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: Henry, Ava, Abigail, Luke, and Isabella. \"(if (Luke is a pioneer) then (Luke is a laggard if and only if Isabella is a pioneer)) or (it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and\", [\"<=>\", [\"and\", [\"tell... | {"split": "train", "index": 14100} |
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, Jack, Avery, Lucas, and Sophia. As Victoria put it, \"((Avery is an angel if and only if Lucas is a devil) and (Avery is a devil or Lucas is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"not\", [\"tellin... | {"split": "train", "index": 14101} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Lily, Aria, Michael, and Mia. \"(if (Lily is a knave if and only if Mia is a knave) then (Michael is a knight)) and (if (Aria is a knave) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"->\", ... | {"split": "train", "index": 14102} |
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, Logan, Victoria, and Oliver. According to Amelia, \"((Victoria is an egoist and Oliver is an altruist) if and only if (Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 14103} |
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: Emily, David, Amelia, Victoria, and Sebastian. Emily stated, \"Amelia is an angel\". David told you that if (if (Amelia is an angel or Victoria is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\... | {"split": "train", "index": 14104} |
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, Luke, Oliver, Jacob, and Ella. Aria asserted: \"it is not the case that ((Luke is a hero or Oliver is a villain) if and only if (if Jacob is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"lying\", 3], [\"lying\", 1], [\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"tel... | {"split": "train", "index": 14105} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Aiden, Emily, Michael, and Sofia. Emma remarked, \"if ((Sofia is an altruist and Aiden is an altruist) or (Emma is an altruist or Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 2]... | {"split": "train", "index": 14106} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Harper, Emma, Owen, Matthew, and Victoria. \"Victoria is a laggard and ((if Owen is a laggard then Victoria is a laggard) if and only if (Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 14107} |
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, Victoria, Lucas, Avery, and Penelope. \"Lucas is a saint,\" Abigail declared. Victoria told you that Abigail is a saint. Lucas remarked, \"A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"not\", [\"lying\", 2]], [\"telling-truth\", 0], [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 2]]]], [... | {"split": "train", "index": 14108} |
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: Alexander, Aurora, Ethan, Mia, and Daniel. Alexander was heard saying, \"if ((Ethan is a sage or Mia is a fool) or Alexander is a sage) then ((Ethan is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]]], [\"lying\", 0], [\"and\", [\"and\", [... | {"split": "train", "index": 14109} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Lucas, Aurora, Jacob, and Luke. \"Aurora is an altruist,\" Emma mentioned. In Lucas's words: \"it is not the case that (it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 14110} |
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: Victoria, Aurora, Alexander, Olivia, and Daniel. Victoria said that if Aurora is a knight then (Aurora is a knave if and only if (Victoria is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 1], [\"not\", [\"telling-truth\", 0]]]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\... | {"split": "train", "index": 14111} |
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, Jackson, Ella, Ava, and Amelia. Aiden said that Aiden is a knight. Jackson expressed that Aiden is a knight. According to Ella, \"Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"telling-truth\", 0], [\"telling-truth\", 0], [\"lying\", 4], [\"and\", [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telli... | {"split": "train", "index": 14112} |
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, Ava, Aurora, Penelope, and David. Elizabeth said that ((Ava is a sinner) and Ava is a saint) if and only if ((Penelope is a saint or Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"<=>\", [\... | {"split": "train", "index": 14113} |
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: Jack, Ella, David, Mason, and Logan. Jack remarked, \"if ((Mason is a laggard if and only if Mason is a pioneer) or (David is a pioneer)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"-... | {"split": "train", "index": 14114} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, James, Luke, Matthew, and Owen. Olivia asserted: \"(it is not the case that (Luke is a sinner or James is a sinner)) and Olivia is a saint\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"l... | {"split": "train", "index": 14115} |
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, Joseph, Ava, and Evelyn. Zoey noted, \"((Ava is a sage if and only if Joseph is a sage) or (Joseph is a fool if and only if Ava is a fool)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"... | {"split": "train", "index": 14116} |
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: Penelope, Ava, Sebastian, Avery, and Scarlett. Penelope told you that (if (Avery is an altruist) then Sebastian is an egoist) and (if (Sebastia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 2]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 2]]]], [\"or\", [\"->\", [\"or\", [\"telling-... | {"split": "train", "index": 14117} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Abigail, Sofia, Harper, Benjamin, and Alexander. Abigail noted, \"((Sofia is a hero) if and only if (Abigail is a hero and Benjamin is a villain)) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 14118} |
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: Mia, Daniel, Jack, Scarlett, and Avery. Mia expressed that Scarlett is a pioneer and ((Avery is a laggard and Daniel is a pioneer) and (Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]]], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\... | {"split": "train", "index": 14119} |
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: David, Olivia, Penelope, Ella, and Liam. David was heard saying, \"if (Liam is a pioneer) then (if (if Olivia is a pioneer then David is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\... | {"split": "train", "index": 14120} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Owen, Scarlett, Ava, Olivia, and Emma. Owen was heard saying, \"Owen is a saint\". \"((if Emma is a saint then Owen is a sinner) if and only if (Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4]]]], [\"->\", [\"->\", [... | {"split": "train", "index": 14121} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lucas, Oliver, Chloe, Michael, and Ava. Lucas was heard saying, \"Michael is a pioneer or ((Lucas is a laggard) and Michael is a pioneer)\". In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]... | {"split": "train", "index": 14122} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Jack, Sophia, Lucas, and Matthew. Ethan said, \"(Sophia is a sinner) if and only if (if Matthew is a sinner then (Lucas is a saint)).\" As Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"not\", [\"lying\", 3]]]], [\"and\", [\"lying\", 2], [\"not\", [\"lying\", 0]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 4... | {"split": "train", "index": 14123} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Chloe, Sophia, Benjamin, and Jackson. As Penelope put it, \"((if Benjamin is a hero then Penelope is a hero) or Chloe is a villain) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 1]], [\"lying\", 2]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\... | {"split": "train", "index": 14124} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lucas, Amelia, Aiden, Zoey, and Charlotte. As Lucas put it, \"it is not the case that ((Aiden is a pioneer) if and only if (Charlotte is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth... | {"split": "train", "index": 14125} |
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, Daniel, Noah, Isabella, and Luke. As Alexander put it, \"if ((Daniel is a knave if and only if Isabella is a knight) or (Luke is a knave o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]... | {"split": "train", "index": 14126} |
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, Victoria, Daniel, Michael, and Joseph. Charlotte said that (if (Michael is a devil or Victoria is an angel) then (Victoria is an angel or Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth... | {"split": "train", "index": 14127} |
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, Evelyn, Lily, and Luke. According to Penelope, \"((Emily is a laggard if and only if Emily is a pioneer) and (Penelope is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 14128} |
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: Benjamin, James, Olivia, Matthew, and Henry. Benjamin was heard saying, \"((James is a knave and Henry is a knave) if and only if (James is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-... | {"split": "train", "index": 14129} |
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: Oliver, Lucas, Mason, William, and Lily. According to Oliver, \"Lucas is a knight\". Lucas was heard saying, \"it is not the case that ((if Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 2]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0... | {"split": "train", "index": 14130} |
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, Jackson, James, Victoria, and Amelia. \"Jackson is a sage,\" Owen mentioned. Jackson stated, \"((Victoria is a fool if and only if Owen is a sage) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"tel... | {"split": "train", "index": 14131} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Victoria, Evelyn, Sofia, and Olivia. Oliver noted, \"(if (if Sofia is an altruist then Oliver is an altruist) then Sofia is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [... | {"split": "train", "index": 14132} |
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, Jack, Evelyn, Ethan, and Riley. Henry told you that (if (Jack is a sinner if and only if Jack is a saint) then (Ethan is a sinner and Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 4], [... | {"split": "train", "index": 14133} |
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, Mason, Joseph, Jack, and Lucas. Noah expressed that if (it is not the case that (Joseph is a sinner if and only if Jack is a saint)) then ((if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"not\", [\"tell... | {"split": "train", "index": 14134} |
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, Sebastian, Charlotte, Ella, and Luke. As James put it, \"Ella is a sinner\". Sebastian expressed that (it is not the case that (James is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"an... | {"split": "train", "index": 14135} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Benjamin, Jack, Lily, and James. As Michael put it, \"if ((Benjamin is a fool) or Benjamin is a sage) then ((James is a fool and Jack is a fool) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]]], [\"not\", [\"and\", [\"not\"... | {"split": "train", "index": 14136} |
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, Victoria, Aiden, Owen, and Luke. In Sebastian's words: \"Aiden is an angel and (if (if Luke is a devil then Aiden is a devil) then Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"->\", [... | {"split": "train", "index": 14137} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, William, Oliver, Amelia, and Aiden. Logan said that if ((Amelia is a devil and William is an angel) or Aiden is a devil) then Logan is an angel.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 4]], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\... | {"split": "train", "index": 14138} |
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: Samuel, Owen, Matthew, Alexander, and Logan. Samuel commented, \"Owen is a sage or (it is not the case that (if Alexander is a sage then Logan is a fool))\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"and\", [\"or\", [\"->\", [\"lying\",... | {"split": "train", "index": 14139} |
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, Jacob, Abigail, Elizabeth, and Mia. In a statement by Avery: \"if ((Mia is a knave and Mia is a knight) if and only if (Elizabeth is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"lying\", 4]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"t... | {"split": "train", "index": 14140} |
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, Abigail, Aurora, Amelia, and Isabella. Aria remarked, \"it is not the case that (if (Aurora is a hero and Abigail is a hero) then (if Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not... | {"split": "train", "index": 14141} |
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: Alexander, Daniel, Emma, Isabella, and Charlotte. Alexander stated, \"Daniel is an angel\". Daniel told you that it is not the case that (if (if Alexan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 14142} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Abigail, Jackson, Avery, Matthew, and Evelyn. \"if (it is not the case that (Avery is a villain if and only if Jackson is a hero)) then (Matthew is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"lying\", 0], ... | {"split": "train", "index": 14143} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Logan, Avery, Jackson, and Aria. Jack said, \"it is not the case that (it is not the case that (Jackson is a knight or Jack is a knight)).\" Ac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"lying\", 3]]]], [\"<=>... | {"split": "train", "index": 14144} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Jackson, Joseph, Sofia, and Michael. \"it is not the case that (it is not the case that (Joseph is a saint))\" - Amelia. Jackson told you tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 2]]]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"->\", [... | {"split": "train", "index": 14145} |
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: Alexander, Henry, Logan, Aria, and Lily. Alexander remarked, \"if (Alexander is a saint and (Lily is a saint if and only if Aria is a saint)) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 14146} |
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, Mia, Scarlett, Riley, and Noah. \"Mia is a sage\" - Isabella. Mia remarked, \"((Isabella is a sage and Scarlett is a sage) and Scarlett is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"<=>\", [\"n... | {"split": "train", "index": 14147} |
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, Liam, David, Avery, and Joseph. In James's words: \"if (Liam is a fool or Avery is a fool) then (Avery is a sage and (David is a sage if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"->\", [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"tel... | {"split": "train", "index": 14148} |
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, Aiden, Penelope, Jackson, and Ethan. In a statement by Daniel: \"((Ethan is a saint if and only if Aiden is a sinner) or Ethan is a saint) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"an... | {"split": "train", "index": 14149} |
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, Scarlett, Noah, Oliver, and Emma. \"(Oliver is a knave or (Oliver is a knave if and only if Emma is a knave)) and (if (if Noah is a knight t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"an... | {"split": "train", "index": 14150} |
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, Ethan, Avery, Penelope, and Zoey. Sebastian told you that Avery is a devil and ((Penelope is an angel if and only if Zoey is an angel) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"and\", [\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"lying\", 0], [\"->\", [\"and\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 14151} |
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: Sophia, Zoey, Ava, Lily, and Owen. Sophia said that (it is not the case that (Owen is a saint)) or (if (Lily is a sinner) then (if Lily is a saint th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"lying\", 3]], [\"->\", [\"and\", [\"not\", [\"ly... | {"split": "train", "index": 14152} |
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, Aiden, Matthew, Ethan, and Evelyn. Lucas was heard saying, \"if (Evelyn is a saint or (if Ethan is a saint then Matthew is a sinner)) then ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"and\", [\"l... | {"split": "train", "index": 14153} |
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: Alexander, Oliver, Elizabeth, Logan, and Mia. Alexander asserted: \"(Oliver is a fool) or ((Oliver is a fool or Elizabeth is a sage) or (Elizabeth is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"telling-truth\", 1], [\"telling-truth\", 3], ... | {"split": "train", "index": 14154} |
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, Emily, Noah, Michael, and Zoey. According to Emma, \"((Emma is a saint if and only if Zoey is a saint) if and only if (if Emma is a saint then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lyin... | {"split": "train", "index": 14155} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Chloe, Oliver, Riley, and Emma. Abigail said that if (Riley is a knave) then ((Chloe is a knight if and only if Riley is a knight) and (if O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"<=>\", [... | {"split": "train", "index": 14156} |
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: Liam, Riley, James, Mason, and Sebastian. \"if ((Mason is an egoist) or (James is an egoist or Liam is an altruist)) then (if (James is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"... | {"split": "train", "index": 14157} |
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, Lucas, Isabella, Victoria, and Evelyn. \"Lucas is a fool\" - Logan. Lucas was heard saying, \"it is not the case that (Logan is a fool and (Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"lying\", 1], [\"not\", [\"and\", [\"lying\", 0], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\",... | {"split": "train", "index": 14158} |
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: Jackson, Mia, Aiden, Emma, and Zoey. \"Zoey is a saint\" - Jackson. Mia commented, \"Aiden is a saint\". \"((Jackson is a sinner and Aiden is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"and\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"lying\", 3]], [\"or\", [\"and\", [\"telling-truth\", 0... | {"split": "train", "index": 14159} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Avery, Owen, Chloe, and Matthew. \"((Matthew is a hero and Chloe is a villain) if and only if (Avery is a hero if and only if Owen is a hero))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"l... | {"split": "train", "index": 14160} |
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, Aurora, Lily, Grace, and Alexander. David commented, \"if (if (Alexander is a knave) then (David is a knight if and only if Lily is a knave)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"o... | {"split": "train", "index": 14161} |
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, Joseph, Ethan, Owen, and Abigail. Ella remarked, \"(it is not the case that (if Joseph is a pioneer then Joseph is a laggard)) and (if (O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\... | {"split": "train", "index": 14162} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Luke, Lily, Penelope, Daniel, and Zoey. Luke commented, \"(if (if Luke is a sage then Daniel is a sage) then (Luke is a sage or Penelope is a fool)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"ly... | {"split": "train", "index": 14163} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Victoria, Harper, Oliver, Benjamin, and Mia. In a statement by Victoria: \"(it is not the case that (if Benjamin is a villain then Harper is a hero))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 3]], [\"->\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [... | {"split": "train", "index": 14164} |
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, Jacob, Penelope, Oliver, and Mason. \"Mason is a laggard,\" Owen claimed. Jacob said, \"((if Oliver is a laggard then Oliver is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], ... | {"split": "train", "index": 14165} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Avery, Isabella, Ava, and Samuel. Ethan commented, \"it is not the case that ((if Avery is a hero then Ava is a villain) if and only if (if Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"no... | {"split": "train", "index": 14166} |
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: Penelope, Alexander, Liam, Avery, and Owen. \"Owen is an altruist\" - Penelope. Alexander noted, \"it is not the case that ((Penelope is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]]], [\"telling-truth\", 3], [\"and\", [\"->\", [\"and\", [\"lying\", 0], [\"t... | {"split": "train", "index": 14167} |
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: Michael, Harper, Jacob, Henry, and Riley. As Michael put it, \"(it is not the case that (Harper is a knave and Henry is a knave)) and (Michael is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 2], [\"->\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 4]]],... | {"split": "train", "index": 14168} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Chloe, Olivia, Michael, Penelope, and Oliver. According to Chloe, \"((if Olivia is a sinner then Chloe is a saint) or Oliver is a sinner) and Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 4]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-tru... | {"split": "train", "index": 14169} |
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: Sophia, Henry, Emma, Evelyn, and Daniel. Sophia stated, \"((if Daniel is a sinner then Evelyn is a sinner) and Sophia is a saint) and (if (Emma is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 0]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]... | {"split": "train", "index": 14170} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Matthew, Ella, Jackson, and Charlotte. Luke said, \"it is not the case that ((Charlotte is a knave) or (Matthew is a knight)).\" Matthew remark... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 4]]], [\"not\", [\"and\", [\"and\", [\"lying\",... | {"split": "train", "index": 14171} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Victoria, Evelyn, Ava, and Jacob. \"((if Jacob is a sage then Victoria is a sage) or (Victoria is a sage or Ava is a sage)) if and only if ((if Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth... | {"split": "train", "index": 14172} |
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, Scarlett, Amelia, Liam, and Noah. Benjamin asserted: \"Scarlett is a hero\". In a statement by Scarlett: \"Scarlett is a hero or (Liam is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]]], [\"not\", [\"not\", [\"not\", [\"lying\", 1]]]], [\"->\", [\"<... | {"split": "train", "index": 14173} |
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: Zoey, Chloe, Noah, Alexander, and Scarlett. Zoey was heard saying, \"((Chloe is a hero and Scarlett is a villain) or (Noah is a villain or Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"tel... | {"split": "train", "index": 14174} |
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: Emily, Logan, Michael, Sebastian, and William. \"it is not the case that ((if Emily is an angel then William is an angel) and (Michael is an angel and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\... | {"split": "train", "index": 14175} |
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: Olivia, Avery, Lucas, James, and Lily. Olivia noted, \"it is not the case that (it is not the case that (James is an altruist))\". Avery said, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 3]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"lying\", 2]], [\"telling-truth\", 4], [\"or\", [\"<=>\", [... | {"split": "train", "index": 14176} |
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, Samuel, Liam, Ethan, and William. Matthew was heard saying, \"it is not the case that ((if Samuel is a sage then Ethan is a fool) or Ethan is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]... | {"split": "train", "index": 14177} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Abigail, Emily, Liam, Mason, and Oliver. Abigail remarked, \"Liam is a pioneer if and only if (Oliver is a laggard or (Mason is a laggard or Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"telling-truth\... | {"split": "train", "index": 14178} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Benjamin, William, Emily, and Charlotte. In a statement by Henry: \"Charlotte is a villain\". \"if (Emily is a hero if and only if (William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"lying\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"lying\", 1], [\"or\", [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\... | {"split": "train", "index": 14179} |
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, Evelyn, Jacob, Sofia, and Samuel. Ella said, \"if (if (Jacob is a laggard) then (if Sofia is a pioneer then Jacob is a pioneer)) then ((S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]... | {"split": "train", "index": 14180} |
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, Alexander, Elizabeth, Jack, and Michael. Jackson told you that Jack is an angel or (Elizabeth is an angel and (if Elizabeth is a devil then Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lyi... | {"split": "train", "index": 14181} |
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: Scarlett, Alexander, Avery, Oliver, and Emily. Scarlett expressed that (if (Alexander is a villain if and only if Scarlett is a hero) then (Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 1]]], [\"an... | {"split": "train", "index": 14182} |
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, Amelia, Lucas, Avery, and Jacob. In Sofia's words: \"(Lucas is a fool if and only if Sofia is a sage) or (Jacob is a sage and (Sofia is a sage or Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 14183} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Harper, Aurora, Noah, Lucas, and Lily. Harper expressed that it is not the case that (Lucas is a pioneer and (Aurora is a laggard)). \"((Noah i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"telling-trut... | {"split": "train", "index": 14184} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Owen, Liam, Evelyn, Sebastian, and David. Owen was heard saying, \"it is not the case that (it is not the case that (if Sebastian is a saint then Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\... | {"split": "train", "index": 14185} |
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, Avery, Owen, David, and Joseph. As Samuel put it, \"(it is not the case that (if Joseph is an egoist then David is an egoist)) or ((Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"or\", ... | {"split": "train", "index": 14186} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Riley, Sofia, Mason, Aiden, and Emily. In a statement by Riley: \"Emily is a fool\". Sofia noted, \"Mason is a fool\". Mason said, \"if Sofia is a sage the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"lying\", 4], [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 1]]], [\"->\"... | {"split": "train", "index": 14187} |
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, Abigail, Lucas, Lily, and Riley. In a statement by Michael: \"it is not the case that (Michael is an angel or (Abigail is a devil or Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 3]]... | {"split": "train", "index": 14188} |
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, Aurora, Isabella, Alexander, and Luke. According to Lucas, \"(Aurora is a devil or (Alexander is an angel and Luke is an angel)) or ((Lucas is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 14189} |
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: Noah, Charlotte, Emma, Aurora, and Evelyn. Noah commented, \"(Charlotte is a knave) or (if (if Evelyn is a knight then Noah is a knight) then Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"l... | {"split": "train", "index": 14190} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Evelyn, Ava, Logan, Amelia, and Benjamin. Evelyn noted, \"(it is not the case that (if Benjamin is a hero then Benjamin is a villain)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\",... | {"split": "train", "index": 14191} |
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, Charlotte, Aurora, Joseph, and Luke. Aiden told you that ((Aiden is a pioneer or Aurora is a laggard) if and only if Joseph is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 3]], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"tell... | {"split": "train", "index": 14192} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Aurora, Charlotte, Ethan, and Riley. Oliver stated, \"(Riley is a sage and (Charlotte is a fool or Charlotte is a sage)) if and only if ((Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]... | {"split": "train", "index": 14193} |
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, Ava, Sebastian, Aurora, and Jack. Isabella was heard saying, \"it is not the case that ((Ava is a pioneer or Sebastian is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"and\", [\"telling-truth\", 0], [\"->\", [\"->\", [\"telling-truth\", 0]... | {"split": "train", "index": 14194} |
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, Benjamin, Zoey, Elizabeth, and Noah. James remarked, \"it is not the case that (if (Elizabeth is a sage and James is a sage) then (James is a fool))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\... | {"split": "train", "index": 14195} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Luke, William, Daniel, and Penelope. As Jack put it, \"it is not the case that (it is not the case that (Daniel is a knight))\". Luke noted, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 3]]]], [\"or\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"tell... | {"split": "train", "index": 14196} |
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, Michael, Aiden, Sofia, and Jack. Sebastian remarked, \"(Michael is a pioneer if and only if (Sebastian is a pioneer and Jack is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"->\", [\"<=>\", [\"or\", [... | {"split": "train", "index": 14197} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Emma, Matthew, Sophia, and Scarlett. \"it is not the case that (Sophia is a laggard if and only if Charlotte is a pioneer),\" Charlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 14198} |
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, Henry, Zoey, Ava, and Scarlett. \"Ava is a laggard and Scarlett is a pioneer,\" Luke claimed. Henry said that if ((if Scarlett is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 2... | {"split": "train", "index": 14199} |
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