and Oliver. Zoey asserted: \"((Penelope is a sinner or Sebastian is a sinner) and (Amelia is a saint)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\",... | {"split": "train", "index": 14772} |
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, Sofia, Charlotte, Aurora, and Scarlett. According to Victoria, \"if ((Aurora is a saint) and (Charlotte is a sinner if and only if Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]]], ... | {"split": "train", "index": 14773} |
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: Ella, Owen, Sofia, Ethan, and Matthew. \"Sofia is a pioneer,\" Ella declared. Owen stated, \"Ella is a laggard if and only if ((Owen is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"lying\", 0], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"not\", [\"or\", [\"l... | {"split": "train", "index": 14774} |
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: Mason, William, Noah, Michael, and Evelyn. As Mason put it, \"Noah is a hero\". William told you that (Evelyn is a villain) or (if (if Mason is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"not\", [\"lying\", 2]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"telling-truth\", 1]], [... | {"split": "train", "index": 14775} |
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: Scarlett, Jack, Aiden, Riley, and Penelope. Scarlett was heard saying, \"((if Riley is a knave then Jack is a knave) and (if Aiden is a knight then S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"... | {"split": "train", "index": 14776} |
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, Jack, Jackson, David, and Penelope. Riley commented, \"(Penelope is a knight if and only if (David is a knight)) if and only if ((Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"and\"... | {"split": "train", "index": 14777} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Chloe, Mia, Michael, and Lucas. Matthew noted, \"Mia is a knave or ((Mia is a knave and Chloe is a knight) and (Michael is a knave))\". Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"or\", [\"lying\", 2], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"lying\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", ... | {"split": "train", "index": 14778} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Jacob, Mason, Noah, and James. Grace commented, \"it is not the case that ((if Mason is an angel then Mason is a devil) and (Noah is an angel an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\"... | {"split": "train", "index": 14779} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Noah, Joseph, Abigail, and Charlotte. David said, \"Abigail is a pioneer.\" Noah remarked, \"Joseph is a laggard and (if (Noah is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"telling-truth\", 3], [\"or\", [\"ly... | {"split": "train", "index": 14780} |
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, Aiden, Victoria, Chloe, and James. Riley told you that ((if James is a knave then Victoria is a knave) or (Victoria is a knave or Chloe is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\... | {"split": "train", "index": 14781} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Victoria, Logan, Charlotte, Harper, and Riley. Victoria stated, \"if ((Harper is an egoist if and only if Victoria is an altruist) or (Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"not\", [... | {"split": "train", "index": 14782} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Liam, Grace, Owen, and Isabella. Amelia said that ((if Grace is a fool then Owen is a fool) and (Isabella is a sage and Grace is a fool)) or ((Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"... | {"split": "train", "index": 14783} |
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, Lily, Logan, Grace, and Alexander. Oliver expressed that Alexander is a knight. \"((Grace is a knave or Alexander is a knight) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\... | {"split": "train", "index": 14784} |
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, Grace, Isabella, Olivia, and Abigail. Aria stated, \"Grace is a knave\". Grace told you that if ((Grace is a knight and Aria is a knave) or (Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"lying\", 1], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\... | {"split": "train", "index": 14785} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Luke, Henry, Evelyn, and Scarlett. In a statement by Sofia: \"Evelyn is a knight\". In Luke's words: \"(if (Luke is a knight and Henry is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]]], [\"and\", [... | {"split": "train", "index": 14786} |
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, Samuel, Jack, Henry, and Michael. Aurora expressed that if ((Samuel is a knight if and only if Samuel is a knave) and (Samuel is a knight or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"te... | {"split": "train", "index": 14787} |
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, Ava, Amelia, Emily, and Aria. As Ella put it, \"(it is not the case that (if Aria is a knight then Amelia is a knight)) if and only if ((if Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"<=>\", [\... | {"split": "train", "index": 14788} |
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, Luke, Aria, Benjamin, and Logan. Jackson remarked, \"it is not the case that (if (Logan is a saint and Luke is a sinner) then (Logan is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 4]]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [... | {"split": "train", "index": 14789} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Chloe, Olivia, Emma, Samuel, and Aria. Chloe asserted: \"Samuel is an angel\". Olivia noted, \"if ((Samuel is an angel) and (if Olivia is an angel then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 4]... | {"split": "train", "index": 14790} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emily, Mia, Zoey, Evelyn, and Alexander. \"it is not the case that ((Emily is an angel if and only if Alexander is a devil) or (Mia is a devil or Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"not\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\",... | {"split": "train", "index": 14791} |
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, Mason, James, Chloe, and Jack. Avery asserted: \"Jack is a hero and ((if Mason is a villain then Chloe is a hero) and (James is a villain and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"lying\", 2], [\"<=>\", [\"and\", [\"->\", [\"telling-... | {"split": "train", "index": 14792} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Noah, Liam, Aiden, Grace, and Jacob. Noah asserted: \"Liam is an angel\". \"(Grace is a devil and (Jacob is a devil or Noah is an angel)) and (it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"and\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"telling-truth\", 0], [\"->\... | {"split": "train", "index": 14793} |
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: Mason, Zoey, Jackson, Owen, and Harper. \"(it is not the case that (Harper is a knave if and only if Zoey is a knave)) and ((Zoey is a knight or Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 14794} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Riley, Owen, Liam, and Jacob. Evelyn commented, \"((Jacob is a knight or Riley is a knight) and (Riley is a knight)) or Evelyn is a knight\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 0]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telli... | {"split": "train", "index": 14795} |
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, Scarlett, Samuel, Penelope, and Abigail. As Luke put it, \"it is not the case that ((Scarlett is a sage or Abigail is a sage) or (Samuel is a fool if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"lying\", 2], [\"t... | {"split": "train", "index": 14796} |
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, Matthew, Benjamin, David, and Emma. Emily stated, \"Benjamin is a villain\". Matthew asserted: \"if Emma is a hero then ((if David is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"lying\", 2], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 0]]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 1], [\"lyi... | {"split": "train", "index": 14797} |
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, Daniel, Henry, Zoey, and Matthew. Riley expressed that ((if Matthew is a knave then Riley is a knight) if and only if (Matthew is a knight)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\... | {"split": "train", "index": 14798} |
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: Jacob, Chloe, Samuel, Abigail, and Matthew. Jacob told you that if (it is not the case that (Samuel is a devil)) then ((Samuel is an angel or Jacob is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"and\", ... | {"split": "train", "index": 14799} |
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