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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Joseph, Aiden, Benjamin, Noah, and Samuel. Joseph stated, \"(Benjamin is an egoist or Noah is an altruist) and Aiden is an egoist\". \"Aiden is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4],... | {"split": "train", "index": 7600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Mason, Benjamin, David, and William. Zoey remarked, \"if (Mason is an egoist) then (if Mason is an egoist then David is an altruist)\". I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-tr... | {"split": "train", "index": 7601} |
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, Jacob, Jack, Ava, and Riley. \"(Jack is a fool and Jack is a sage) and (Ava is a fool and Jacob is a fool)\" - Alexander. As Jacob put it, \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"telling-truth\", 0], [\"or\", [\"telling-t... | {"split": "train", "index": 7602} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Liam, Chloe, Sophia, and Aria. Charlotte stated, \"if (Aria is a knave if and only if Sophia is a knave) then (if Chloe is a knave then Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]... | {"split": "train", "index": 7603} |
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, Liam, Ethan, Luke, and Scarlett. Evelyn commented, \"if (if Scarlett is a villain then Ethan is a villain) then (Liam is a villain if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lyin... | {"split": "train", "index": 7604} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Lucas, Charlotte, Olivia, and Abigail. In a statement by Aria: \"if (Charlotte is a pioneer and Charlotte is a laggard) then (Aria is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"te... | {"split": "train", "index": 7605} |
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: Lily, Jacob, Harper, Owen, and Oliver. Lily asserted: \"(if Oliver is a sage then Harper is a fool) or (Harper is a fool if and only if Oliver is a fool)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 2]], [\"lying\", 1], ... | {"split": "train", "index": 7606} |
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, Owen, Evelyn, Benjamin, and James. Lucas told you that (James is a pioneer or Owen is a laggard) or (Benjamin is a pioneer if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 0],... | {"split": "train", "index": 7607} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Chloe, David, Jackson, and James. In Abigail's words: \"Chloe is a devil\". Chloe remarked, \"James is a devil\". David remarked, \"(Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"lying\", 1], [\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 7608} |
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, Lily, Olivia, Amelia, and James. As Scarlett put it, \"if (if Olivia is a hero then Olivia is a villain) then (Amelia is a villain)\". As L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\... | {"split": "train", "index": 7609} |
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: Isabella, Abigail, Michael, Owen, and Sofia. Isabella noted, \"if (Abigail is an egoist or Michael is an egoist) then (Isabella is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 7610} |
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, Lucas, Liam, William, and Aurora. \"(William is an angel or Sebastian is an angel) if and only if (Lucas is a devil and Aurora is a devil)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-trut... | {"split": "train", "index": 7611} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Luke, Jack, Chloe, and Oliver. Zoey noted, \"it is not the case that (Luke is an egoist or Jack is an altruist)\". Luke asserted: \"Jack ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 2], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"<=... | {"split": "train", "index": 7612} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Michael, Luke, Aria, and William. In a statement by Sofia: \"Aria is a sinner\". As Michael put it, \"(Aria is a sinner or Luke is a saint) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\",... | {"split": "train", "index": 7613} |
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, Chloe, Olivia, James, and Harper. Matthew said that (if James is a villain then Matthew is a hero) or (Chloe is a villain or Olivia is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-trut... | {"split": "train", "index": 7614} |
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, Lily, Logan, Jack, and Liam. \"Lily is a sage and (Jack is a fool if and only if Michael is a sage),\" Michael claimed. In a statement by Lily: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 7615} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Elizabeth, Sebastian, Noah, and Sophia. In a statement by Emily: \"it is not the case that (Sophia is a villain and Elizabeth is a hero)\". In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 7616} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Amelia, Ella, Jack, and Emma. William remarked, \"(Emma is a sage if and only if Jack is a fool) if and only if Amelia is a sage\". In a statement... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"telling-trut... | {"split": "train", "index": 7617} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Charlotte, Ella, Joseph, and Lily. \"(Joseph is a villain or Lily is a hero) if and only if (Aurora is a hero or Joseph is a hero),\" Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"and\", [\"<=>... | {"split": "train", "index": 7618} |
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: Joseph, Michael, Emma, Alexander, and Benjamin. In Joseph's words: \"(Alexander is a knave or Michael is a knight) if and only if (Michael is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 0]], [\"<=>\", [\"or\", [\"telling-truth\", 0... | {"split": "train", "index": 7619} |
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, Jacob, Elizabeth, Oliver, and Victoria. Luke noted, \"(Elizabeth is a fool or Victoria is a sage) and (Elizabeth is a fool and Luke is a sage)\". As ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 7620} |
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: Evelyn, Noah, Sebastian, Elizabeth, and James. \"(Noah is a knave if and only if Elizabeth is a knave) or (if Sebastian is a knight then James is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 7621} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Harper, Emily, Jacob, and Amelia. Matthew said that (if Matthew is a saint then Jacob is a saint) or (Amelia is a sinner and Amelia is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"->\", [\"<=>... | {"split": "train", "index": 7622} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Penelope, Benjamin, Aria, and Samuel. \"(Aria is a devil) if and only if (Benjamin is an angel or Aria is a devil)\" - Evelyn. \"(Evelyn is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"an... | {"split": "train", "index": 7623} |
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, Luke, Emma, Aurora, and Benjamin. Matthew commented, \"(if Emma is a villain then Emma is a hero) and (Matthew is a hero if and only if Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>... | {"split": "train", "index": 7624} |
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: Aurora, Harper, Sofia, William, and Matthew. As Aurora put it, \"(Harper is a laggard if and only if Sofia is a laggard) or (Harper is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"not\", [\"lying\", 0]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [... | {"split": "train", "index": 7625} |
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, Joseph, Lucas, Ava, and Luke. \"(Ava is a knight or Joseph is a knight) if and only if (Ava is a knight)\" - Ella. \"it is not the case that (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"->\", [\"not\", [\"... | {"split": "train", "index": 7626} |
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, Scarlett, Ethan, Aiden, and Harper. Mia noted, \"if (Ethan is a hero) then (Aiden is a villain)\". \"(Ethan is a hero) and (Mia is a hero),\" Sc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"lying\", 4], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4]]]... | {"split": "train", "index": 7627} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Harper, Aria, Liam, Amelia, and Olivia. Harper stated, \"it is not the case that (if Aria is a fool then Liam is a sage)\". Aria told you that Olivia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"ly... | {"split": "train", "index": 7628} |
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, Jacob, Charlotte, Ethan, and James. Liam stated, \"it is not the case that (Ethan is a villain if and only if Charlotte is a villain)\". Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 0]... | {"split": "train", "index": 7629} |
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, Mason, Lily, Chloe, and Logan. Noah stated, \"if (Mason is an altruist and Logan is an altruist) then (Mason is an altruist)\". As Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"not\", [\"lying\"... | {"split": "train", "index": 7630} |
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, Jacob, William, Jackson, and Joseph. Alexander stated, \"it is not the case that (if Jacob is a hero then William is a hero)\". \"(William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 4]... | {"split": "train", "index": 7631} |
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, Michael, Jacob, Emma, and Chloe. Evelyn expressed that (Evelyn is a hero and Jacob is a hero) and (Emma is a hero if and only if Evelyn is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"te... | {"split": "train", "index": 7632} |
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, Matthew, Aurora, Aria, and Ava. Zoey told you that (Aria is a knave and Zoey is a knight) if and only if (if Matthew is a knight then Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 7633} |
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, Elizabeth, Michael, Owen, and Samuel. According to Isabella, \"(Michael is a pioneer and Samuel is a pioneer) if and only if (Michael... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 2], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling... | {"split": "train", "index": 7634} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Benjamin, Liam, Ava, Ella, and Daniel. Benjamin noted, \"(Liam is a sinner and Daniel is a sinner) if and only if (Ava is a sinner if and only if Dan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 1], [\"->\", [\"not\", [\"... | {"split": "train", "index": 7635} |
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, Jack, Charlotte, Luke, and Jacob. Scarlett asserted: \"(Charlotte is an angel if and only if Luke is an angel) and (if Luke is an angel then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3],... | {"split": "train", "index": 7636} |
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, Harper, Zoey, Oliver, and Olivia. \"(Noah is a knight or Olivia is a knave) or (Zoey is a knight if and only if Oliver is a knight),\" Noah dec... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"telling-truth\", 0], ... | {"split": "train", "index": 7637} |
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, Olivia, Matthew, William, and Grace. Sofia said, \"if (Matthew is an angel and William is an angel) then (if Matthew is an angel then Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], ... | {"split": "train", "index": 7638} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Samuel, James, Liam, and Oliver. Matthew said, \"(Matthew is a knight and Samuel is a knave) if and only if (Matthew is a knave).\" In Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 7639} |
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: Logan, Chloe, Sebastian, Ava, and Zoey. \"it is not the case that (if Chloe is a saint then Chloe is a sinner),\" Logan mentioned. In Chloe's words: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"... | {"split": "train", "index": 7640} |
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, Jack, Abigail, Matthew, and Liam. Scarlett said, \"Jack is a devil.\" Jack asserted: \"(Matthew is a devil and Abigail is an angel) or (Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4],... | {"split": "train", "index": 7641} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Aria, Isabella, Liam, and Logan. Jacob noted, \"Jacob is a knight\". In a statement by Aria: \"(Liam is a knight and Logan is a knave) or Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 4]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 7642} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Avery, James, Zoey, and Elizabeth. Chloe said that (Zoey is a knight if and only if Elizabeth is a knave) or (James is a knave if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 7643} |
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, Sebastian, Aurora, Evelyn, and Daniel. \"if Daniel is a laggard then (Sebastian is a laggard),\" Oliver declared. Sebastian stated, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"->\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", ... | {"split": "train", "index": 7644} |
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, Owen, Abigail, Matthew, and Sebastian. \"(Matthew is an angel and Abigail is a devil) or (Sebastian is a devil if and only if Jackson is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"n... | {"split": "train", "index": 7645} |
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, Elizabeth, Amelia, Samuel, and Harper. According to Avery, \"(Harper is a sinner or Amelia is a saint) and (Samuel is a sinner)\". \"Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 0... | {"split": "train", "index": 7646} |
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: Isabella, Ava, Samuel, Abigail, and Emily. Isabella expressed that it is not the case that (Samuel is a hero if and only if Emily is a villain). \"Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 1], [\"<=... | {"split": "train", "index": 7647} |
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, Michael, Ella, Ava, and Henry. Grace said that (Michael is a villain and Ella is a hero) if and only if (Ava is a hero or Henry is a hero). Ac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"... | {"split": "train", "index": 7648} |
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, Abigail, Harper, Scarlett, and Penelope. David commented, \"Abigail is a knight\". In a statement by Abigail: \"(if David is a knave then Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 1]], [\"lying\", 4]], [\"not\"... | {"split": "train", "index": 7649} |
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, Evelyn, Noah, Avery, and Ella. Oliver asserted: \"(Ella is an egoist or Avery is an altruist) and Avery is an egoist\". \"Noah is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 3]], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying... | {"split": "train", "index": 7650} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Liam, James, Harper, and William. Oliver expressed that (Liam is a saint or William is a saint) or (Liam is a sinner or Oliver is a saint). \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"... | {"split": "train", "index": 7651} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Lily, Harper, Sofia, and Mason. Ethan told you that (Mason is a knight) or (Mason is a knave and Lily is a knight). Lily noted, \"if (Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 7652} |
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, Aria, Jacob, Ethan, and Chloe. Logan stated, \"it is not the case that (Chloe is a fool and Chloe is a sage)\". Aria expressed that it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-... | {"split": "train", "index": 7653} |
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, Amelia, Elizabeth, Charlotte, and Joseph. Michael remarked, \"(Joseph is a devil or Joseph is an angel) if and only if (Amelia is an angel or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"te... | {"split": "train", "index": 7654} |
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: Logan, Joseph, Emma, Scarlett, and Sebastian. As Logan put it, \"(Emma is a sinner and Joseph is a sinner) and (Scarlett is a sinner)\". According to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"o... | {"split": "train", "index": 7655} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Aria, David, Noah, and William. Sophia was heard saying, \"David is a knight and William is a knave\". Aria told you that (David is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 1], [\"telling... | {"split": "train", "index": 7656} |
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, Elizabeth, Zoey, Avery, and Riley. Chloe stated, \"Elizabeth is an angel if and only if (Avery is an angel if and only if Riley is a devil)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"lying\", 3], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 7657} |
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, Mason, Jack, Sebastian, and Isabella. According to David, \"(Isabella is a laggard and Mason is a laggard) and (Mason is a laggard)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 7658} |
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, Aiden, Joseph, Aria, and Luke. Zoey said, \"it is not the case that (Aria is a hero or Joseph is a villain).\" \"(if Joseph is a hero then Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\... | {"split": "train", "index": 7659} |
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: Alexander, Chloe, Joseph, Isabella, and Ava. Alexander said, \"if (if Joseph is a laggard then Joseph is a pioneer) then (if Isabella is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 2]], [\... | {"split": "train", "index": 7660} |
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, Oliver, Michael, Daniel, and Zoey. Abigail stated, \"(if Zoey is a hero then Oliver is a villain) or Abigail is a hero\". Oliver noted, \"(Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"not\... | {"split": "train", "index": 7661} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Emma, Mason, Liam, and Avery. \"Emma is an egoist,\" David declared. Emma stated, \"(Avery is an egoist) if and only if Avery is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 0... | {"split": "train", "index": 7662} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Chloe, Jacob, Isabella, Ethan, and James. Chloe expressed that if (if James is a villain then Isabella is a villain) then James is a villain. Jacob c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 4]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"not\", [\"ly... | {"split": "train", "index": 7663} |
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, Aria, Owen, Scarlett, and Amelia. Mia remarked, \"if Amelia is a laggard then (Scarlett is a pioneer)\". According to Aria, \"Owen is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"->\", [\"lying\", 4], [\"not\", [\"lying\", 3]]], [\"lying\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 7664} |
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: Sophia, Aria, Elizabeth, Luke, and James. In a statement by Sophia: \"Luke is a sage\". Aria expressed that (if James is a sage then Sophia is a fool) or L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\... | {"split": "train", "index": 7665} |
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, William, Lily, Grace, and Noah. In Samuel's words: \"if (William is a fool and Grace is a sage) then (William is a sage or Noah is a fool)\". Willi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"... | {"split": "train", "index": 7666} |
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: Sophia, Emma, Aria, Benjamin, and William. Sophia said that if (Emma is an angel and Benjamin is an angel) then (William is an angel and Sophia is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"te... | {"split": "train", "index": 7667} |
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, Scarlett, Emma, William, and Oliver. As Isabella put it, \"Oliver is a devil\". \"(Emma is an angel if and only if William is a devil) or (Is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], ... | {"split": "train", "index": 7668} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Ella, Emma, James, and William. Penelope remarked, \"James is a knave if and only if Ella is a knave\". In Ella's words: \"it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"tellin... | {"split": "train", "index": 7669} |
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: Lily, Victoria, William, Noah, and Alexander. Lily asserted: \"it is not the case that (if Victoria is a sinner then Alexander is a saint)\". Victori... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"... | {"split": "train", "index": 7670} |
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: Mason, Daniel, Isabella, Jacob, and Sophia. In Mason's words: \"(Sophia is an altruist if and only if Jacob is an altruist) and (Daniel is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 3]... | {"split": "train", "index": 7671} |
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: Sofia, Emma, Owen, Aria, and Amelia. Sofia said, \"if (Aria is a hero and Aria is a villain) then (Aria is a villain or Emma is a hero).\" Emma state... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\... | {"split": "train", "index": 7672} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Ella, Ava, Aria, and Sofia. \"(Aria is a knight) or (Penelope is a knight or Ella is a knight)\" - Penelope. Ella noted, \"(Ella is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [... | {"split": "train", "index": 7673} |
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, Emily, Harper, Alexander, and Scarlett. In Jack's words: \"(Harper is a laggard if and only if Harper is a pioneer) and (Scarlett is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 7674} |
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, Amelia, Logan, Isabella, and Michael. Riley was heard saying, \"Amelia is a fool\". Amelia noted, \"Logan is a sage\". In Logan's words: \"Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 2]]], \"solution\": [true, false, f... | {"split": "train", "index": 7675} |
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, Abigail, Mia, Sofia, and Ethan. Liam remarked, \"(Mia is a hero if and only if Abigail is a hero) and Abigail is a villain\". Abigail stated, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 1]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]... | {"split": "train", "index": 7676} |
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, Abigail, Grace, Michael, and Jackson. In Noah's words: \"it is not the case that (if Grace is an egoist then Jackson is an altruist)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 3], [\"<=>\", [\"lying\", 0], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-tr... | {"split": "train", "index": 7677} |
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, Alexander, Emily, Evelyn, and Mia. According to Amelia, \"Emily is a sinner and Alexander is a sinner\". Alexander was heard saying, \"(Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"and\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 0], [\"lying\", 0], [\"<=>\", [\"lyi... | {"split": "train", "index": 7678} |
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, Matthew, Aurora, David, and Ava. As Liam put it, \"it is not the case that (David is a sage)\". \"(Liam is a sage or Matthew is a sage) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [... | {"split": "train", "index": 7679} |
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: Jackson, Daniel, Sofia, Aurora, and Sophia. Jackson noted, \"it is not the case that (if Aurora is an altruist then Sophia is an altruist)\". D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\",... | {"split": "train", "index": 7680} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Elizabeth, Liam, Emma, and Sofia. Aiden said, \"(if Liam is an egoist then Emma is an egoist) if and only if Sofia is an egoist.\" Eliza... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 4], [\"and\", [\"not\", [... | {"split": "train", "index": 7681} |
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, Lily, Evelyn, Owen, and Jacob. Logan expressed that (Owen is a devil) if and only if (if Owen is an angel then Jacob is a devil). \"if (Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 7682} |
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, Olivia, Sophia, Lily, and Isabella. Avery noted, \"it is not the case that (Olivia is a knave and Isabella is a knave)\". \"(Olivia is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 0]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\... | {"split": "train", "index": 7683} |
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: Benjamin, Owen, Chloe, Matthew, and Joseph. According to Benjamin, \"(Owen is a fool and Joseph is a sage) and (Owen is a fool or Benjamin is a sage)\". In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telling... | {"split": "train", "index": 7684} |
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, Emily, Victoria, Aiden, and Riley. As Aurora put it, \"(Aiden is a sage) if and only if Aiden is a sage\". Emily said, \"if (Emily is a sage or Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"l... | {"split": "train", "index": 7685} |
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, Riley, Sofia, Scarlett, and Victoria. \"if (Victoria is a pioneer) then (Sofia is a laggard or Luke is a pioneer),\" Luke claimed. Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"o... | {"split": "train", "index": 7686} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mia, Penelope, Aiden, Ella, and Olivia. \"(Penelope is an angel if and only if Mia is an angel) or (Ella is a devil if and only if Aiden is an angel),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], ... | {"split": "train", "index": 7687} |
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: Joseph, Oliver, Mason, Ella, and Ava. Joseph said, \"if (Mason is a sinner and Oliver is a saint) then Mason is a sinner.\" Oliver expressed that Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 2]], [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 7688} |
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: Joseph, Amelia, William, Mia, and Ava. \"it is not the case that (Joseph is a sage or Mia is a fool),\" Joseph mentioned. Amelia said, \"Mia is a sage and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]... | {"split": "train", "index": 7689} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Matthew, Lucas, Avery, William, and Penelope. In a statement by Matthew: \"(Penelope is an egoist and Penelope is an altruist) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1022, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"lying\", 4... | {"split": "train", "index": 7690} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mason, Sebastian, Isabella, Joseph, and Henry. Mason said, \"Isabella is a sage.\" \"if (Joseph is a sage and Mason is a sage) then Mason is a fool,\" Seba... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1023, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 0]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", ... | {"split": "train", "index": 7691} |
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: Avery, Aiden, Noah, Riley, and Victoria. Avery said, \"Riley is an altruist.\" In a statement by Aiden: \"(Noah is an altruist and Noah is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1024, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 1]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]]... | {"split": "train", "index": 7692} |
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, Avery, Penelope, Jacob, and Emily. Alexander asserted: \"Penelope is a sinner\". Avery said that it is not the case that (Jacob is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1025, \"statements\": [[\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [... | {"split": "train", "index": 7693} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Joseph, Riley, Ethan, and Penelope. As Lucas put it, \"Lucas is a knight and (Riley is a knave if and only if Penelope is a knight)\". Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1026, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"... | {"split": "train", "index": 7694} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, Sophia, David, Matthew, and Scarlett. In Jacob's words: \"it is not the case that (Matthew is a saint or David is a sinner)\". Sophia remarked... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1027, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"telling-truth\", 4], [\"lying\", 0], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"telli... | {"split": "train", "index": 7695} |
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: Alexander, Owen, Emily, Harper, and Penelope. Alexander expressed that it is not the case that (Penelope is an altruist). Owen remarked, \"if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1028, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"tellin... | {"split": "train", "index": 7696} |
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, Mia, Aiden, Lucas, and Grace. Penelope told you that Mia is a laggard. According to Mia, \"(Grace is a pioneer if and only if Mia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1029, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"lyin... | {"split": "train", "index": 7697} |
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: Mason, Olivia, Oliver, Zoey, and Benjamin. Mason said, \"Olivia is an altruist.\" \"if (Benjamin is an altruist) then (Oliver is an egoist)\" -... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1030, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"->\",... | {"split": "train", "index": 7698} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Ella, Noah, Sophia, and Sebastian. Matthew expressed that if (if Matthew is a pioneer then Sebastian is a pioneer) then Ella is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1031, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 1]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"->\", [\"... | {"split": "train", "index": 7699} |
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