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: Avery, Abigail, Owen, Amelia, and Sophia. Avery asserted: \"Abigail is a sinner\". Abigail remarked, \"Owen is a sinner\". \"if (Owen is a sinner) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"lying\", 1], [\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], ... | {"split": "train", "index": 14200} |
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, Benjamin, William, Samuel, and Harper. \"William is a laggard if and only if ((Harper is a laggard and Harper is a pioneer) or (Samuel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"<=>\", [\"lying\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"telling-truth\", 2]], [\"... | {"split": "train", "index": 14201} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Luke, Ella, Ethan, and Harper. Zoey remarked, \"Harper is a pioneer\". As Luke put it, \"(Ethan is a pioneer and (Zoey is a laggard)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-... | {"split": "train", "index": 14202} |
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, Abigail, Victoria, James, and Evelyn. According to Aiden, \"Victoria is a sage or ((James is a fool or Aiden is a sage) if and only if James is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]]... | {"split": "train", "index": 14203} |
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, Amelia, Henry, Owen, and Penelope. \"Amelia is a pioneer and (it is not the case that (Amelia is a pioneer))\" - Luke. \"(if (if Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"not\", [\"not\", [\"lying\", 1]]]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"... | {"split": "train", "index": 14204} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Penelope, Noah, Ethan, and Daniel. In a statement by Sofia: \"(it is not the case that (Penelope is an angel and Sofia is an angel)) and ((Ethan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\",... | {"split": "train", "index": 14205} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Michael, Samuel, Aiden, and Joseph. \"((Samuel is an angel or Aiden is an angel) if and only if Samuel is an angel) if and only if ((Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2],... | {"split": "train", "index": 14206} |
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: Daniel, Sophia, Evelyn, Harper, and Aiden. In a statement by Daniel: \"(Harper is a sinner or (if Sophia is a sinner then Sophia is a saint)) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]]],... | {"split": "train", "index": 14207} |
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, Aurora, Lily, Elizabeth, and Amelia. As Emma put it, \"((if Amelia is a sinner then Aurora is a saint) or (Lily is a saint if and only if Eliza... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"telling-truth\", 3]], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 14208} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Owen, Sophia, Evelyn, and Riley. \"Riley is a devil if and only if (if (if Evelyn is a devil then Elizabeth is an angel) then (Owen is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"<=>\", [\"lying\", 4], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]]], [\"lying\", 3], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"not\",... | {"split": "train", "index": 14209} |
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, Evelyn, William, and Logan. Noah remarked, \"it is not the case that ((Evelyn is a devil and Evelyn is an angel) if and only if (William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", ... | {"split": "train", "index": 14210} |
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: Matthew, Lucas, Zoey, Aria, and Owen. According to Matthew, \"if (Lucas is a villain and Lucas is a hero) then ((Lucas is a villain) and Zoey is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\",... | {"split": "train", "index": 14211} |
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: Zoey, Daniel, Michael, Lily, and Ethan. Zoey was heard saying, \"it is not the case that ((Ethan is a knave if and only if Ethan is a knight) and (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"lying\", 3], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"and\", [\"tellin... | {"split": "train", "index": 14212} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, James, Aurora, Oliver, and Amelia. Sofia commented, \"if (it is not the case that (if Sofia is a sage then Aurora is a sage)) then (it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], ... | {"split": "train", "index": 14213} |
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, Joseph, Evelyn, Avery, and Logan. As Jacob put it, \"(Avery is a laggard if and only if (Logan is a laggard and Joseph is a laggard)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"or\", [\"no... | {"split": "train", "index": 14214} |
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: Michael, Oliver, Elizabeth, Alexander, and Ethan. Michael expressed that ((Oliver is a laggard) and (Elizabeth is a laggard and Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"and\", [\"tell... | {"split": "train", "index": 14215} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Avery, Amelia, Jackson, and David. Zoey told you that Jackson is a laggard. Avery asserted: \"it is not the case that (Zoey is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"<=>\", [\"lying\",... | {"split": "train", "index": 14216} |
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, Joseph, Chloe, William, and Noah. Mia commented, \"(William is an egoist if and only if (if William is an altruist then Mia is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 1]]], [\"not\", [\"not\", [\"<=>\", ... | {"split": "train", "index": 14217} |
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: Daniel, Elizabeth, Ava, Ella, and Emily. \"Elizabeth is a pioneer,\" Daniel mentioned. Elizabeth told you that Emily is a laggard or ((Daniel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 2]]]], [\"not\", [\"lying\", 4]], [\"not\", [\"no... | {"split": "train", "index": 14218} |
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: Avery, Abigail, Scarlett, Owen, and Ava. Avery said, \"((if Ava is a knave then Scarlett is a knave) if and only if (Abigail is a knave)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-tr... | {"split": "train", "index": 14219} |
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: Alexander, Sofia, Chloe, Zoey, and Owen. In Alexander's words: \"((Chloe is a hero if and only if Chloe is a villain) and (Alexander is a hero or Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 2... | {"split": "train", "index": 14220} |
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, Sophia, Aurora, Lily, and Lucas. Jacob noted, \"(if Sophia is an altruist then (Aurora is an egoist)) if and only if (if (Aurora is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"or\", [\"<... | {"split": "train", "index": 14221} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Ella, David, Grace, and Mia. \"((Isabella is an angel and Grace is an angel) and (Mia is an angel)) or ((Ella is a devil) or Ella is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 1]]], [\"not\", [\"or\", [\"and\", [\"tell... | {"split": "train", "index": 14222} |
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: Ava, Avery, Victoria, Joseph, and Sophia. Ava noted, \"if (it is not the case that (if Joseph is a knight then Sophia is a knight)) then (if (Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 1]]], [\"lying\", 2], [\"and\", [\"or\", [\"or\", [\"telling-t... | {"split": "train", "index": 14223} |
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, Samuel, Emily, Ethan, and Mason. Amelia asserted: \"if ((Samuel is an egoist and Emily is an altruist) if and only if Amelia is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"-... | {"split": "train", "index": 14224} |
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: James, Mason, Elizabeth, Jackson, and Logan. James said that Jackson is an egoist. In Mason's words: \"(Logan is an egoist and (James is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\... | {"split": "train", "index": 14225} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Noah, Michael, Aiden, and Aurora. \"(it is not the case that (Michael is a laggard)) if and only if ((Noah is a laggard) and (Michael is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"->\", [\"telling-tr... | {"split": "train", "index": 14226} |
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, Evelyn, Jacob, Aria, and James. As Sebastian put it, \"Evelyn is a pioneer\". \"((Jacob is a pioneer and Evelyn is a pioneer) and (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 2]]]], [\"->\", [\"or\", ... | {"split": "train", "index": 14227} |
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, Sofia, Evelyn, Daniel, and Harper. \"((Harper is a pioneer) or (Evelyn is a laggard or Harper is a pioneer)) if and only if (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"lying\", 2], [\"and\", [\"->\", [\"and\",... | {"split": "train", "index": 14228} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: James, David, Victoria, Lily, and Owen. James expressed that Lily is a saint. \"it is not the case that ((Owen is a sinner) or James is a saint),\" D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 14229} |
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: Emma, Daniel, Jacob, Noah, and Aria. \"Jacob is a sage,\" Emma claimed. Daniel said, \"((Aria is a fool if and only if Noah is a sage) if and only if (Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 0]]... | {"split": "train", "index": 14230} |
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, Amelia, Samuel, Henry, and Emma. Noah remarked, \"(if (Samuel is a laggard if and only if Henry is a laggard) then (Emma is a laggard)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"or\", [\"and\", [\"lying\", ... | {"split": "train", "index": 14231} |
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: Lucas, Aria, Lily, Matthew, and Elizabeth. Lucas said, \"(if Lily is a villain then (if Matthew is a villain then Matthew is a hero)) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"lying\", 0], [\"->\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 14232} |
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, Aria, William, Zoey, and Alexander. Amelia noted, \"it is not the case that ((Zoey is an egoist if and only if Zoey is an altruist) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 14233} |
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, Emma, Luke, Charlotte, and Zoey. Lucas noted, \"Charlotte is a devil if and only if (Charlotte is an angel)\". Emma asserted: \"(it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"<=>\", [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"lying\", 0], [\"lying\", 4]]]], [\"and\", [\"and\", [\"l... | {"split": "train", "index": 14234} |
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: Avery, Evelyn, Matthew, Owen, and Ava. Avery asserted: \"Evelyn is a pioneer\". In Evelyn's words: \"((Ava is a pioneer or Owen is a laggard) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]... | {"split": "train", "index": 14235} |
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, Joseph, Ethan, Daniel, and Amelia. Abigail said that Amelia is a sinner. \"(if Joseph is a saint then (Daniel is a saint)) and (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 1], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"lying\", 4], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 14236} |
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: Zoey, Lily, Penelope, Jackson, and Ethan. Zoey asserted: \"if Ethan is a devil then ((Penelope is an angel if and only if Jackson is an angel) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"->\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"t... | {"split": "train", "index": 14237} |
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, Zoey, Isabella, Michael, and Abigail. Logan commented, \"if (Zoey is a fool and (Logan is a sage or Michael is a fool)) then (if (Abigail is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 3]... | {"split": "train", "index": 14238} |
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, Ethan, Aurora, Chloe, and Noah. Amelia was heard saying, \"it is not the case that (if (Aurora is an egoist if and only if Ethan is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 3]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 4]], [\"lying\"... | {"split": "train", "index": 14239} |
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, Ava, Sophia, David, and Samuel. Victoria stated, \"(it is not the case that (David is an angel or Ava is an angel)) or ((if Sophia is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"or\", [\"-... | {"split": "train", "index": 14240} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Zoey, Aiden, Chloe, and Noah. \"(it is not the case that (Chloe is an angel if and only if Zoey is an angel)) and ((if Noah is an angel then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"or\", [\"... | {"split": "train", "index": 14241} |
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, Aiden, Matthew, Avery, and Sofia. \"it is not the case that ((Matthew is an altruist or Matthew is an egoist) and (Sofia is an egoist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"not\", [\... | {"split": "train", "index": 14242} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Liam, Sofia, Emily, Aiden, and Avery. Liam remarked, \"((if Emily is a hero then Avery is a villain) and (Sofia is a hero)) or (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 14243} |
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, Abigail, Daniel, Henry, and Samuel. As Noah put it, \"if (Daniel is a devil and (if Samuel is an angel then Samuel is a devil)) then (if (Abigail... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]]], [\"lying\", 0], [\"telling-truth\", 3], [\"<=... | {"split": "train", "index": 14244} |
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, Victoria, Aurora, Isabella, and Liam. Olivia asserted: \"((if Aurora is a hero then Isabella is a hero) if and only if (Olivia is a hero or V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>... | {"split": "train", "index": 14245} |
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: Oliver, Jacob, Michael, Olivia, and Aria. As Oliver put it, \"Aria is a pioneer\". \"if Aria is a pioneer then (it is not the case that (Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"telling-truth\", 2], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], ... | {"split": "train", "index": 14246} |
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: Riley, Samuel, Liam, Avery, and Ethan. \"if (it is not the case that (Liam is an egoist)) then ((Avery is an egoist) and Avery is an altruist)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"telling... | {"split": "train", "index": 14247} |
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: Aria, Isabella, Daniel, Joseph, and Logan. \"(if (Joseph is a hero if and only if Daniel is a hero) then (Isabella is a hero and Aria is a hero)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 1]]... | {"split": "train", "index": 14248} |
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, Mia, Liam, Joseph, and Sofia. \"if Sofia is a villain then Mia is a hero,\" Noah declared. \"Liam is a hero and (it is not the case that (Noah ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"not\", [\"lying\", 0]]]], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 14249} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Grace, Emma, David, and Daniel. \"it is not the case that ((Grace is a knave or Elizabeth is a knight) and (Emma is a knight if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"not\", [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 0], [\"lying\", ... | {"split": "train", "index": 14250} |
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: Aurora, Logan, Scarlett, Aria, and Benjamin. As Aurora put it, \"if Scarlett is a sage then ((Scarlett is a fool) and (Aria is a sage or Benjamin is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"t... | {"split": "train", "index": 14251} |
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, Alexander, Isabella, Evelyn, and Aiden. Lily was heard saying, \"Evelyn is a devil\". In a statement by Alexander: \"(if (if Isabella is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 3], ... | {"split": "train", "index": 14252} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Samuel, Joseph, Luke, and Aurora. Lucas asserted: \"((Samuel is a saint if and only if Luke is a saint) if and only if (if Aurora is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"telling-truth\", 3]], [\"not\", [\"not\", [\"not\", [\"lying\", 4]]]], [\"<=>\",... | {"split": "train", "index": 14253} |
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, Sebastian, Ella, William, and Mason. Ethan said that it is not the case that ((Ethan is a sage if and only if Sebastian is a fool) and (Ella is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\... | {"split": "train", "index": 14254} |
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: Evelyn, Elizabeth, Emily, Riley, and Sebastian. Evelyn expressed that it is not the case that (if (Elizabeth is a sinner or Elizabeth is a saint) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 14255} |
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: Elizabeth, Penelope, Joseph, Aria, and Aiden. \"(it is not the case that (Aiden is a sinner and Aria is a saint)) and (if (Joseph is a sinner or Pene... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\... | {"split": "train", "index": 14256} |
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: Ava, Charlotte, Liam, Mason, and Logan. As Ava put it, \"((Logan is an altruist or Charlotte is an altruist) if and only if (Charlotte is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 14257} |
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: Harper, Jack, Matthew, James, and Olivia. Harper remarked, \"((Olivia is a villain and Jack is a villain) or (Jack is a villain and Olivia is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 1]]], [\"no... | {"split": "train", "index": 14258} |
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, Zoey, Amelia, Joseph, and James. Grace said, \"Joseph is a hero or (it is not the case that (Joseph is a hero and James is a villain)).\" In Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4... | {"split": "train", "index": 14259} |
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: Lily, Samuel, Avery, Penelope, and Isabella. Lily told you that it is not the case that ((Samuel is an egoist if and only if Avery is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [... | {"split": "train", "index": 14260} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Amelia, Evelyn, Penelope, and Jackson. As Jack put it, \"Evelyn is an angel and ((if Evelyn is a devil then Jackson is an angel) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"->\", [\"te... | {"split": "train", "index": 14261} |
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: Victoria, Samuel, Isabella, Olivia, and Charlotte. \"(it is not the case that (if Victoria is a pioneer then Charlotte is a pioneer)) or (if Is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [\"telling-truth\", 2], [\"or\"... | {"split": "train", "index": 14262} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Noah, Owen, Samuel, Mason, and Sebastian. Noah said, \"Sebastian is an egoist.\" As Owen put it, \"(it is not the case that (Mason is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]]], [\"or\", [\"->... | {"split": "train", "index": 14263} |
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: Henry, Liam, Ava, Evelyn, and Victoria. \"if (if (if Evelyn is a sinner then Victoria is a saint) then (if Evelyn is a saint then Ava is a sinner)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]... | {"split": "train", "index": 14264} |
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, Elizabeth, Harper, Lucas, and Aiden. Liam noted, \"Elizabeth is a knave\". In a statement by Elizabeth: \"Elizabeth is a knight or (if (Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"lying\", 1], [\"or\", [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"not\", [\"lying\", 4]], [\"->\", [\"<=>\", [\"<=>... | {"split": "train", "index": 14265} |
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: Daniel, Aria, Aurora, Ella, and Victoria. According to Daniel, \"Aria is a sage if and only if (if (if Ella is a fool then Aria is a sage) then (if Victori... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"lyin... | {"split": "train", "index": 14266} |
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, Michael, Sebastian, Daniel, and Jack. \"Michael is a sinner,\" Emma claimed. Michael was heard saying, \"if ((Daniel is a sinner) and (Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"tell... | {"split": "train", "index": 14267} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mason, Avery, Emily, Ava, and Oliver. Mason told you that ((Avery is a devil) or Avery is a devil) or ((Oliver is a devil if and only if Avery is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 1]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"telling-truth\", 4], [\"o... | {"split": "train", "index": 14268} |
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: James, Zoey, Ella, Victoria, and Oliver. James said that (if (Victoria is a sage or Victoria is a fool) then (Victoria is a fool if and only if James is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"and\", [\... | {"split": "train", "index": 14269} |
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: Scarlett, Amelia, Henry, Alexander, and Sofia. In a statement by Scarlett: \"if ((Sofia is an angel or Scarlett is an angel) if and only if (Henry is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lyi... | {"split": "train", "index": 14270} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: James, Michael, Daniel, Emma, and Noah. James was heard saying, \"it is not the case that ((Michael is a laggard) if and only if (if Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 4]], [\"telling-t... | {"split": "train", "index": 14271} |
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, Lily, Michael, Victoria, and Harper. Ethan was heard saying, \"it is not the case that ((Lily is a sage or Victoria is a fool) and (Ethan is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"an... | {"split": "train", "index": 14272} |
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: Chloe, Henry, Liam, James, and Evelyn. Chloe remarked, \"Liam is an angel\". In a statement by Henry: \"(Henry is an angel if and only if James is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"not... | {"split": "train", "index": 14273} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Isabella, Victoria, Sofia, Grace, and Noah. Isabella noted, \"if ((if Noah is a pioneer then Noah is a laggard) and (Sofia is a laggard or Grac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 4]]], [\"or\... | {"split": "train", "index": 14274} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, Daniel, Olivia, Lucas, and Oliver. Mia expressed that Daniel is a villain. Daniel said, \"((Mia is a villain or Olivia is a hero) and (if Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], ... | {"split": "train", "index": 14275} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Aurora, Emma, Ethan, and Abigail. Michael said that (it is not the case that (Ethan is a hero)) or (if (Michael is a villain) then (Emma is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth... | {"split": "train", "index": 14276} |
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, Jackson, Ava, Aurora, and Zoey. Samuel noted, \"it is not the case that ((Zoey is an egoist or Ava is an egoist) or (Zoey is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"... | {"split": "train", "index": 14277} |
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, Owen, Jacob, Mason, and Emily. \"(if (Emily is an altruist) then (Owen is an egoist or Owen is an altruist)) if and only if ((if Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 14278} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, Matthew, Lily, Penelope, and Sophia. As Mia put it, \"((Sophia is a villain if and only if Matthew is a hero) and (Penelope is a hero and Lily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-... | {"split": "train", "index": 14279} |
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: Charlotte, Luke, Harper, Michael, and Avery. Charlotte noted, \"if (if (Avery is an angel or Harper is an angel) then (Avery is an angel)) then (Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"not\", ... | {"split": "train", "index": 14280} |
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, Ava, Jackson, Henry, and Benjamin. \"Jackson is a laggard,\" Riley declared. In Ava's words: \"Riley is a laggard\". Jackson said, \"Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"lying\", 2], [\"lying\", 0], [\"lying\", 4], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3]]], [\"lying\", 3]... | {"split": "train", "index": 14281} |
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, Benjamin, Aurora, Aiden, and Mason. \"Aurora is a fool,\" Olivia declared. Benjamin was heard saying, \"Aurora is a fool\". Aurora commented, \"((O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"lying\", 2], [\"lying\", 2], [\"and\", [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and... | {"split": "train", "index": 14282} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Daniel, Noah, Alexander, Aurora, and Zoey. Daniel commented, \"((Noah is an altruist and Zoey is an altruist) and (Aurora is an altruist)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"and\", [\"a... | {"split": "train", "index": 14283} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Owen, James, Emma, and Benjamin. \"if ((David is an angel if and only if Owen is an angel) and (Benjamin is a devil or David is an angel)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"lying\", 3], [\"and\... | {"split": "train", "index": 14284} |
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, Sofia, Isabella, Riley, and Henry. \"((Riley is a hero or Isabella is a hero) if and only if (Riley is a hero)) or Riley is a villain,\" Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"lying\", 3]], [\"->\", [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"and\", [... | {"split": "train", "index": 14285} |
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, Noah, Emma, Elizabeth, and Lily. Aiden said, \"if (if (Emma is a hero or Elizabeth is a villain) then (Lily is a villain and Aiden is a hero))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4],... | {"split": "train", "index": 14286} |
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: Jackson, Michael, Isabella, Lily, and Scarlett. \"Scarlett is an angel,\" Jackson claimed. According to Michael, \"Isabella is an angel\". \"if ((Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-trut... | {"split": "train", "index": 14287} |
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: Daniel, Abigail, Alexander, Henry, and Lucas. Daniel stated, \"it is not the case that ((Abigail is a sinner) or (if Lucas is a sinner then Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 3]]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [... | {"split": "train", "index": 14288} |
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: Henry, Grace, Emma, Oliver, and Harper. Henry noted, \"it is not the case that ((Oliver is a knave and Emma is a knave) if and only if (Harper is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 4]]]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"<=... | {"split": "train", "index": 14289} |
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, Harper, Isabella, Joseph, and Victoria. Amelia expressed that ((Isabella is a knave) or (if Joseph is a knave then Victoria is a knave)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", ... | {"split": "train", "index": 14290} |
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: Henry, Aria, Owen, James, and Mason. According to Henry, \"((Owen is a devil if and only if Henry is an angel) if and only if (Owen is an angel)) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"->\", [\"and\", [\"or\", [\"telling-trut... | {"split": "train", "index": 14291} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Sebastian, Oliver, Harper, and Ava. \"Sebastian is a sage or ((Oliver is a fool or Sebastian is a sage) or (Harper is a fool and Ava is a sage)),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lyi... | {"split": "train", "index": 14292} |
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, Mia, Zoey, Victoria, and Mason. According to Penelope, \"(Penelope is a sage if and only if (if Mia is a sage then Zoey is a fool)) and Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"lying\", 2]], [\"not\", [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 0], [\"lying\", 4]]]], [\"or\", [\... | {"split": "train", "index": 14293} |
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: Jackson, Elizabeth, Ava, Riley, and Luke. Jackson expressed that (if (Luke is a pioneer if and only if Elizabeth is a laggard) then (Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 14294} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Mia, Abigail, Penelope, and Logan. As Harper put it, \"if (if (Penelope is a knave and Mia is a knight) then (Penelope is a knight and Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"or\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 14295} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Alexander, Lucas, Jacob, and Ella. In Noah's words: \"it is not the case that ((Alexander is a saint if and only if Ella is a sinner) or (Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"lying\", 2], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", ... | {"split": "train", "index": 14296} |
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, Zoey, Victoria, William, and Henry. \"if (it is not the case that (if Henry is a knight then William is a knight)) then Henry is a knave,\" Ai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<... | {"split": "train", "index": 14297} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aiden, Michael, Grace, Chloe, and Elizabeth. In Aiden's words: \"if Chloe is a laggard then (it is not the case that (if Chloe is a laggard the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"<=... | {"split": "train", "index": 14298} |
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, James, Jackson, Elizabeth, and Mason. \"Jackson is a sage,\" Evelyn mentioned. According to James, \"James is a sage\". Jackson told you that ((Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"<=>\", [\"lying\", 4], ... | {"split": "train", "index": 14299} |
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