data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lucas, David, Jackson, Daniel, and Olivia. \"if (it is not the case that (David is an altruist or Daniel is an egoist or Olivia is an egoist)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1622, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"or\", [\"n... | {"split": "train", "index": 19400} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Elizabeth, Mia, Jackson, and Aria. In Zoey's words: \"if (Aria is a sage) then (Mia is a fool and Jackson is a sage and (Jackson is a sage if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1623, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"<=>... | {"split": "train", "index": 19401} |
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: Aiden, Ethan, Sebastian, Henry, and Scarlett. In a statement by Aiden: \"Aiden is an angel\". Ethan stated, \"Aiden is a devil\". Sebastian was heard s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1624, \"statements\": [[\"telling-truth\", 0], [\"lying\", 0], [\"or\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\",... | {"split": "train", "index": 19402} |
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: Ella, Lucas, Jackson, Liam, and Benjamin. \"Liam is a sage if and only if (if (Jackson is a fool or Benjamin is a fool or Jackson is a sage) then (Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1625, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"and\", [\"telling-tr... | {"split": "train", "index": 19403} |
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: Ella, Sebastian, David, Mia, and Charlotte. Ella asserted: \"((David is an altruist) if and only if Mia is an altruist) and (it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1626, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 4]]]], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 19404} |
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, Chloe, Mia, Harper, and Jack. Victoria stated, \"((Jack is a villain or Victoria is a hero or Harper is a hero or Mia is a hero) and (if Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1627, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"lying\... | {"split": "train", "index": 19405} |
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: Michael, Joseph, Sebastian, Isabella, and Alexander. Michael stated, \"Isabella is a saint\". Joseph said that Isabella is a saint or (if (Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1628, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-tru... | {"split": "train", "index": 19406} |
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: Samuel, Aiden, Elizabeth, Mia, and Harper. \"Aiden is a hero\" - Samuel. As Aiden put it, \"(it is not the case that (Harper is a villain)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1629, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lying\",... | {"split": "train", "index": 19407} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Noah, Riley, Ethan, and Amelia. \"(it is not the case that (Noah is a saint or Ethan is a saint or Amelia is a sinner)) if and only if ((Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1630, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 19408} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jackson, Chloe, Ava, Emily, and Matthew. In Jackson's words: \"Emily is a devil or (it is not the case that (if Matthew is a devil then Chloe is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1631, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 2]], [\"or\", [\"lying\", 0], [\"or\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"lying\", 0], ... | {"split": "train", "index": 19409} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Mason, Victoria, Matthew, and Harper. \"(if (Matthew is an egoist if and only if Matthew is an altruist) then (Emma is an altruist or Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1632, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 19410} |
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: Olivia, Mia, Noah, William, and Owen. Olivia told you that Owen is a devil. \"((William is an angel or William is a devil) and (Olivia is an angel and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1633, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 1]... | {"split": "train", "index": 19411} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Penelope, Jacob, Benjamin, and Ethan. Sebastian stated, \"(it is not the case that (Ethan is a devil or Penelope is an angel)) and (Jacob is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1634, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [... | {"split": "train", "index": 19412} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Joseph, Ella, Sophia, and Zoey. Ethan commented, \"it is not the case that (Zoey is a saint if and only if (Joseph is a sinner and Joseph is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1635, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"and\", [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 19413} |
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, Jackson, Abigail, David, and Zoey. \"((David is a fool and Jackson is a sage and Zoey is a sage and Abigail is a sage) and Abigail is a fool and Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1636, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 2], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"and\"... | {"split": "train", "index": 19414} |
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: Daniel, Olivia, Henry, Charlotte, and Zoey. Daniel told you that (if (Henry is a knave if and only if Zoey is a knave) then (Henry is a knave or Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1637, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-t... | {"split": "train", "index": 19415} |
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: Aiden, Jacob, Victoria, Emily, and Aria. Aiden noted, \"Aria is an angel\". Jacob expressed that ((Emily is an angel and Jacob is an angel and Aria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1638, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 19416} |
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: Liam, Ella, David, William, and Jacob. Liam commented, \"if (if (Ella is a devil if and only if William is an angel) then (if William is a devil then W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1639, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4],... | {"split": "train", "index": 19417} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Joseph, Jackson, Abigail, and Victoria. Noah said, \"Abigail is a hero.\" Joseph asserted: \"(if (Joseph is a hero and Victoria is a villain an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1640, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-... | {"split": "train", "index": 19418} |
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, Abigail, Elizabeth, Mia, and David. As Matthew put it, \"if Mia is an egoist then David is an egoist\". Abigail said that Matthew is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1641, \"statements\": [[\"->\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 0], [\"or\", [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\... | {"split": "train", "index": 19419} |
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, Jacob, Sophia, Alexander, and Evelyn. Sofia asserted: \"(if (Sophia is a knave or Jacob is a knight or Sophia is a knight) then (Sofia is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1642, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]... | {"split": "train", "index": 19420} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Noah, Abigail, Mia, and Ethan. In Benjamin's words: \"(if (Benjamin is a knight or Noah is a knave or Noah is a knight or Abigail is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1643, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\",... | {"split": "train", "index": 19421} |
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, Victoria, Mia, Oliver, and Sebastian. \"Sebastian is a fool and ((Oliver is a sage and Victoria is a sage and Sebastian is a fool) or (Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1644, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"telli... | {"split": "train", "index": 19422} |
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: Jack, Olivia, Logan, Aria, and Jackson. \"((if Logan is a fool then Olivia is a fool) and (Olivia is a sage and Aria is a fool) and Jackson is a fool and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1645, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 1], [\"telli... | {"split": "train", "index": 19423} |
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: Elizabeth, Lucas, Penelope, Sofia, and Joseph. Elizabeth said that if (it is not the case that (if Sofia is a pioneer then Joseph is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1646, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"te... | {"split": "train", "index": 19424} |
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, Benjamin, Elizabeth, Isabella, and Emma. Henry asserted: \"it is not the case that (it is not the case that (if Emma is an altruist then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1647, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 0]], [\"lying\", 0], [\"l... | {"split": "train", "index": 19425} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Jacob, David, Ava, and Logan. According to Aiden, \"David is a knight if and only if ((Logan is a knight) if and only if (Aiden is a knight an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1648, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"and\", [... | {"split": "train", "index": 19426} |
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, Amelia, Sebastian, Harper, and Lucas. Noah stated, \"Amelia is a sage\". Amelia said, \"it is not the case that ((Noah is a fool or Lucas is a fool o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1649, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]]... | {"split": "train", "index": 19427} |
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: Aria, Liam, Zoey, Lucas, and Oliver. According to Aria, \"(it is not the case that (Liam is a sinner)) and ((Lucas is a saint) and Oliver is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1650, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>... | {"split": "train", "index": 19428} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Alexander, Abigail, Victoria, and Noah. Sebastian expressed that (it is not the case that (Abigail is a devil)) and ((Victoria is an angel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1651, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\",... | {"split": "train", "index": 19429} |
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, Penelope, Evelyn, Sophia, and Lily. \"((Penelope is a villain and Riley is a hero and Penelope is a hero and Evelyn is a villain) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1652, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 19430} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Aurora, Liam, Sofia, and Evelyn. Lucas said that it is not the case that ((Aurora is a sinner if and only if Evelyn is a sinner) and (Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1653, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]]], [\"not\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], ... | {"split": "train", "index": 19431} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jack, Scarlett, Charlotte, Harper, and Lily. According to Jack, \"it is not the case that (Charlotte is a knave or (Scarlett is a knight or Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1654, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]],... | {"split": "train", "index": 19432} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Matthew, Benjamin, Logan, and Elizabeth. Isabella remarked, \"if ((Elizabeth is an egoist and Matthew is an egoist and Logan is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1655, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 19433} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Zoey, Emma, Samuel, and Michael. Matthew said that (Zoey is a knight and (Samuel is a knave) and (Emma is a knave and Zoey is a knave)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1656, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"lying\"... | {"split": "train", "index": 19434} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Grace, Riley, Michael, and Scarlett. In Evelyn's words: \"if ((Grace is a devil or Riley is an angel) and (Michael is a devil if and only if Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1657, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"lying\", 3], [\"lying... | {"split": "train", "index": 19435} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Isabella, Penelope, Sofia, Joseph, and Alexander. Isabella noted, \"((Alexander is a hero if and only if Joseph is a hero) and (if Joseph is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1658, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3], [... | {"split": "train", "index": 19436} |
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, Jack, Penelope, Grace, and Ava. Sebastian commented, \"(if (Penelope is an egoist if and only if Jack is an egoist) then (Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1659, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 19437} |
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, Jacob, Daniel, Sebastian, and William. Matthew commented, \"it is not the case that ((Sebastian is an angel) and Jacob is an angel and Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1660, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [... | {"split": "train", "index": 19438} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Avery, Charlotte, Emma, and Liam. \"((Avery is a saint) and (if Noah is a saint then Charlotte is a sinner) and (if Charlotte is a sinner then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1661, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"o... | {"split": "train", "index": 19439} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Harper, Mason, Lily, and Elizabeth. Noah said that Lily is a villain and (if (if Elizabeth is a villain then Harper is a hero) then (Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1662, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 19440} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Avery, Harper, James, and Emily. As Ethan put it, \"James is a villain and (Avery is a villain if and only if (James is a hero and Emily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1663, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 2]]]], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"... | {"split": "train", "index": 19441} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Benjamin, Daniel, Michael, Amelia, and Logan. Benjamin asserted: \"it is not the case that (it is not the case that (Michael is a fool and Amelia is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1664, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0]]]], [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]], [\"lying\", 0], [\"->\", [\"or... | {"split": "train", "index": 19442} |
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: James, Mason, William, Luke, and Riley. James was heard saying, \"(it is not the case that (Riley is a villain)) or ((James is a hero and William is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1665, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]]], [\"lying\",... | {"split": "train", "index": 19443} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Emma, Henry, Lucas, and Aiden. \"((David is a pioneer and Henry is a laggard) if and only if (if Henry is a pioneer then Henry is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1666, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 19444} |
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, Oliver, Olivia, and Evelyn. \"Olivia is a villain,\" Ava claimed. Sebastian said that Olivia is a hero. Oliver stated, \"((Olivia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1667, \"statements\": [[\"lying\", 3], [\"telling-truth\", 3], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 19445} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Sophia, Luke, Jackson, and James. In a statement by Chloe: \"(if Luke is a knight then James is a knight) and ((Luke is a knave) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1668, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"lying\", 3], [\"->\", [\"t... | {"split": "train", "index": 19446} |
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, Henry, Logan, Scarlett, and Aiden. Sophia commented, \"if (Sophia is an egoist) then (it is not the case that (Henry is an altruist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1669, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0... | {"split": "train", "index": 19447} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Zoey, Jacob, Isabella, Penelope, and Victoria. Zoey said that Isabella is a hero. Jacob was heard saying, \"if ((if Penelope is a villain then Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1670, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-... | {"split": "train", "index": 19448} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Mason, Scarlett, Olivia, and Lucas. According to Henry, \"(if (Lucas is a knave and Mason is a knave and Scarlett is a knight and Henry is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1671, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 19449} |
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: Mason, Aurora, Daniel, Liam, and Harper. As Mason put it, \"if (if (Harper is a knave if and only if Liam is a knave) then (Mason is a knight and Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1672, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 1]]]], [\"or\", [\"and\", [\"or\",... | {"split": "train", "index": 19450} |
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: Chloe, Aria, Ava, Sofia, and Penelope. Chloe said, \"if (Sofia is a sage and (if Aria is a sage then Ava is a fool) and (Penelope is a fool and Aria is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1673, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"or\",... | {"split": "train", "index": 19451} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Elizabeth, William, Avery, Grace, and Joseph. According to Elizabeth, \"if William is a saint then ((Grace is a saint and Joseph is a saint and Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1674, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 19452} |
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: Chloe, William, Victoria, Isabella, and James. \"if ((Isabella is an egoist if and only if Isabella is an altruist) or (Chloe is an altruist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1675, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"<=>... | {"split": "train", "index": 19453} |
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: Owen, Luke, Evelyn, Sophia, and William. Owen was heard saying, \"if William is a villain then (if (Sophia is a hero and William is a villain and Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1676, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 2]]], [\"not\", [\"lying\", 2]], [\"and\", [\"->\", [\"lying\", 4], [\"not\", [\"l... | {"split": "train", "index": 19454} |
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: Scarlett, Aurora, Henry, Oliver, and Lily. \"it is not the case that (it is not the case that (Henry is an egoist)),\" Scarlett claimed. \"((Sc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1677, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 3... | {"split": "train", "index": 19455} |
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: Owen, Scarlett, Joseph, Lucas, and Emily. Owen stated, \"if (Owen is a knave) then (Joseph is a knight if and only if (Emily is a knight or Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1678, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1]]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"an... | {"split": "train", "index": 19456} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Riley, Daniel, James, and Jack. In a statement by Elizabeth: \"((Jack is a devil if and only if Daniel is an angel) or Daniel is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1679, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1]]], [\"tell... | {"split": "train", "index": 19457} |
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: Victoria, Joseph, Daniel, Alexander, and Luke. Victoria was heard saying, \"(it is not the case that (Daniel is an egoist or Alexander is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1680, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]... | {"split": "train", "index": 19458} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, Matthew, Daniel, Riley, and Amelia. \"((Matthew is a laggard and Riley is a pioneer and Daniel is a pioneer and Riley is a laggard) or Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1681, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 2], [... | {"split": "train", "index": 19459} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Emily, Isabella, Grace, and Samuel. Noah remarked, \"if (Isabella is a villain) then ((Emily is a villain if and only if Noah is a hero) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1682, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 4]]... | {"split": "train", "index": 19460} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Joseph, Isabella, Sophia, and Charlotte. \"((Joseph is a knave if and only if Isabella is a knight) and Charlotte is a knave) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1683, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 4]], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 1], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 19461} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Ava, Jackson, James, and Riley. \"it is not the case that ((Ava is a sage and William is a sage and Riley is a sage and Ava is a fool) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1684, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"telling-truth\", 2], [\"<=>\... | {"split": "train", "index": 19462} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Liam, Emily, Zoey, Ava, and James. In Liam's words: \"it is not the case that (it is not the case that (James is a knave or Ava is a knave))\". Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1685, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]]], [\"not\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 19463} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Michael, Samuel, Grace, and Jacob. \"(it is not the case that (Michael is a sage and William is a sage and Jacob is a sage)) if and only if (if (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1686, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"ly... | {"split": "train", "index": 19464} |
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: Luke, Ella, Lucas, Victoria, and Benjamin. \"if ((Ella is an egoist) and (Benjamin is an egoist if and only if Lucas is an altruist)) then ((Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1687, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\... | {"split": "train", "index": 19465} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Jackson, Mason, Owen, and Sophia. According to Alexander, \"Sophia is a knave\". According to Jackson, \"(Jackson is a knight and (Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"lying\", 4], [\"or\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 19466} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Sophia, Ava, Michael, and Aurora. Oliver noted, \"it is not the case that (Aurora is a sage if and only if (Ava is a sage or Michael is a sage))\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [... | {"split": "train", "index": 19467} |
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: Evelyn, Ava, Jacob, William, and Luke. Evelyn said that Luke is a laggard or ((Ava is a pioneer or William is a pioneer) or (Ava is a pioneer o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"t... | {"split": "train", "index": 19468} |
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, Samuel, Mia, Lily, and Joseph. \"if ((Lily is a knave) and (if Joseph is a knave then Sofia is a knight) and (if Mia is a knight then Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 4],... | {"split": "train", "index": 19469} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Riley, William, Scarlett, Ella, and Aria. Riley was heard saying, \"if ((if Ella is an altruist then Aria is an egoist) if and only if (William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1],... | {"split": "train", "index": 19470} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Riley, Emily, Isabella, Benjamin, and Harper. \"if (if (Riley is an altruist or Emily is an altruist) then (Harper is an altruist and Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"lying\", ... | {"split": "train", "index": 19471} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ella, Avery, Riley, Isabella, and Matthew. \"Riley is a knave,\" Ella claimed. \"if ((Isabella is a knave) and (Avery is a knight or Riley is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\",... | {"split": "train", "index": 19472} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Noah, Lily, James, Sebastian, and Jackson. \"(if (Jackson is a saint) then James is a sinner) if and only if (it is not the case that (Lily is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"lying\", 2]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]]]], [\"and\", [\"not\", [\"not\", [\"lyin... | {"split": "train", "index": 19473} |
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: Logan, Owen, Alexander, Liam, and Penelope. Logan noted, \"if (Penelope is a knight or (Penelope is a knave and Owen is a knave and Alexander is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 4]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]],... | {"split": "train", "index": 19474} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Zoey, William, Riley, and Aria. In a statement by Ava: \"if ((Zoey is a knave and William is a knave and Zoey is a knight and Ava is a knight) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"not... | {"split": "train", "index": 19475} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Zoey, Matthew, Charlotte, and Samuel. Oliver asserted: \"(if (Zoey is a fool if and only if Matthew is a fool) then (Matthew is a sage if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\... | {"split": "train", "index": 19476} |
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, Oliver, Mason, Alexander, and Ava. Samuel was heard saying, \"Oliver is a knight if and only if ((Ava is a knave or Oliver is a knave or Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 19477} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Aria, Penelope, Michael, and James. As Matthew put it, \"it is not the case that ((Michael is a sinner) and (Michael is a sinner or James is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"tel... | {"split": "train", "index": 19478} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Riley, Olivia, Michael, and James. As Emma put it, \"it is not the case that ((James is an egoist and James is an altruist) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3]]]], [\"and\", [\"telling-truth\", 0]... | {"split": "train", "index": 19479} |
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: Logan, Olivia, Sebastian, Henry, and Elizabeth. In a statement by Logan: \"(Elizabeth is an egoist if and only if (Henry is an egoist)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 19480} |
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: Grace, William, Zoey, Elizabeth, and Chloe. \"if ((Zoey is an egoist and Elizabeth is an altruist and Chloe is an altruist and Elizabeth is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 1], [\"lying\", 3], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 19481} |
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, Scarlett, Zoey, Aurora, and Benjamin. Noah said that it is not the case that ((Zoey is an altruist and Aurora is an altruist and Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"<... | {"split": "train", "index": 19482} |
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: Harper, Charlotte, Jacob, Lily, and Noah. Harper told you that it is not the case that ((Harper is an angel or Lily is an angel) or (Charlotte is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 19483} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Jacob, Grace, Mason, and Victoria. Harper noted, \"(if (Victoria is a hero) then (Victoria is a villain and Jacob is a villain)) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\",... | {"split": "train", "index": 19484} |
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: Scarlett, Charlotte, Luke, Benjamin, and Jack. \"(if Benjamin is an egoist then (Jack is an egoist or Luke is an egoist or Luke is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3]]],... | {"split": "train", "index": 19485} |
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, Riley, Ethan, David, and Mason. Abigail was heard saying, \"it is not the case that ((Riley is a saint or Abigail is a saint or David is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"lying\", 0], [\"lying\... | {"split": "train", "index": 19486} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Mason, Aurora, Michael, and Noah. Oliver said, \"it is not the case that ((if Mason is an egoist then Michael is an altruist) and (Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], ... | {"split": "train", "index": 19487} |
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: Harper, Emma, Emily, Sebastian, and Isabella. As Harper put it, \"((Emma is a devil and Emily is an angel and Harper is an angel and Emily is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 19488} |
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: James, Evelyn, Noah, Olivia, and Chloe. \"if ((Evelyn is a knight and Olivia is a knave) and (Evelyn is a knave or Chloe is a knight or Olivia is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"lying\", 4]], [\"or\", [\"not\", [\"... | {"split": "train", "index": 19489} |
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, Lucas, Abigail, Zoey, and Jackson. Victoria commented, \"(if (if Lucas is a hero then Lucas is a villain) then (Abigail is a hero)) or Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 19490} |
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, Isabella, Victoria, Ava, and Matthew. Penelope was heard saying, \"if ((Isabella is a sinner) or (Victoria is a sinner if and only if Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\", 1]], [\"->\", [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"telling-... | {"split": "train", "index": 19491} |
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, Penelope, Alexander, Amelia, and Oliver. Michael noted, \"if ((Penelope is a fool and Alexander is a fool and Amelia is a fool and Oliver is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"te... | {"split": "train", "index": 19492} |
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: Isabella, Michael, Sophia, Owen, and Sebastian. Isabella stated, \"(it is not the case that (Sophia is a saint or Sebastian is a sinner)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 19493} |
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: Lucas, Daniel, Mason, Charlotte, and Olivia. \"Olivia is a fool,\" Lucas mentioned. According to Daniel, \"(if (Mason is a sage) then (if Charlotte is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"lying\", 4], [\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 0]]],... | {"split": "train", "index": 19494} |
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, Sophia, Sebastian, Emma, and Liam. Henry stated, \"(Sebastian is a hero or (Sebastian is a villain if and only if Emma is a villain) or (Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\... | {"split": "train", "index": 19495} |
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: James, Amelia, Jacob, Olivia, and Samuel. James commented, \"if ((Samuel is an angel) if and only if James is an angel) then (if (Jacob is an angel) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"lying\", 2]], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], ... | {"split": "train", "index": 19496} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Lily, William, Aurora, and Ava. \"((Lily is a hero) and Aurora is a villain and (Ava is a hero and William is a hero)) or ((Ava is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 1]], [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"t... | {"split": "train", "index": 19497} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Evelyn, Emily, Ethan, and Scarlett. Zoey was heard saying, \"Evelyn is a devil\". \"((if Zoey is an angel then Scarlett is a devil) and (Emily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 19498} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Owen, Daniel, Samuel, Lucas, and Lily. In Owen's words: \"(Lucas is a sinner) or (it is not the case that (Lily is a sinner if and only if Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 19499} |
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