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 pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Olivia, Lucas, Lily, Emma, and James. Olivia expressed that (Lily is a pioneer if and only if James is a laggard) or (Lucas is a laggard). Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2132, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 8800} |
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, Sebastian, Victoria, Benjamin, and Ava. Jack asserted: \"(if Jack is a hero then Ava is a hero) or (Benjamin is a villain if and only if Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2133, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-trut... | {"split": "train", "index": 8801} |
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: Owen, Emma, Ava, Penelope, and Jack. Owen commented, \"(Emma is a hero if and only if Jack is a villain) if and only if Penelope is a villain\". Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2134, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 3]], [\"not\", [\"lying\", 0]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\",... | {"split": "train", "index": 8802} |
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, Ella, Michael, Jack, and Olivia. Harper asserted: \"if (if Harper is an altruist then Olivia is an altruist) then (Ella is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2135, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-tr... | {"split": "train", "index": 8803} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Charlotte, Benjamin, David, and Avery. Ethan told you that if (if Benjamin is a knave then David is a knave) then (Avery is a knave and Avery ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2136, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying... | {"split": "train", "index": 8804} |
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: Harper, Aria, Ethan, Samuel, and Jackson. \"it is not the case that (Ethan is a fool or Samuel is a sage),\" Harper claimed. According to Aria, \"(Samuel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2137, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 8805} |
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, William, Aria, Scarlett, and Logan. Olivia said, \"it is not the case that (Aria is a fool if and only if William is a sage).\" William commented, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2138, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\"... | {"split": "train", "index": 8806} |
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: Sophia, Olivia, Harper, Ethan, and Joseph. Sophia remarked, \"(Olivia is a knight and Ethan is a knight) and (Harper is a knave)\". In Olivia's words... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2139, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 8807} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Charlotte, Mason, Grace, and Jacob. In a statement by Emily: \"if (if Mason is a villain then Grace is a villain) then (if Emily is a hero the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2140, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]... | {"split": "train", "index": 8808} |
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, Liam, Grace, Matthew, and Daniel. Zoey told you that (Matthew is a sage if and only if Liam is a sage) if and only if (Liam is a fool or Grace is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2141, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"ly... | {"split": "train", "index": 8809} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Logan, Elizabeth, Aiden, and Mia. In Aria's words: \"Mia is a knave\". In a statement by Logan: \"(Mia is a knave and Aiden is a knave) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2142, \"statements\": [[\"lying\", 4], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 2]]], [\"lying\", 1], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"te... | {"split": "train", "index": 8810} |
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, Michael, David, Harper, and Jackson. Ethan was heard saying, \"(if Harper is a sage then Ethan is a sage) if and only if (Harper is a sage)\". Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2143, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling... | {"split": "train", "index": 8811} |
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, Samuel, Grace, Oliver, and Noah. Jack expressed that Grace is a villain. Samuel noted, \"Oliver is a hero\". Grace stated, \"if (Samuel is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2144, \"statements\": [[\"lying\", 2], [\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 2], [\"->\", [\"lying\", 0], [... | {"split": "train", "index": 8812} |
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: Sebastian, Joseph, Amelia, Aurora, and Isabella. Sebastian asserted: \"if (Amelia is an angel if and only if Sebastian is an angel) then (Sebastian is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2145, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"telling-tru... | {"split": "train", "index": 8813} |
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, Charlotte, Alexander, Benjamin, and Jackson. Mia noted, \"(if Charlotte is a saint then Benjamin is a sinner) and Charlotte is a sinner\". Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2146, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"and... | {"split": "train", "index": 8814} |
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, Mason, Michael, Logan, and Alexander. Samuel noted, \"Logan is a knight\". Mason noted, \"Mason is a knight\". According to Michael, \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2147, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 1], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], ... | {"split": "train", "index": 8815} |
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, Daniel, Sofia, Charlotte, and Ella. As Abigail put it, \"(Sofia is a devil) if and only if (Charlotte is a devil if and only if Abigail is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2148, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 8816} |
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, Avery, Oliver, Mason, and Liam. Michael was heard saying, \"(if Mason is a sinner then Mason is a saint) if and only if (Oliver is a saint o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2149, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"lyi... | {"split": "train", "index": 8817} |
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: Lucas, Jackson, Victoria, Elizabeth, and Harper. \"(if Victoria is an angel then Jackson is a devil) or (Harper is an angel or Harper is a devil)\" - L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2150, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]]... | {"split": "train", "index": 8818} |
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, Sophia, Noah, Charlotte, and Abigail. \"(Abigail is a pioneer or Mason is a pioneer) if and only if (if Abigail is a pioneer then Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2151, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"or\", [\"not\", [\"... | {"split": "train", "index": 8819} |
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: Scarlett, Noah, Abigail, Emma, and Avery. Scarlett expressed that it is not the case that (Emma is a sinner). Noah stated, \"Abigail is a sinner\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2152, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\... | {"split": "train", "index": 8820} |
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, Chloe, Scarlett, Aiden, and Owen. David commented, \"if (Scarlett is an altruist if and only if Aiden is an altruist) then (Scarlett is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2153, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 8821} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Oliver, Alexander, Michael, and Mia. As Amelia put it, \"(if Mia is a villain then Alexander is a villain) if and only if (Michael is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-tr... | {"split": "train", "index": 8822} |
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: Evelyn, Owen, Olivia, Sofia, and Isabella. Evelyn remarked, \"if (Olivia is a pioneer if and only if Owen is a laggard) then (if Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"... | {"split": "train", "index": 8823} |
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, Emily, Evelyn, Olivia, and Aria. Benjamin remarked, \"if (Evelyn is a sinner) then (Olivia is a saint if and only if Olivia is a sinner)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"lying\", 2]], [\... | {"split": "train", "index": 8824} |
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, Joseph, Benjamin, Mia, and Owen. Abigail said, \"(Owen is a fool or Joseph is a sage) or (Benjamin is a fool if and only if Mia is a sage).\" In J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1],... | {"split": "train", "index": 8825} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Lucas, Harper, Daniel, and Benjamin. Jacob asserted: \"if (Daniel is a knight) then (if Benjamin is a knight then Harper is a knave)\". Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2... | {"split": "train", "index": 8826} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Daniel, Noah, Sebastian, and Matthew. Amelia commented, \"Daniel is a villain and (Matthew is a hero or Daniel is a villain)\". As Daniel put... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\",... | {"split": "train", "index": 8827} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Jacob, Luke, Riley, and Zoey. \"Luke is a hero\" - Benjamin. \"it is not the case that (if Benjamin is a hero then Benjamin is a villain),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-... | {"split": "train", "index": 8828} |
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: Aria, Joseph, Ella, Emma, and Zoey. Aria noted, \"(if Emma is a laggard then Zoey is a laggard) or (Zoey is a pioneer or Aria is a pioneer)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"lying... | {"split": "train", "index": 8829} |
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: Victoria, Samuel, Noah, Evelyn, and James. \"(Samuel is a devil or James is an angel) if and only if (James is a devil and Evelyn is a devil),\" Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"telling-truth\", 1], [\"->\", [\"->... | {"split": "train", "index": 8830} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Henry, Riley, Aiden, and Sofia. As Emily put it, \"(if Riley is a sinner then Sofia is a sinner) if and only if (Aiden is a saint and Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"lyi... | {"split": "train", "index": 8831} |
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: Owen, Evelyn, Noah, Lily, and Avery. Owen said that if (if Noah is a sage then Evelyn is a fool) then (Evelyn is a sage or Noah is a fool). In Evelyn's wor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"lying\", 1], [\"not... | {"split": "train", "index": 8832} |
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: Henry, Michael, Liam, Noah, and Isabella. \"it is not the case that (Liam is an altruist),\" Henry claimed. Michael expressed that Isabella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"tellin... | {"split": "train", "index": 8833} |
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, David, Chloe, James, and Zoey. Matthew remarked, \"if (Zoey is a sage and Zoey is a fool) then (Zoey is a fool and Chloe is a fool)\". \"(Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\... | {"split": "train", "index": 8834} |
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, Victoria, Lucas, Matthew, and Amelia. Emily said that (Lucas is an egoist or Amelia is an altruist) if and only if (Victoria is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"->\... | {"split": "train", "index": 8835} |
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: Evelyn, Isabella, Zoey, Michael, and Jackson. According to Evelyn, \"if (Michael is a laggard and Michael is a pioneer) then (Zoey is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]... | {"split": "train", "index": 8836} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Elizabeth, Grace, Jacob, and Sophia. Charlotte said, \"(Elizabeth is an altruist) and (Jacob is an egoist or Sophia is an altruist).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 0]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\"... | {"split": "train", "index": 8837} |
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, Mason, Grace, Sebastian, and Jack. In Owen's words: \"(if Jack is a knave then Jack is a knight) or (Grace is a knight if and only if Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 8838} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Noah, Daniel, Avery, and Evelyn. William stated, \"(if Avery is a sage then Evelyn is a sage) or (Daniel is a fool if and only if William is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 4], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 8839} |
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: Mia, Mason, Alexander, Riley, and Scarlett. As Mia put it, \"(Scarlett is a knight) and (Alexander is a knight if and only if Riley is a knight)\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"l... | {"split": "train", "index": 8840} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: David, Matthew, Ethan, Henry, and Abigail. \"it is not the case that (Henry is a villain if and only if Abigail is a hero)\" - David. Matthew asserte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"lying\", 4], [\"an... | {"split": "train", "index": 8841} |
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: Ethan, Sebastian, Zoey, Lucas, and Harper. \"(Sebastian is an egoist if and only if Lucas is an egoist) or (Harper is an egoist),\" Ethan decla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"tellin... | {"split": "train", "index": 8842} |
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: Penelope, Emily, Charlotte, Harper, and Owen. As Penelope put it, \"it is not the case that (Charlotte is a pioneer or Harper is a laggard)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"ly... | {"split": "train", "index": 8843} |
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, Sophia, Sebastian, Aurora, and Joseph. David was heard saying, \"(Aurora is a knave and David is a knight) or (Joseph is a knave)\". Sophia co... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"l... | {"split": "train", "index": 8844} |
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: Ava, Noah, Penelope, Lucas, and Sebastian. \"(Noah is a laggard and Lucas is a laggard) if and only if (Lucas is a laggard and Sebastian is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1... | {"split": "train", "index": 8845} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Chloe, Oliver, Michael, and Grace. As Scarlett put it, \"(Chloe is a laggard) if and only if (if Michael is a pioneer then Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"... | {"split": "train", "index": 8846} |
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: Sophia, Alexander, Mason, Chloe, and Henry. Sophia said that (Sophia is a knight if and only if Mason is a knight) and (if Henry is a knight then Sop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"ly... | {"split": "train", "index": 8847} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Amelia, Olivia, Sophia, and Elizabeth. Benjamin said that Elizabeth is a villain if and only if (if Elizabeth is a hero then Sophia is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 8848} |
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: Amelia, Avery, Oliver, Evelyn, and Abigail. \"if (Evelyn is a laggard and Amelia is a pioneer) then (Evelyn is a pioneer),\" Amelia mentioned. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 8849} |
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: Michael, Ella, Liam, Grace, and Victoria. In a statement by Michael: \"it is not the case that (Liam is a devil or Grace is a devil)\". Ella expressed ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling... | {"split": "train", "index": 8850} |
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: Luke, Alexander, Harper, Emily, and Chloe. \"(if Alexander is an angel then Harper is a devil) or Emily is an angel,\" Luke mentioned. \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 0]], [\"<... | {"split": "train", "index": 8851} |
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: Ethan, Samuel, Olivia, Mason, and Aiden. Ethan expressed that Ethan is an altruist and (if Aiden is an egoist then Mason is an egoist). \"(Aide... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]... | {"split": "train", "index": 8852} |
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: Sofia, Ethan, Benjamin, Scarlett, and Ava. Sofia remarked, \"Ava is a sinner\". Ethan told you that (Sofia is a sinner or Ava is a sinner) or (Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 0]]], [\"a... | {"split": "train", "index": 8853} |
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, Daniel, Jacob, Logan, and Chloe. Evelyn stated, \"(Chloe is a devil and Logan is an angel) or (Daniel is an angel)\". \"it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [... | {"split": "train", "index": 8854} |
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: Scarlett, Matthew, James, Sebastian, and Victoria. Scarlett said that Matthew is a sinner. \"(Sebastian is a sinner if and only if Matthew is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\... | {"split": "train", "index": 8855} |
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, Logan, Owen, Elizabeth, and Alexander. Jacob said that (Logan is a fool if and only if Alexander is a fool) and Jacob is a sage. Logan said that Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1... | {"split": "train", "index": 8856} |
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, Oliver, Zoey, Scarlett, and Avery. Ethan expressed that it is not the case that (Avery is a fool and Scarlett is a fool). Oliver asserted: \"it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [... | {"split": "train", "index": 8857} |
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: Victoria, Sebastian, Benjamin, Scarlett, and Lucas. Victoria was heard saying, \"it is not the case that (if Benjamin is a devil then Victoria is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"lying\", 1], [\"<=>\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 8858} |
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: Riley, Noah, Elizabeth, Sophia, and Aria. Riley expressed that (Sophia is a pioneer and Riley is a pioneer) and (Sophia is a laggard or Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lyi... | {"split": "train", "index": 8859} |
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: Ella, Isabella, Mia, Victoria, and Lucas. \"if (Isabella is a pioneer and Lucas is a laggard) then (Isabella is a pioneer if and only if Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 2], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 8860} |
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: Aurora, Sofia, Alexander, Owen, and Abigail. Aurora remarked, \"Abigail is a knave if and only if (Owen is a knight or Abigail is a knave)\". As Sofi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 1], [\"or\", [\"or... | {"split": "train", "index": 8861} |
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: Logan, Aurora, Jacob, Harper, and Olivia. In a statement by Logan: \"Jacob is a hero\". \"if (Logan is a villain) then (if Jacob is a villain then Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"telling-truth\", 2],... | {"split": "train", "index": 8862} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Grace, Ethan, Liam, Chloe, and Noah. \"Ethan is a villain,\" Grace claimed. Ethan commented, \"if Noah is a hero then (Liam is a villain or Liam is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [... | {"split": "train", "index": 8863} |
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: Noah, Penelope, Jackson, Aiden, and Isabella. In a statement by Noah: \"if (if Aiden is a sage then Penelope is a sage) then (Jackson is a sage or Aiden is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\... | {"split": "train", "index": 8864} |
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: Charlotte, Michael, Jacob, Logan, and Lucas. \"Jacob is a knight if and only if (if Michael is a knave then Lucas is a knight)\" - Charlotte. \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 8865} |
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: Samuel, Isabella, Owen, Luke, and Liam. Samuel stated, \"(if Luke is an altruist then Liam is an egoist) if and only if (Luke is an egoist)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"a... | {"split": "train", "index": 8866} |
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, Jackson, Emily, Victoria, and Elizabeth. \"(Jackson is a laggard or Elizabeth is a laggard) or (Emily is a pioneer and Elizabeth is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 1]]], [\"lying\", 2], [\"tell... | {"split": "train", "index": 8867} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Charlotte, Harper, Victoria, Oliver, and Aurora. According to Charlotte, \"Harper is a villain if and only if (Victoria is a hero if and only if Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-tr... | {"split": "train", "index": 8868} |
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, Owen, Ethan, Liam, and Evelyn. Jackson said, \"(Jackson is a fool) and (Ethan is a sage).\" Owen was heard saying, \"it is not the case that (Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"and\", [\"l... | {"split": "train", "index": 8869} |
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: Henry, Lily, Sophia, Jackson, and Sebastian. Henry stated, \"Jackson is a fool\". Lily was heard saying, \"(Sebastian is a sage if and only if Sophia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"lying\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"l... | {"split": "train", "index": 8870} |
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, Avery, William, Sofia, and Emma. According to Riley, \"if (Sofia is an angel and Sofia is a devil) then (William is a devil if and only if Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"ly... | {"split": "train", "index": 8871} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Joseph, Lucas, Liam, and Charlotte. William remarked, \"if William is an angel then (Liam is a devil and William is an angel)\". As Joseph put... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], ... | {"split": "train", "index": 8872} |
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: Amelia, Owen, Avery, Luke, and Oliver. Amelia told you that if Avery is an altruist then (Luke is an egoist and Oliver is an egoist). Owen told... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"lying\", 0], [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"and\", [\"t... | {"split": "train", "index": 8873} |
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, Aria, Sebastian, Daniel, and David. Lily told you that if (Sebastian is a hero) then (Sebastian is a villain). Aria stated, \"if (Daniel is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 3]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\... | {"split": "train", "index": 8874} |
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, Logan, Owen, Aria, and Henry. Emma stated, \"(Logan is a knight) and (Owen is a knight and Owen is a knave)\". According to Logan, \"(Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 8875} |
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, Aurora, Riley, Zoey, and Victoria. Jacob said that (Jacob is an altruist if and only if Zoey is an altruist) or (Aurora is an altruist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-tr... | {"split": "train", "index": 8876} |
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, James, Zoey, Sebastian, and Harper. In a statement by Jacob: \"(Zoey is a villain if and only if Sebastian is a villain) if and only if (James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"telling-truth\", 1]], [\"->\", [\"->\", [\"... | {"split": "train", "index": 8877} |
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, Victoria, Lucas, Ava, and Charlotte. \"Charlotte is a hero,\" Jackson claimed. Victoria noted, \"Lucas is a villain\". Lucas said that (Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"telling-truth\", 4], [\"lying\", 2], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"lying\", 0],... | {"split": "train", "index": 8878} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: David, Aurora, Samuel, Grace, and William. As David put it, \"(if William is a hero then Aurora is a hero) and Samuel is a hero\". \"if (David is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 8879} |
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, Daniel, Joseph, Zoey, and Alexander. Aiden told you that if Zoey is a hero then Daniel is a hero. Daniel remarked, \"Joseph is a hero\". In a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 1], [\"or\", [\"... | {"split": "train", "index": 8880} |
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, Jack, Mason, Ethan, and Elizabeth. Emma commented, \"(Mason is a knight) and (Ethan is a knight if and only if Jack is a knight)\". In a statem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-tr... | {"split": "train", "index": 8881} |
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: Aurora, Lily, Benjamin, Isabella, and Aiden. \"(Aiden is an angel if and only if Aiden is a devil) if and only if (if Aiden is an angel then Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 8882} |
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, Zoey, Elizabeth, Aria, and William. In Ella's words: \"(Elizabeth is an egoist or William is an altruist) if and only if (Aria is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1]... | {"split": "train", "index": 8883} |
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, Liam, Matthew, Amelia, and Joseph. Penelope said that (Matthew is a sage and Penelope is a sage) if and only if (Joseph is a sage and Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"te... | {"split": "train", "index": 8884} |
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, Sebastian, Jacob, Riley, and Zoey. \"Zoey is a saint,\" Abigail mentioned. \"it is not the case that (if Zoey is a sinner then Sebastian is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"not... | {"split": "train", "index": 8885} |
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, Mia, Lucas, Amelia, and Chloe. Zoey asserted: \"(Amelia is an egoist or Chloe is an altruist) if and only if (Mia is an altruist)\". In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 8886} |
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, Mia, Avery, Riley, and Aurora. In William's words: \"it is not the case that (Riley is a knave or Aurora is a knave)\". Mia said, \"Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"or\", [\"lying\", 4], [\"or\", [\"te... | {"split": "train", "index": 8887} |
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, Joseph, Oliver, Michael, and Olivia. Jack noted, \"(Olivia is a villain and Michael is a hero) if and only if (Michael is a hero)\". According ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\... | {"split": "train", "index": 8888} |
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: Victoria, Aiden, Scarlett, Chloe, and Riley. In a statement by Victoria: \"if Aiden is an egoist then Scarlett is an egoist\". Aiden was heard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"->\", [\"lying\", 1], [\"lying\", 2]], [\"lying\", 3], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 1],... | {"split": "train", "index": 8889} |
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, Isabella, Evelyn, William, and Ella. Luke asserted: \"Evelyn is an egoist\". According to Isabella, \"Luke is an egoist if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"lying\", 2], [\"<=>\", [\"lying\", 0], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"lying\", 3], [\"not\", [\"telling-truth\", 1]], [\"lying\", 0]], \"solution\": [false, true, true, fal... | {"split": "train", "index": 8890} |
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, Benjamin, Mason, Ella, and Charlotte. \"(Owen is an altruist and Charlotte is an altruist and Ella is an altruist) or (Ella is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"te... | {"split": "train", "index": 8891} |
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, Aiden, Michael, Olivia, and David. Luke commented, \"Aiden is a pioneer\". Aiden expressed that (Luke is a pioneer or Luke is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 8892} |
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, Sofia, Scarlett, Sebastian, and Henry. Alexander noted, \"Sofia is a knave\". Sofia expressed that if (if Sofia is a knight then Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"lying\", 1], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<... | {"split": "train", "index": 8893} |
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: Aiden, David, Emma, Benjamin, and Sofia. \"(Sofia is a knave or Emma is a knight) or (if Benjamin is a knight then Benjamin is a knave),\" Aiden clai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 8894} |
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: Aiden, Grace, Emily, Ella, and Sofia. Aiden commented, \"it is not the case that (Grace is a knight and Emily is a knave)\". Grace said that it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 0]]], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 8895} |
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, Aria, Charlotte, Henry, and Sebastian. In a statement by Emily: \"(if Charlotte is an altruist then Henry is an altruist) and (Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth... | {"split": "train", "index": 8896} |
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, William, Harper, Daniel, and Ethan. \"Ethan is a laggard,\" Noah declared. William expressed that (Harper is a pioneer) or (Daniel is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [... | {"split": "train", "index": 8897} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Penelope, Matthew, Daniel, and Chloe. William commented, \"Chloe is an angel\". Penelope said, \"Chloe is a devil.\" In a statement by Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 4]], [\"... | {"split": "train", "index": 8898} |
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, Liam, Avery, Ava, and Charlotte. In a statement by Mason: \"(Ava is a sage) or Avery is a fool or (Liam is a fool or Liam is a sage)\". Liam noted, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 2], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4]... | {"split": "train", "index": 8899} |
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