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 pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Olivia, Penelope, Matthew, Mason, and Henry. Olivia asserted: \"Olivia is a pioneer and (Penelope is a pioneer and Matthew is a pioneer) and (M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"lying\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\... | {"split": "train", "index": 9100} |
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: Emily, Isabella, Samuel, Elizabeth, and Sophia. Emily noted, \"(Isabella is an angel or Isabella is a devil) or (if Sophia is a devil then Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"lying\", 1], [\"not\", [\"or\", [\"ly... | {"split": "train", "index": 9101} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Sebastian, Jack, Noah, and Emma. Aiden stated, \"(Noah is an altruist and Jack is an egoist and Emma is an altruist) if and only if (Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"lying\", 0], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"no... | {"split": "train", "index": 9102} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Jack, Daniel, Liam, and Penelope. Aria stated, \"Penelope is a laggard\". \"Penelope is a laggard or (Aria is a laggard) or (Aria is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"lying\", 4], [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\",... | {"split": "train", "index": 9103} |
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: Emma, Mason, Aiden, Charlotte, and Benjamin. Emma commented, \"Charlotte is a villain\". \"Emma is a villain,\" Mason declared. As Aiden put it, \"(E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"lying\", 3], [\"lying\", 0], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"lying\", 2], [... | {"split": "train", "index": 9104} |
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: Noah, Logan, Alexander, Victoria, and Chloe. Noah was heard saying, \"Logan is a laggard\". \"(Alexander is a laggard and Chloe is a pioneer an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 0], [... | {"split": "train", "index": 9105} |
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: Riley, Mason, Daniel, Noah, and Ava. Riley noted, \"Ava is a sinner\". Mason said, \"(Ava is a sinner or Daniel is a sinner or Daniel is a saint) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"lying\", 4], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\"... | {"split": "train", "index": 9106} |
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, Matthew, Ava, Luke, and Elizabeth. Emily was heard saying, \"Ava is a hero and (Emily is a hero or Elizabeth is a hero or Luke is a villain)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", ... | {"split": "train", "index": 9107} |
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, Logan, Aria, Scarlett, and Benjamin. Sophia told you that it is not the case that (Logan is an altruist or Benjamin is an altruist or B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 0], [\"lyin... | {"split": "train", "index": 9108} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Isabella, Michael, Amelia, Ethan, and Jackson. Isabella said that (Jackson is an angel or Amelia is an angel) and (Ethan is an angel if and only if Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"and\", [\... | {"split": "train", "index": 9109} |
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, Ava, Mia, Michael, and Avery. David said that if (Michael is a pioneer or Ava is a laggard or Avery is a laggard) then (Ava is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\"... | {"split": "train", "index": 9110} |
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: Jack, Chloe, Matthew, James, and Noah. In a statement by Jack: \"Jack is a saint or (James is a saint and Matthew is a saint and Matthew is a sinner)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], ... | {"split": "train", "index": 9111} |
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, Emily, Aria, Mason, and Ethan. \"(Emily is a laggard or Mason is a pioneer or Mason is a laggard) or (Emily is a pioneer),\" David menti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth... | {"split": "train", "index": 9112} |
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, Olivia, Charlotte, Logan, and Zoey. \"(Charlotte is a sage or Olivia is a fool) or (Charlotte is a fool if and only if Zoey is a sage)\" - Jacob. Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"and\", [\"not\", [\"t... | {"split": "train", "index": 9113} |
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, Victoria, Ella, Scarlett, and Olivia. James was heard saying, \"(James is an altruist if and only if Olivia is an egoist) or (Ella is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"tel... | {"split": "train", "index": 9114} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Ella, Penelope, Joseph, and Riley. Luke expressed that (Riley is a knave and Riley is a knight and Penelope is a knight) and (Riley is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\... | {"split": "train", "index": 9115} |
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, Matthew, Emily, Evelyn, and Riley. \"(Riley is an altruist) and (Scarlett is an egoist),\" Scarlett claimed. Matthew noted, \"(Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 9116} |
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: Aria, Henry, Benjamin, David, and Mia. Aria stated, \"it is not the case that (Henry is a knave if and only if Benjamin is a knave)\". Henry was hear... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 1], [\"lyi... | {"split": "train", "index": 9117} |
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, Ava, Oliver, Michael, and James. Henry said, \"(Michael is a sage or Henry is a sage) and (Michael is a sage or James is a sage or Oliver is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\"... | {"split": "train", "index": 9118} |
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: Evelyn, Benjamin, Abigail, Aiden, and Liam. Evelyn was heard saying, \"Liam is a fool\". Benjamin told you that it is not the case that (Evelyn is a fool).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"lying\", 4], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 4]... | {"split": "train", "index": 9119} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Matthew, Grace, Mia, and Zoey. Aurora remarked, \"Mia is a hero or (Matthew is a villain and Grace is a villain and Grace is a hero)\". Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 9120} |
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, Alexander, Aiden, Victoria, and Ava. Daniel stated, \"Aiden is a sage\". \"(Aiden is a fool) if and only if Aiden is a fool,\" Alexander mentioned.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]]... | {"split": "train", "index": 9121} |
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: Mia, Olivia, Jack, Jackson, and Liam. \"it is not the case that (Olivia is a knave if and only if Mia is a knight)\" - Mia. Olivia commented, \"Jack ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 2]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]... | {"split": "train", "index": 9122} |
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, Elizabeth, Evelyn, Victoria, and Ava. Henry said, \"it is not the case that (if Evelyn is a knight then Elizabeth is a knight).\" Elizabeth sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"t... | {"split": "train", "index": 9123} |
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: Jacob, Victoria, Aiden, Ava, and Michael. Jacob commented, \"(Victoria is a hero if and only if Michael is a villain) or (Victoria is a villain or Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"telling... | {"split": "train", "index": 9124} |
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, Jackson, Emily, Riley, and Aiden. Daniel remarked, \"Riley is a hero\". In Jackson's words: \"it is not the case that (Daniel is a hero)\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 9125} |
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: Scarlett, Lily, Avery, Jackson, and Ava. Scarlett remarked, \"it is not the case that (Jackson is a sage if and only if Lily is a sage)\". \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"or\", ... | {"split": "train", "index": 9126} |
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: Ella, Alexander, Charlotte, Zoey, and Benjamin. According to Ella, \"Benjamin is a pioneer and (if Alexander is a pioneer then Zoey is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [... | {"split": "train", "index": 9127} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Sofia, Benjamin, Avery, and Victoria. Ava commented, \"(Victoria is a sage or Avery is a fool) and Sofia is a sage and (Sofia is a sage or Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 1], [... | {"split": "train", "index": 9128} |
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: Owen, Emma, Ethan, Mia, and Elizabeth. Owen stated, \"it is not the case that (Emma is an altruist)\". Emma asserted: \"if (Elizabeth is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 1]]], [\"->\", ... | {"split": "train", "index": 9129} |
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, Alexander, Avery, Benjamin, and Lily. In Riley's words: \"Lily is a devil and (Benjamin is an angel if and only if Alexander is a devil)\". \"Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying... | {"split": "train", "index": 9130} |
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: Chloe, Lily, Jackson, Alexander, and Joseph. \"(Lily is a saint if and only if Joseph is a sinner) if and only if (Joseph is a saint and Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not... | {"split": "train", "index": 9131} |
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, William, Sebastian, Emily, and Lily. Henry said, \"Sebastian is an altruist.\" \"(if Sebastian is an altruist then Sebastian is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 2]], [\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 0]], [\"ly... | {"split": "train", "index": 9132} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Mia, Zoey, Jackson, and Isabella. In a statement by Lily: \"(Jackson is an egoist and Zoey is an egoist) or Isabella is an altruist or (Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\... | {"split": "train", "index": 9133} |
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: Abigail, Henry, Aiden, Harper, and Matthew. Abigail remarked, \"it is not the case that (Aiden is a knave and Matthew is a knight and Henry is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"... | {"split": "train", "index": 9134} |
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: Victoria, Liam, Mason, Chloe, and Henry. Victoria told you that (Mason is a laggard) if and only if (if Victoria is a pioneer then Henry is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 0], [\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]... | {"split": "train", "index": 9135} |
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, Riley, Sebastian, Owen, and Harper. Evelyn noted, \"if (if Evelyn is an angel then Owen is a devil) then Owen is an angel\". \"(Harper is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"not\"... | {"split": "train", "index": 9136} |
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, Ava, Avery, Victoria, and Benjamin. \"Victoria is an angel,\" Matthew mentioned. \"Matthew is an angel\" - Ava. Avery asserted: \"Victoria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\... | {"split": "train", "index": 9137} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lucas, Isabella, Ava, Aiden, and Alexander. Lucas asserted: \"(Isabella is a laggard) if and only if (Isabella is a pioneer and Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 2], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\"... | {"split": "train", "index": 9138} |
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, Jacob, Liam, Mason, and Joseph. Jack commented, \"(Jacob is a knight if and only if Jack is a knight) or Joseph is a knave or (Jacob is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 4], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], ... | {"split": "train", "index": 9139} |
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, Riley, Lucas, Jacob, and Charlotte. Oliver asserted: \"it is not the case that (Lucas is a villain and Jacob is a villain)\". Riley stated, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [... | {"split": "train", "index": 9140} |
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, Charlotte, Victoria, Samuel, and Ethan. Sofia said that if (Charlotte is a knave or Victoria is a knight) then (Ethan is a knight). Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 1], [\"and\", [\"telling-t... | {"split": "train", "index": 9141} |
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, Olivia, Liam, Scarlett, and Henry. \"(Liam is a saint) if and only if (Olivia is a sinner if and only if Scarlett is a sinner)\" - Harper. \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 2]], [\"->\", [\... | {"split": "train", "index": 9142} |
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: Aiden, Owen, Liam, Logan, and Sebastian. Aiden told you that (if Owen is a villain then Logan is a villain) or (Owen is a villain or Logan is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 3], ... | {"split": "train", "index": 9143} |
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, Charlotte, Liam, Victoria, and Isabella. \"if (if Victoria is an angel then Isabella is a devil) then Victoria is an angel,\" Matthew mentione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"->\", [\"lying\... | {"split": "train", "index": 9144} |
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, Penelope, James, Michael, and Sophia. Logan expressed that if (Michael is a knight) then (James is a knight). According to Penelope, \"if (Sop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"... | {"split": "train", "index": 9145} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Liam, Riley, Benjamin, and Charlotte. Zoey asserted: \"(if Charlotte is a knave then Riley is a knave) or (Riley is a knight or Zoey is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"->\", [\... | {"split": "train", "index": 9146} |
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, Scarlett, Zoey, Joseph, and Isabella. \"(if Isabella is a devil then Isabella is an angel) or (Isabella is an angel or Michael is an angel) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\"... | {"split": "train", "index": 9147} |
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, Mason, Daniel, Chloe, and Harper. \"Mason is a sinner\" - Mia. Mason noted, \"Mia is a sinner or (if Mason is a saint then Daniel is a sinner)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"lying\", 1], [\"or\", [\"lying\", 0], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 9148} |
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, Noah, Ava, Avery, and Sebastian. Michael remarked, \"(if Michael is a sage then Sebastian is a fool) and (if Avery is a fool then Sebastian is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telli... | {"split": "train", "index": 9149} |
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, Mason, Matthew, Ella, and Ethan. As Jackson put it, \"Matthew is an angel\". Mason stated, \"(Ella is a devil) if and only if (Mason is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]]... | {"split": "train", "index": 9150} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, Emma, Scarlett, Harper, and Zoey. Evelyn remarked, \"(Harper is a sinner) and (if Evelyn is a saint then Harper is a saint) and (if Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 9151} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mason, Ethan, Mia, Charlotte, and Owen. Mason said, \"Mia is a sage and (Ethan is a sage if and only if Owen is a fool) and (Owen is a sage).\" \"(Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"t... | {"split": "train", "index": 9152} |
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, Daniel, Ethan, Jacob, and Sofia. Abigail stated, \"(Jacob is a laggard) or (Abigail is a pioneer or Jacob is a laggard or Ethan is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 9153} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Grace, Olivia, James, and Joseph. Alexander commented, \"it is not the case that (Olivia is a hero or Grace is a hero or Joseph is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 9154} |
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, Aurora, Elizabeth, Penelope, and Michael. Riley remarked, \"Michael is an egoist and (Michael is an altruist if and only if Elizabeth is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\... | {"split": "train", "index": 9155} |
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: Victoria, Benjamin, Riley, Aria, and Emma. \"Riley is a sinner,\" Victoria claimed. \"Victoria is a saint,\" Benjamin claimed. Riley said that (if Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"tellin... | {"split": "train", "index": 9156} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Owen, Abigail, Charlotte, Matthew, and Sofia. Owen asserted: \"Sofia is a fool\". Abigail remarked, \"(Owen is a sage or Owen is a fool) and (Owen is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-tru... | {"split": "train", "index": 9157} |
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, Ava, Victoria, and Aurora. Daniel asserted: \"(if Daniel is a hero then Victoria is a villain) or Victoria is a hero\". \"(if Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-... | {"split": "train", "index": 9158} |
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, David, Logan, Oliver, and Victoria. Penelope asserted: \"(Logan is a knight) or Oliver is a knave or (Penelope is a knight and Logan is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4],... | {"split": "train", "index": 9159} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Ava, Mia, Abigail, and Amelia. According to Luke, \"if (if Ava is a knight then Amelia is a knave) then Ava is a knight\". Ava asserted: \"(Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\"... | {"split": "train", "index": 9160} |
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: Michael, Daniel, Aria, Mia, and Owen. In Michael's words: \"it is not the case that (Owen is an egoist or Aria is an egoist or Daniel is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"or\", [\"lying\", 1]... | {"split": "train", "index": 9161} |
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, Logan, Evelyn, Victoria, and Emma. As Michael put it, \"Victoria is a laggard\". Logan commented, \"Logan is a pioneer and (Victoria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"lying\", 1]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"l... | {"split": "train", "index": 9162} |
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: Aurora, Daniel, Samuel, Ethan, and Charlotte. Aurora remarked, \"(Ethan is a devil and Ethan is an angel and Samuel is an angel) and (Charlotte is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", ... | {"split": "train", "index": 9163} |
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: David, Harper, Oliver, Logan, and Liam. David asserted: \"if (Harper is an angel) then (Harper is an angel if and only if Liam is an angel)\". Harper c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 9164} |
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: Daniel, Logan, Lucas, Abigail, and Mia. According to Daniel, \"(if Daniel is an altruist then Logan is an altruist) and (Logan is an altruist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 4], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\",... | {"split": "train", "index": 9165} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aurora, Lily, Olivia, Aiden, and Chloe. Aurora was heard saying, \"(Aiden is a sage and Chloe is a fool) or (Chloe is a fool) or (Aiden is a fool or Olivia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]... | {"split": "train", "index": 9166} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Luke, Owen, Matthew, Joseph, and Penelope. According to Luke, \"(Luke is a sage or Penelope is a sage or Joseph is a fool) if and only if (Penelope is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], ... | {"split": "train", "index": 9167} |
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: Joseph, Riley, Penelope, Aurora, and David. Joseph said that Penelope is a pioneer. Riley noted, \"Joseph is a laggard\". \"Joseph is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-t... | {"split": "train", "index": 9168} |
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, Victoria, Abigail, Jack, and Isabella. Emma stated, \"it is not the case that (Jack is a knight if and only if Jack is a knave)\". Victoria exp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"not\", ... | {"split": "train", "index": 9169} |
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: Emily, Noah, Sofia, Samuel, and Matthew. \"Emily is an angel or (Noah is an angel)\" - Emily. \"if (Sofia is a devil and Samuel is an angel) then (Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"not\", [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"<... | {"split": "train", "index": 9170} |
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: David, Ella, Abigail, Charlotte, and William. David remarked, \"if Ella is a villain then (Charlotte is a hero and William is a hero)\". As Ella put ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"not\", [\"... | {"split": "train", "index": 9171} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Henry, Elizabeth, Noah, and Joseph. \"(if Noah is a saint then Henry is a saint) if and only if Henry is a sinner,\" Oliver mentioned. \"Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 9172} |
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, Owen, Lily, Ava, and Daniel. According to Elizabeth, \"Owen is a villain\". As Owen put it, \"(Daniel is a hero and Lily is a hero and Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"or\", ... | {"split": "train", "index": 9173} |
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, Ethan, Henry, Zoey, and Mia. Victoria noted, \"it is not the case that (Ethan is an egoist and Henry is an altruist)\". As Ethan put ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3]... | {"split": "train", "index": 9174} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Jacob, Ethan, Logan, and Sofia. \"Matthew is a pioneer,\" Matthew declared. Jacob told you that if (Matthew is a laggard) then (Logan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"lying\"... | {"split": "train", "index": 9175} |
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: Grace, Lily, Sebastian, Liam, and Oliver. \"(Liam is a saint and Lily is a saint) or Oliver is a saint or (Oliver is a saint and Lily is a saint),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]],... | {"split": "train", "index": 9176} |
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: Ella, Olivia, Liam, Lily, and Jackson. Ella was heard saying, \"Olivia is a devil\". In a statement by Olivia: \"if (Liam is a devil and Ella is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]... | {"split": "train", "index": 9177} |
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, Ella, Emma, David, and Aria. In Logan's words: \"if (Emma is a devil if and only if Logan is an angel) then (Aria is a devil and David is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not... | {"split": "train", "index": 9178} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Sofia, James, Luke, and Victoria. Joseph was heard saying, \"Sofia is a knight or (Sofia is a knight and James is a knave) or (if Victoria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 2]]], [\"or\", [\"not... | {"split": "train", "index": 9179} |
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, Evelyn, Grace, Abigail, and Luke. Henry expressed that (Evelyn is a fool) if and only if (Grace is a sage and Luke is a sage and Evelyn is a sage). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"ly... | {"split": "train", "index": 9180} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Matthew, Lily, Harper, and Ava. In a statement by Aurora: \"(Lily is a knight if and only if Lily is a knave) if and only if (Matthew is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"l... | {"split": "train", "index": 9181} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, Sebastian, Avery, Victoria, and Emma. Charlotte expressed that if (Avery is a sinner or Emma is a sinner or Sebastian is a sinner) then (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [... | {"split": "train", "index": 9182} |
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, William, Lily, and Matthew. According to Ethan, \"it is not the case that (if Matthew is a laggard then Ethan is a pioneer)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"not... | {"split": "train", "index": 9183} |
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: Benjamin, Samuel, Noah, Amelia, and Lily. Benjamin told you that (if Samuel is a villain then Amelia is a hero) and (Amelia is a hero) and (Noah is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]... | {"split": "train", "index": 9184} |
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, Aria, Zoey, Luke, and Sebastian. Noah remarked, \"(Sebastian is a knave) if and only if (Luke is a knight)\". According to Aria, \"if (Luke is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"t... | {"split": "train", "index": 9185} |
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, Emily, Sofia, Joseph, and Grace. Ella commented, \"(if Grace is a knave then Emily is a knight) if and only if (Sofia is a knight or Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lyin... | {"split": "train", "index": 9186} |
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: Liam, Scarlett, Logan, William, and Sophia. Liam said that it is not the case that (Scarlett is a sinner if and only if Logan is a sinner). In Scarle... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 3], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"->\", [\"->\",... | {"split": "train", "index": 9187} |
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, Emma, Oliver, Samuel, and Lucas. Sophia expressed that (Lucas is a hero or Oliver is a villain) and (Oliver is a hero) and (Emma is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"and\",... | {"split": "train", "index": 9188} |
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: Harper, Mason, Aiden, Oliver, and Scarlett. In a statement by Harper: \"(Scarlett is a knave or Scarlett is a knight) if and only if (Mason is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 0], [\"not\", [\"not\", [\"lying\", 1]]], [\"and\... | {"split": "train", "index": 9189} |
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: Emily, Penelope, Ella, Emma, and Aria. \"Aria is a laggard,\" Emily declared. Penelope noted, \"(if Emily is a laggard then Aria is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]],... | {"split": "train", "index": 9190} |
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, Harper, Sofia, Jack, and Scarlett. Sophia asserted: \"Harper is a saint\". According to Harper, \"Jack is a saint if and only if (Sofia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 9191} |
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: Benjamin, Olivia, Samuel, Oliver, and Aria. \"(Aria is an egoist if and only if Benjamin is an altruist) and (Benjamin is an egoist),\" Benjami... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0... | {"split": "train", "index": 9192} |
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: Sofia, Abigail, Zoey, Sebastian, and Ella. Sofia noted, \"(Sebastian is an egoist) and (Abigail is an egoist and Sebastian is an altruist and Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"tellin... | {"split": "train", "index": 9193} |
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: Emily, James, Oliver, Victoria, and Michael. Emily said that it is not the case that (Oliver is an egoist and James is an altruist). James comm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3... | {"split": "train", "index": 9194} |
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, Sophia, James, Jackson, and Lily. Michael told you that (if Jackson is a sinner then James is a sinner) and (Sophia is a saint if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 9195} |
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, Harper, Joseph, Jackson, and Victoria. Elizabeth said, \"(Victoria is a fool if and only if Joseph is a fool) and (Jackson is a sage and Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 3]... | {"split": "train", "index": 9196} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Daniel, Sophia, Ava, Alexander, and Grace. Daniel said that (Grace is a pioneer if and only if Sophia is a laggard) and (if Sophia is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"lying\", 2]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 9197} |
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: Avery, David, Jacob, Evelyn, and Sofia. Avery stated, \"(Evelyn is a laggard or Jacob is a laggard or Sofia is a laggard) or (David is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 9198} |
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: Owen, Sebastian, Sophia, Elizabeth, and Olivia. Owen said that (Sebastian is an altruist or Olivia is an egoist or Sophia is an altruist) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\... | {"split": "train", "index": 9199} |
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