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: Ella, Mason, Noah, Aurora, and Lucas. Ella noted, \"(Noah is a villain if and only if (Noah is a villain)) if and only if ((if Noah is a villain then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\... | {"split": "train", "index": 19500} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sophia, Abigail, Noah, Avery, and David. Sophia said, \"(it is not the case that (Abigail is a devil or David is a devil)) and (if (Abigail is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"lying\", 1], [\"not\", [\"lying... | {"split": "train", "index": 19501} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Emily, Ella, Isabella, and Lily. Evelyn told you that (if (Ella is a hero and Emily is a villain) then (Isabella is a hero or Emily is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-tr... | {"split": "train", "index": 19502} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Emma, Zoey, David, and Jack. In Benjamin's words: \"it is not the case that (if (David is a laggard and Jack is a laggard and David i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-... | {"split": "train", "index": 19503} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Lily, Sebastian, Luke, and Charlotte. \"Lily is a saint,\" Avery declared. Lily stated, \"it is not the case that ((Luke is a sinner and Luke ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\",... | {"split": "train", "index": 19504} |
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: Abigail, Chloe, Charlotte, Sofia, and Ethan. Abigail said that it is not the case that (it is not the case that (if Ethan is a pioneer then Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 19505} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Zoey, Amelia, Scarlett, and Grace. \"(it is not the case that (Scarlett is a hero if and only if Grace is a hero)) if and only if ((if Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 19506} |
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: Owen, Michael, Charlotte, Ethan, and Logan. According to Owen, \"Logan is an egoist if and only if (it is not the case that (Owen is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"<=>\", [\"lying\", 4], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]]]], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"t... | {"split": "train", "index": 19507} |
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, James, Riley, Liam, and Logan. Joseph stated, \"if Liam is a hero then (if (Riley is a hero) then (Joseph is a hero or James is a villain))\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 19508} |
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, Evelyn, Liam, Isabella, and Amelia. Grace expressed that (if (if Isabella is a saint then Grace is a saint) then Isabella is a sinner) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 19509} |
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, Harper, Jackson, Sebastian, and Michael. Scarlett noted, \"if (Sebastian is a laggard) then ((Jackson is a pioneer or Jackson is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]]... | {"split": "train", "index": 19510} |
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: Liam, Charlotte, Riley, Scarlett, and Mason. Liam said that ((if Liam is an angel then Charlotte is a devil) and (Charlotte is a devil and Mason is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\"... | {"split": "train", "index": 19511} |
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: Michael, Emma, Owen, Ava, and Grace. Michael told you that ((Emma is an egoist) if and only if (Grace is an egoist)) if and only if ((if Ava is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 19512} |
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, Sofia, Amelia, Sebastian, and Alexander. Henry said, \"((Sebastian is a pioneer or Sebastian is a laggard or Sofia is a laggard) and Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1]], [\"lying\", 1]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [... | {"split": "train", "index": 19513} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Aiden, Zoey, Ethan, and Aria. Mia said that it is not the case that (it is not the case that (Ethan is a fool)). In Aiden's words: \"it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"lying\", 0], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\"... | {"split": "train", "index": 19514} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, Matthew, Isabella, Joseph, and Michael. As Emma put it, \"((Matthew is an angel or Michael is an angel or Joseph is a devil) if and only if Josep... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 3]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 19515} |
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: Amelia, Chloe, Matthew, Emily, and Oliver. \"((Emily is a devil or Matthew is an angel or Oliver is an angel) if and only if (if Matthew is an angel th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telli... | {"split": "train", "index": 19516} |
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: David, Jacob, Henry, Zoey, and Mason. According to David, \"(Mason is a villain if and only if (Zoey is a hero and Jacob is a villain)) or Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"lying\", 1], [\"lying\", 4], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-tru... | {"split": "train", "index": 19517} |
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, Evelyn, Abigail, Victoria, and Jacob. As David put it, \"((Abigail is a devil or Abigail is an angel) and (Evelyn is an angel if and only if Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]]], [\"<=>\", [\"not\", ... | {"split": "train", "index": 19518} |
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: Sofia, Avery, Emily, Ethan, and Lucas. According to Sofia, \"it is not the case that (Avery is a pioneer and (Avery is a pioneer if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"... | {"split": "train", "index": 19519} |
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: Olivia, Jackson, David, Luke, and Sophia. Olivia was heard saying, \"(Jackson is a pioneer and (Sophia is a laggard if and only if Luke is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]],... | {"split": "train", "index": 19520} |
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, Aria, James, Liam, and Avery. According to Lily, \"it is not the case that ((James is a sage and James is a fool) and (James is a fool if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"tellin... | {"split": "train", "index": 19521} |
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: Logan, Aria, Matthew, Evelyn, and Luke. Logan told you that it is not the case that ((if Logan is a saint then Aria is a sinner) and (Evelyn is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 19522} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aiden, Mason, Olivia, Jackson, and Victoria. \"(if (Olivia is a villain if and only if Jackson is a villain) then Victoria is a villain) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4... | {"split": "train", "index": 19523} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Emma, Amelia, David, and Charlotte. Sebastian remarked, \"Emma is an altruist\". Emma remarked, \"(Emma is an altruist and Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3... | {"split": "train", "index": 19524} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Jack, Aurora, Daniel, and Lily. Abigail told you that Daniel is a sinner or ((if Lily is a saint then Aurora is a sinner) and (Aurora is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"or\", [\"lying\", 3], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\... | {"split": "train", "index": 19525} |
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, Sophia, Noah, Sebastian, and Sofia. \"((Sofia is an altruist if and only if Noah is an egoist) if and only if Noah is an egoist) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 2]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 19526} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mason, Sebastian, Ava, Alexander, and Ella. \"if (Alexander is a devil and (Sebastian is an angel and Alexander is a devil and Ella is a devil and Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 19527} |
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: Aiden, Jackson, Scarlett, Grace, and Logan. Aiden was heard saying, \"(Jackson is a laggard and (Scarlett is a laggard) and Jackson is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"or\", [\"tel... | {"split": "train", "index": 19528} |
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, Joseph, Zoey, Scarlett, and Grace. Aurora expressed that Zoey is a sinner. According to Joseph, \"(if (Joseph is a saint if and only if Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"te... | {"split": "train", "index": 19529} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, James, Mia, Aria, and Sophia. In a statement by Jack: \"Aria is a knight if and only if ((Jack is a knight and Mia is a knave) and (James is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"lying... | {"split": "train", "index": 19530} |
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, Henry, Benjamin, Logan, and Ava. Joseph commented, \"Logan is an egoist and (Logan is an egoist if and only if Ava is an egoist) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"-... | {"split": "train", "index": 19531} |
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, Mason, Alexander, Isabella, and Liam. \"(Alexander is a pioneer if and only if (Liam is a pioneer if and only if Isabella is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3... | {"split": "train", "index": 19532} |
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: Grace, Jack, Sophia, Aria, and Victoria. \"(Victoria is an egoist) if and only if ((Sophia is an altruist or Aria is an egoist or Sophia is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"or\"... | {"split": "train", "index": 19533} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Sofia, Mason, Aria, and Noah. Lily expressed that ((if Aria is a knight then Sofia is a knight) or (Sofia is a knave or Noah is a knave)) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"and\", [\"and\", [... | {"split": "train", "index": 19534} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Aiden, Chloe, Victoria, and David. \"David is an angel\" - Logan. According to Aiden, \"it is not the case that (if Chloe is an angel then (if D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"->\", [\"->\... | {"split": "train", "index": 19535} |
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: Amelia, Aria, Samuel, Abigail, and Jack. As Amelia put it, \"(it is not the case that (if Jack is a knight then Aria is a knave)) and ((Aria is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-... | {"split": "train", "index": 19536} |
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: Olivia, Sophia, Oliver, Daniel, and Chloe. As Olivia put it, \"Oliver is a pioneer if and only if ((Oliver is a laggard and Olivia is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 2], [... | {"split": "train", "index": 19537} |
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: Harper, Scarlett, Jacob, Lucas, and Evelyn. Harper noted, \"Evelyn is a pioneer\". \"Harper is a pioneer,\" Scarlett claimed. Jacob told you th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 0], [\"<=>\", [\"tellin... | {"split": "train", "index": 19538} |
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: Riley, Sebastian, Grace, Jack, and Charlotte. Riley noted, \"if ((Sebastian is a hero or Charlotte is a villain or Jack is a villain or Grace is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"... | {"split": "train", "index": 19539} |
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, Charlotte, Oliver, Sebastian, and Victoria. Emma asserted: \"if (if (if Sebastian is a hero then Sebastian is a villain) then Victoria is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"or\", [\"lying\", 0... | {"split": "train", "index": 19540} |
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, Chloe, David, and William. \"if (it is not the case that (David is a pioneer if and only if Daniel is a pioneer)) then (if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"<... | {"split": "train", "index": 19541} |
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, Ella, Scarlett, Aria, and Oliver. Charlotte asserted: \"((Aria is an altruist) or Oliver is an altruist or (if Aria is an egoist the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 4], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 2... | {"split": "train", "index": 19542} |
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, William, Aria, Mason, and Evelyn. \"(if Mason is a laggard then (Evelyn is a laggard and Evelyn is a pioneer and Aria is a pioneer)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"<=>... | {"split": "train", "index": 19543} |
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, Oliver, Ava, Sophia, and Daniel. Matthew commented, \"(Daniel is a sage or (Matthew is a fool) or (Matthew is a sage and Ava is a sage and Oliver ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"lying\", 4], [\... | {"split": "train", "index": 19544} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Benjamin, Jack, Chloe, Evelyn, and Charlotte. \"((Chloe is a fool or Jack is a sage or Jack is a fool or Charlotte is a sage) or (Evelyn is a sage if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 4], [\"->\", [\"telling... | {"split": "train", "index": 19545} |
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: Avery, Penelope, Alexander, Michael, and Harper. Avery stated, \"((Alexander is an altruist if and only if Harper is an altruist) or Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 2], [\"telling-truth\", 3], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-tr... | {"split": "train", "index": 19546} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Mason, Jacob, Amelia, and Matthew. Sebastian asserted: \"if ((Matthew is an altruist if and only if Amelia is an altruist) or (if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"an... | {"split": "train", "index": 19547} |
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, Daniel, David, Grace, and Olivia. Luke noted, \"((if Luke is a hero then Grace is a hero) if and only if (Olivia is a hero and Grace is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 2], ... | {"split": "train", "index": 19548} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Elizabeth, Henry, Chloe, Alexander, and Evelyn. \"it is not the case that ((Chloe is a villain if and only if Henry is a villain) if and only if (Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"lying\", 3], [\"or\", [\"<=>\", [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 19549} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sebastian, Emma, Abigail, Lily, and Benjamin. \"(if (if Emma is a saint then Lily is a sinner) then Abigail is a sinner) if and only if (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 2]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], ... | {"split": "train", "index": 19550} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Owen, Lucas, Daniel, and Alexander. Liam commented, \"(if (Owen is a knight or Daniel is a knight or Lucas is a knight or Alexander is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"->\", [\"lying... | {"split": "train", "index": 19551} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, Emma, Daniel, Ethan, and Chloe. As Mia put it, \"Chloe is a hero\". Emma told you that (it is not the case that (Mia is a villain and Emma is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 19552} |
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, Evelyn, Sofia, Owen, and Aiden. Lily commented, \"((if Sofia is a sage then Owen is a fool) or (if Aiden is a fool then Evelyn is a fool) or Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"tell... | {"split": "train", "index": 19553} |
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, Benjamin, Mason, Zoey, and Charlotte. Joseph said that ((Charlotte is an altruist and Zoey is an egoist and Mason is an egoist and Benj... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-trut... | {"split": "train", "index": 19554} |
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, Victoria, Henry, Lily, and Zoey. \"(Henry is a sinner and Lily is a saint) if and only if (Zoey is a sinner or (Victoria is a sinner) or (Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 19555} |
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, Olivia, David, Chloe, and Noah. Penelope said, \"((if Noah is a hero then David is a hero) and (David is a hero if and only if Olivia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]]],... | {"split": "train", "index": 19556} |
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: Matthew, Henry, Ella, Oliver, and Noah. \"(if (Oliver is a devil) then (Noah is a devil if and only if Oliver is a devil)) and (it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4... | {"split": "train", "index": 19557} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Oliver, Victoria, Mason, and Mia. \"((Mason is an angel) if and only if (Mia is a devil if and only if Victoria is an angel)) and ((Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"and\... | {"split": "train", "index": 19558} |
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, Chloe, Olivia, Benjamin, and Samuel. Elizabeth was heard saying, \"((Elizabeth is an angel and Samuel is an angel and Olivia is an angel) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 3],... | {"split": "train", "index": 19559} |
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: Amelia, Alexander, Avery, Aria, and Benjamin. Amelia told you that (it is not the case that (if Alexander is a hero then Aria is a hero)) or Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 19560} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Zoey, Benjamin, Harper, and Oliver. \"((if Zoey is a hero then Harper is a villain) and (Benjamin is a hero or Oliver is a hero) and (Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying... | {"split": "train", "index": 19561} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Ella, Grace, Noah, and Riley. Elizabeth commented, \"Noah is a knight\". Ella expressed that ((Noah is a knave) and (Noah is a knave and R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 19562} |
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: Riley, David, Mason, Henry, and Benjamin. Riley remarked, \"if (if (Henry is a fool or Mason is a fool or Benjamin is a sage or David is a sage) then (if M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\... | {"split": "train", "index": 19563} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Grace, Amelia, Lucas, Owen, and Scarlett. Grace noted, \"Amelia is a pioneer\". Amelia was heard saying, \"Grace is a laggard or ((Owen is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"lying\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lyi... | {"split": "train", "index": 19564} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Olivia, Penelope, Alexander, and Jackson. Jack was heard saying, \"it is not the case that ((if Jackson is an angel then Alexander is an angel) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"->\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 19565} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Lily, Penelope, Harper, and Elizabeth. Avery said that ((Elizabeth is a saint or Penelope is a sinner) if and only if (Penelope is a saint or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-trut... | {"split": "train", "index": 19566} |
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, Charlotte, Zoey, Oliver, and Evelyn. \"Oliver is a devil if and only if Zoey is an angel,\" Riley mentioned. Charlotte was heard saying, \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1],... | {"split": "train", "index": 19567} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Luke, Abigail, Aurora, Chloe, and Ella. \"(Abigail is a fool or (Abigail is a fool if and only if Luke is a sage)) or Luke is a sage or (if (Abigail is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 19568} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, Lucas, Emma, Daniel, and Liam. \"if ((Jacob is an altruist or Emma is an altruist) if and only if (if Liam is an egoist then Jacob is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-trut... | {"split": "train", "index": 19569} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Daniel, Oliver, Jack, and Joseph. Liam noted, \"if ((if Oliver is a pioneer then Jack is a laggard) or (Oliver is a laggard if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 19570} |
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, Isabella, Samuel, Henry, and Ella. Noah noted, \"Henry is a devil\". Isabella told you that Noah is a devil. Samuel stated, \"((Henry is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"lying\", 3], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]]],... | {"split": "train", "index": 19571} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Mason, Avery, Owen, and Daniel. \"(it is not the case that (if Avery is a devil then Mason is a devil)) if and only if Mason is an angel,\" Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\... | {"split": "train", "index": 19572} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Avery, Penelope, James, and Henry. Ethan said, \"if (it is not the case that (Penelope is an angel)) then ((Penelope is an angel and Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"<=>\", [\"lying\", 2], [\"not\", [\"->\... | {"split": "train", "index": 19573} |
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, Emma, Grace, Sebastian, and Jacob. \"if Emma is a sage then ((Grace is a fool if and only if Emma is a sage) if and only if Grace is a sage)\" - Lily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 0]]]], [\"lying\", 1], [\"... | {"split": "train", "index": 19574} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Isabella, Emma, Mason, and Penelope. \"Emma is a sage and ((Jackson is a sage and Emma is a fool and Emma is a sage and Mason is a sage) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"and\"... | {"split": "train", "index": 19575} |
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, Samuel, Noah, and Penelope. \"((Noah is a hero) if and only if (Samuel is a hero or Noah is a villain or Liam is a hero or Riley is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 3... | {"split": "train", "index": 19576} |
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, Emma, Ella, Chloe, and Emily. As Benjamin put it, \"if Emily is an altruist then (if Ella is an egoist then (Emily is an egoist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"lying\", 4], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\",... | {"split": "train", "index": 19577} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Logan, Benjamin, Lily, and Jacob. Emily noted, \"((Emily is a hero or Logan is a hero or Jacob is a hero) and (if Lily is a hero then Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 19578} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Aurora, Joseph, Aria, and Owen. Ethan remarked, \"(it is not the case that (Aria is a devil and Owen is an angel and Joseph is an angel and Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"lying\", 3], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth... | {"split": "train", "index": 19579} |
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: Harper, Owen, Sebastian, Charlotte, and Henry. \"it is not the case that (if (Henry is a pioneer and Charlotte is a laggard and Sebastian is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 1], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"... | {"split": "train", "index": 19580} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Ava, Sebastian, Oliver, and Emily. In Aria's words: \"((Aria is a knight if and only if Emily is a knave) if and only if Oliver is a knave) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 3]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"ly... | {"split": "train", "index": 19581} |
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, Ella, Samuel, Lucas, and Amelia. Sofia said, \"if ((if Samuel is a knight then Ella is a knave) if and only if (Lucas is a knight)) then Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"lying\", 2]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"->\", [\"lying\", 4],... | {"split": "train", "index": 19582} |
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: Grace, Logan, Amelia, Mason, and Daniel. Grace told you that if ((if Amelia is an altruist then Amelia is an egoist) or (Daniel is an egoist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 4]], [\"telling-truth\", 3], [\"or\", [... | {"split": "train", "index": 19583} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Sofia, Aria, Sebastian, and Victoria. \"it is not the case that (Isabella is an angel and (Sofia is an angel and Victoria is a devil and Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 2]]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"lying\", 4]... | {"split": "train", "index": 19584} |
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: Sebastian, Jackson, Jacob, Emily, and Liam. Sebastian noted, \"(Jackson is a hero) or (Jackson is a hero or (Emily is a villain if and only if Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 3], ... | {"split": "train", "index": 19585} |
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, Luke, Isabella, Harper, and Noah. Elizabeth noted, \"it is not the case that (Noah is a devil)\". Luke said that ((Harper is an angel if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telli... | {"split": "train", "index": 19586} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Grace, Amelia, David, Evelyn, and Noah. Grace stated, \"(it is not the case that (Evelyn is a pioneer)) if and only if ((Evelyn is a laggard if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 4]]]], [\"and\", [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\"... | {"split": "train", "index": 19587} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, James, Lily, Henry, and Mason. \"if Evelyn is a hero then Lily is a hero,\" Evelyn mentioned. In James's words: \"if ((Henry is a hero or Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 3], [\"and\", [\"... | {"split": "train", "index": 19588} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Mia, Sebastian, Emma, and William. \"(if (Emma is a pioneer if and only if Sebastian is a pioneer) then (Mia is a laggard or Liam is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"ly... | {"split": "train", "index": 19589} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Scarlett, Ella, Victoria, and James. Ethan expressed that Ella is a hero. Scarlett noted, \"Ethan is a hero if and only if (it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]]], [\"lying\", 1], [\"lying\", 1], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 2],... | {"split": "train", "index": 19590} |
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, Liam, Grace, Mason, and Alexander. \"Alexander is an angel\" - David. \"it is not the case that (if (if Grace is an angel then David is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 19591} |
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: Lucas, Avery, David, Olivia, and Ethan. Lucas stated, \"it is not the case that (it is not the case that (Ethan is a saint))\". Avery expressed that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [... | {"split": "train", "index": 19592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Aurora, Victoria, Alexander, and Joseph. According to Ava, \"Alexander is a fool if and only if (if Victoria is a fool then (Victoria is a fool and Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 19593} |
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: Lucas, Grace, Emma, Logan, and Evelyn. In Lucas's words: \"(Emma is a laggard if and only if Grace is a laggard) if and only if ((if Evelyn is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 1], [... | {"split": "train", "index": 19594} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, David, Grace, Logan, and Victoria. Avery said, \"(Logan is a saint or (if Grace is a sinner then Victoria is a saint) or (Grace is a saint and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling... | {"split": "train", "index": 19595} |
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: Joseph, Owen, Samuel, Emily, and Evelyn. Joseph asserted: \"it is not the case that ((if Evelyn is a fool then Owen is a sage) or (Samuel is a sage if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"telling-truth\", 1], [\"lying\", 0], [\"not\", [\"telling-truth\", 1]]... | {"split": "train", "index": 19596} |
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, Sophia, Matthew, James, and Sebastian. \"if (Sophia is a pioneer or (James is a laggard) or (Matthew is a pioneer if and only if James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"not\", [\"ly... | {"split": "train", "index": 19597} |
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: Amelia, Jack, Harper, Michael, and Joseph. Amelia said, \"Harper is an angel if and only if (Jack is an angel and (Harper is a devil if and only if Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"... | {"split": "train", "index": 19598} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, David, Ethan, Penelope, and Alexander. In a statement by Avery: \"((David is a sinner and Alexander is a sinner) or (Ethan is a saint if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"t... | {"split": "train", "index": 19599} |
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