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 knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Aiden, Grace, Sofia, and Ella. In Owen's words: \"((if Grace is a knave then Owen is a knight) if and only if (if Grace is a knave then Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 166, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]... | {"split": "train", "index": 13500} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: David, James, Grace, Chloe, and Jack. David was heard saying, \"if (it is not the case that (Chloe is a sage and James is a sage)) then ((if David is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 167, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]... | {"split": "train", "index": 13501} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Avery, Logan, Daniel, and Chloe. Matthew remarked, \"(it is not the case that (Logan is a knave or Avery is a knight)) or (if (Chloe is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 168, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"telling-truth\", 0], [\"or\", [\"->... | {"split": "train", "index": 13502} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Jacob, Liam, Harper, and Samuel. In Sofia's words: \"Jacob is a fool and ((Liam is a sage) and (Jacob is a sage))\". Jacob stated, \"(if Sofia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 169, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 1]]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"and\", [\"not\",... | {"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 5 inhabitants: Matthew, Olivia, Avery, Jacob, and Benjamin. According to Matthew, \"it is not the case that (if (if Jacob is a sage then Olivia is a sage) then (Jacob is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 170, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"t... | {"split": "train", "index": 13504} |
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: Samuel, Ethan, Lucas, Olivia, and Liam. Samuel stated, \"Liam is a knave or ((Lucas is a knight and Liam is a knight) if and only if (Lucas is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 171, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"telling-truth\", 4], [\"not\", [\"telling-truth... | {"split": "train", "index": 13505} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Lily, Isabella, Victoria, and Aiden. In Sofia's words: \"(if (Isabella is an angel and Victoria is an angel) then (Sofia is an angel or Isabella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 172, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [... | {"split": "train", "index": 13506} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Isabella, Michael, Aria, and Aiden. Sebastian told you that Isabella is a knave. \"((Michael is a knave or Aria is a knight) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 173, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\... | {"split": "train", "index": 13507} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Henry, Evelyn, Elizabeth, and Sophia. Zoey said, \"it is not the case that ((Sophia is an altruist) and Sophia is an altruist).\" Henry s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 174, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"not\", [\"<=>\", [\"not\", [\"telling-trut... | {"split": "train", "index": 13508} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Elizabeth, Daniel, Evelyn, and Zoey. Jacob was heard saying, \"Elizabeth is a villain\". Elizabeth was heard saying, \"if ((if Daniel is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 175, \"statements\": [[\"lying\", 1], [\"->\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telli... | {"split": "train", "index": 13509} |
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: Harper, Logan, Aurora, Sofia, and Isabella. Harper said that ((Sofia is an egoist) or Sofia is an altruist) or Harper is an altruist. Logan com... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 176, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"... | {"split": "train", "index": 13510} |
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, Mia, Noah, Samuel, and Jack. Emma noted, \"((if Samuel is a devil then Mia is a devil) and (Samuel is a devil if and only if Mia is a devil)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 177, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 13511} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Noah, Emma, William, Luke, and Benjamin. Noah noted, \"((William is an egoist or Luke is an altruist) and (Emma is an egoist or Benjamin is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"tell... | {"split": "train", "index": 13512} |
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, Grace, Samuel, Lucas, and William. As Jack put it, \"((Jack is an angel and Grace is an angel) and (Samuel is a devil and Lucas is a devil)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 179, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\"... | {"split": "train", "index": 13513} |
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: Penelope, Benjamin, Sebastian, Zoey, and Olivia. Penelope said, \"((Sebastian is an angel if and only if Benjamin is a devil) or (Penelope is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 180, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2... | {"split": "train", "index": 13514} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Aiden, Charlotte, Elizabeth, and Lucas. Alexander was heard saying, \"Aiden is a knight\". Aiden remarked, \"Lucas is a knight\". Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 181, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3], [\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 13515} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Aiden, Alexander, Ava, and Avery. \"Ava is a sage\" - Michael. Aiden asserted: \"(Ava is a fool and Michael is a fool) if and only if ((Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 182, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]]], [\"->\", [\"->... | {"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 5 inhabitants: Riley, Benjamin, Aiden, Jack, and Amelia. Riley commented, \"((Aiden is a hero or Jack is a villain) and (Amelia is a hero)) if and only if Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 183, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"lying\", 2]], [\"lying\", 0], [\"telling-truth\", 1], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 4... | {"split": "train", "index": 13517} |
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, Alexander, Owen, Ella, and Jack. Daniel said, \"if ((Owen is a hero if and only if Alexander is a villain) if and only if (Ella is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 184, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"not\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 13518} |
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: Grace, Evelyn, James, Elizabeth, and Aurora. \"Aurora is a knave\" - Grace. Evelyn noted, \"((Elizabeth is a knave and Aurora is a knight) or (Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 185, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 0]], [\"not\", [\"and\", [\"or\", [\... | {"split": "train", "index": 13519} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: James, Isabella, Matthew, Logan, and Noah. James stated, \"it is not the case that ((Matthew is a saint) if and only if (Logan is a sinner))\". \"((L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"tel... | {"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 5 inhabitants: Abigail, Aiden, Jacob, Chloe, and Sebastian. In Abigail's words: \"Chloe is a saint or Aiden is a saint\". \"Jacob is a saint,\" Aiden claimed. \"((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 187, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [... | {"split": "train", "index": 13521} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, James, Luke, Henry, and Emily. According to Harper, \"((James is a knight) and (Henry is a knave if and only if Harper is a knight)) and ((Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 13522} |
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: Matthew, Sophia, Oliver, Sebastian, and Scarlett. Matthew said that it is not the case that ((Scarlett is an egoist if and only if Oliver is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"or\", [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"or\", [... | {"split": "train", "index": 13523} |
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: Elizabeth, Abigail, Victoria, Riley, and Emily. Elizabeth stated, \"Emily is a pioneer\". Abigail was heard saying, \"((Riley is a laggard and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"not\", [\"<=>\", [\"->\", [\"lyi... | {"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 5 inhabitants: Chloe, Aurora, Samuel, James, and Jack. Chloe noted, \"it is not the case that (Jack is a villain)\". Aurora remarked, \"Samuel is a hero if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"or\", [\"not\", [\"lying\", 4... | {"split": "train", "index": 13525} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, William, Jackson, Owen, and Harper. Penelope told you that (if (Harper is a sinner or William is a sinner) then (Owen is a sinner)) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]]], [\"and\", [\... | {"split": "train", "index": 13526} |
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: Abigail, Victoria, Evelyn, Charlotte, and Liam. \"((if Evelyn is a villain then Charlotte is a villain) if and only if (Liam is a hero and Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\... | {"split": "train", "index": 13527} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Victoria, Michael, Aiden, and Elizabeth. \"it is not the case that (if (Aiden is a knave if and only if Michael is a knave) then Elizabeth is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 4]]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"->\", [\"telli... | {"split": "train", "index": 13528} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Abigail, Ethan, Jacob, Mason, and Amelia. Abigail expressed that it is not the case that (if (Ethan is an altruist and Jacob is an altruist) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0... | {"split": "train", "index": 13529} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Logan, Aurora, Daniel, and Avery. Luke said that (it is not the case that (Aurora is a knight if and only if Avery is a knight)) or Daniel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lying\", 3]], [\"telling-truth\", 4], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"l... | {"split": "train", "index": 13530} |
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, Charlotte, Alexander, Noah, and Harper. Luke expressed that it is not the case that ((Noah is a villain or Noah is a hero) or (Luke is a hero o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"... | {"split": "train", "index": 13531} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Mia, Matthew, Jack, and Sophia. Jacob noted, \"Matthew is a devil\". Mia noted, \"(if (Jack is an angel) then Matthew is a devil) or ((if Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"lying\", 2], [\"or\", [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 2]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"l... | {"split": "train", "index": 13532} |
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, Grace, Lucas, Samuel, and Michael. Owen said, \"((Samuel is an altruist if and only if Michael is an egoist) and (if Michael is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"ly... | {"split": "train", "index": 13533} |
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: Jackson, Mia, Owen, Samuel, and Sophia. Jackson noted, \"it is not the case that (Samuel is a villain if and only if (Sophia is a hero if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\... | {"split": "train", "index": 13534} |
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: Henry, Avery, Evelyn, Lily, and Luke. Henry noted, \"if Lily is a villain then (it is not the case that (Henry is a hero if and only if Luke is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling... | {"split": "train", "index": 13535} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Emily, Jack, Lily, and Liam. Zoey was heard saying, \"Lily is a pioneer if and only if (Emily is a pioneer and (Jack is a laggard))\". \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"tell... | {"split": "train", "index": 13536} |
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: Oliver, Ella, Henry, Scarlett, and Mason. Oliver remarked, \"if ((Mason is an egoist and Henry is an egoist) if and only if (Oliver is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\",... | {"split": "train", "index": 13537} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Jacob, Ethan, Ella, and David. Sofia noted, \"(Ella is a sage if and only if (Sofia is a fool)) if and only if ((if Sofia is a sage then Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"<=>\"... | {"split": "train", "index": 13538} |
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: Benjamin, Amelia, Sofia, Ella, and Liam. Benjamin told you that it is not the case that ((Sofia is a sinner) if and only if (Amelia is a saint and Am... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 0]]]... | {"split": "train", "index": 13539} |
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: Daniel, Victoria, Luke, Lucas, and Aiden. As Daniel put it, \"Aiden is an altruist\". Victoria remarked, \"((Victoria is an altruist or Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 1]], [\"and\", [\"lying... | {"split": "train", "index": 13540} |
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: Joseph, Lily, Aria, Emily, and Sofia. Joseph told you that (Sofia is a laggard or (if Aria is a laggard then Emily is a pioneer)) and ((Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"<=>\", [\"n... | {"split": "train", "index": 13541} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Chloe, Mason, Sophia, and Harper. Michael asserted: \"Chloe is a sinner\". Chloe noted, \"((Mason is a sinner and Chloe is a saint) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"and\", [\"lying... | {"split": "train", "index": 13542} |
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: Mia, Logan, Scarlett, Chloe, and Jackson. \"((Chloe is a saint or Logan is a saint) or (if Logan is a sinner then Jackson is a sinner)) or (Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"<=>... | {"split": "train", "index": 13543} |
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: Olivia, Penelope, Luke, Jackson, and Ethan. Olivia asserted: \"Penelope is a villain\". Penelope stated, \"it is not the case that ((Luke is a hero i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 13544} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Michael, James, Abigail, and Evelyn. Sofia remarked, \"((if Evelyn is a sage then Michael is a sage) and (if Evelyn is a sage then Abigail is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"lying\", 2]]], [\"not\", [\"->\", [\"->\", [\"lying\", 2], [\"... | {"split": "train", "index": 13545} |
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: Chloe, Avery, Liam, Jacob, and Logan. \"(it is not the case that (Chloe is a knight and Logan is a knight)) and (it is not the case that (Logan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 13546} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Emma, Joseph, Ella, and Alexander. According to Mason, \"(if (Ella is a laggard or Joseph is a laggard) then Emma is a pioneer) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 2]]]], [\"not... | {"split": "train", "index": 13547} |
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: William, Ethan, Chloe, Elizabeth, and Zoey. \"it is not the case that (it is not the case that (Chloe is a knave)),\" William claimed. Ethan said, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"lying\", 1]], [\"or\", [\"not\", [... | {"split": "train", "index": 13548} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Sofia, William, Grace, and Emma. Michael asserted: \"it is not the case that ((Sofia is a villain if and only if Sofia is a hero) or (Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling... | {"split": "train", "index": 13549} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Samuel, Riley, Avery, and Noah. Emma remarked, \"if (if (Samuel is an egoist) then (if Noah is an egoist then Riley is an altruist)) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"o... | {"split": "train", "index": 13550} |
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, Chloe, Alexander, and Sofia. In Riley's words: \"if ((Alexander is a sage if and only if David is a fool) and (Chloe is a fool)) then Sofia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 4]], [\"or\", [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling... | {"split": "train", "index": 13551} |
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, Logan, Sebastian, Joseph, and Lily. \"Joseph is a laggard if and only if ((Lily is a pioneer and Joseph is a pioneer) and (Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"<=>\", [\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]]], [\"lying\", 2], [\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 1], [\"or\", [\"t... | {"split": "train", "index": 13552} |
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, Oliver, Lucas, Matthew, and Logan. In a statement by Evelyn: \"it is not the case that (if (Logan is a hero and Lucas is a villain) then (Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"lying\", 2], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"not\", [\"... | {"split": "train", "index": 13553} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Amelia, Matthew, Lily, and Alexander. Lucas expressed that ((Lucas is a knight or Matthew is a knight) if and only if (Matthew is a knave and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 13554} |
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: Jack, Ella, Aiden, Sofia, and Penelope. Jack said, \"((Sofia is a sage and Sofia is a fool) and Sofia is a sage) and (if (Penelope is a sage if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"... | {"split": "train", "index": 13555} |
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: Abigail, Amelia, Ethan, Lucas, and Samuel. Abigail commented, \"((Abigail is a sage if and only if Samuel is a fool) and Ethan is a fool) or Amelia is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 2]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"l... | {"split": "train", "index": 13556} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sebastian, Chloe, Mia, William, and Scarlett. In Sebastian's words: \"(if (if Chloe is a pioneer then William is a pioneer) then (William is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"tel... | {"split": "train", "index": 13557} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Abigail, Michael, Charlotte, and Jack. Sofia stated, \"(Sofia is a devil) or (if (Jack is a devil) then (if Abigail is an angel then Abigail is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=... | {"split": "train", "index": 13558} |
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, Aiden, Sofia, Emma, and Charlotte. \"Emma is a hero,\" Daniel mentioned. According to Aiden, \"it is not the case that ((if Charlotte is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\... | {"split": "train", "index": 13559} |
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: Ava, Aurora, David, James, and Lucas. Ava said, \"(Lucas is a hero if and only if (Lucas is a hero and Aurora is a hero)) if and only if (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\"or\", [\"lying\"... | {"split": "train", "index": 13560} |
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, Michael, Samuel, Lucas, and Liam. Riley noted, \"if (it is not the case that (Lucas is a hero and Michael is a villain)) then ((if Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 13561} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Lily, Emma, Jackson, and Amelia. As Isabella put it, \"(Jackson is a knight and (Amelia is a knight or Emma is a knight)) or ((Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"... | {"split": "train", "index": 13562} |
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: Aiden, Aurora, Chloe, Ava, and Elizabeth. Aiden expressed that (if (Chloe is an egoist or Elizabeth is an altruist) then (if Chloe is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lyi... | {"split": "train", "index": 13563} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Evelyn, Owen, Lily, and Logan. \"it is not the case that ((Owen is a sinner) or (Logan is a saint or Evelyn is a saint)),\" Noah declared. \"it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"not\", [\"->\"... | {"split": "train", "index": 13564} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Ava, Aria, Chloe, and Henry. Michael asserted: \"Henry is a saint\". \"Henry is a saint,\" Ava declared. Aria expressed that it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"not\", [\"lying\", 4]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 3]]], [\"lying\", 4], [\"not\", [\"and\", [\"not\", [\"telling-... | {"split": "train", "index": 13565} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Chloe, Sebastian, Jack, Mason, and Samuel. \"Samuel is a sinner,\" Chloe declared. \"if (Mason is a saint if and only if (Chloe is a sinner and Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"lying\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 13566} |
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: Jack, Harper, Penelope, Riley, and Ava. Jack asserted: \"((Harper is a villain) and (if Ava is a hero then Penelope is a hero)) or Ava is a villain\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"lying\", 4]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"no... | {"split": "train", "index": 13567} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Isabella, Penelope, Matthew, Victoria, and Avery. \"it is not the case that ((Victoria is a laggard or Matthew is a pioneer) or Victoria is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"... | {"split": "train", "index": 13568} |
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: James, Noah, Lucas, Samuel, and Scarlett. James told you that Lucas is an angel. Noah said that James is a devil. As Lucas put it, \"(Noah is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"telling-truth\", 2], [\"lying\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 1]]], [\"lying\", 0]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\... | {"split": "train", "index": 13569} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ella, Benjamin, Jackson, Matthew, and Sofia. In Ella's words: \"Matthew is an egoist\". Benjamin remarked, \"(if Matthew is an egoist then (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]]... | {"split": "train", "index": 13570} |
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: Oliver, Ethan, Jacob, Scarlett, and Charlotte. Oliver commented, \"it is not the case that (it is not the case that (Ethan is a fool and Oliver is a sage))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 1]], [\... | {"split": "train", "index": 13571} |
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, Avery, Jack, Daniel, and Oliver. According to Elizabeth, \"((Elizabeth is a knave) or (if Oliver is a knight then Jack is a knight)) and O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 13572} |
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, Owen, Joseph, Lily, and Abigail. As Harper put it, \"Lily is a sinner and ((Lily is a saint or Owen is a sinner) if and only if (if Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 2]]]], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"<=>\", [\"telling-truth\",... | {"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 5 inhabitants: Ethan, Aria, Matthew, Jackson, and Mia. Ethan commented, \"Ethan is a sage if and only if (Matthew is a fool)\". Aria expressed that if (if (Mia is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 13574} |
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: Ethan, Elizabeth, Liam, Logan, and Isabella. Ethan commented, \"Logan is a laggard\". Elizabeth said, \"it is not the case that ((Ethan is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 13575} |
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: James, Lily, Liam, Matthew, and Jacob. \"(if (if James is a pioneer then Lily is a laggard) then (Jacob is a pioneer)) if and only if ((Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"or\", ... | {"split": "train", "index": 13576} |
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, Alexander, Benjamin, Elizabeth, and Olivia. Jack told you that Alexander is a devil and (if (Alexander is a devil or Benjamin is an angel) then E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 3]], [\"or\",... | {"split": "train", "index": 13577} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Lily, Harper, Isabella, and Ava. According to Noah, \"(if (Lily is a hero) then (Lily is a villain and Ava is a hero)) and (Harper is a hero if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"not\", [\"or\", [... | {"split": "train", "index": 13578} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mia, Lily, Jackson, Sebastian, and Alexander. \"(it is not the case that (Lily is a devil and Jackson is an angel)) and (if (Jackson is an angel) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"and\", [\"and\", [\"->\", [\"lying\", 4],... | {"split": "train", "index": 13579} |
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, David, Riley, Matthew, and Noah. In Ella's words: \"((David is a hero) if and only if David is a hero) if and only if (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"telling-truth\", 2], [\"lying\", 0], [\"and\", [\"and\", [\... | {"split": "train", "index": 13580} |
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: Mia, Michael, Aurora, Lucas, and Emma. In Mia's words: \"((Aurora is a sinner) if and only if (Michael is a saint or Emma is a saint)) and (it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"not\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lyi... | {"split": "train", "index": 13581} |
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: Olivia, Avery, Lucas, Noah, and Emily. Olivia said that it is not the case that (Noah is a sinner if and only if (Noah is a sinner or Emily is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 13582} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, William, Jacob, Mason, and Aiden. Isabella stated, \"if Mason is a knave then Aiden is a knave\". \"Mason is a knave,\" William mentioned. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"->\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 3], [\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0... | {"split": "train", "index": 13583} |
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, Penelope, Avery, David, and Samuel. Aiden asserted: \"Samuel is a villain\". Penelope commented, \"Avery is a hero\". Avery asserted: \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"lying\", 4], [\"telling-truth\", 2], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"->\", [\"te... | {"split": "train", "index": 13584} |
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: Isabella, Liam, Aiden, Jack, and Mason. \"(it is not the case that (Aiden is a sage or Jack is a sage)) or (it is not the case that (Mason is a fool)),\" I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"lying\... | {"split": "train", "index": 13585} |
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: Matthew, Ethan, Evelyn, Noah, and Lily. Matthew told you that (if Ethan is an egoist then Evelyn is an egoist) or ((Evelyn is an egoist or Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4... | {"split": "train", "index": 13586} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Aiden, Elizabeth, Aurora, and Ava. Alexander said, \"(it is not the case that (if Ava is a knight then Aurora is a knave)) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"and\", [\"or\", ... | {"split": "train", "index": 13587} |
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, Mia, Zoey, Mason, and Noah. According to Amelia, \"Zoey is an angel\". Mia said that if ((Mia is an angel if and only if Amelia is a devil) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\"... | {"split": "train", "index": 13588} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, Henry, Aiden, Evelyn, and David. Jacob said that (it is not the case that (Henry is a fool and Evelyn is a sage)) if and only if ((Jacob is a sage a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"and\", [... | {"split": "train", "index": 13589} |
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: Avery, Evelyn, Abigail, David, and Emily. Avery stated, \"if Abigail is a devil then ((if Emily is a devil then David is an angel) if and only if (Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"->\", [\"lying\", 2], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"telling-tru... | {"split": "train", "index": 13590} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Victoria, Ava, Avery, and Daniel. \"if ((Ava is a pioneer or Ava is a laggard) if and only if (Matthew is a pioneer if and only if Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lyi... | {"split": "train", "index": 13591} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Jack, Scarlett, Emily, and Matthew. Noah noted, \"((Matthew is a saint if and only if Scarlett is a sinner) and Jack is a saint) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 13592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Matthew, Penelope, Olivia, and Mia. Jacob asserted: \"Olivia is a hero if and only if ((Matthew is a hero or Olivia is a villain) and Mia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4]]], [\"not\", [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"telling-truth\", 3]]], [\"n... | {"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 5 inhabitants: Amelia, Logan, Luke, Zoey, and Liam. \"((Zoey is a saint if and only if Luke is a saint) and (Liam is a sinner and Zoey is a saint)) and ((if Zoey is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"t... | {"split": "train", "index": 13594} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, Benjamin, Logan, Harper, and Mia. Aria said that it is not the case that (if (Benjamin is an egoist) then (if Benjamin is an egoist then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\... | {"split": "train", "index": 13595} |
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: David, Grace, Riley, Sebastian, and Henry. \"Grace is a knave or ((if David is a knight then Riley is a knave) if and only if (if Riley is a knight t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"tell... | {"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 5 inhabitants: Harper, Abigail, Jack, Alexander, and Amelia. \"Jack is a pioneer and Alexander is a laggard,\" Harper mentioned. Abigail said that (if (Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 3],... | {"split": "train", "index": 13597} |
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: Jack, Charlotte, Riley, Ethan, and Zoey. Jack asserted: \"if Riley is a hero then ((if Charlotte is a hero then Riley is a villain) if and only if (Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"not\", [\"lying\", 3... | {"split": "train", "index": 13598} |
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: Avery, Michael, Joseph, Luke, and Ava. \"((Avery is an angel if and only if Joseph is a devil) if and only if (Luke is a devil and Ava is a devil)) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 3]]]... | {"split": "train", "index": 13599} |
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