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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Lily, Oliver, Jacob, and Luke. Ella said that if Lily is a sinner then (Lily is a saint or Lily is a sinner). Lily remarked, \"(Oliver is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"and... | {"split": "train", "index": 7800} |
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, Ella, Noah, Lucas, and Charlotte. Evelyn said that it is not the case that (Charlotte is a villain and Lucas is a hero). Ella stated, \"Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 3]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"... | {"split": "train", "index": 7801} |
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, Liam, Victoria, Evelyn, and Isabella. Jack remarked, \"Evelyn is a fool\". Liam stated, \"it is not the case that (Victoria is a fool)\". \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4... | {"split": "train", "index": 7802} |
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: David, Riley, Abigail, Joseph, and Jacob. David asserted: \"Abigail is an altruist\". As Riley put it, \"if (Joseph is an egoist) then (if Abig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4]... | {"split": "train", "index": 7803} |
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: Chloe, Ethan, Scarlett, Alexander, and Sophia. Chloe noted, \"(if Sophia is an egoist then Alexander is an altruist) if and only if (Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lyin... | {"split": "train", "index": 7804} |
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: Owen, Noah, Ella, Mia, and Ava. Owen commented, \"if Ella is a laggard then (Noah is a laggard or Ava is a pioneer)\". Noah noted, \"(Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"->\", [\"lying\", 2], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-t... | {"split": "train", "index": 7805} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Evelyn, Matthew, James, Charlotte, and Riley. As Evelyn put it, \"(Evelyn is a fool) if and only if (Matthew is a fool and Charlotte is a fool)\". \"(if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\... | {"split": "train", "index": 7806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Owen, Matthew, Victoria, and Aurora. Mason was heard saying, \"(if Matthew is a villain then Aurora is a villain) and Victoria is a villain\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 7807} |
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, Abigail, Luke, Lucas, and Benjamin. Sebastian said that Abigail is a laggard or (Luke is a laggard or Abigail is a laggard). Abigail... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"->\", [\"tel... | {"split": "train", "index": 7808} |
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, Sofia, Logan, Ava, and Penelope. Olivia was heard saying, \"Logan is a villain or Olivia is a hero\". Sofia said that if (Ava is a villain an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth... | {"split": "train", "index": 7809} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jacob, Sebastian, Noah, Mason, and Jackson. Jacob said that Sebastian is a laggard. Sebastian expressed that Jacob is a laggard. According to N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"lying\", 1], [\"lying\", 0], [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 1]], \"solution\": [true, false, false, true, false... | {"split": "train", "index": 7810} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Daniel, Scarlett, Sebastian, and Abigail. Lily expressed that (Sebastian is a hero or Abigail is a hero) if and only if (Sebastian is a hero if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 3], [\"not\", [\"lying... | {"split": "train", "index": 7811} |
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, Ethan, James, Chloe, and Jacob. \"it is not the case that (Ethan is a saint and Chloe is a saint)\" - Michael. \"(James is a saint) or (Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1144, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [... | {"split": "train", "index": 7812} |
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: Joseph, Sofia, David, Liam, and Zoey. Joseph was heard saying, \"(Liam is a devil or Zoey is an angel) if and only if (David is a devil if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1145, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"->\", [\"lying\", 4], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]],... | {"split": "train", "index": 7813} |
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, Henry, Abigail, Grace, and Zoey. According to Liam, \"it is not the case that (Grace is a knight if and only if Zoey is a knave)\". \"Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1146, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", ... | {"split": "train", "index": 7814} |
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: Abigail, Mia, Emily, Mason, and Aiden. As Abigail put it, \"(Abigail is a devil) if and only if (if Abigail is an angel then Aiden is an angel)\". As M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1147, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 7815} |
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: Zoey, James, Evelyn, Aria, and Elizabeth. In a statement by Zoey: \"(if Elizabeth is a sage then Elizabeth is a fool) and (Evelyn is a sage if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1148, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 4]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 7816} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Abigail, Ella, Sofia, and Zoey. Logan asserted: \"Logan is a sage or (Abigail is a sage or Abigail is a fool)\". Abigail said that (Logan is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1149, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 7817} |
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, Emma, Zoey, Henry, and Lily. Luke remarked, \"(if Luke is a hero then Zoey is a villain) if and only if (Lily is a hero and Luke is a hero)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1150, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"ly... | {"split": "train", "index": 7818} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Samuel, Jacob, Jack, and Ethan. Liam stated, \"if (Jack is a sage and Samuel is a fool) then (Jack is a fool if and only if Liam is a sage)\". \"Jaco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1151, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"and\", [\"-... | {"split": "train", "index": 7819} |
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, Emily, Ella, Aurora, and Benjamin. Sebastian noted, \"(Benjamin is a laggard and Aurora is a laggard) and (if Emily is a pioneer the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1152, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"tell... | {"split": "train", "index": 7820} |
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, Harper, Jack, Amelia, and Ethan. \"(Ethan is a devil and Emma is an angel) if and only if (Emma is an angel and Jack is an angel),\" Emma declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1153, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", ... | {"split": "train", "index": 7821} |
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: Aiden, Amelia, Matthew, Jacob, and Elizabeth. As Aiden put it, \"(Amelia is a sage if and only if Matthew is a sage) if and only if (Elizabeth is a fool or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1154, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lyin... | {"split": "train", "index": 7822} |
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, Riley, David, Mia, and Emily. Noah said, \"(Noah is a hero and David is a villain) or (David is a hero).\" \"if (Mia is a hero and Mia is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1155, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]... | {"split": "train", "index": 7823} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Jack, Scarlett, Chloe, and Zoey. Olivia noted, \"(Jack is a fool if and only if Zoey is a fool) or (Zoey is a fool)\". \"Scarlett is a fool or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1156, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 7824} |
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: Charlotte, Jacob, Benjamin, Liam, and Grace. Charlotte remarked, \"Grace is a saint\". Jacob was heard saying, \"it is not the case that (Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1157, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 0], [\"not\", [\"lying\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\... | {"split": "train", "index": 7825} |
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: Emma, Alexander, Victoria, Sebastian, and William. \"it is not the case that (Sebastian is a knight if and only if William is a knave)\" - Emma. Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1158, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [... | {"split": "train", "index": 7826} |
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, Lucas, Daniel, Logan, and Isabella. Oliver commented, \"it is not the case that (Logan is an altruist and Isabella is an egoist)\". Luc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1159, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]],... | {"split": "train", "index": 7827} |
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: Luke, Liam, Harper, Riley, and Ella. Luke said that (if Riley is a laggard then Ella is a laggard) or (Ella is a pioneer if and only if Harper ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1160, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0]... | {"split": "train", "index": 7828} |
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, Luke, Mason, Sophia, and Michael. Elizabeth remarked, \"(Elizabeth is a pioneer or Mason is a pioneer) if and only if Mason is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1161, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 2]], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-... | {"split": "train", "index": 7829} |
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, Grace, Harper, David, and Scarlett. \"it is not the case that (Harper is a knave)\" - Luke. According to Grace, \"(David is a knight) and (if H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1162, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"telling-truth\"... | {"split": "train", "index": 7830} |
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, Riley, Henry, Aiden, and Michael. Elizabeth commented, \"(Riley is a pioneer if and only if Michael is a laggard) or (if Henry is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1163, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"lying\", 4]]... | {"split": "train", "index": 7831} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Alexander, Ella, Elizabeth, and Daniel. Oliver said that it is not the case that (Alexander is a saint if and only if Daniel is a sinner). Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1164, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"lyi... | {"split": "train", "index": 7832} |
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, Logan, Sofia, Ethan, and Jacob. Joseph said that Jacob is a hero. Logan said that (Joseph is a villain or Jacob is a hero) and (Ethan is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1165, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]... | {"split": "train", "index": 7833} |
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: Scarlett, Lucas, Joseph, Henry, and Daniel. Scarlett said that Lucas is a sage. \"it is not the case that (if Lucas is a sage then Henry is a fool),\" Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1166, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-tru... | {"split": "train", "index": 7834} |
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: Penelope, Mason, Aria, Sophia, and Alexander. \"(Alexander is a knight) if and only if (Alexander is a knave if and only if Aria is a knave),\" Penel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1167, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [... | {"split": "train", "index": 7835} |
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, Zoey, Aurora, Daniel, and Charlotte. Riley told you that Daniel is an angel or (Daniel is an angel if and only if Riley is an angel). In Zoey's ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1168, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"or\... | {"split": "train", "index": 7836} |
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: Sofia, Jack, David, Abigail, and Owen. \"David is an egoist and (Jack is an egoist),\" Sofia claimed. In a statement by Jack: \"it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1169, \"statements\": [[\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"->\", ... | {"split": "train", "index": 7837} |
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, Oliver, Aria, David, and Grace. As Lily put it, \"it is not the case that (if Oliver is a knight then Grace is a knave)\". Oliver expressed tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1170, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 0]], [... | {"split": "train", "index": 7838} |
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, Jack, Jacob, Samuel, and Isabella. Olivia told you that it is not the case that (if Isabella is a hero then Jack is a hero). \"Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1171, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"not\", [\"or\", [\"telli... | {"split": "train", "index": 7839} |
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, Aurora, Sebastian, Henry, and Matthew. \"Matthew is an egoist if and only if (Aurora is an altruist and Sebastian is an altruist)\" - Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1172, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 0], [\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"telli... | {"split": "train", "index": 7840} |
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: Noah, Liam, Mason, Michael, and Daniel. Noah expressed that if (Mason is a laggard) then Daniel is a laggard. Liam stated, \"Daniel is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1173, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 1], [\"<=>\", [\"or\", [\"telling-tr... | {"split": "train", "index": 7841} |
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: Oliver, Aria, Aurora, Emily, and Daniel. As Oliver put it, \"if (Emily is a villain or Aria is a villain) then (Daniel is a hero or Oliver is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1174, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\",... | {"split": "train", "index": 7842} |
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, Noah, Emma, Owen, and Grace. In a statement by Sebastian: \"if (Grace is a pioneer or Owen is a pioneer) then Noah is a laggard\". I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1175, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 1]], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"lying\", 4], [\"->\", [\"<=>\", [\"t... | {"split": "train", "index": 7843} |
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, Daniel, Samuel, Scarlett, and Emily. Ethan expressed that Emily is a villain. Daniel noted, \"(Emily is a villain) and (Samuel is a hero)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1176, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"... | {"split": "train", "index": 7844} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Aurora, Matthew, Penelope, and Emma. Ethan said that (Matthew is a sinner if and only if Emma is a sinner) and (Matthew is a sinner and Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1177, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 0... | {"split": "train", "index": 7845} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Liam, Aria, Benjamin, and Logan. Luke said, \"(Liam is an egoist or Liam is an altruist) or (if Aria is an egoist then Liam is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1178, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 3]], [\"and\",... | {"split": "train", "index": 7846} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lily, Daniel, Aiden, Logan, and Charlotte. \"(Logan is an angel or Charlotte is a devil) if and only if (Logan is an angel or Charlotte is an angel),\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1179, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0]... | {"split": "train", "index": 7847} |
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: Owen, Chloe, Riley, Noah, and Samuel. Owen said that (Chloe is a pioneer or Samuel is a pioneer) if and only if (if Samuel is a laggard then Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1180, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"tell... | {"split": "train", "index": 7848} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Sophia, Mason, Ethan, and Alexander. Lucas remarked, \"Ethan is a sage\". \"(Ethan is a sage) and (Mason is a sage or Ethan is a fool),\" Sophia dec... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1181, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"a... | {"split": "train", "index": 7849} |
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, Owen, Elizabeth, Evelyn, and Emily. Jackson expressed that Evelyn is a hero. As Owen put it, \"it is not the case that (Jackson is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1182, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 1]], [\"lying\", 4], [\"->\", [\"lying\", 1],... | {"split": "train", "index": 7850} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Luke, Oliver, Henry, and Mia. \"(Oliver is a sinner and Henry is a sinner) and (Matthew is a saint and Henry is a saint),\" Matthew declared... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1183, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"l... | {"split": "train", "index": 7851} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aria, Matthew, Sophia, Oliver, and Aiden. Aria said that if (if Sophia is a sage then Aria is a sage) then Sophia is a fool. Matthew expressed that it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1184, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 2]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]],... | {"split": "train", "index": 7852} |
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: Abigail, Jackson, Riley, David, and Henry. Abigail said that (Jackson is a knight and Jackson is a knave) and (if Henry is a knight then Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1185, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"an... | {"split": "train", "index": 7853} |
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, Jacob, Oliver, Penelope, and Jack. \"if (if Oliver is a sinner then Oliver is a saint) then (Jack is a sinner),\" Amelia declared. \"Oliver i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1186, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2... | {"split": "train", "index": 7854} |
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, Luke, Oliver, Amelia, and Liam. \"Liam is an altruist,\" Jacob claimed. Luke expressed that if (Liam is an altruist and Luke is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1187, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 2]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"te... | {"split": "train", "index": 7855} |
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: Ella, Henry, William, Chloe, and Lily. Ella was heard saying, \"(if Henry is a sage then William is a sage) or (Henry is a sage or Chloe is a sage)\". In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1188, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 4]], ... | {"split": "train", "index": 7856} |
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: Abigail, Aurora, Oliver, Logan, and Mason. Abigail was heard saying, \"(Logan is an angel if and only if Abigail is an angel) and Abigail is an angel\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1189, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"t... | {"split": "train", "index": 7857} |
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, William, Scarlett, and Matthew. \"it is not the case that (Scarlett is an altruist and Matthew is an altruist),\" Emma declared. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1190, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"... | {"split": "train", "index": 7858} |
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, Avery, Benjamin, Jacob, and Penelope. Jack commented, \"Penelope is a villain and (Penelope is a hero or Jacob is a hero)\". Avery noted, \"(Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1191, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]]... | {"split": "train", "index": 7859} |
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, Chloe, Joseph, Aiden, and Harper. Lily commented, \"(Joseph is a knave) if and only if (Lily is a knight and Chloe is a knight)\". In a stateme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1192, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 7860} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Penelope, Alexander, Liam, Emma, and William. Penelope said, \"(William is a sage or Penelope is a sage) if and only if (William is a sage).\" Alexander co... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1193, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], ... | {"split": "train", "index": 7861} |
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: Owen, Ella, Charlotte, Penelope, and Ethan. Owen said that Ethan is a laggard or (Charlotte is a pioneer). In Ella's words: \"Penelope is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1194, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"lying\", 2... | {"split": "train", "index": 7862} |
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: Owen, Scarlett, Harper, Emma, and William. As Owen put it, \"if (Harper is a sinner and Scarlett is a saint) then (Harper is a saint)\". Scarlett rem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1195, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\... | {"split": "train", "index": 7863} |
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: Emily, Joseph, Liam, Daniel, and Ella. Emily noted, \"Daniel is an egoist or (Daniel is an egoist)\". In Joseph's words: \"(if Joseph is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1196, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 0]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 3],... | {"split": "train", "index": 7864} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Jack, Charlotte, Samuel, and Evelyn. \"if (if Evelyn is a knave then Charlotte is a knave) then Charlotte is a knight,\" Ella mentioned. \"it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1197, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]... | {"split": "train", "index": 7865} |
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, Abigail, Olivia, Emily, and Samuel. Joseph asserted: \"if (Abigail is a pioneer and Abigail is a laggard) then (if Abigail is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1198, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"->\",... | {"split": "train", "index": 7866} |
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: Samuel, Emma, Henry, Harper, and Grace. \"(Grace is a hero) and (Samuel is a hero or Grace is a villain),\" Samuel mentioned. Emma said that it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1199, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"tellin... | {"split": "train", "index": 7867} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Sebastian, Ava, Noah, and Henry. \"(if Sebastian is a knave then Ella is a knight) or (Sebastian is a knight or Henry is a knave),\" Ella decla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1200, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 4]], [\"lying\", 1], [... | {"split": "train", "index": 7868} |
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, Riley, Henry, Lucas, and Luke. \"Liam is a knight or Luke is a knight,\" Liam declared. \"Henry is a knave,\" Riley mentioned. Henry expressed ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1201, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 2], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 1]],... | {"split": "train", "index": 7869} |
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, Michael, Ava, Liam, and Daniel. In a statement by Mia: \"(if Daniel is a devil then Daniel is an angel) if and only if (if Daniel is a devil then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1202, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\... | {"split": "train", "index": 7870} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Sebastian, Elizabeth, Daniel, and Aiden. As Aurora put it, \"(Aiden is a villain if and only if Elizabeth is a hero) if and only if (if Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1203, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"lying\", 4], [\"no... | {"split": "train", "index": 7871} |
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, Zoey, Daniel, Jack, and Evelyn. Jackson remarked, \"Daniel is a fool\". Zoey said that it is not the case that (if Jack is a sage then Daniel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1204, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [... | {"split": "train", "index": 7872} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Jackson, David, James, and Zoey. \"David is a sinner,\" Samuel claimed. \"(if James is a saint then Zoey is a sinner) or (David is a sinner o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1205, \"statements\": [[\"lying\", 2], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"tel... | {"split": "train", "index": 7873} |
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: Scarlett, Henry, Elizabeth, Ethan, and Lily. Scarlett stated, \"(if Elizabeth is a sage then Elizabeth is a fool) or (Lily is a fool or Scarlett is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1206, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth... | {"split": "train", "index": 7874} |
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: Victoria, Ethan, Sophia, Elizabeth, and Henry. Victoria was heard saying, \"it is not the case that (Ethan is a hero)\". As Ethan put it, \"(Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1207, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"... | {"split": "train", "index": 7875} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, David, Abigail, Jacob, and Logan. According to Lily, \"(if David is a hero then David is a villain) and (Logan is a hero if and only if Jacob i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1208, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-tr... | {"split": "train", "index": 7876} |
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, Emily, Avery, Ella, and Aria. Amelia told you that if (Avery is a knight) then (Aria is a knave). According to Emily, \"Ella is a knave\". Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1209, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [... | {"split": "train", "index": 7877} |
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, Elizabeth, Charlotte, Harper, and Olivia. According to Penelope, \"if (if Charlotte is a villain then Olivia is a villain) then (if Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1210, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"lying\", 0], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"lying\", 0], ... | {"split": "train", "index": 7878} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Joseph, Emma, David, and Noah. As Riley put it, \"(Noah is a knave and David is a knight) and (Joseph is a knight and Noah is a knight)\". Acc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1211, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-tr... | {"split": "train", "index": 7879} |
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: Jacob, James, Mason, Jack, and Liam. In a statement by Jacob: \"James is a saint\". James noted, \"(Liam is a saint) if and only if (Jacob is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1212, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"and\", [\"l... | {"split": "train", "index": 7880} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emma, Sofia, Jackson, Oliver, and Jack. Emma was heard saying, \"if (Emma is a saint and Oliver is a saint) then (if Oliver is a saint then Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1213, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\... | {"split": "train", "index": 7881} |
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: Ava, Riley, James, Henry, and Joseph. Ava expressed that it is not the case that (Joseph is a devil if and only if Joseph is an angel). Riley told you ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1214, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-... | {"split": "train", "index": 7882} |
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: Elizabeth, Daniel, Matthew, Mason, and Alexander. Elizabeth was heard saying, \"it is not the case that (Elizabeth is a sage or Matthew is a sage)\". Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1215, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 7883} |
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, Elizabeth, Matthew, Lily, and Jack. Harper remarked, \"(Harper is an altruist if and only if Elizabeth is an altruist) and (Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1216, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<... | {"split": "train", "index": 7884} |
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, Harper, Aiden, Owen, and Abigail. Avery stated, \"(if Avery is an angel then Aiden is a devil) and Owen is an angel\". Harper was heard saying, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1217, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"not\", [\"and\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 7885} |
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, Michael, Aria, and Mia. \"(Aria is an egoist and Matthew is an altruist) and (if Mia is an altruist then Matthew is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1218, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"not\", [\"telling-t... | {"split": "train", "index": 7886} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Avery, Henry, Mason, Matthew, and Charlotte. Avery stated, \"(Charlotte is a sage) if and only if (Charlotte is a fool)\". Henry asserted: \"Henry is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1219, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [... | {"split": "train", "index": 7887} |
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: Samuel, Harper, Abigail, Mia, and Evelyn. Samuel asserted: \"Abigail is a devil or (Abigail is an angel)\". Harper was heard saying, \"(Samuel is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1220, \"statements\": [[\"or\", [\"lying\", 2], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\"... | {"split": "train", "index": 7888} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Sofia, Emily, Ethan, and Grace. According to Mia, \"Sofia is an egoist\". Sofia stated, \"if (if Mia is an altruist then Grace is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1221, \"statements\": [[\"lying\", 1], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [... | {"split": "train", "index": 7889} |
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, Samuel, Harper, Michael, and Chloe. In Noah's words: \"if (if Noah is an angel then Samuel is a devil) then (Harper is a devil or Samuel is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1222, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 7890} |
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: Charlotte, Harper, Grace, James, and Riley. \"if James is a sage then (Harper is a sage if and only if Riley is a sage),\" Charlotte claimed. As Harper put... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1223, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 0], [\"telling-truth\", 1], [\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"telling-truth\", 3]... | {"split": "train", "index": 7891} |
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: Mason, Michael, Sofia, Olivia, and Amelia. Mason remarked, \"Michael is a sage\". As Michael put it, \"if Sofia is a fool then Olivia is a sage\". Sofia co... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1224, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [... | {"split": "train", "index": 7892} |
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: Noah, Jackson, Chloe, Sofia, and Zoey. Noah noted, \"if Noah is a pioneer then Zoey is a laggard\". Jackson said, \"(if Zoey is a pioneer then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1225, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\... | {"split": "train", "index": 7893} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Olivia, Jack, Ella, and Avery. Evelyn said that (Evelyn is an angel or Ella is an angel) if and only if (Avery is a devil and Evelyn is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1226, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"<=>\", [... | {"split": "train", "index": 7894} |
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: William, Henry, Ava, Alexander, and Aria. In a statement by William: \"Aria is a pioneer\". Henry expressed that (Aria is a laggard) and (Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1227, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 3], [\"lying\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 7895} |
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, Matthew, Penelope, Victoria, and Lucas. James remarked, \"Penelope is a knight\". As Matthew put it, \"Penelope is a knave or (Victoria is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1228, \"statements\": [[\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 7896} |
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: Owen, Amelia, Matthew, Isabella, and Liam. Owen was heard saying, \"(if Isabella is an angel then Liam is an angel) if and only if (Liam is an angel)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1229, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [... | {"split": "train", "index": 7897} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Ethan, William, Alexander, and Amelia. Luke commented, \"if (William is an altruist) then (William is an altruist and Ethan is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1230, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"... | {"split": "train", "index": 7898} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Sebastian, Logan, Aria, and Mia. \"it is not the case that (Aria is a knight and Logan is a knave)\" - Riley. Sebastian stated, \"if (Logan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1231, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"lying\", 4], [\"and\", [\"... | {"split": "train", "index": 7899} |
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