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: Grace, Benjamin, Michael, Amelia, and William. Grace told you that it is not the case that (if Grace is a hero then (Benjamin is a villain)). In a st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 2]], [\"not\", [... | {"split": "train", "index": 16100} |
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, Aiden, Logan, Isabella, and Owen. \"Isabella is a hero or ((if Aiden is a hero then Isabella is a hero) and (Aiden is a villain or Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 2]],... | {"split": "train", "index": 16101} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Zoey, Charlotte, Owen, and Noah. \"(it is not the case that (Owen is a fool and Charlotte is a fool and Sophia is a sage)) or Noah is a sage,\" Sop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]]]... | {"split": "train", "index": 16102} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Scarlett, Samuel, Riley, and Owen. According to Benjamin, \"(if (Samuel is a pioneer if and only if Riley is a laggard) then (Benjami... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"or\"... | {"split": "train", "index": 16103} |
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: Olivia, Victoria, Joseph, Ethan, and Jacob. Olivia stated, \"Joseph is a knight\". \"Olivia is a knight\" - Victoria. As Joseph put it, \"if Ethan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"and\", [\"ly... | {"split": "train", "index": 16104} |
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, Emily, Abigail, Aiden, and Olivia. Isabella commented, \"if (if (Emily is an egoist) then (Aiden is an egoist and Emily is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 3], [\"or\", [\"and\", [\"and\", [\"telling... | {"split": "train", "index": 16105} |
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: Lily, Ella, Riley, Abigail, and Alexander. In Lily's words: \"((if Lily is a sage then Alexander is a fool) if and only if (Riley is a sage)) and ((Ella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1... | {"split": "train", "index": 16106} |
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: Sebastian, Harper, Aurora, Jackson, and Isabella. In a statement by Sebastian: \"(Harper is a knight or (Isabella is a knight and Sebastian is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 4]], [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"te... | {"split": "train", "index": 16107} |
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, Michael, Riley, Lily, and Emily. Scarlett was heard saying, \"((Emily is a knave if and only if Riley is a knave) or (Riley is a knight or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"l... | {"split": "train", "index": 16108} |
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: Penelope, Mia, Henry, Avery, and Abigail. \"((Mia is a hero) if and only if (Henry is a hero if and only if Mia is a hero)) if and only if (Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"... | {"split": "train", "index": 16109} |
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, Chloe, Sebastian, Joseph, and Ethan. Sofia was heard saying, \"(if Joseph is a knave then (Sofia is a knight if and only if Joseph is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"lying\", 2]], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"<=>\", [\"not\", [\"lying\", 4]], [\"... | {"split": "train", "index": 16110} |
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, Lucas, Zoey, Joseph, and Ava. William stated, \"William is an altruist\". In Lucas's words: \"((Joseph is an egoist or Zoey is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"or\", [\"->\... | {"split": "train", "index": 16111} |
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, Grace, Evelyn, Sebastian, and Sophia. \"if (Aiden is a saint and Sophia is a saint and (Grace is a sinner and Evelyn is a sinner and Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [... | {"split": "train", "index": 16112} |
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, Ava, Samuel, Noah, and Evelyn. \"((if Samuel is a laggard then Ava is a laggard) and (if Ava is a laggard then Samuel is a pioneer)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2... | {"split": "train", "index": 16113} |
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: Logan, Daniel, Chloe, Charlotte, and Victoria. In Logan's words: \"it is not the case that ((Victoria is a knight if and only if Charlotte is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]]]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"tel... | {"split": "train", "index": 16114} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Joseph, Benjamin, Chloe, and David. Elizabeth commented, \"((if Joseph is an angel then Benjamin is a devil) or (David is a devil) or (Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"telling-tr... | {"split": "train", "index": 16115} |
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, Harper, Ava, Joseph, and Ethan. Aurora expressed that Harper is a sage and ((Ava is a fool or Harper is a fool or Joseph is a sage) or (Ava is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\",... | {"split": "train", "index": 16116} |
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: Alexander, Penelope, Ava, Ethan, and Charlotte. Alexander stated, \"if (it is not the case that (Ava is an egoist)) then Ethan is an egoist\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3]], [\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 0], [\"and\", [... | {"split": "train", "index": 16117} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aria, Jack, James, Oliver, and Victoria. In Aria's words: \"(Victoria is a sinner and (Jack is a saint) and (Jack is a sinner or Aria is a saint)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 16118} |
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, Abigail, Sofia, Jacob, and Grace. In Aria's words: \"((Sofia is an altruist if and only if Aria is an altruist) and (Abigail is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\"... | {"split": "train", "index": 16119} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Logan, Aurora, Owen, and Penelope. \"(Owen is a sage) if and only if (Penelope is a sage and (Sofia is a fool)),\" Sofia mentioned. According to Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 4], [\"lying\", 0], [\"lying\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]... | {"split": "train", "index": 16120} |
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: Benjamin, Michael, Jackson, David, and Ethan. \"if Jackson is a hero then (Jackson is a hero),\" Benjamin declared. Michael remarked, \"Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", ... | {"split": "train", "index": 16121} |
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: Olivia, Victoria, Emily, Alexander, and Benjamin. \"(if (Emily is a knight) then (Victoria is a knave)) if and only if ((if Victoria is a knave then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 566, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"and\", [\"<=>\"... | {"split": "train", "index": 16122} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Samuel, Victoria, Aiden, and Ava. David commented, \"if (Ava is an angel if and only if (Victoria is a devil)) then (if (if Victoria is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 567, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"no... | {"split": "train", "index": 16123} |
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, Avery, Emma, Mia, and Lucas. William asserted: \"Emma is a sage and Emma is a fool and ((Mia is a fool and Avery is a sage) if and only if Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 568, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lyi... | {"split": "train", "index": 16124} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ella, Penelope, Lily, Matthew, and William. Ella commented, \"((William is a devil) if and only if Matthew is a devil) and (Matthew is an angel) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 569, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 16125} |
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, Riley, Scarlett, Abigail, and Sophia. Logan commented, \"(if (Sophia is a laggard if and only if Scarlett is a laggard) then (Sophia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 570, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 0... | {"split": "train", "index": 16126} |
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, Emily, Jackson, Benjamin, and Sebastian. Riley told you that (Jackson is a knave or (Emily is a knight if and only if Riley is a knight) or (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 571, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"or\", [\"lying\", 1], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\... | {"split": "train", "index": 16127} |
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, Jack, Abigail, Sophia, and Benjamin. Ethan told you that if ((Ethan is a saint and Abigail is a saint) if and only if Abigail is a saint) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 572, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 16128} |
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, Matthew, Sebastian, Logan, and Jack. \"((Jack is a hero and Matthew is a villain and Logan is a hero) or (Sebastian is a hero if and only if Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 573, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 3]], [\"<=>\", [\"->\", [\"<=>\", [\"te... | {"split": "train", "index": 16129} |
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: Aurora, Victoria, Ava, Oliver, and Scarlett. \"((Scarlett is a saint if and only if Oliver is a sinner) and (Oliver is a sinner or Scarlett is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 574, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", ... | {"split": "train", "index": 16130} |
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: Chloe, James, Luke, Victoria, and David. Chloe was heard saying, \"if ((Luke is a sage) and (Chloe is a sage if and only if David is a sage)) then (James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 575, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 4]]]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 4]... | {"split": "train", "index": 16131} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Alexander, Isabella, Emily, and Lucas. \"(it is not the case that (Emily is a saint if and only if Alexander is a sinner)) and Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 576, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 1], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"and\", [\"<=>\", [\"tellin... | {"split": "train", "index": 16132} |
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, Charlotte, Alexander, Jacob, and Oliver. \"if (Oliver is a hero if and only if (Jacob is a hero or Alexander is a hero or Charlotte is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 577, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 3]], [\"telling-truth\", 4], [\"not\", [\"not\", [\"->\", [\"telli... | {"split": "train", "index": 16133} |
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, Ava, Amelia, Zoey, and Olivia. \"if ((Ava is a knave or Zoey is a knight or Olivia is a knave) and (Amelia is a knave) and (Ava is a knight or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 578, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\",... | {"split": "train", "index": 16134} |
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, Scarlett, Victoria, Lily, and William. Harper stated, \"((Scarlett is a hero or Victoria is a hero) and Lily is a villain and Lily is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 579, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"tellin... | {"split": "train", "index": 16135} |
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: Noah, Matthew, Joseph, Ethan, and Jack. Noah said, \"Joseph is a knight.\" Matthew remarked, \"Noah is a knave\". In a statement by Joseph: \"if (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 580, \"statements\": [[\"telling-truth\", 2], [\"lying\", 0], [\"->\", [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 4],... | {"split": "train", "index": 16136} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Scarlett, Alexander, Benjamin, and Olivia. Mason noted, \"(if (if Scarlett is a laggard then Benjamin is a pioneer) then (Mason is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 581, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]], [\"->\"... | {"split": "train", "index": 16137} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Riley, Aiden, Ella, Mason, and Zoey. In a statement by Riley: \"if Ella is a saint then (Ella is a saint or (Ella is a saint))\". Aiden commented, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 582, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]]]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"... | {"split": "train", "index": 16138} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emma, Jack, Sofia, Ethan, and Ella. \"((Sofia is a sinner or Ethan is a saint) and (Ella is a saint if and only if Ethan is a saint) and Sofia is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 583, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 16139} |
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: Isabella, Oliver, Lily, Sophia, and Avery. Isabella asserted: \"((Isabella is a knight or Avery is a knight) and (if Sophia is a knave then Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 584, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 2]], ... | {"split": "train", "index": 16140} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Harper, Abigail, Penelope, and Emma. William remarked, \"Emma is a saint\". Harper said that ((if William is a saint then Penelope is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 585, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\... | {"split": "train", "index": 16141} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Penelope, Henry, Zoey, and Aurora. As Charlotte put it, \"(Henry is an egoist or Zoey is an altruist or (Aurora is an altruist and P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 586, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telli... | {"split": "train", "index": 16142} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Liam, Alexander, William, and Daniel. Emily said, \"((William is a saint if and only if Daniel is a saint) and Liam is a saint) and ((Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 587, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lyin... | {"split": "train", "index": 16143} |
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, Amelia, Lucas, Ava, and Emily. David stated, \"(if (Amelia is a fool and Lucas is a fool and Emily is a sage) then Amelia is a fool) or (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 1]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"->\", [\"->\", [\"telling-t... | {"split": "train", "index": 16144} |
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, Joseph, Daniel, Chloe, and Aurora. \"if (if (Chloe is a knave) then Aurora is a knave) then ((Aurora is a knight) or Daniel is a knight),\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"... | {"split": "train", "index": 16145} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Scarlett, Lily, James, and Harper. Daniel said, \"James is a knave.\" \"(if (Harper is a knave) then Daniel is a knight) and (it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"lying\", 3], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"not\", [\"not\", [\"lying\", 3]]], [\"lying\", 2]], [\"lying\", 1], [\"telling-truth\", 2], [\"not\", [\"<... | {"split": "train", "index": 16146} |
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: Charlotte, Daniel, Noah, Sebastian, and Harper. Charlotte asserted: \"if (it is not the case that (Daniel is a laggard or Harper is a laggard))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]]]], [\"lying\", 3], [\"not\", [\"not\", [\"a... | {"split": "train", "index": 16147} |
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, Sofia, Daniel, Grace, and Luke. Mia stated, \"it is not the case that (if (Daniel is a laggard and Grace is a laggard) then Luke is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 4]]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3... | {"split": "train", "index": 16148} |
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: Olivia, Aiden, Luke, Daniel, and Emily. Olivia was heard saying, \"it is not the case that ((Daniel is a sage if and only if Daniel is a fool) and (Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 4]], [... | {"split": "train", "index": 16149} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Liam, Riley, William, Matthew, and Abigail. Liam asserted: \"Matthew is a villain or (Liam is a villain)\". Riley expressed that (if (Abigail is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 0], [\"... | {"split": "train", "index": 16150} |
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, James, Jackson, Amelia, and Mia. Benjamin expressed that (Mia is an altruist) or ((James is an egoist if and only if Benjamin is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3... | {"split": "train", "index": 16151} |
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: Zoey, Harper, David, Elizabeth, and Avery. Zoey said, \"it is not the case that (if (Elizabeth is a laggard if and only if David is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=... | {"split": "train", "index": 16152} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Victoria, Ava, Mason, and Aria. William said, \"Mason is a saint if and only if ((William is a saint and Victoria is a sinner and Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]]]], [\"->\", [\"not\", [\"<=>... | {"split": "train", "index": 16153} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, Lucas, Oliver, Elizabeth, and Alexander. \"if Lucas is an altruist then Evelyn is an altruist\" - Evelyn. Lucas said, \"((if Oliver is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"tell... | {"split": "train", "index": 16154} |
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, Michael, Logan, Jacob, and Charlotte. Evelyn stated, \"if ((Charlotte is a knave) if and only if (Jacob is a knight)) then (it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]... | {"split": "train", "index": 16155} |
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, Henry, Sofia, Harper, and Jack. \"((if Henry is a saint then Penelope is a saint) or (Sofia is a saint) or (Jack is a sinner or Henry is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"lying\", 3], [\"or\", [\"tell... | {"split": "train", "index": 16156} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Owen, Jack, Charlotte, and Abigail. Luke expressed that it is not the case that ((if Abigail is an altruist then Luke is an altruist) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"no... | {"split": "train", "index": 16157} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ella, Amelia, Samuel, Emma, and Zoey. Ella said that Zoey is an altruist. Amelia remarked, \"Zoey is an egoist if and only if ((Ella is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 3]]]], [\"<=>\"... | {"split": "train", "index": 16158} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Aurora, Noah, Emily, and Mason. James said that it is not the case that ((Emily is a knight and Noah is a knight and Aurora is a knave) or (No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\... | {"split": "train", "index": 16159} |
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, Michael, Sebastian, Evelyn, and Grace. Luke asserted: \"if (it is not the case that (Michael is a villain or Evelyn is a hero or Luke is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"->\", [\"and\", [\"->\... | {"split": "train", "index": 16160} |
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: Joseph, Emma, Mason, Harper, and Alexander. \"((Emma is a villain and Mason is a hero and Alexander is a hero) and (Alexander is a villain or Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]... | {"split": "train", "index": 16161} |
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, Elizabeth, Lucas, Jackson, and Ava. As Jacob put it, \"if ((Elizabeth is a knave or Elizabeth is a knight) and Elizabeth is a knight) then (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 16162} |
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, Benjamin, Charlotte, Aiden, and Michael. Harper remarked, \"if (it is not the case that (Michael is a villain)) then Benjamin is a villain\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 16163} |
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, Michael, Charlotte, Grace, and Joseph. In Emma's words: \"it is not the case that ((Charlotte is a devil and Joseph is a devil) and (Charlotte is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", ... | {"split": "train", "index": 16164} |
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, Michael, Oliver, David, and Aurora. Noah said, \"((Noah is an angel and Michael is an angel) and (Noah is an angel or Aurora is an angel)) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]... | {"split": "train", "index": 16165} |
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: Alexander, Aurora, Joseph, Matthew, and Ethan. Alexander asserted: \"it is not the case that (it is not the case that (if Matthew is a saint then Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 3]... | {"split": "train", "index": 16166} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jacob, Sebastian, Alexander, Avery, and Olivia. \"(if (if Olivia is a pioneer then Alexander is a laggard) then (Sebastian is a laggard and Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\"... | {"split": "train", "index": 16167} |
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, Riley, Jack, Amelia, and David. Chloe remarked, \"Riley is a villain\". Riley remarked, \"((Jack is a villain or David is a villain or Chloe i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 3]... | {"split": "train", "index": 16168} |
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, Jack, Henry, Harper, and James. Avery remarked, \"Harper is a hero\". Jack said, \"Henry is a hero.\" Henry said that Avery is a hero. \"((Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 16169} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Henry, David, Jack, Olivia, and Aiden. Henry stated, \"(it is not the case that (David is an angel if and only if Jack is a devil)) and (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 16170} |
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, Grace, Sebastian, Isabella, and Matthew. Oliver expressed that ((if Matthew is a pioneer then Grace is a pioneer) if and only if (if Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\"... | {"split": "train", "index": 16171} |
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, Aurora, Abigail, Olivia, and Mason. Ava noted, \"(if (Olivia is a knight and Mason is a knight) then (if Aurora is a knave then Abigail is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 16172} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Matthew, Henry, Liam, and Amelia. Grace expressed that it is not the case that (if (Grace is a sage if and only if Liam is a fool) then (Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 3]]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"not\", [\"and\... | {"split": "train", "index": 16173} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Charlotte, Matthew, Grace, and Henry. Harper asserted: \"(it is not the case that (Harper is a saint or Matthew is a saint)) and (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 16174} |
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, Owen, James, Oliver, and Amelia. Joseph expressed that ((Joseph is an altruist or James is an egoist or Oliver is an altruist) or (Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [\"<=>\"... | {"split": "train", "index": 16175} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Charlotte, Noah, Oliver, and Evelyn. Zoey told you that Noah is a knave if and only if (Noah is a knight and (Charlotte is a knave or Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"or\", [\"telling-truth\", 1], [... | {"split": "train", "index": 16176} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lucas, Mia, Noah, Riley, and Aurora. Lucas told you that Mia is an altruist if and only if (if (Noah is an egoist or Noah is an altruist) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4]... | {"split": "train", "index": 16177} |
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: Charlotte, Luke, Evelyn, Aiden, and Jackson. Charlotte said that ((Aiden is a pioneer and Aiden is a laggard) and (Aiden is a laggard and Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 622, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<... | {"split": "train", "index": 16178} |
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, Lily, Harper, Ella, and Owen. \"it is not the case that ((Harper is a sage or Owen is a sage or Logan is a sage) or (Harper is a fool or Owen is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [... | {"split": "train", "index": 16179} |
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, Emma, Oliver, Jack, and Ethan. In a statement by Ella: \"((Emma is a knave or Oliver is a knight or Emma is a knight) or (if Ethan is a knave t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"tel... | {"split": "train", "index": 16180} |
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: Lily, Noah, Logan, Emma, and Grace. According to Lily, \"if ((Grace is a fool and Emma is a sage and Logan is a sage) and (Noah is a sage and Emma is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 16181} |
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: Grace, Logan, Chloe, Jacob, and Benjamin. \"(if (Benjamin is a sinner and Benjamin is a saint) then (Grace is a sinner)) if and only if ((Logan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 626, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]], [\"... | {"split": "train", "index": 16182} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, Jacob, Victoria, Ava, and Luke. Evelyn said, \"Ava is a sinner.\" In Jacob's words: \"it is not the case that (if Luke is a sinner then (Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 627, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-tr... | {"split": "train", "index": 16183} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Noah, Olivia, Penelope, and Jacob. As Michael put it, \"Penelope is a sage\". Noah said that Jacob is a fool. In Olivia's words: \"if ((Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 628, \"statements\": [[\"telling-truth\", 3], [\"lying\", 4], [\"->\", [\"or\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 16184} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Noah, Victoria, Lucas, and James. Aiden said that (Lucas is a devil) or ((if Aiden is an angel then Lucas is an angel) and (if Aiden is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 629, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"and\", [\"or\", [\"<=>\", [\"telling-... | {"split": "train", "index": 16185} |
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: Liam, Isabella, Samuel, Abigail, and Aria. \"(if (Abigail is an altruist) then Samuel is an altruist) and (Abigail is an egoist if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 630, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth... | {"split": "train", "index": 16186} |
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, Harper, Ava, Jacob, and Lucas. Noah was heard saying, \"if ((Lucas is a saint) if and only if (Ava is a sinner if and only if Harper is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 631, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2... | {"split": "train", "index": 16187} |
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, Ella, Daniel, Amelia, and Lucas. According to Michael, \"it is not the case that (Lucas is a saint and (Ella is a saint))\". According to El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 632, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\... | {"split": "train", "index": 16188} |
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: Riley, Emily, Aria, Alexander, and Mia. \"(it is not the case that (Mia is an angel and Aria is a devil)) if and only if ((if Alexander is an angel the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 633, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 2]]]], [\"or\", [\"not\", ... | {"split": "train", "index": 16189} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Logan, Henry, Joseph, and Liam. Charlotte expressed that if Joseph is an altruist then (it is not the case that (Liam is an egoist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 634, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-tr... | {"split": "train", "index": 16190} |
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, Ava, Elizabeth, Sofia, and Aurora. As Lily put it, \"Elizabeth is a pioneer\". \"Lily is a laggard,\" Ava claimed. Elizabeth noted, \"((S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"telling-truth\", 2], [\"lying\", 0], [\"and\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lyin... | {"split": "train", "index": 16191} |
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: Charlotte, Sophia, Luke, Samuel, and Lily. As Charlotte put it, \"if ((Lily is a villain or Sophia is a villain) and (Charlotte is a hero if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 636, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"<=>\"... | {"split": "train", "index": 16192} |
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: Matthew, Benjamin, Charlotte, Isabella, and David. Matthew remarked, \"Charlotte is a fool\". Benjamin stated, \"((David is a fool and Isabella is a fool a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 637, \"statements\": [[\"lying\", 2], [\"<=>\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 3], [\"ly... | {"split": "train", "index": 16193} |
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: Scarlett, Benjamin, Daniel, Amelia, and Ethan. \"Ethan is a pioneer,\" Scarlett claimed. In Benjamin's words: \"Daniel is a pioneer\". \"Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 638, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"lying\", 3], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]], [\"->\... | {"split": "train", "index": 16194} |
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, Sofia, Ava, Ethan, and Abigail. Noah expressed that (Ethan is an altruist and (Abigail is an altruist and Sofia is an egoist and Ava is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 639, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 16195} |
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, Oliver, Samuel, Zoey, and James. \"James is an egoist or (it is not the case that (Zoey is an egoist)),\" Joseph mentioned. According t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 640, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<... | {"split": "train", "index": 16196} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mason, Ella, David, Amelia, and Owen. \"it is not the case that (Owen is a sinner and (if Amelia is a sinner then David is a saint)),\" Mason claimed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 641, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]]]], [\"or\", [\"telling-truth\"... | {"split": "train", "index": 16197} |
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: William, Lily, Jack, Benjamin, and Ava. William told you that (it is not the case that (if Ava is a devil then Ava is an angel)) if and only if (if (Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 642, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth... | {"split": "train", "index": 16198} |
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, Lily, Alexander, Ethan, and Riley. Liam stated, \"Alexander is a saint or Riley is a saint\". Lily told you that Liam is a sinner. \"(it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 643, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 0], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"lying\", 1]], [\"->\... | {"split": "train", "index": 16199} |
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