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 angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Noah, David, Lucas, Liam, and Samuel. In a statement by Noah: \"(David is an angel or Samuel is a devil or (Noah is a devil) or (Liam is an angel)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-t... | {"split": "train", "index": 19300} |
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: William, Oliver, Jack, Olivia, and Aiden. William was heard saying, \"Jack is a sinner\". As Oliver put it, \"if ((Oliver is a saint or Aiden is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"tellin... | {"split": "train", "index": 19301} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Owen, Matthew, Scarlett, and Daniel. Henry was heard saying, \"(Matthew is a hero or (Scarlett is a villain if and only if Matthew is a hero) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3... | {"split": "train", "index": 19302} |
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: Elizabeth, Noah, Zoey, Sofia, and Isabella. In a statement by Elizabeth: \"if ((Noah is a fool if and only if Noah is a sage) or (if Sofia is a fool then I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4]]], [... | {"split": "train", "index": 19303} |
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: Mason, Samuel, Logan, Luke, and Abigail. \"it is not the case that ((Logan is a saint if and only if Abigail is a saint) or (if Logan is a saint then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 4]]]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 19304} |
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: Samuel, Mason, Joseph, Luke, and Ella. Samuel said, \"((Luke is an angel or Ella is a devil or Joseph is an angel or Luke is a devil) and (Ella is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"... | {"split": "train", "index": 19305} |
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, Owen, Amelia, Samuel, and David. As Logan put it, \"Samuel is a sinner or Amelia is a saint or Amelia is a sinner or ((Amelia is a sinner and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 19306} |
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, Michael, Olivia, Benjamin, and Emma. Noah was heard saying, \"Olivia is an altruist\". Michael noted, \"if ((if Michael is an altruist th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-... | {"split": "train", "index": 19307} |
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: Sebastian, Olivia, Charlotte, Riley, and Amelia. As Sebastian put it, \"Charlotte is a sage\". Olivia stated, \"((Sebastian is a fool and Sebastian is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"tell... | {"split": "train", "index": 19308} |
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: Ava, Logan, Emily, Aiden, and Scarlett. Ava remarked, \"((Aiden is a sage) if and only if (Emily is a fool)) and Scarlett is a fool\". Logan commented, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 4]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"... | {"split": "train", "index": 19309} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Henry, Riley, Joseph, and Scarlett. Lily was heard saying, \"it is not the case that (it is not the case that (Riley is an altruist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"and\", [\"lying\", 4], [\"not\", [\"not\", [\"t... | {"split": "train", "index": 19310} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Harper, Lucas, Ethan, Noah, and Samuel. According to Harper, \"(it is not the case that (Ethan is an altruist and Harper is an altruist and Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 19311} |
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: Sofia, Olivia, Elizabeth, Ethan, and Isabella. \"Elizabeth is a laggard,\" Sofia mentioned. Olivia noted, \"((if Sofia is a laggard then Olivia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"lying\", 3], [\"and\", [\"telling-tru... | {"split": "train", "index": 19312} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Grace, Ava, Sebastian, and Jack. Victoria told you that if (if (Jack is an angel if and only if Sebastian is an angel) then (Ava is a devil i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 19313} |
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, Sebastian, Noah, Jack, and Avery. Matthew was heard saying, \"it is not the case that ((Avery is an altruist) or Noah is an egoist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", ... | {"split": "train", "index": 19314} |
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: Sophia, Alexander, Olivia, Daniel, and Jacob. According to Sophia, \"it is not the case that ((Jacob is an altruist or Olivia is an altruist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"not\", [\"->\", ... | {"split": "train", "index": 19315} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Riley, Victoria, Evelyn, Emma, and Daniel. Riley told you that Emma is a pioneer. Victoria noted, \"Emma is a pioneer\". Evelyn expressed that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 3], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"... | {"split": "train", "index": 19316} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Victoria, Michael, Charlotte, and Elizabeth. According to Emily, \"if ((if Elizabeth is a sinner then Michael is a sinner) and Victoria is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [... | {"split": "train", "index": 19317} |
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: Benjamin, Victoria, William, Aurora, and Michael. Benjamin was heard saying, \"((Michael is a devil or Aurora is an angel or Victoria is an angel or Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", ... | {"split": "train", "index": 19318} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, Michael, Ella, Abigail, and Sebastian. \"Michael is a sinner if and only if (it is not the case that (Abigail is a sinner and Evelyn is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"<=>\", [\"lying\", 1], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]]]], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"lying\", 3], [\"l... | {"split": "train", "index": 19319} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Aiden, Mia, Evelyn, and Alexander. Liam said that ((if Aiden is a laggard then Evelyn is a pioneer) if and only if (Mia is a pioneer or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 19320} |
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: Ethan, Michael, Sofia, Aria, and Jack. Ethan stated, \"it is not the case that (if (Jack is an angel if and only if Sofia is a devil) then (if Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 19321} |
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: Ava, Sebastian, Lucas, Henry, and William. According to Ava, \"Lucas is a villain\". In a statement by Sebastian: \"if (it is not the case that (Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", ... | {"split": "train", "index": 19322} |
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, Logan, Victoria, Sebastian, and Jackson. As Jacob put it, \"Victoria is a saint\". As Logan put it, \"it is not the case that (if Jacob is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 0], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"and\", [\"lying\", 1], ... | {"split": "train", "index": 19323} |
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, Jacob, Noah, Michael, and Grace. In Aiden's words: \"(it is not the case that (Michael is an egoist if and only if Jacob is an egoist)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 19324} |
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: Mason, Daniel, Amelia, William, and Joseph. \"((William is a saint if and only if Mason is a saint) or Joseph is a sinner) and (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"lying\", 4]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [... | {"split": "train", "index": 19325} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ava, David, Amelia, Mason, and Owen. In Ava's words: \"(it is not the case that (Mason is a laggard and David is a pioneer and Ava is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]... | {"split": "train", "index": 19326} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Victoria, Scarlett, Mason, Abigail, and Matthew. \"(if (Scarlett is a villain or Matthew is a villain or Abigail is a villain) then (if Matthew is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [... | {"split": "train", "index": 19327} |
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, Ethan, Matthew, Alexander, and Noah. Logan remarked, \"Ethan is a devil\". In a statement by Ethan: \"if ((Alexander is a devil) and (if Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\... | {"split": "train", "index": 19328} |
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: Amelia, Isabella, Aiden, Benjamin, and Abigail. In a statement by Amelia: \"if (if (Isabella is a fool) then (Abigail is a fool if and only if Aiden is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 19329} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Jacob, Avery, Jackson, and Henry. Abigail commented, \"(Avery is a sinner or (Avery is a sinner) or (Jacob is a saint and Avery is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1], ... | {"split": "train", "index": 19330} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Sofia, Joseph, Ethan, and Chloe. Jackson noted, \"Chloe is a fool and ((Chloe is a fool and Ethan is a fool and Ethan is a sage and Jackson is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"lying\", 3], [\"->\", [\"lying\... | {"split": "train", "index": 19331} |
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: Chloe, James, Benjamin, Michael, and Liam. Chloe said that if ((Benjamin is a laggard if and only if Michael is a laggard) if and only if (if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 19332} |
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, Jackson, Liam, William, and Harper. Aurora remarked, \"(it is not the case that (Harper is a pioneer or Jackson is a pioneer or Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-... | {"split": "train", "index": 19333} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Joseph, Logan, Sebastian, and Jack. Elizabeth said, \"it is not the case that ((if Logan is a knave then Sebastian is a knight) and (Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]]... | {"split": "train", "index": 19334} |
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, Noah, Ella, Amelia, and Daniel. Luke told you that if ((Ella is a laggard) and Ella is a laggard and (Ella is a pioneer or Ella is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]... | {"split": "train", "index": 19335} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Noah, Avery, Alexander, Owen, and Lucas. \"if (if (Owen is a sage) then (Lucas is a sage or Alexander is a fool or Lucas is a fool)) then ((Lucas is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1... | {"split": "train", "index": 19336} |
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: Ethan, Aiden, Alexander, Ava, and James. \"Aiden is an angel if and only if (James is an angel if and only if (Ava is an angel and James is a devil)),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"lying\", 3], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [... | {"split": "train", "index": 19337} |
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: Riley, Noah, Michael, Jacob, and Isabella. According to Riley, \"(it is not the case that (Noah is a hero or Riley is a hero or Isabella is a hero or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 19338} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Alexander, Emma, Lily, and Abigail. In a statement by William: \"it is not the case that ((if Alexander is an angel then Alexander is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", ... | {"split": "train", "index": 19339} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jacob, Joseph, Lily, Emily, and Penelope. Jacob stated, \"((Joseph is a pioneer and Joseph is a laggard and Emily is a laggard and Lily is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [... | {"split": "train", "index": 19340} |
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, Sebastian, Ava, Luke, and Harper. In a statement by Lucas: \"((Harper is a knave) or (Sebastian is a knight) or (Sebastian is a knight or Seba... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]... | {"split": "train", "index": 19341} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Matthew, Lily, Grace, and Jacob. Amelia noted, \"if ((Grace is a pioneer and Matthew is a pioneer) if and only if (if Matthew is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 19342} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mason, Matthew, Aurora, Daniel, and Michael. As Mason put it, \"if ((Michael is an angel if and only if Aurora is an angel) if and only if (Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"lying\", 3]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 19343} |
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, Matthew, Emily, Evelyn, and Joseph. Jackson said that if Matthew is an egoist then ((Joseph is an egoist if and only if Jackson is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]]... | {"split": "train", "index": 19344} |
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: Mia, Zoey, Amelia, Michael, and Logan. Mia remarked, \"(it is not the case that (Mia is a fool)) or (Michael is a fool)\". \"(it is not the case that (Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"->\", [\"telling-truth... | {"split": "train", "index": 19345} |
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: Owen, Daniel, Isabella, Logan, and Lily. Owen asserted: \"(Lily is an angel) if and only if ((Daniel is a devil or Lily is an angel) or (Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\... | {"split": "train", "index": 19346} |
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: Sebastian, Owen, Michael, Jack, and Evelyn. Sebastian told you that (it is not the case that (if Jack is an altruist then Owen is an altruist))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"not\", [\"or\", [\"o... | {"split": "train", "index": 19347} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Lily, Zoey, Owen, and Harper. \"it is not the case that ((if Zoey is a knight then Lily is a knave) if and only if (Owen is a knave if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 19348} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Daniel, Noah, Aiden, David, and Ethan. In a statement by Daniel: \"Aiden is a laggard\". Noah commented, \"it is not the case that (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 19349} |
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: Joseph, Olivia, Jack, Mason, and Lily. Joseph remarked, \"it is not the case that ((Mason is a villain or Jack is a villain or Joseph is a hero) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 4]]], [\"lying\", 0], [\"not\",... | {"split": "train", "index": 19350} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Owen, Lucas, Avery, James, and Mia. Owen commented, \"(it is not the case that (James is a sage or Lucas is a fool or Avery is a fool or Avery is a sage)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1]... | {"split": "train", "index": 19351} |
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, Alexander, James, Jackson, and William. Liam expressed that ((Liam is a hero or Alexander is a hero or William is a villain) or (Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-... | {"split": "train", "index": 19352} |
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, Emma, Daniel, David, and Amelia. Charlotte asserted: \"(Daniel is a knight) if and only if (if (David is a knave and Daniel is a knight an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"an... | {"split": "train", "index": 19353} |
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: Sophia, Ava, Chloe, Olivia, and Jack. \"(it is not the case that (Ava is a villain)) if and only if (if (Chloe is a hero) then (Chloe is a hero and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 1]]]], [\"telling-truth\"... | {"split": "train", "index": 19354} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Aurora, Penelope, Alexander, and Ava. Emily expressed that if (if (Aurora is a saint if and only if Emily is a saint) then Penelope is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lyi... | {"split": "train", "index": 19355} |
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, Sofia, Victoria, David, and Amelia. Michael stated, \"(David is a fool and (Michael is a sage and Sofia is a fool and Sofia is a sage and Amelia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling... | {"split": "train", "index": 19356} |
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, Charlotte, James, Alexander, and William. As Liam put it, \"it is not the case that (if (Alexander is a sage and Charlotte is a sage and William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 19357} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Henry, Victoria, James, Mia, and Aiden. Henry expressed that ((James is a sinner) if and only if (if James is a saint then Mia is a sinner)) or ((if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"te... | {"split": "train", "index": 19358} |
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, Lily, Chloe, Mason, and Emma. Logan expressed that it is not the case that (Lily is a sage or (Chloe is a fool if and only if Lily is a sage) or (Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"... | {"split": "train", "index": 19359} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Scarlett, Lucas, Luke, and Mia. Emily expressed that it is not the case that (if (Scarlett is a saint or Emily is a saint or Scarlett is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 19360} |
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: Jacob, Olivia, Penelope, William, and Isabella. Jacob said that William is an angel if and only if ((Penelope is an angel or Isabella is an angel) or P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lyin... | {"split": "train", "index": 19361} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, David, Penelope, Chloe, and Elizabeth. Henry told you that David is a sage. In David's words: \"Chloe is a fool\". Penelope stated, \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"telling-truth\", 1], [\"lying\", 3], [\"not\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 19362} |
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, Matthew, Mason, Aurora, and Michael. According to Ethan, \"((Matthew is a knight) and (if Mason is a knave then Matthew is a knight) and (if M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 4]], [\"or\", [\"and\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 19363} |
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, Matthew, Abigail, Aria, and Alexander. Zoey expressed that (Matthew is an altruist) and ((Aria is an altruist and Abigail is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"... | {"split": "train", "index": 19364} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Lucas, Aurora, Michael, and Noah. In Logan's words: \"Aurora is a sage and ((Michael is a sage or Noah is a sage or Noah is a fool or Lucas is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 19365} |
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: Ella, Jackson, Sebastian, Logan, and Harper. Ella remarked, \"((Logan is a saint and Jackson is a saint) if and only if (Sebastian is a saint)) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1588, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 19366} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Harper, Jackson, Victoria, and James. Penelope asserted: \"Jackson is a villain if and only if (if (Victoria is a villain) then Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1589, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0]]], [\"lying\", 3], [\"->\", [\"or\", [\"telling-truth\", 1], [\"and\", [\"lying\", 0], [\"telling-truth\", 4],... | {"split": "train", "index": 19367} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Abigail, Oliver, James, and Aria. In Mason's words: \"((Aria is a pioneer or James is a pioneer or Oliver is a laggard or Abigail is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1590, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"<... | {"split": "train", "index": 19368} |
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, Matthew, Daniel, Emma, and Zoey. According to Alexander, \"if (if (Zoey is a sage and Emma is a sage) then (Matthew is a sage or Emma is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1591, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"or\", [\"<=>\", [\"lying\", 3], [... | {"split": "train", "index": 19369} |
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, Jacob, Jackson, James, and Evelyn. Penelope commented, \"Jackson is a laggard or James is a laggard\". In a statement by Jacob: \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1592, \"statements\": [[\"or\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], ... | {"split": "train", "index": 19370} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Chloe, Henry, Olivia, William, and Samuel. Chloe remarked, \"(it is not the case that (Samuel is an angel or Chloe is an angel or Olivia is a devil)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1593, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"->\", [\"t... | {"split": "train", "index": 19371} |
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: Ava, Abigail, Sebastian, Alexander, and Sofia. According to Ava, \"it is not the case that ((if Abigail is a fool then Abigail is a sage) if and only if (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1594, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", ... | {"split": "train", "index": 19372} |
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: Joseph, Sebastian, Jacob, Abigail, and Noah. According to Joseph, \"Jacob is a villain or ((Jacob is a hero) or (Noah is a hero if and only if Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1595, \"statements\": [[\"or\", [\"lying\", 2], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 19373} |
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: Matthew, Isabella, Lucas, Owen, and Chloe. \"if ((Isabella is a devil or Matthew is an angel or Chloe is an angel) and Isabella is a devil) then Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1596, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 1]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]... | {"split": "train", "index": 19374} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Emma, Aria, Michael, and Riley. Henry noted, \"(Henry is a pioneer or Emma is a laggard or (Aria is a laggard and Henry is a pioneer and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1597, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"<=>\",... | {"split": "train", "index": 19375} |
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: Benjamin, Charlotte, Mason, Elizabeth, and James. Benjamin stated, \"(if James is an angel then (Benjamin is a devil)) and Charlotte is a devil and (it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1598, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 1]]], [\"<=>\", ... | {"split": "train", "index": 19376} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Samuel, Liam, Ella, and David. According to Aurora, \"Liam is a knight\". Samuel remarked, \"Liam is a knave if and only if (if (if David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1599, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"telling-truth\", 1]... | {"split": "train", "index": 19377} |
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: Riley, Oliver, Scarlett, Aurora, and Henry. Riley remarked, \"if ((Aurora is a knight and Aurora is a knave and Henry is a knave and Scarlett is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1600, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3]]]], [\"... | {"split": "train", "index": 19378} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Henry, Noah, Avery, Riley, and Olivia. Henry stated, \"it is not the case that (it is not the case that (if Noah is an egoist then Noah is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1601, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"not\", [\"not\", [\"lying\", 0]]], [\"lying\", 2], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\"... | {"split": "train", "index": 19379} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Chloe, James, Sofia, and Jack. Charlotte expressed that it is not the case that (if (if Chloe is an altruist then Sofia is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1602, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 19380} |
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: Ethan, Scarlett, Noah, Alexander, and Jackson. Ethan was heard saying, \"(Alexander is an angel) if and only if (if Jackson is an angel then (Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1603, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 19381} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Ella, Abigail, Amelia, and Zoey. In a statement by Daniel: \"((Amelia is a saint or Zoey is a sinner or Abigail is a sinner) or (Ella is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1604, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"not\... | {"split": "train", "index": 19382} |
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, Sofia, Joseph, Ella, and Owen. As Avery put it, \"it is not the case that ((Sofia is a sinner if and only if Avery is a saint) or (Sofia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1605, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"not... | {"split": "train", "index": 19383} |
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: Elizabeth, Aurora, Joseph, Henry, and Mason. \"((Joseph is a hero or Mason is a villain) and (Joseph is a villain) and (Henry is a villain or Mason i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1606, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"... | {"split": "train", "index": 19384} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Sophia, Mason, Samuel, and Ethan. \"if ((Ethan is an angel and Samuel is an angel and Mason is an angel) and (Amelia is a devil) and (Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1607, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"tel... | {"split": "train", "index": 19385} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Logan, Abigail, Grace, and Isabella. In Charlotte's words: \"it is not the case that (it is not the case that (Logan is a laggard or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1608, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]]]], [\"telling-truth\", 2], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"tellin... | {"split": "train", "index": 19386} |
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: Sebastian, Aiden, Abigail, Harper, and Amelia. Sebastian was heard saying, \"(Aiden is a knight if and only if (Abigail is a knight or Harper is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1609, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\... | {"split": "train", "index": 19387} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Owen, Penelope, Amelia, Victoria, and Zoey. Owen asserted: \"((Amelia is a fool or Zoey is a fool or Amelia is a sage or Penelope is a fool) or Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1610, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 2], [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"t... | {"split": "train", "index": 19388} |
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: Penelope, Ava, Oliver, Aiden, and Joseph. As Penelope put it, \"((Aiden is a saint or Ava is a sinner) or Joseph is a saint or (Ava is a sinner) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1611, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\... | {"split": "train", "index": 19389} |
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: Sofia, Victoria, Penelope, Aiden, and Aurora. In a statement by Sofia: \"Aurora is a knave and ((Aiden is a knight and Victoria is a knight) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1612, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"telling-truth\", 2], [\"lying\", 0], [\"or\", [\"->\", [\"not\", [\"... | {"split": "train", "index": 19390} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Emily, Aiden, Abigail, and Lucas. According to Victoria, \"it is not the case that (it is not the case that (Emily is a devil if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1613, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]]], [\"->\", [\"lying\", 4], [\"not\", [\"not\", [\"lying\", 3]]]], [\"->\", [\"lying\", 1], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"<... | {"split": "train", "index": 19391} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Jack, Scarlett, Mason, and Henry. Luke was heard saying, \"(it is not the case that (Luke is a knight or Henry is a knight or Henry is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1614, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telli... | {"split": "train", "index": 19392} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Liam, Benjamin, Jack, and David. Emily said, \"Benjamin is a sinner.\" As Liam put it, \"((Benjamin is a saint) or (if Benjamin is a sinner th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1615, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"not\", [\"or\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 19393} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Jacob, Sophia, Harper, and James. \"if ((Harper is a hero or Harper is a villain or James is a hero) and (Sophia is a hero) and Sophia is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1616, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\"lying\", 2]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"and\", [\"lying\", 0... | {"split": "train", "index": 19394} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: James, Joseph, Samuel, Oliver, and Jacob. James said, \"(if (Samuel is a sinner if and only if Joseph is a sinner) then (if Joseph is a saint then Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1617, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-tr... | {"split": "train", "index": 19395} |
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: Ella, Oliver, Mia, Aiden, and Jackson. Ella remarked, \"((Oliver is a villain) if and only if Ella is a hero) or (if (if Oliver is a villain then Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1618, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 3]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 19396} |
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: Grace, Penelope, Lucas, Scarlett, and Michael. Grace told you that (if (Penelope is a sage or Penelope is a fool) then (Grace is a sage if and only if Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1619, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [... | {"split": "train", "index": 19397} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Avery, Harper, Daniel, and Ella. According to Samuel, \"Daniel is a knave\". According to Avery, \"(if (Avery is a knight and Harper is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1620, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telli... | {"split": "train", "index": 19398} |
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: Charlotte, Joseph, Sebastian, David, and Samuel. Charlotte expressed that (Joseph is a sinner or David is a sinner) if and only if ((Samuel is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1621, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"tell... | {"split": "train", "index": 19399} |
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