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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sebastian, Mia, Charlotte, Chloe, and Daniel. \"((Chloe is a saint if and only if Chloe is a sinner) if and only if (Chloe is a saint)) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1666, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"and\", ... | {"split": "train", "index": 15000} |
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: Mia, Liam, Oliver, Jack, and Henry. Mia expressed that (it is not the case that (Henry is a saint or Henry is a sinner)) and ((Liam is a sinner or Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1667, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 2]]]], [\"telling-truth\", 2], [\"<=>\", [\... | {"split": "train", "index": 15001} |
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: Jacob, David, Liam, Noah, and Alexander. According to Jacob, \"((if Liam is an altruist then Noah is an egoist) or David is an altruist) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1668, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"lying\", 3], [\"and\", [\"not\",... | {"split": "train", "index": 15002} |
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: Michael, Sofia, Noah, Benjamin, and David. Michael remarked, \"((Noah is a laggard and David is a pioneer) or (if David is a pioneer then Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1669, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"tell... | {"split": "train", "index": 15003} |
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, Oliver, Luke, Ethan, and Chloe. David asserted: \"((Luke is a pioneer) if and only if Chloe is a pioneer) and (if (Chloe is a laggard) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1670, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\"... | {"split": "train", "index": 15004} |
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, Ava, Noah, Sofia, and Alexander. Mia said, \"((Noah is a fool and Alexander is a sage) or (Noah is a fool and Ava is a sage)) and ((Alexander is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1671, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", ... | {"split": "train", "index": 15005} |
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, Elizabeth, Sophia, Ethan, and Logan. Ava said that Logan is a knave if and only if ((Ava is a knight if and only if Ethan is a knight) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1672, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 15006} |
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, Daniel, Owen, Grace, and Matthew. In a statement by Sophia: \"it is not the case that (Daniel is a villain if and only if (Daniel is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1673, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"and\", [\"lying\", 1], [\"lying\", 2]]]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4... | {"split": "train", "index": 15007} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Owen, Noah, Alexander, and Aiden. In a statement by Oliver: \"(if (Noah is a laggard and Alexander is a pioneer) then (Aiden is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1674, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 4]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 4]... | {"split": "train", "index": 15008} |
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, Olivia, Jack, Riley, and Amelia. Aiden stated, \"(Riley is a knight and (Amelia is a knave)) or (it is not the case that (Riley is a knight if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1675, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], ... | {"split": "train", "index": 15009} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Ella, Oliver, Jackson, and Emily. According to Noah, \"Ella is a knight\". As Ella put it, \"it is not the case that ((Jackson is a knave and J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1676, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\"... | {"split": "train", "index": 15010} |
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: Sebastian, Jacob, Mia, Evelyn, and Owen. Sebastian was heard saying, \"Mia is a villain\". \"if ((Mia is a villain) and (Mia is a villain and Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1677, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling... | {"split": "train", "index": 15011} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Chloe, Charlotte, Sebastian, Aurora, and Samuel. As Chloe put it, \"Sebastian is a villain\". Charlotte told you that Samuel is a hero. Sebastian ass... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1678, \"statements\": [[\"lying\", 2], [\"telling-truth\", 4], [\"not\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"and\... | {"split": "train", "index": 15012} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Lily, Logan, Aiden, and Daniel. As Olivia put it, \"Daniel is an altruist\". \"Aiden is an egoist\" - Lily. Logan asserted: \"Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1679, \"statements\": [[\"not\", [\"lying\", 4]], [\"lying\", 3], [\"and\", [\"telling-truth\", 0], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"... | {"split": "train", "index": 15013} |
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, Emily, Isabella, Joseph, and Amelia. Sofia was heard saying, \"((Amelia is a pioneer if and only if Isabella is a pioneer) or (Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1680, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 15014} |
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: Samuel, Lucas, David, Harper, and Chloe. Samuel was heard saying, \"(if (Lucas is a pioneer if and only if Chloe is a pioneer) then David is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1681, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 1]... | {"split": "train", "index": 15015} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Henry, Abigail, Jackson, and Avery. Victoria said that ((Jackson is a knight and Avery is a knave) or (Avery is a knave if and only if Vict... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1682, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\... | {"split": "train", "index": 15016} |
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, Elizabeth, Mason, Joseph, and Sophia. In Ella's words: \"if ((Mason is a sinner if and only if Mason is a saint) and (Sophia is a sinner or Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1683, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 15017} |
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, Harper, Abigail, Ava, and Owen. In a statement by William: \"it is not the case that (William is a saint or (Harper is a sinner))\". Harper ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1684, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [... | {"split": "train", "index": 15018} |
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: William, Henry, Matthew, Chloe, and Olivia. William expressed that (William is a hero if and only if (if Matthew is a villain then Olivia is a hero))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1685, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"an... | {"split": "train", "index": 15019} |
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: Oliver, Emma, Joseph, Riley, and William. \"if ((Joseph is a villain or William is a hero) and Emma is a hero) then ((if Joseph is a hero then Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1686, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-trut... | {"split": "train", "index": 15020} |
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: Olivia, Lily, Owen, Joseph, and Liam. In a statement by Olivia: \"if ((Liam is a knave) or Joseph is a knight) then ((Liam is a knight if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1687, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"->... | {"split": "train", "index": 15021} |
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, Aurora, Zoey, Amelia, and David. As Mason put it, \"if (Amelia is a devil or (Zoey is an angel)) then ((David is an angel) if and only if (Mason... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"not\", [\"lying\", 2]], [\"telling-truth... | {"split": "train", "index": 15022} |
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, Amelia, Scarlett, Liam, and Ella. \"Amelia is an angel,\" Logan mentioned. Amelia said, \"Ella is a devil.\" Scarlett said, \"((Logan is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"telling-truth\", 1], [\"lying\", 4], [\"and\", [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"ly... | {"split": "train", "index": 15023} |
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, Lily, Harper, Oliver, and Alexander. \"if (Ella is a saint and (Oliver is a sinner and Alexander is a sinner)) then (if (Oliver is a sinner or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]... | {"split": "train", "index": 15024} |
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, Samuel, Zoey, Avery, and Harper. In a statement by James: \"Harper is a sinner\". Samuel asserted: \"(it is not the case that (if Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 3]], [\"lying\", 4], [\"and\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]... | {"split": "train", "index": 15025} |
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, Joseph, Mia, Emma, and William. Jack remarked, \"Mia is a fool\". According to Joseph, \"Jack is a sage if and only if ((Joseph is a sage or Emma is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 3]]]], [\"or\", [\"or\", [\"not\", [\"telling-t... | {"split": "train", "index": 15026} |
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, Harper, Liam, Sofia, and Abigail. \"(if (Abigail is a fool if and only if Sofia is a sage) then (if Harper is a sage then Grace is a sage)) and ((So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"l... | {"split": "train", "index": 15027} |
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: Emily, David, Jackson, Sophia, and Victoria. In a statement by Emily: \"Sophia is a knave\". David was heard saying, \"((if Sophia is a knight then E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 0], [\"->\"... | {"split": "train", "index": 15028} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Victoria, Lucas, Olivia, Jack, and Ella. \"(if (if Ella is a knave then Victoria is a knight) then (Victoria is a knight if and only if Olivia is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]]], [\"and\", [... | {"split": "train", "index": 15029} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Alexander, Jacob, Owen, and Ava. \"Ava is a villain,\" Emily declared. Alexander asserted: \"(if (Owen is a hero or Emily is a hero) then (Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]]... | {"split": "train", "index": 15030} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Ethan, Harper, Jack, and Elizabeth. In a statement by Alexander: \"it is not the case that (if (Jack is an egoist and Elizabeth is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 4]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [... | {"split": "train", "index": 15031} |
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, Scarlett, Mia, David, and James. Jackson told you that ((Jackson is a sage if and only if James is a sage) or James is a fool) if and only if ((if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 4]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]... | {"split": "train", "index": 15032} |
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, Mia, Benjamin, Ava, and Scarlett. Lucas asserted: \"((Benjamin is a fool) or Mia is a sage) and Mia is a fool\". \"((Benjamin is a sage or Lucas is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"lying\", 1]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3... | {"split": "train", "index": 15033} |
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, William, Avery, Evelyn, and Liam. \"William is an altruist if and only if ((if Liam is an altruist then Charlotte is an altruist) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 0], [\"... | {"split": "train", "index": 15034} |
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, Jackson, Henry, Daniel, and Charlotte. James was heard saying, \"it is not the case that (it is not the case that (James is a hero and Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", ... | {"split": "train", "index": 15035} |
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, Ava, Ethan, Jackson, and Isabella. Abigail noted, \"it is not the case that (if (Isabella is a saint or Ava is a saint) then (Jackson is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", ... | {"split": "train", "index": 15036} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Jackson, Avery, Isabella, and Elizabeth. William noted, \"Avery is a knight\". Jackson told you that (if (Elizabeth is a knight or William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]... | {"split": "train", "index": 15037} |
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, Jackson, Benjamin, Ava, and Samuel. \"if (if (Samuel is a knave or Benjamin is a knight) then Ava is a knave) then Samuel is a knight,\" C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\... | {"split": "train", "index": 15038} |
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, Luke, Emma, Lily, and Benjamin. David commented, \"it is not the case that (if (Luke is a pioneer if and only if Benjamin is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 4], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 15039} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Abigail, Sophia, Daniel, Sofia, and Mia. In a statement by Abigail: \"((Abigail is a pioneer and Daniel is a pioneer) or (Daniel is a laggard o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"an... | {"split": "train", "index": 15040} |
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: Daniel, William, Ella, Abigail, and Grace. \"(if (Abigail is a sage or Ella is a sage) then (William is a fool and Ella is a sage)) or ((William is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 4]]], [\"<=... | {"split": "train", "index": 15041} |
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, Evelyn, Michael, and Sophia. Victoria was heard saying, \"((Sophia is a devil or Evelyn is an angel) if and only if (if Michael is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"<=>\", [\"not\... | {"split": "train", "index": 15042} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Noah, Abigail, Logan, and Oliver. \"it is not the case that ((Noah is an altruist) or Oliver is an egoist),\" Alexander claimed. Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 3], [\"->\", [\... | {"split": "train", "index": 15043} |
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: Benjamin, Jackson, Daniel, Olivia, and Victoria. In a statement by Benjamin: \"if ((Olivia is a laggard if and only if Jackson is a pioneer) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 15044} |
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, Ella, Elizabeth, Aurora, and Matthew. \"Elizabeth is an angel,\" Benjamin mentioned. \"((Matthew is a devil and Aurora is a devil) and (Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", ... | {"split": "train", "index": 15045} |
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: Ava, Ella, Mia, Riley, and Owen. Ava said that Ava is an angel. Ella commented, \"(Owen is a devil and (Mia is an angel)) and ((Owen is a devil and Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"... | {"split": "train", "index": 15046} |
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: Jacob, Jack, Alexander, Aurora, and Jackson. In Jacob's words: \"if ((if Jack is a sage then Jack is a fool) if and only if (Aurora is a sage or Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]]]... | {"split": "train", "index": 15047} |
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, Scarlett, Isabella, Lucas, and David. \"(if (Scarlett is a pioneer and David is a pioneer) then (if Scarlett is a laggard then Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 15048} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Victoria, Logan, Aria, and Charlotte. \"Charlotte is a knight,\" Penelope mentioned. Victoria said, \"(it is not the case that (if Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"or\", [\"... | {"split": "train", "index": 15049} |
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: Charlotte, Jack, Grace, Avery, and Liam. As Charlotte put it, \"Grace is a hero\". \"(Grace is a villain and Liam is a villain) and ((Grace is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"lying\", 4]]]], [\"->\", [\"and\", [\"<=>\", [\"lyin... | {"split": "train", "index": 15050} |
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: Avery, Logan, Oliver, Jack, and Evelyn. Avery remarked, \"((Oliver is a hero and Avery is a hero) and (if Avery is a hero then Logan is a villain)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-... | {"split": "train", "index": 15051} |
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, James, Emily, Jackson, and Amelia. Logan told you that (if (Amelia is a fool and Jackson is a fool) then (Emily is a fool if and only if Jackson is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"<=>\... | {"split": "train", "index": 15052} |
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, Henry, Isabella, Jackson, and Penelope. Logan said, \"(Henry is an altruist or (Jackson is an altruist)) if and only if Penelope is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"and\", [\... | {"split": "train", "index": 15053} |
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: Emma, Logan, Michael, James, and Scarlett. In Emma's words: \"James is a pioneer\". Logan asserted: \"(James is a pioneer) or (if (Scarlett is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"lying\", 1], [\"->\", [\"->\... | {"split": "train", "index": 15054} |
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: Riley, Zoey, Liam, Lucas, and Ethan. Riley noted, \"(it is not the case that (if Ethan is a devil then Riley is an angel)) if and only if ((if Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"lying\", 2], [\"or\", [\"not\", [\"or\",... | {"split": "train", "index": 15055} |
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, Scarlett, Ava, Chloe, and Daniel. James commented, \"Chloe is a knave if and only if ((Chloe is a knave if and only if Ava is a knight) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"<=>\", [\"lying\", 3], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\... | {"split": "train", "index": 15056} |
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, Scarlett, Zoey, Lily, and Charlotte. Riley remarked, \"Zoey is a knight\". \"((Zoey is a knight if and only if Zoey is a knave) and (Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling... | {"split": "train", "index": 15057} |
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, Elizabeth, Amelia, Scarlett, and Aiden. In Charlotte's words: \"Elizabeth is a pioneer\". According to Elizabeth, \"((Aiden is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth... | {"split": "train", "index": 15058} |
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, Penelope, Lucas, Benjamin, and Alexander. Elizabeth said, \"it is not the case that (Benjamin is a villain and (Penelope is a hero if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"->\... | {"split": "train", "index": 15059} |
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: Riley, Henry, Matthew, Harper, and Ethan. In Riley's words: \"it is not the case that (if (Henry is an angel and Riley is an angel) then (Harper is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 15060} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lucas, David, Jackson, Sebastian, and Avery. According to Lucas, \"if (David is an angel) then Avery is a devil\". In David's words: \"((Avery is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"lying\", 4]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]]], [\"->\", [... | {"split": "train", "index": 15061} |
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, Daniel, Harper, Sebastian, and David. As Sofia put it, \"Sebastian is a laggard\". Daniel told you that Daniel is a pioneer or (if (Sofi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"->... | {"split": "train", "index": 15062} |
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, William, Evelyn, Benjamin, and Logan. Henry was heard saying, \"Logan is a fool\". According to William, \"Logan is a sage or (if (Logan is a sage o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"->\... | {"split": "train", "index": 15063} |
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: Avery, Lily, Henry, Scarlett, and Aiden. In Avery's words: \"Aiden is a devil and ((Scarlett is an angel) or (if Lily is a devil then Scarlett is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"not\", [\... | {"split": "train", "index": 15064} |
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, Ava, Lily, Daniel, and Aria. Lucas stated, \"(Aria is a knave or (Ava is a knave or Lucas is a knight)) or (if (Lily is a knight and Lucas is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 15065} |
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, Emma, Matthew, Lily, and Charlotte. William expressed that it is not the case that (Matthew is a sage). \"Matthew is a sage if and only if ((Charl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 0]]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 15066} |
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, Charlotte, Matthew, Penelope, and Jacob. Ella said, \"(if (Matthew is a knave) then (Matthew is a knight and Matthew is a knave)) or ((Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 0], ... | {"split": "train", "index": 15067} |
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, Victoria, Logan, Emily, and Harper. Owen remarked, \"(if (Logan is a hero if and only if Owen is a hero) then (Owen is a hero if and only if Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", ... | {"split": "train", "index": 15068} |
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, Harper, Oliver, Elizabeth, and Daniel. Mason remarked, \"(it is not the case that (Elizabeth is a devil if and only if Daniel is an angel)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"not\", [\"->\", [\"and\"... | {"split": "train", "index": 15069} |
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: James, Lily, Oliver, Chloe, and William. James told you that if James is an altruist then (it is not the case that (if William is an egoist the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]... | {"split": "train", "index": 15070} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Grace, Aria, Oliver, and Olivia. Charlotte commented, \"(if (Olivia is an angel if and only if Grace is an angel) then (if Oliver is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"l... | {"split": "train", "index": 15071} |
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: Avery, Logan, Aiden, Emma, and Ella. Avery noted, \"Emma is a sage and (it is not the case that (Aiden is a fool))\". Logan remarked, \"if (it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]]... | {"split": "train", "index": 15072} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Evelyn, Charlotte, Benjamin, and Aurora. According to Sophia, \"Aurora is a sinner\". Evelyn said that ((Aurora is a saint if and only if Cha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"or\"... | {"split": "train", "index": 15073} |
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: Ethan, Scarlett, Penelope, Aria, and Victoria. \"it is not the case that (if Scarlett is a pioneer then Scarlett is a laggard),\" Ethan claimed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 2]], [\"or\", [\"not\", [\"tellin... | {"split": "train", "index": 15074} |
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: Olivia, Ella, Harper, Riley, and Sophia. Olivia expressed that ((Riley is a laggard) or (Sophia is a pioneer)) and ((Riley is a laggard) or (El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"->\... | {"split": "train", "index": 15075} |
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, Penelope, Abigail, Scarlett, and Luke. Noah said that ((if Penelope is a fool then Luke is a sage) if and only if (Abigail is a sage or Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 3]... | {"split": "train", "index": 15076} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Benjamin, Sofia, David, and Ethan. \"(it is not the case that (Ethan is a knave or Sofia is a knave)) or ((Sofia is a knave or Benjamin is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"->\", [\"lying\", 3], [\"or\", [\"not\", [\"telli... | {"split": "train", "index": 15077} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Emma, Charlotte, Aria, and Liam. Isabella was heard saying, \"if ((Aria is a fool if and only if Charlotte is a fool) if and only if (Isabella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\... | {"split": "train", "index": 15078} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Michael, Jacob, Olivia, Grace, and Lily. Michael asserted: \"((Grace is a devil and Jacob is a devil) or (Jacob is a devil if and only if Olivia is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"->\", [\"or\", [\"and\"... | {"split": "train", "index": 15079} |
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: David, Mia, Aiden, Olivia, and Harper. \"if ((Harper is a sage if and only if Aiden is a sage) if and only if (Mia is a sage)) then ((Aiden is a fool or Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 15080} |
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: Logan, James, Emma, Jackson, and Evelyn. \"if (Jackson is a pioneer if and only if (Jackson is a pioneer or Evelyn is a pioneer)) then (James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"->\", [\"not\", [\"and\", [\"telling-t... | {"split": "train", "index": 15081} |
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: William, Samuel, Amelia, Chloe, and Alexander. William was heard saying, \"it is not the case that ((Alexander is a villain or Samuel is a villain) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 15082} |
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: Jack, Scarlett, Emma, Liam, and Alexander. Jack remarked, \"Emma is an egoist\". Scarlett noted, \"((Liam is an egoist) or (if Emma is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"lying\", 2], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"or\", [\"and\",... | {"split": "train", "index": 15083} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Liam, Isabella, Ava, Owen, and Riley. In Liam's words: \"it is not the case that ((if Isabella is an altruist then Ava is an altruist) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"... | {"split": "train", "index": 15084} |
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: Ava, James, Victoria, Emily, and Aiden. In a statement by Ava: \"James is an angel\". James expressed that Emily is a devil if and only if ((Victoria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 0]]]], [\"->\", [\"->\", [\"<=>\", [\"lying\",... | {"split": "train", "index": 15085} |
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, Aiden, Lily, Sofia, and Daniel. Owen said that if ((Daniel is a knight if and only if Owen is a knight) if and only if (Daniel is a knave and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"t... | {"split": "train", "index": 15086} |
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, Jackson, Ava, Emily, and Benjamin. \"(if (Emily is a saint and Benjamin is a sinner) then Emily is a saint) if and only if Emily is a sinner,\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\"lying\", 3]], [\"and\", [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 15087} |
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, Mia, Mason, Charlotte, and Michael. Noah was heard saying, \"(if Mia is a fool then (if Mason is a sage then Charlotte is a fool)) if and only if ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]... | {"split": "train", "index": 15088} |
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, Grace, Sofia, Matthew, and Scarlett. In Joseph's words: \"Joseph is a hero\". Grace said, \"if ((if Grace is a hero then Joseph is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\... | {"split": "train", "index": 15089} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Riley, Ella, Zoey, Michael, and Logan. As Riley put it, \"if Michael is a fool then ((if Logan is a sage then Zoey is a sage) and (Zoey is a sage and Ella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"->\", [\"lying\", 3], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 15090} |
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: Emma, Aurora, Grace, Victoria, and Zoey. According to Emma, \"Victoria is a knave\". \"Victoria is a knave if and only if ((Emma is a knave and Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"lying\", 0]]], [\"or\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 15091} |
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: Harper, Avery, Sophia, Samuel, and Joseph. Harper said, \"it is not the case that (it is not the case that (Sophia is a saint and Joseph is a saint))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"ly... | {"split": "train", "index": 15092} |
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, Mia, Noah, Amelia, and Riley. Ethan said that it is not the case that ((Amelia is a villain if and only if Noah is a hero) and (Amelia is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [... | {"split": "train", "index": 15093} |
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, Aurora, Oliver, Benjamin, and Lily. In Penelope's words: \"((Oliver is a pioneer or Benjamin is a laggard) if and only if (Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], ... | {"split": "train", "index": 15094} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, William, Victoria, Lily, and Matthew. \"if (if (if Lily is a villain then William is a hero) then (Mia is a villain)) then ((Lily is a villain o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"<... | {"split": "train", "index": 15095} |
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: Daniel, Abigail, Olivia, Oliver, and Avery. \"((Oliver is a villain or Abigail is a hero) if and only if Oliver is a villain) or Avery is a villain\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->... | {"split": "train", "index": 15096} |
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: David, Charlotte, Benjamin, William, and Elizabeth. David said, \"(it is not the case that (if Benjamin is a fool then Elizabeth is a fool)) or (David is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 15097} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Ethan, Aria, Liam, and Mia. \"(if (Liam is a knave) then Evelyn is a knight) if and only if ((Aria is a knight and Evelyn is a knight) and (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]]], [\"->\", [... | {"split": "train", "index": 15098} |
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: Grace, Harper, David, Michael, and Amelia. \"it is not the case that (it is not the case that (Michael is a knight or Michael is a knave))\" - Grace.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 15099} |
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