data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
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 9 inhabitants: Riley, Aiden, Luke, Logan, Grace, Noah, Elizabeth, Sebastian, and Scarlett. Riley noted, \"if (Scarlett is a devil and (Logan is an angel and Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 166, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 5]]]], [\"->\", [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [... | {"split": "train", "index": 13500} |
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 9 inhabitants: Joseph, Luke, Sebastian, Zoey, Mason, Ella, Jack, Mia, and Abigail. \"(Jack is a knave if and only if Joseph is a knight) and ((Zoey is a knave if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 167, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 8]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 5], [\... | {"split": "train", "index": 13501} |
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 9 inhabitants: Charlotte, Victoria, Oliver, Sofia, Grace, Isabella, Jack, Jacob, and Michael. In a statement by Charlotte: \"((Michael is a saint or Victoria is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 168, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 6],... | {"split": "train", "index": 13502} |
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 9 inhabitants: William, Emma, Joseph, Chloe, Amelia, Isabella, Daniel, Elizabeth, and Penelope. \"Joseph is a knave and ((Amelia is a knight) and (Chloe is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 169, \"statements\": [[\"and\", [\"lying\", 2], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"telling-... | {"split": "train", "index": 13503} |
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 9 inhabitants: Zoey, Daniel, Charlotte, Chloe, Aria, Olivia, Victoria, Sofia, and Jack. Zoey said, \"((if Charlotte is a fool then Sofia is a sage) and Charlotte is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 170, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 7]], [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]]]]... | {"split": "train", "index": 13504} |
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 9 inhabitants: Chloe, Ava, Olivia, Mia, Oliver, Lucas, Amelia, Matthew, and Liam. As Chloe put it, \"Olivia is a villain\". \"((Chloe is a villain if and only if Am... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 171, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 6]], [\"lying\", 6]], [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 3]], [\"telling-truth\", 7... | {"split": "train", "index": 13505} |
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 9 inhabitants: Scarlett, David, Aria, Matthew, Elizabeth, Emily, Aiden, Isabella, and Riley. As Scarlett put it, \"if Scarlett is an altruist then ((David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 172, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7]], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-tru... | {"split": "train", "index": 13506} |
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 9 inhabitants: Oliver, Penelope, Aurora, Alexander, Avery, Scarlett, Charlotte, Mason, and Victoria. Oliver remarked, \"Alexander is a devil\". Penelope told you that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 173, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\... | {"split": "train", "index": 13507} |
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 9 inhabitants: Emily, Aurora, Aiden, Lily, Penelope, Ethan, Avery, Harper, and Emma. As Emily put it, \"if (if (Aurora is a knave or Penelope is a knight) then (Emi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 174, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"telling-truth\", 7]], [\"and\", [\"->\", [\"or\", [\"lying\", 4], [\"lying... | {"split": "train", "index": 13508} |
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 9 inhabitants: Ava, Henry, Avery, Riley, Michael, Emily, Aria, Daniel, and Lily. \"Avery is a devil,\" Ava mentioned. Henry asserted: \"if ((if Riley is a devil then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 175, \"statements\": [[\"lying\", 2], [\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"or\", [\"lying\", 0], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telli... | {"split": "train", "index": 13509} |
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 9 inhabitants: Aria, Matthew, Elizabeth, Lucas, Isabella, Jacob, Noah, Mason, and Lily. According to Aria, \"Isabella is a fool or (Mason is a sage)\". Matthew commented,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 176, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"lying\", 7]]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]]], [\"ly... | {"split": "train", "index": 13510} |
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 9 inhabitants: William, Alexander, Penelope, Noah, Ella, Chloe, Emma, Samuel, and Evelyn. \"Ella is a sage,\" William mentioned. In a statement by Alexander: \"((Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 177, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 7]], [\"not\", [\"lying\", 5]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6]], [\"not\", [\"lying\", 6]]]], [\... | {"split": "train", "index": 13511} |
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 9 inhabitants: Matthew, Victoria, Noah, Elizabeth, Isabella, Charlotte, Emma, Jack, and Avery. Matthew told you that (it is not the case that (if Avery is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"lying\", 7]], [\"lying\", 3], [\"<=>\", [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 6]], [\"or\", [\"lying\", 1], [\"tel... | {"split": "train", "index": 13512} |
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 9 inhabitants: Ethan, Chloe, Sebastian, Sophia, Amelia, Isabella, Luke, Mason, and Jack. \"((Chloe is a sage and Sebastian is a sage) and (Isabella is a fool and Luke is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 179, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 5], [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"not\", [\"lying\"... | {"split": "train", "index": 13513} |
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 9 inhabitants: Victoria, Aurora, Scarlett, Liam, Olivia, Charlotte, Lily, Avery, and Grace. Victoria asserted: \"(if (Aurora is a saint) then (Avery is a sinner if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 180, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"or\", [\"telling-truth\", 0]... | {"split": "train", "index": 13514} |
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 9 inhabitants: Mason, Chloe, Ava, James, Emily, Daniel, Scarlett, Evelyn, and Amelia. \"if ((James is a sinner if and only if Daniel is a sinner) if and only if (Sc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 181, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"lying\", 6]]], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 13515} |
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 9 inhabitants: Henry, Aurora, Noah, Sofia, Scarlett, Ava, Avery, Alexander, and Evelyn. As Henry put it, \"it is not the case that ((Noah is a hero if and only if S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 182, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"<=>\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"->\",... | {"split": "train", "index": 13516} |
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 9 inhabitants: Sophia, Charlotte, Riley, Luke, Ella, Benjamin, Owen, Mason, and Scarlett. In Sophia's words: \"(it is not the case that (Luke is a villain and Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 183, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 8]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\... | {"split": "train", "index": 13517} |
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 9 inhabitants: Henry, Avery, Michael, Aria, Emily, Samuel, Sebastian, Grace, and David. \"(if (Samuel is a sage or Michael is a sage) then Emily is a fool) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 184, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 2]]]], [\"not\", [\"n... | {"split": "train", "index": 13518} |
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 9 inhabitants: Emily, Evelyn, Sebastian, Oliver, Ava, Mia, Harper, Henry, and Aria. As Emily put it, \"((Aria is a saint and Henry is a saint) and (Oliver is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 185, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"and\", [... | {"split": "train", "index": 13519} |
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 9 inhabitants: Jack, Mia, Mason, Ethan, Victoria, Aria, William, Noah, and Jacob. Jack commented, \"((if Victoria is a sage then Mia is a sage) or (Mia is a fool)) and Et... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 3]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]], [\"o... | {"split": "train", "index": 13520} |
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 9 inhabitants: Jack, Daniel, Scarlett, Oliver, Alexander, Elizabeth, Isabella, James, and Jackson. Jack expressed that Elizabeth is a saint. Daniel commented, \"Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 187, \"statements\": [[\"telling-truth\", 5], [\"telling-truth\", 2], [\"telling-truth\", 5], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"<=>\", [... | {"split": "train", "index": 13521} |
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 9 inhabitants: Amelia, Elizabeth, David, Penelope, Lucas, Mia, Jacob, Abigail, and Matthew. \"if (Abigail is a saint or (Elizabeth is a saint and Elizabeth is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 3]]]], [\"->\", [\"telling-t... | {"split": "train", "index": 13522} |
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 9 inhabitants: Avery, Jackson, Penelope, Logan, Ethan, Aurora, Luke, Owen, and Emily. \"it is not the case that ((Ethan is a saint or Penelope is a saint) or (if Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]]]], [\"lying\", 5], [\"telling-truth\", 0], [\"or\", [\"not\", [\"->\",... | {"split": "train", "index": 13523} |
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 9 inhabitants: Evelyn, Victoria, James, Lucas, Aiden, Zoey, Owen, Abigail, and Emily. As Evelyn put it, \"(if (if Owen is a villain then Lucas is a villain) then (O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]... | {"split": "train", "index": 13524} |
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 9 inhabitants: Ella, Aria, Emily, Jacob, Jack, Chloe, Mia, Matthew, and Emma. \"if ((Aria is a villain if and only if Emily is a hero) and (Jack is a villain if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2]], [\"lying\", 7]]], [\"<... | {"split": "train", "index": 13525} |
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 9 inhabitants: Alexander, Charlotte, Aurora, Aria, Logan, Grace, Isabella, Amelia, and William. In Alexander's words: \"((Charlotte is a villain if and only if Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 0]], [\"or\", [\"lyi... | {"split": "train", "index": 13526} |
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 9 inhabitants: Victoria, Evelyn, Harper, James, Zoey, Noah, Emma, Ella, and Aiden. Victoria remarked, \"((Ella is a fool and Ella is a sage) or (James is a fool or Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"not\", [\"lyi... | {"split": "train", "index": 13527} |
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 9 inhabitants: Aiden, Ava, Abigail, Isabella, Ethan, Lucas, Mia, Scarlett, and Emily. Aiden remarked, \"it is not the case that (if (Mia is a fool if and only if Isabella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"lying\", 8]]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 0], [\"lying\", 6]]], [\"or\", [\"->\", [\"telli... | {"split": "train", "index": 13528} |
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 9 inhabitants: Sophia, Ava, Ethan, Daniel, Alexander, Joseph, Evelyn, Benjamin, and Owen. In Sophia's words: \"it is not the case that (if (Ethan is a sage and Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3... | {"split": "train", "index": 13529} |
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 9 inhabitants: Aurora, Sofia, Sebastian, Elizabeth, Aria, Abigail, Isabella, Owen, and Michael. Aurora commented, \"(it is not the case that (Isabella is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]]]], [\"lying\", 2... | {"split": "train", "index": 13530} |
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 9 inhabitants: Henry, James, Zoey, David, Amelia, Matthew, Oliver, Michael, and Noah. Henry said that Michael is a knave if and only if ((Oliver is a knave if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"<=>\", [\"lying\", 7], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 7]]]], [\"not\", [\"lying\", 7]], [\"or\", [\"->\", [\"and\", [\"telling... | {"split": "train", "index": 13531} |
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 9 inhabitants: William, Victoria, Isabella, Daniel, Ella, Ethan, Sofia, Benjamin, and Mia. William was heard saying, \"Ella is a pioneer and ((Ella is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", ... | {"split": "train", "index": 13532} |
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 9 inhabitants: Sofia, Amelia, Alexander, Sebastian, Chloe, Luke, Penelope, Grace, and Aurora. \"((Luke is a sage and Aurora is a fool) if and only if (Grace is a fool or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"or\", [\"te... | {"split": "train", "index": 13533} |
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 9 inhabitants: Henry, Chloe, Sophia, Matthew, Grace, William, Sofia, Noah, and Logan. Henry asserted: \"Grace is an egoist and ((if William is an egoist then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 8]], [\"lying\", 4]]], [\"or\", [\"lying\", 8], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]]], [\"or\", [\"-... | {"split": "train", "index": 13534} |
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 9 inhabitants: Sofia, Harper, Matthew, Henry, James, Isabella, Penelope, Oliver, and Riley. \"it is not the case that ((Sofia is a sinner) if and only if (Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 5]]]], [\"and\", [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"not\", [\"lying\", 5]]], [\"and\", [\"<=... | {"split": "train", "index": 13535} |
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 9 inhabitants: Joseph, Oliver, Emma, Mia, Abigail, Charlotte, Lily, Ella, and Riley. Joseph expressed that it is not the case that ((if Abigail is a villain then Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 5]]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"lying\", 2]]], [\"not\", [\... | {"split": "train", "index": 13536} |
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 9 inhabitants: William, Lucas, Isabella, Mason, Luke, Ella, Amelia, Logan, and Henry. William expressed that if ((Henry is a knave and Mason is a knave) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"and\", [\"lying\", 1], [\"telling-... | {"split": "train", "index": 13537} |
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 9 inhabitants: Luke, Charlotte, Ava, Joseph, Logan, Daniel, Abigail, Victoria, and Avery. As Luke put it, \"if Luke is a saint then ((Joseph is a saint and Logan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 6]]]], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"and\", [\"ly... | {"split": "train", "index": 13538} |
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 9 inhabitants: Sophia, Liam, Elizabeth, Michael, Henry, James, Jacob, Avery, and Benjamin. \"it is not the case that ((James is a fool) if and only if (Liam is a fool and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 1], [\"telling-truth\", 8]]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"or\", [\"telling-truth... | {"split": "train", "index": 13539} |
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 9 inhabitants: Jacob, Scarlett, Aria, Michael, Daniel, Aiden, Benjamin, Ethan, and Chloe. Jacob asserted: \"Daniel is an angel if and only if (if (Aria is a devil if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]], [\"->\", [\"lying\", 3], [\"lying\", 6]]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"not\", [\"telling-truth\", 7... | {"split": "train", "index": 13540} |
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 9 inhabitants: Samuel, Riley, Elizabeth, Jack, Olivia, David, Zoey, Matthew, and Abigail. Samuel told you that if (Matthew is an angel if and only if (David is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 6]]], [\"telling-trut... | {"split": "train", "index": 13541} |
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 9 inhabitants: Ethan, Oliver, Jack, Alexander, Liam, Lucas, Ava, Abigail, and Sophia. Ethan stated, \"Lucas is a pioneer\". Oliver said that Alexander is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"lying\", 3], [\"not\", [\"not\", [\"lying\", 7]]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 0]]], [\"or\", [\"or\", [\"telling-trut... | {"split": "train", "index": 13542} |
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 9 inhabitants: Jacob, Matthew, Joseph, Noah, Oliver, Ella, Logan, William, and Grace. \"((Logan is a hero or Joseph is a hero) or (if Joseph is a villain then Willi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 7]]], [\"and\", [\"lying\", 7], [\"and\", [\"lying\", 8], [\"telling-truth\", 8]]]], [\"<=>... | {"split": "train", "index": 13543} |
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 9 inhabitants: Samuel, Joseph, Matthew, Olivia, Logan, Mia, Ava, Henry, and Aurora. As Samuel put it, \"it is not the case that (Henry is a laggard or (Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"not\", [\"or\", [\"lying\", 7], [\"or\", [\"telling-truth\", 7], [\"lying\", 4]]]], [\"not\", [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 5]]]], [\"lying\", 8], [\"->\", [\"lying\", 5], [\"->\", [\"... | {"split": "train", "index": 13544} |
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 9 inhabitants: Elizabeth, Henry, David, Ava, Aiden, Abigail, Alexander, Mia, and Ethan. Elizabeth commented, \"it is not the case that ((Alexander is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\"... | {"split": "train", "index": 13545} |
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 9 inhabitants: Jack, Daniel, Ella, Jacob, Sofia, Ava, Abigail, Elizabeth, and Liam. In a statement by Jack: \"Liam is a sage\". Daniel stated, \"if Ella is a sage then (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]]]], [\"and\", [\"lying\", 3], [\"not\", [\"<=>\", [\"lyi... | {"split": "train", "index": 13546} |
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 9 inhabitants: Samuel, Sophia, Henry, Scarlett, Joseph, Jack, Noah, Emma, and Logan. Samuel said that Jack is a sage. As Sophia put it, \"Joseph is a fool\". In a stateme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"telling-truth\", 5], [\"lying\", 4], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"telling-truth\", 8]], [\"telling-truth\"... | {"split": "train", "index": 13547} |
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 9 inhabitants: Ava, Jack, Charlotte, Isabella, Elizabeth, Lily, Liam, Abigail, and Emily. \"Emily is a laggard\" - Ava. Jack remarked, \"(it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"lying\", 8], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"not\", [\"tellin... | {"split": "train", "index": 13548} |
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 9 inhabitants: James, Penelope, Emma, Sebastian, Abigail, Elizabeth, Noah, Grace, and Isabella. \"(if (if James is a knight then Grace is a knight) then (if Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\"... | {"split": "train", "index": 13549} |
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 9 inhabitants: Owen, David, Emma, Sophia, Penelope, Chloe, Jacob, Olivia, and Charlotte. \"it is not the case that (if (Chloe is a villain) then (David is a hero)),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7]], [\"and\", [\"lying\", 8], [\"telling-truth\", 6]]], ... | {"split": "train", "index": 13550} |
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 9 inhabitants: Isabella, Victoria, Joseph, Elizabeth, Jackson, Jack, Owen, Henry, and Avery. In Isabella's words: \"if ((Victoria is a villain if and only if Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 8], [\"or\", [\"telling-truth\", 7], [\"lying\", 7]]]], [\"o... | {"split": "train", "index": 13551} |
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 9 inhabitants: Samuel, Ava, Charlotte, Jacob, Penelope, Mia, Riley, Luke, and Avery. In Samuel's words: \"(Luke is a hero or (Mia is a villain or Ava is a hero)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 7], [\"or\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"lying\", 7]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 5... | {"split": "train", "index": 13552} |
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 9 inhabitants: Owen, Amelia, Henry, Mia, Jacob, Ethan, Alexander, Benjamin, and Luke. Owen said that Amelia is an angel. \"Luke is a devil\" - Amelia. Henry said that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"telling-truth\", 1], [\"lying\", 8], [\"or\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"and\", [\"lying\",... | {"split": "train", "index": 13553} |
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 9 inhabitants: Benjamin, Samuel, Riley, Evelyn, Luke, Henry, Sofia, Victoria, and Amelia. Benjamin asserted: \"if ((Evelyn is an altruist if and only if Riley... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"lying\", 6]]]], [\"or\", [\"not\", [\"and\", [\"telli... | {"split": "train", "index": 13554} |
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 9 inhabitants: Ella, Aurora, Scarlett, Logan, Riley, Lucas, Oliver, Elizabeth, and Penelope. Ella remarked, \"((Lucas is an angel and Oliver is a devil) and Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6]], [\"telling-truth\", 6]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"... | {"split": "train", "index": 13555} |
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 9 inhabitants: Chloe, Charlotte, Sebastian, Ava, Evelyn, Aurora, Benjamin, Zoey, and Harper. Chloe told you that Ava is an altruist. Charlotte asserted: \"Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"and\", [\"tel... | {"split": "train", "index": 13556} |
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 9 inhabitants: Scarlett, Harper, Sofia, Aiden, Zoey, Isabella, William, Lily, and Jackson. Scarlett was heard saying, \"((Harper is a hero or Zoey is a villain) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-t... | {"split": "train", "index": 13557} |
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 9 inhabitants: Ella, Jack, Elizabeth, Evelyn, James, Sofia, Zoey, Alexander, and Emily. \"Elizabeth is a saint,\" Ella mentioned. Jack said that Zoey is a saint. In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 6], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"lying\", 7]]]], [\"not\", [\"not\", [\"not\", [\"lying\", 4]]]], [\"<=>\",... | {"split": "train", "index": 13558} |
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 9 inhabitants: Riley, Lily, Jackson, Elizabeth, James, Michael, Scarlett, Zoey, and Emma. Riley expressed that Scarlett is a saint. \"it is not the case that ((if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"not\", [\"lying\", 6]], [\"not\", [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 5]]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\... | {"split": "train", "index": 13559} |
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 9 inhabitants: Amelia, Aria, Mia, Emily, Sebastian, William, Grace, Joseph, and Noah. Amelia said, \"((Sebastian is a saint) and Noah is a saint) and Aria is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 8]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"l... | {"split": "train", "index": 13560} |
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 9 inhabitants: Chloe, Alexander, Amelia, Owen, Liam, Grace, Abigail, Jackson, and Benjamin. Chloe expressed that if (if (Benjamin is a knight if and only if Benjami... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"telling-truth\", 2]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"telling-truth\", 8]]], [\"not\", [\"not... | {"split": "train", "index": 13561} |
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 9 inhabitants: Emma, Sofia, Victoria, Mason, Lucas, Matthew, Aria, Sophia, and Benjamin. According to Emma, \"if ((if Benjamin is a laggard then Mason is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6]]]], [\"or\", [\"and\", [\... | {"split": "train", "index": 13562} |
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 9 inhabitants: Logan, Jack, Scarlett, Aria, Luke, Ava, Penelope, Emily, and Alexander. Logan noted, \"if Jack is an angel then (if (Penelope is an angel or Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lyin... | {"split": "train", "index": 13563} |
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 9 inhabitants: Grace, Zoey, Riley, Abigail, Aiden, Henry, Mia, Jacob, and Noah. Grace told you that Jacob is an altruist. \"((Abigail is an altruist) and (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"or\", [\"lying\", 8], [\"->\", [\"telling-truth\", 4], [\"lying\", 8]]]], [\"->\", [\"te... | {"split": "train", "index": 13564} |
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 9 inhabitants: Oliver, Owen, Ava, Harper, Alexander, Samuel, Victoria, David, and Jack. In Oliver's words: \"David is a knight\". \"Jack is a knight,\" Owen mention... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"not\", [\"lying\", 7]], [\"telling-truth\", 8], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"telling-truth\", 5]]], [\"lying\", 6], [\"or\", [\"<=>\", [\"not\", [\"telling-t... | {"split": "train", "index": 13565} |
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 9 inhabitants: Noah, Sophia, Jack, Jackson, Zoey, Penelope, David, Chloe, and Ella. In a statement by Noah: \"Ella is a pioneer\". Sophia expressed that it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]]]], [\"->\", [\"->\", [\"lying\", 6], [\"and\", [\"lying\", 0], [\"lying\", 8]]], [\"or\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 13566} |
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 9 inhabitants: Lucas, Sophia, Liam, Ava, Owen, Benjamin, Ella, Sebastian, and Noah. In Lucas's words: \"((Ava is a sinner) and (if Sebastian is a saint then Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"lying\", 8]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"no... | {"split": "train", "index": 13567} |
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 9 inhabitants: Victoria, Aiden, Mason, Emily, Oliver, Samuel, Aurora, Abigail, and Sofia. As Victoria put it, \"((Aiden is a fool if and only if Abigail is a sage) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]], [\"and\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"->\", [\"lying\", 3], [\... | {"split": "train", "index": 13568} |
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 9 inhabitants: Chloe, Henry, Jackson, Isabella, Olivia, Mia, Noah, Amelia, and David. Chloe commented, \"if (it is not the case that (Amelia is a saint or Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", ... | {"split": "train", "index": 13569} |
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 9 inhabitants: James, Victoria, Sofia, Avery, Logan, Charlotte, Liam, Elizabeth, and Zoey. In a statement by James: \"Liam is a fool\". \"((Elizabeth is a fool) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 4]], [\"->\", [\"telling... | {"split": "train", "index": 13570} |
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 9 inhabitants: Sophia, Ethan, James, Lucas, Daniel, Luke, Jackson, Ella, and Matthew. Sophia asserted: \"Luke is a pioneer if and only if ((Luke is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"and\", [\"lying... | {"split": "train", "index": 13571} |
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 9 inhabitants: Luke, Oliver, Jack, Alexander, Emily, Owen, Ella, Michael, and Sofia. In a statement by Luke: \"((if Michael is a pioneer then Emily is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 7]], [\"not\",... | {"split": "train", "index": 13572} |
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 9 inhabitants: Henry, Oliver, Grace, Riley, Olivia, Joseph, Amelia, Abigail, and Evelyn. In a statement by Henry: \"it is not the case that (if (Evelyn is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0]], [\"->\", [\"lying\", 6], [\"telling-truth\", 0]]]], [\"or\", [\"->\", [\"not\", [\"lying\", 5]], [\"lying\", 7]], [\"<=>\", [\"and\", ... | {"split": "train", "index": 13573} |
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 9 inhabitants: Aurora, Sofia, Ava, Henry, Matthew, William, Victoria, Logan, and Penelope. \"William is a sage and Ava is a fool,\" Aurora claimed. Sofia asserted: \"(it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"lying\", 2]], [\"and\", [\"not\", [\"or\", [\"lying\", 5], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 5... | {"split": "train", "index": 13574} |
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 9 inhabitants: Penelope, David, Liam, Elizabeth, Mason, Emily, Jacob, Lucas, and Ava. \"it is not the case that (it is not the case that (Lucas is a sinner if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 8]]]], [\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"not\", [\"lying\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 7],... | {"split": "train", "index": 13575} |
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 9 inhabitants: Henry, Jack, Mia, Daniel, Victoria, Sophia, Luke, Matthew, and Liam. \"if Luke is a sage then ((Jack is a fool or Henry is a sage) and (if Matthew is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 13576} |
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 9 inhabitants: Isabella, Charlotte, Olivia, Evelyn, Mason, Liam, Sebastian, Emily, and Victoria. Isabella commented, \"Victoria is a pioneer\". Charlotte comm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"and\", [\"lying\", 5], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"or\", [\... | {"split": "train", "index": 13577} |
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 9 inhabitants: David, Victoria, Ella, Emily, Noah, Amelia, Riley, Isabella, and Ava. In a statement by David: \"(if Isabella is a knight then (Noah is a knight if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 0]]]], [\"and\"... | {"split": "train", "index": 13578} |
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 9 inhabitants: Avery, Logan, Evelyn, Henry, Daniel, Benjamin, William, Riley, and Ava. \"if (it is not the case that (Ava is a hero)) then (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3]]]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]], [\"->\", [\"lyin... | {"split": "train", "index": 13579} |
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 9 inhabitants: Owen, Oliver, Penelope, Noah, Joseph, Logan, Mia, Lily, and Aria. Owen said that (if (if Oliver is a sinner then Mia is a sinner) then (Joseph is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 3], [\"tel... | {"split": "train", "index": 13580} |
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 9 inhabitants: Matthew, Daniel, Emma, Emily, Aria, Victoria, Alexander, William, and Amelia. As Matthew put it, \"(it is not the case that (Victoria is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"and\", [\"lying\", 7], [\"not\", [\"lying\", 7]]]], [\"lying\", 4], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 13581} |
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 9 inhabitants: Victoria, Penelope, Noah, Zoey, Abigail, David, Sofia, Olivia, and Amelia. Victoria stated, \"((Amelia is an egoist or Noah is an egoist) or (P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]]]], [\"not\", [\"n... | {"split": "train", "index": 13582} |
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 9 inhabitants: Aiden, Riley, Luke, Scarlett, Harper, Sophia, Emily, Daniel, and Isabella. Aiden commented, \"(if (Riley is a laggard) then (Riley is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"or\", [\"lying\", 6], [\"telling-t... | {"split": "train", "index": 13583} |
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 9 inhabitants: Harper, Aiden, Joseph, Sofia, Scarlett, Lily, Alexander, Elizabeth, and Jack. Harper asserted: \"(it is not the case that (if Jack is a knave then El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4]]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 1], [\"telling... | {"split": "train", "index": 13584} |
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 9 inhabitants: Sebastian, Sophia, Noah, Emma, Isabella, Liam, Scarlett, James, and Benjamin. Sebastian said that if (Noah is a knight or (Noah is a knight)) then ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 8]], [\"->\", [\"lying\", 5], [\"lying\", 1]]]], [\"->\", [\"lying\", 0], [\"and... | {"split": "train", "index": 13585} |
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 9 inhabitants: Evelyn, Sofia, Riley, Noah, Harper, Henry, Ethan, Victoria, and Alexander. As Evelyn put it, \"(if Riley is a sinner then Henry is a sinner) or ((Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 5]]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"or\", [\"l... | {"split": "train", "index": 13586} |
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 9 inhabitants: Evelyn, Aria, Ella, Sophia, Sebastian, Jackson, Scarlett, Emily, and Noah. According to Evelyn, \"(it is not the case that (Scarlett is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]]], [\"telling-truth\", 8]], [\"and\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 7]]], [\"lying\", 8]], [... | {"split": "train", "index": 13587} |
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 9 inhabitants: Jackson, Lily, Mason, Benjamin, Sebastian, Sophia, William, Noah, and David. Jackson said that Mason is a hero. Lily noted, \"if (if (Jackson is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\"... | {"split": "train", "index": 13588} |
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 9 inhabitants: Logan, Henry, Mia, Joseph, Scarlett, Daniel, Sofia, Harper, and Isabella. In Logan's words: \"((Logan is an angel if and only if Isabella is an angel) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]]], [\"<=>\", [\... | {"split": "train", "index": 13589} |
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 9 inhabitants: Aiden, Joseph, Avery, Henry, Ava, Evelyn, Abigail, Sofia, and Lily. Aiden asserted: \"((Henry is a hero if and only if Evelyn is a villain) or (Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"not\", [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]]], [\"->\",... | {"split": "train", "index": 13590} |
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 9 inhabitants: Avery, Aiden, Oliver, Alexander, Ava, Michael, Lucas, Owen, and Sofia. According to Avery, \"Michael is a hero\". Aiden said, \"Michael is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 5], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]]]], [\"or\", [\"<=>\", [\"<=>\", [\"telling... | {"split": "train", "index": 13591} |
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 9 inhabitants: Grace, Zoey, Sebastian, Owen, David, Noah, Abigail, Isabella, and Ella. According to Grace, \"((Isabella is a hero if and only if Noah is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth... | {"split": "train", "index": 13592} |
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 9 inhabitants: Liam, Olivia, James, Aurora, William, Daniel, Victoria, Penelope, and Grace. Liam told you that (if (Aurora is a knight and Liam is a knight) then (W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]], [\"->\", [\"te... | {"split": "train", "index": 13593} |
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 9 inhabitants: Amelia, Samuel, Liam, Matthew, Jacob, Benjamin, Charlotte, Aurora, and Lily. Amelia stated, \"((Benjamin is a saint if and only if Matthew is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"->\", [\"t... | {"split": "train", "index": 13594} |
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 9 inhabitants: William, Samuel, Lucas, Luke, Sebastian, Charlotte, Jacob, Victoria, and Benjamin. William was heard saying, \"it is not the case that (if (Lucas is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\... | {"split": "train", "index": 13595} |
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 9 inhabitants: Abigail, Charlotte, Grace, Avery, Liam, Sebastian, Harper, Joseph, and Owen. Abigail stated, \"if Abigail is an angel then (if (Joseph is an angel if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 5], [\"lying\", 5]]]], [\"lying\", 0], [\"->\", [\"->\", [\"<=>\", [\"tel... | {"split": "train", "index": 13596} |
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 9 inhabitants: Lucas, Noah, Henry, Emily, Evelyn, Sebastian, Benjamin, Ava, and Ella. Lucas noted, \"(it is not the case that (if Sebastian is a pioneer then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\... | {"split": "train", "index": 13597} |
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 9 inhabitants: Ella, Ethan, Lily, Lucas, James, Alexander, Samuel, Logan, and Owen. Ella said that if James is an angel then ((if Ethan is an angel then James is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 0]]]], [\"->\", [\"lying\", 5], [\"<=>\", [\"not\", [\"lying\", 5... | {"split": "train", "index": 13598} |
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 9 inhabitants: Alexander, Chloe, Grace, Ava, Matthew, Jacob, Riley, Lucas, and Noah. Alexander noted, \"it is not the case that ((Matthew is a pioneer) and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"<=>\", [\"telli... | {"split": "train", "index": 13599} |
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