data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | 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 9 inhabitants: Sebastian, Emma, Riley, Matthew, Owen, Victoria, Scarlett, Aurora, and Liam. Sebastian told you that ((Riley is an egoist if and only if Emma i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [... | {"split": "train", "index": 14000} |
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 9 inhabitants: Samuel, Scarlett, Owen, Oliver, Charlotte, James, Riley, Liam, and Luke. \"Liam is a knight\" - Samuel. \"if (it is not the case that (if Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 6]]]], [\"not\", [\"->\", [\... | {"split": "train", "index": 14001} |
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 9 inhabitants: Evelyn, Jacob, James, Logan, Matthew, Ava, Lucas, Daniel, and Sofia. Evelyn stated, \"(it is not the case that (Logan is a villain if and only if Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 5], [\"lying\", 7]]]], [\"->\", [\"and\", ... | {"split": "train", "index": 14002} |
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 9 inhabitants: Charlotte, Chloe, Mia, Mason, Lucas, Jackson, Aiden, Sofia, and Ella. \"(it is not the case that (Mason is a hero and Ella is a villain)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"lying\", 4]], [\"and\", [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"lying\", 6... | {"split": "train", "index": 14003} |
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 9 inhabitants: Charlotte, Aurora, Aiden, Benjamin, Sophia, Evelyn, Michael, Lily, and Avery. Charlotte remarked, \"(Avery is a devil if and only if (Evelyn is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"or\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]]]... | {"split": "train", "index": 14004} |
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 9 inhabitants: Sofia, Elizabeth, Luke, Emily, Amelia, Olivia, Samuel, Matthew, and Scarlett. Sofia expressed that Matthew is a pioneer if and only if ((Scarle... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\"... | {"split": "train", "index": 14005} |
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 9 inhabitants: Jackson, Logan, Ella, Penelope, Ethan, Ava, Aurora, Aiden, and Jacob. In Jackson's words: \"((if Ethan is a laggard then Jacob is a pioneer) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3]], [\"and\", [\"telling-trut... | {"split": "train", "index": 14006} |
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 9 inhabitants: James, Avery, Jacob, Benjamin, Penelope, Ella, Aiden, Mason, and Lily. James expressed that if ((Ella is a laggard) and (Benjamin is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 7]]], [\"not\", [\"<=>\", [\"and\"... | {"split": "train", "index": 14007} |
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 9 inhabitants: Charlotte, Aria, Liam, Oliver, Avery, Lily, Riley, Owen, and Emma. Charlotte expressed that (Owen is a knave or (Oliver is a knave if and only if Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"and\", [\"or\", [\"lying\", 7], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth... | {"split": "train", "index": 14008} |
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 9 inhabitants: Harper, Charlotte, Noah, Aiden, James, Mason, Joseph, Amelia, and Mia. \"Joseph is an egoist,\" Harper claimed. Charlotte was heard saying, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"lying\", 6], [\"and\", [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 7]]]], [\"and\", [\"or\", ... | {"split": "train", "index": 14009} |
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 9 inhabitants: James, Sophia, Daniel, Harper, Noah, Joseph, Henry, Alexander, and Owen. In James's words: \"(if (Owen is a hero and Alexander is a villain) then (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"tel... | {"split": "train", "index": 14010} |
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 9 inhabitants: Elizabeth, Ella, Benjamin, Daniel, Liam, Abigail, Sebastian, Alexander, and Charlotte. Elizabeth was heard saying, \"(if (Sebastian is a villain or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 5]], [\"telling-truth\", 8]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"<=>\", ... | {"split": "train", "index": 14011} |
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 9 inhabitants: William, Scarlett, Chloe, Joseph, Aiden, Jack, Riley, Benjamin, and Sofia. William told you that if ((Chloe is a knight or Benjamin is a knight) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\"... | {"split": "train", "index": 14012} |
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 9 inhabitants: Grace, Matthew, Elizabeth, Michael, Alexander, Zoey, Aurora, James, and Emma. According to Grace, \"if (if (if Alexander is a knave then Matthew is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"... | {"split": "train", "index": 14013} |
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 9 inhabitants: Lucas, Aiden, Mason, Alexander, David, Penelope, Isabella, Mia, and Harper. Lucas was heard saying, \"if ((Harper is a villain and Alexander is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3]]]], [\"telling-truth\"... | {"split": "train", "index": 14014} |
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 9 inhabitants: Samuel, Emily, Jack, Michael, Ella, Emma, Owen, Logan, and Sebastian. Samuel was heard saying, \"(if Owen is a pioneer then (Logan is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"and\", [\"lying\", 7], [\"lying\", 5]]], [\"lying\", 2]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 6]], [\"and\", [\"and\", ... | {"split": "train", "index": 14015} |
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 9 inhabitants: Mia, Riley, Chloe, Isabella, Elizabeth, Charlotte, Victoria, Aurora, and Matthew. Mia asserted: \"if ((Chloe is an angel if and only if Elizabeth is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 8], [\"lying\", 6]]], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]]]], [\"and\", [\"telling... | {"split": "train", "index": 14016} |
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 9 inhabitants: Ethan, Michael, Lily, Owen, Charlotte, Liam, Luke, Sophia, and Evelyn. Ethan asserted: \"Charlotte is a pioneer\". In a statement by Michael: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"lying\", 6]], [\"->\", [\"and\", [\"or\", [\"lying\", ... | {"split": "train", "index": 14017} |
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 9 inhabitants: Lily, Ava, Jackson, Michael, David, Amelia, William, Luke, and Emma. Lily was heard saying, \"((William is a sage if and only if Ava is a sage) and (Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 6], [\"lying\", 3]]]], [\"<=>\", [\"and\", ... | {"split": "train", "index": 14018} |
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 9 inhabitants: Michael, David, Joseph, Avery, Aria, Matthew, Zoey, Harper, and Evelyn. \"(it is not the case that (David is a villain and David is a hero)) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"not\", [\"not\", [\"and... | {"split": "train", "index": 14019} |
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 9 inhabitants: Charlotte, Penelope, Evelyn, Olivia, Jackson, David, James, William, and Aurora. Charlotte commented, \"it is not the case that (if (if Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 2]]]], [\"telling-truth\", 8], [\"not\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 14020} |
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 9 inhabitants: Evelyn, Oliver, Luke, Joseph, Ella, Henry, Grace, Emma, and Sophia. Evelyn said that Henry is a hero. Oliver asserted: \"(it is not the case that (Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 14021} |
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 9 inhabitants: Lucas, Victoria, Zoey, Riley, Michael, Grace, Jack, Elizabeth, and Sebastian. \"((Riley is a fool) or (Sebastian is a sage)) or ((Jack is a fool) and (if S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]]]], [\"not\", [\"->\",... | {"split": "train", "index": 14022} |
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 9 inhabitants: James, Ava, Ethan, Zoey, Scarlett, Daniel, Owen, Alexander, and Evelyn. James commented, \"if (Zoey is a knave if and only if (Alexander is a knave i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"not\", [\"ly... | {"split": "train", "index": 14023} |
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 9 inhabitants: Charlotte, Isabella, Joseph, Elizabeth, Emily, Jacob, Olivia, Scarlett, and Ethan. \"(if (if Elizabeth is a laggard then Joseph is a pioneer) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]]], [\"and\", [\"->\", [\... | {"split": "train", "index": 14024} |
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 9 inhabitants: Joseph, Ava, Ethan, Lily, Sebastian, Isabella, Scarlett, Sophia, and Elizabeth. Joseph expressed that Sebastian is a sage. Ava noted, \"((Lily is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth... | {"split": "train", "index": 14025} |
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 9 inhabitants: Scarlett, Olivia, Emma, Liam, Riley, Joseph, James, Isabella, and Daniel. \"it is not the case that (if (Liam is a knave if and only if Olivia is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"telling... | {"split": "train", "index": 14026} |
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 9 inhabitants: Logan, Charlotte, Riley, Liam, Avery, Penelope, Elizabeth, Matthew, and Olivia. Logan remarked, \"Charlotte is a laggard\". Charlotte remarked,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 8], [\"lying\", 6]]],... | {"split": "train", "index": 14027} |
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 9 inhabitants: Matthew, Jacob, Sofia, Daniel, Lily, Oliver, Benjamin, Avery, and Henry. In a statement by Matthew: \"(if (Oliver is an angel and Sofia is a devil) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 5], [\"telling-tr... | {"split": "train", "index": 14028} |
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 9 inhabitants: Sophia, Victoria, Joseph, Riley, Grace, Harper, William, Luke, and Elizabeth. In a statement by Sophia: \"((Sophia is a pioneer if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]], [\"and\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"not\", [\"lying\", 1]]], [\"lying\", 0], [\"->\", [\"or\", [\"and\", [\"lying\"... | {"split": "train", "index": 14029} |
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 9 inhabitants: Isabella, Michael, Penelope, Ella, Joseph, Samuel, Aria, Ethan, and Aurora. Isabella said that ((Ethan is an altruist if and only if Samuel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 1], [\"not\", [\"lying\", 6]]]], [\"->\", [\"->\", [\"or\", [\"tell... | {"split": "train", "index": 14030} |
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 9 inhabitants: Olivia, Ethan, James, Aria, Mason, Daniel, Mia, Grace, and Henry. According to Olivia, \"(Aria is a devil or (Aria is an angel and Mason is a devil)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]]]], [\"lying\", 4], [\"lying\", 4], [\"->\", [\"<=... | {"split": "train", "index": 14031} |
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 9 inhabitants: Luke, Jack, Elizabeth, Benjamin, Ethan, David, Logan, Abigail, and Sofia. Luke said, \"(Benjamin is a fool) and ((Abigail is a sage if and only if Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]]], [\"not\", [\"<=>\", [\"not\", [\"lying... | {"split": "train", "index": 14032} |
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 9 inhabitants: Ella, Aurora, Olivia, Benjamin, Abigail, Logan, Riley, Scarlett, and Michael. Ella said that Riley is a fool. Aurora commented, \"if (if (if Riley is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"lying\", 6], [\"->\", [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"or\", [\"lying\", 8], [\... | {"split": "train", "index": 14033} |
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 9 inhabitants: Sebastian, Jack, William, Charlotte, Jackson, Samuel, Lucas, Chloe, and Daniel. In Sebastian's words: \"if (if (Sebastian is a pioneer if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 14034} |
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 9 inhabitants: Elizabeth, Oliver, Benjamin, Olivia, Emily, Henry, Aurora, James, and Ella. \"Ella is a laggard,\" Elizabeth claimed. \"if (it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"lying\", 8], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"tellin... | {"split": "train", "index": 14035} |
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 9 inhabitants: Harper, Henry, Ella, Ava, Alexander, Matthew, Owen, Jacob, and Charlotte. Harper commented, \"Ella is a villain\". \"Ella is a hero,\" Henry claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"lying\", 2], [\"telling-truth\", 2], [\"->\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]],... | {"split": "train", "index": 14036} |
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 9 inhabitants: Owen, Joseph, Benjamin, Riley, Henry, Liam, Aria, Luke, and Oliver. Owen was heard saying, \"((if Aria is a saint then Luke is a sinner) or (Joseph i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 2], [\"tell... | {"split": "train", "index": 14037} |
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 9 inhabitants: Abigail, Scarlett, Mason, James, Isabella, Benjamin, Mia, Zoey, and Jackson. Abigail said, \"James is a sinner.\" Scarlett was heard saying, \"(if (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"telling-truth\", 7]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 6],... | {"split": "train", "index": 14038} |
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 9 inhabitants: Benjamin, Isabella, Harper, Joseph, James, Oliver, Liam, Emma, and Daniel. Benjamin asserted: \"Liam is a devil\". Isabella stated, \"if ((Isabella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"lying\", 6], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 14039} |
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 9 inhabitants: Emma, Michael, Daniel, Lily, Samuel, James, Oliver, Grace, and William. Emma asserted: \"Oliver is a villain\". Michael asserted: \"Samuel is a hero\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 4], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 14040} |
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 9 inhabitants: Daniel, Mason, Riley, Luke, Logan, Abigail, Samuel, Henry, and Sofia. According to Daniel, \"if (if (Sofia is a sage or Henry is a fool) then Sofia is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]], [\"telling-truth\", 8]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6]], [\"<=>\", [\"lying\", 8], [\"lying\", 1]]]], [\"and... | {"split": "train", "index": 14041} |
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 9 inhabitants: Penelope, Abigail, Jack, Aiden, Oliver, Olivia, Joseph, Sofia, and Logan. Penelope asserted: \"it is not the case that ((Abigail is a knight and Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"->\", [\"lying\", 7], [\"t... | {"split": "train", "index": 14042} |
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 9 inhabitants: Ella, Samuel, Victoria, Lucas, Amelia, William, Logan, Sophia, and Benjamin. In Ella's words: \"if ((Lucas is a sinner and Lucas is a saint) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]]... | {"split": "train", "index": 14043} |
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 9 inhabitants: Zoey, Henry, Lily, Scarlett, James, Penelope, Chloe, Emma, and Jack. In Zoey's words: \"((if Lily is a saint then Lily is a sinner) and (Chloe is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6]], [\"->\", [\"lying\", 4... | {"split": "train", "index": 14044} |
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 9 inhabitants: Mason, Lily, Grace, Amelia, Sofia, Emma, David, Daniel, and William. \"Amelia is a devil,\" Mason declared. As Lily put it, \"((David is an angel) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"and\", [\"t... | {"split": "train", "index": 14045} |
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 9 inhabitants: Lucas, Penelope, David, Grace, Jacob, Olivia, Harper, Evelyn, and Jackson. \"David is an angel,\" Lucas claimed. Penelope said, \"Olivia is an angel if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 6]]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\... | {"split": "train", "index": 14046} |
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 9 inhabitants: Chloe, Ethan, Aria, Ava, James, Daniel, Zoey, Emma, and Harper. According to Chloe, \"Zoey is a laggard and ((if Daniel is a pioneer then Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"and\", [\"lying\", 6], [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 6], [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"telling-tr... | {"split": "train", "index": 14047} |
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 9 inhabitants: Joseph, Aurora, Scarlett, Michael, Elizabeth, Charlotte, Riley, Chloe, and Isabella. \"(if (Elizabeth is an altruist or Chloe is an altruist) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 8]], [\"<=>\", [\"lying\", 3]... | {"split": "train", "index": 14048} |
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 9 inhabitants: Sophia, Chloe, Joseph, Ella, Ava, Elizabeth, Liam, Henry, and Scarlett. \"((Elizabeth is a knight) or (Ella is a knave or Henry is a knight)) or ((if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"lying\", 8]]]], [\"<=... | {"split": "train", "index": 14049} |
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 9 inhabitants: Aria, Sebastian, Harper, Penelope, Owen, Jackson, Jack, Mason, and Isabella. \"((if Owen is a hero then Mason is a villain) or (Aria is a hero or Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"telling-truth\", 7]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"and\... | {"split": "train", "index": 14050} |
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 9 inhabitants: Noah, Mia, Ava, Amelia, Chloe, Luke, Joseph, Jacob, and Logan. \"((Chloe is an altruist) and Chloe is an altruist) or ((Joseph is an altruist a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"lying\", 3], [\"... | {"split": "train", "index": 14051} |
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 9 inhabitants: Emily, Olivia, Penelope, Aiden, Lucas, Chloe, Abigail, Aurora, and Lily. Emily stated, \"Lily is a villain\". \"((Emily is a villain) or (Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"lying\", 8], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 6]]], [\"lying\", 4]], [\"telling-truth\", 6], [\"telling-truth\", 0], [\"or\", [\"->\", [\"and\... | {"split": "train", "index": 14052} |
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 9 inhabitants: David, Aria, Grace, Samuel, Charlotte, Joseph, Aiden, William, and James. David said, \"(it is not the case that (if Aria is a devil then Aiden is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"lying\", 4], [\"lying\", 5]]]], [\"telling-truth\", 7], [\"->\", [\"<=>\", [... | {"split": "train", "index": 14053} |
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 9 inhabitants: Sofia, Olivia, Grace, Mason, Riley, Mia, Isabella, Emma, and Sophia. In Sofia's words: \"((if Sophia is an altruist then Mason is an egoist) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]]]], [\"telling-truth\", 8], [\"->\", [\... | {"split": "train", "index": 14054} |
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 9 inhabitants: Liam, Sofia, Ava, Zoey, Aiden, David, Emma, Elizabeth, and Aurora. Liam said that ((Aiden is a sage) and (if Emma is a fool then Zoey is a fool)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"telling-truth\", 7]]]], ... | {"split": "train", "index": 14055} |
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 9 inhabitants: Sophia, Mia, Ella, Michael, Elizabeth, Scarlett, Owen, Sebastian, and Emma. According to Sophia, \"((Emma is a knave if and only if Owen is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"and\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 7]]]], [\... | {"split": "train", "index": 14056} |
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 9 inhabitants: Aiden, Harper, Penelope, Aurora, Daniel, Emily, Chloe, Michael, and Liam. Aiden remarked, \"Emily is a devil if and only if (if (Daniel is an angel and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"<=>\", [\"lying\", 5], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"te... | {"split": "train", "index": 14057} |
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 9 inhabitants: William, Alexander, Riley, James, Oliver, Aurora, Charlotte, Amelia, and Daniel. William noted, \"(if James is an altruist then (Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7]]]],... | {"split": "train", "index": 14058} |
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 9 inhabitants: Amelia, Isabella, Ella, Jacob, Charlotte, Samuel, Aurora, Elizabeth, and Grace. \"Elizabeth is a fool,\" Amelia mentioned. Isabella was heard saying, \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"lying\", 7], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 4]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 4]], ... | {"split": "train", "index": 14059} |
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 9 inhabitants: Chloe, Mia, Oliver, Luke, Sofia, Riley, Olivia, Scarlett, and Avery. Chloe told you that Oliver is a knight. Mia was heard saying, \"if ((Mia is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"and\"... | {"split": "train", "index": 14060} |
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 9 inhabitants: Victoria, Charlotte, Scarlett, Sebastian, Jackson, William, James, Mia, and Aurora. Victoria asserted: \"(it is not the case that (if William is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"telling-truth\", 5], [\"<=>\", [\"->\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"tel... | {"split": "train", "index": 14061} |
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 9 inhabitants: Aurora, Sophia, Daniel, Mason, Henry, Victoria, Emma, Samuel, and Ava. According to Aurora, \"it is not the case that ((Sophia is a saint or Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"->\... | {"split": "train", "index": 14062} |
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 9 inhabitants: Noah, Zoey, Amelia, Liam, Sebastian, Samuel, Scarlett, James, and Aurora. \"Aurora is a saint,\" Noah mentioned. Zoey was heard saying, \"(if (Zoey i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"not\", [\"lying\", 8]], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"a... | {"split": "train", "index": 14063} |
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 9 inhabitants: Liam, Matthew, Jacob, Lucas, Sebastian, Emma, Jack, Mia, and Evelyn. Liam asserted: \"Emma is a laggard\". Matthew stated, \"if (Jack is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"lying\", 5], [\"->\", [\"and\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"->\", [\"lying\", 2], [\"lying... | {"split": "train", "index": 14064} |
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 9 inhabitants: William, Matthew, Amelia, Harper, Evelyn, Logan, Jackson, Elizabeth, and Lily. William was heard saying, \"it is not the case that ((Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"or\", [\"tellin... | {"split": "train", "index": 14065} |
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 9 inhabitants: Alexander, Oliver, Joseph, Amelia, Jack, David, Victoria, Jacob, and Ava. \"Jack is an angel,\" Alexander declared. Oliver asserted: \"((David is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 6]], [\"not\", [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 7]], [\"->\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 14066} |
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 9 inhabitants: Alexander, Logan, Amelia, Benjamin, Noah, Jackson, Matthew, Aria, and William. In Alexander's words: \"(if (if Benjamin is an altruist then Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-tru... | {"split": "train", "index": 14067} |
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 9 inhabitants: Zoey, Harper, Sophia, Emily, Jack, William, Ethan, Jacob, and Grace. Zoey told you that ((William is a saint if and only if Jacob is a sinner) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]], [\"or\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 14068} |
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 9 inhabitants: Samuel, Abigail, Grace, Joseph, Riley, Mason, Ethan, Victoria, and Zoey. \"(it is not the case that (Ethan is a knave or Joseph is a knave)) and ((Et... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\"lying\",... | {"split": "train", "index": 14069} |
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 9 inhabitants: Sebastian, Noah, Joseph, Scarlett, Ella, Charlotte, Aria, Chloe, and Penelope. Sebastian commented, \"((Charlotte is a knight) or (Charlotte is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [... | {"split": "train", "index": 14070} |
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 9 inhabitants: Michael, Ella, Charlotte, Owen, Joseph, Liam, Avery, Mason, and Scarlett. Michael commented, \"Ella is an altruist or (if (Liam is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 4], [\"lying\", 8]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lyi... | {"split": "train", "index": 14071} |
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 9 inhabitants: Jackson, Riley, Avery, Joseph, David, Ethan, Evelyn, Sebastian, and Chloe. Jackson said, \"((Joseph is a knight if and only if Riley is a knave) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 14072} |
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 9 inhabitants: Samuel, Henry, Aiden, Scarlett, Lily, Sofia, Noah, William, and Emma. \"it is not the case that ((Lily is an egoist) and (Emma is an egoist)),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 8]]]], [\"lying\", 2], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 5]]]]... | {"split": "train", "index": 14073} |
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 9 inhabitants: Ava, Owen, Noah, Emily, Zoey, Grace, Amelia, Aiden, and Mia. Ava noted, \"(it is not the case that (Noah is a sinner and Grace is a saint)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]]]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\"... | {"split": "train", "index": 14074} |
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 9 inhabitants: Michael, Harper, Penelope, Riley, Emma, Luke, Aurora, Benjamin, and Jacob. \"((Riley is a laggard or Aurora is a laggard) or (if Riley is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7]]]], [\"and\", [\"and\", [\"... | {"split": "train", "index": 14075} |
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 9 inhabitants: William, Emma, Isabella, Penelope, Oliver, Lucas, Samuel, Owen, and Lily. William said that ((if Emma is an altruist then Samuel is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\"telling-truth\", 7]], [\"lying\", 5]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"not\", [\"l... | {"split": "train", "index": 14076} |
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 9 inhabitants: Ethan, James, Avery, William, Amelia, Harper, Sophia, Grace, and Riley. In a statement by Ethan: \"it is not the case that ((James is a villain and W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 0]], [\"and\", [\"lying\"... | {"split": "train", "index": 14077} |
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 9 inhabitants: Noah, Chloe, Ella, Ava, Amelia, Victoria, Mia, Abigail, and Harper. In a statement by Noah: \"((Victoria is a devil and Victoria is an angel) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 7]]]], [\"->\", [\"or\", [\"or\", ... | {"split": "train", "index": 14078} |
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 9 inhabitants: Elizabeth, Matthew, Owen, Noah, Liam, Riley, Alexander, Logan, and Aurora. Elizabeth said that Liam is a fool. As Matthew put it, \"Aurora is a fool\". Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 6], [\"not\", [\"not\", [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"->\", [\"lying\", 1], [\"te... | {"split": "train", "index": 14079} |
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 9 inhabitants: William, Chloe, Michael, Luke, Alexander, Noah, Logan, Owen, and James. William was heard saying, \"it is not the case that ((if Chloe is a devil then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\... | {"split": "train", "index": 14080} |
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 9 inhabitants: Emily, Amelia, Noah, Olivia, Samuel, Grace, Sophia, Aurora, and David. In a statement by Emily: \"Noah is a devil\". In a statement by Amelia: \"David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"lying\", 2], [\"lying\", 8], [\"not\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]]]], [\"telling-truth\", 2], [\"and\", [\"->\... | {"split": "train", "index": 14081} |
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 9 inhabitants: Elizabeth, Henry, Abigail, Scarlett, Penelope, Michael, Jack, Amelia, and Isabella. \"((Elizabeth is a pioneer or Abigail is a pioneer) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"lying\", 5], [\"->\", [\"not\", [\"tell... | {"split": "train", "index": 14082} |
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 9 inhabitants: Charlotte, Daniel, Chloe, Benjamin, Isabella, Mia, Lily, James, and Evelyn. According to Charlotte, \"((Daniel is a fool if and only if Benjamin is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"or\", [\"lying\", 1], [\"not\", [\"lying\", 5]]]], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 14083} |
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 9 inhabitants: Abigail, William, Victoria, Ella, Sophia, Riley, Samuel, Luke, and Mia. \"Mia is an angel,\" Abigail claimed. As William put it, \"if Riley is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"telling-truth\", 5], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 1]]]], [\"telling-truth\", 6], [\"and\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 0]]... | {"split": "train", "index": 14084} |
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 9 inhabitants: Avery, Ethan, Abigail, Ava, Mason, Aria, Oliver, Logan, and Aurora. Avery asserted: \"it is not the case that ((Avery is a saint and Oliver is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6]], [\"not\", [\"lying\", 5]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\... | {"split": "train", "index": 14085} |
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 9 inhabitants: Michael, Henry, Scarlett, Sebastian, Matthew, Daniel, Aiden, Noah, and Jackson. In Michael's words: \"it is not the case that (Matthew is a saint or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"not\", [\"lying\", 5]]]], [\"and\", [\"telling-truth\", 5], [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 2]]]], [\"not\", [\"or\", [\"<=>\", [\"tell... | {"split": "train", "index": 14086} |
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 9 inhabitants: Jack, Isabella, Jackson, Penelope, Amelia, James, Noah, Harper, and Lily. \"(if (Amelia is a devil if and only if Amelia is an angel) then (Jack is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]]]], [\"not\", [\... | {"split": "train", "index": 14087} |
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 9 inhabitants: Aurora, Michael, Amelia, William, Lucas, Sebastian, Ava, Matthew, and Aria. Aurora remarked, \"Sebastian is a laggard if and only if ((Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"<=>\", [\"lying\", 5], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-t... | {"split": "train", "index": 14088} |
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 9 inhabitants: Abigail, Samuel, Mia, Noah, Zoey, Emma, Mason, Benjamin, and Victoria. Abigail told you that Noah is a sage if and only if (it is not the case that (Emma i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"telling-truth\", 8], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"te... | {"split": "train", "index": 14089} |
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 9 inhabitants: Evelyn, Jacob, Aria, Jack, Sofia, Matthew, Harper, Penelope, and Logan. In Evelyn's words: \"Jacob is a hero\". Jacob said that if (Penelope is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"not\", [\"lying\", 1]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"and\", [\"lying\", 3], [\"l... | {"split": "train", "index": 14090} |
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 9 inhabitants: Ava, Joseph, Ethan, David, Samuel, Aurora, Chloe, Lily, and Mason. According to Ava, \"David is a hero\". \"((Chloe is a hero) or (if Aurora is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"and\", [\"lyin... | {"split": "train", "index": 14091} |
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 9 inhabitants: Joseph, Sofia, Jacob, Alexander, Sebastian, James, Liam, Oliver, and Amelia. Joseph asserted: \"if ((Oliver is a hero if and only if Alexander is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 14092} |
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 9 inhabitants: Benjamin, Charlotte, Alexander, Aurora, Amelia, James, Samuel, Riley, and Logan. \"((James is a laggard if and only if Aurora is a laggard) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\",... | {"split": "train", "index": 14093} |
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 9 inhabitants: Ava, Emily, Elizabeth, Mason, Charlotte, Amelia, Scarlett, Lucas, and Grace. Ava stated, \"Lucas is a fool and Grace is a sage\". According to Emily, \"Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"and\", [\"lying\", 7], [\"telling-truth\", 8]], [\"telling-truth\", 2], [\"or\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\",... | {"split": "train", "index": 14094} |
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 9 inhabitants: William, Liam, Jackson, Chloe, Zoey, Benjamin, Lily, Matthew, and Michael. \"Chloe is a laggard,\" William claimed. Liam asserted: \"(it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"not\", [\"telling... | {"split": "train", "index": 14095} |
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 9 inhabitants: Matthew, Liam, Noah, Luke, Elizabeth, Lucas, Ethan, David, and Lily. Matthew told you that (Luke is a hero if and only if (if Lily is a villain then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"telling-truth\", 1]], [\"lying\", 2], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 8]],... | {"split": "train", "index": 14096} |
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 9 inhabitants: Jack, Emma, David, Charlotte, Olivia, Chloe, Isabella, Joseph, and Scarlett. Jack told you that if ((Olivia is a pioneer and Chloe is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 0]... | {"split": "train", "index": 14097} |
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 9 inhabitants: Zoey, Emma, Owen, Avery, Olivia, David, Logan, Alexander, and Victoria. In Zoey's words: \"Owen is a devil\". \"David is a devil,\" Emma mentioned. Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"lying\", 2], [\"lying\", 5], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 7], [\"lying\", 7]]]], [\"not\", [\"not... | {"split": "train", "index": 14098} |
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 9 inhabitants: Victoria, Owen, Sophia, Abigail, Alexander, Evelyn, Emily, Benjamin, and Chloe. As Victoria put it, \"((Evelyn is a knight or Evelyn is a knave) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5]], [\"->\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\... | {"split": "train", "index": 14099} |
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