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 knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, William, Mia, Daniel, and Liam. As Ava put it, \"Daniel is a knight\". William noted, \"((Liam is a knight if and only if Ava is a knight) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"lying\", 2], [\"l... | {"split": "train", "index": 18900} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Riley, Jacob, Oliver, Amelia, and Chloe. Riley remarked, \"if ((Chloe is a hero) and (Jacob is a hero and Oliver is a hero and Riley is a hero)) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]... | {"split": "train", "index": 18901} |
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: Joseph, Riley, Jackson, Ethan, and Jack. According to Joseph, \"((Jack is an altruist) or (Riley is an altruist and Joseph is an altruist and J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 1], [\"tel... | {"split": "train", "index": 18902} |
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, Chloe, Samuel, Mason, and Ava. Victoria asserted: \"((Ava is a sinner if and only if Victoria is a saint) or (if Samuel is a saint then Ava... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 2], [\"tell... | {"split": "train", "index": 18903} |
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: Sofia, Noah, David, Lucas, and Aiden. Sofia was heard saying, \"Noah is an angel if and only if (Aiden is an angel or Aiden is a devil)\". \"((Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"o... | {"split": "train", "index": 18904} |
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, Matthew, Aiden, Emma, and Jackson. Isabella stated, \"if (Jackson is an angel if and only if Emma is an angel) then (if Aiden is a devil then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"lying\", 0], [\"->\", [\"->\", [\"lying\", 3], [\"and\... | {"split": "train", "index": 18905} |
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, Emma, Logan, Jacob, and Aiden. Sebastian expressed that (it is not the case that (Logan is a saint if and only if Jacob is a sinner)) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lyin... | {"split": "train", "index": 18906} |
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: Olivia, Matthew, Riley, Oliver, and David. Olivia stated, \"(if Matthew is a villain then (Oliver is a hero and Matthew is a hero and David is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 1], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], ... | {"split": "train", "index": 18907} |
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: Penelope, Scarlett, Chloe, Lucas, and David. Penelope was heard saying, \"((if Scarlett is an altruist then Lucas is an egoist) and (Lucas is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]... | {"split": "train", "index": 18908} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Ella, Joseph, Jack, and Liam. Evelyn was heard saying, \"Liam is a laggard or ((if Ella is a pioneer then Jack is a pioneer) and (Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 1]], [\"or\... | {"split": "train", "index": 18909} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Grace, Aurora, Sophia, and Benjamin. Matthew said that Grace is a sinner. Grace asserted: \"((Sophia is a sinner or Benjamin is a sinner) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"lyin... | {"split": "train", "index": 18910} |
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, James, Victoria, Owen, and Ella. Charlotte remarked, \"it is not the case that (it is not the case that (Ella is an altruist))\". \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 4]]]], [\"<=>\", [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"or... | {"split": "train", "index": 18911} |
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, Jacob, Daniel, Mia, and Sophia. \"((if Daniel is a sinner then Mia is a sinner) or Sophia is a saint or (Evelyn is a saint if and only if Mia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], ... | {"split": "train", "index": 18912} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Elizabeth, Harper, Aiden, Luke, and Riley. \"Aiden is a knight,\" Elizabeth claimed. Harper asserted: \"(it is not the case that (Luke is a knight an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 0... | {"split": "train", "index": 18913} |
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, Benjamin, Grace, Noah, and Olivia. Ava said, \"(it is not the case that (Olivia is an angel or Benjamin is an angel or Ava is an angel)) or (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-t... | {"split": "train", "index": 18914} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Oliver, David, Owen, and Ella. Mason stated, \"it is not the case that ((David is a pioneer or Oliver is a laggard) or (if Owen is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 18915} |
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, Lily, Mason, Oliver, and Sebastian. Jacob noted, \"if ((Sebastian is a sage if and only if Lily is a fool) or Oliver is a sage or (Sebastian is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"and\",... | {"split": "train", "index": 18916} |
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, Mia, Riley, Emily, and Chloe. Elizabeth was heard saying, \"(Riley is a pioneer) if and only if ((Mia is a pioneer and Chloe is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 18917} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Scarlett, Owen, Logan, and Joseph. \"((Logan is an angel if and only if William is an angel) and (Scarlett is an angel)) if and only if ((Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", ... | {"split": "train", "index": 18918} |
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, Mia, Jack, Aiden, and Joseph. Benjamin was heard saying, \"((Joseph is an altruist if and only if Jack is an egoist) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"... | {"split": "train", "index": 18919} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Logan, Sophia, Jackson, and Victoria. Amelia told you that if (it is not the case that (Jackson is an angel if and only if Jackson is a devil))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2]]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 18920} |
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, Isabella, Aria, Amelia, and Ava. \"(if (Amelia is a knave and Aria is a knight) then (Isabella is a knight if and only if Aria is a knave)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 18921} |
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, Emma, Oliver, Noah, and Harper. Michael was heard saying, \"(if (Harper is an egoist and Oliver is an egoist) then (Oliver is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1144, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling... | {"split": "train", "index": 18922} |
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, Jack, Emily, Evelyn, and Victoria. David stated, \"(Jack is a laggard if and only if (Jack is a pioneer if and only if Evelyn is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1145, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"a... | {"split": "train", "index": 18923} |
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: Aria, Grace, Owen, Mia, and Elizabeth. Aria noted, \"it is not the case that (if (Owen is a devil and Owen is an angel and Mia is a devil) then (Mia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1146, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\... | {"split": "train", "index": 18924} |
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: Lily, Alexander, Amelia, Penelope, and Avery. Lily said that ((Avery is a devil or Lily is an angel or Alexander is a devil or Amelia is an angel) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1147, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [... | {"split": "train", "index": 18925} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Amelia, Isabella, Liam, and Grace. In a statement by Matthew: \"if Matthew is a saint then (it is not the case that (Matthew is a saint and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1148, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"... | {"split": "train", "index": 18926} |
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, Emily, Mason, Owen, and Henry. \"((Mason is a sage if and only if Mason is a fool) or (Emily is a sage if and only if Henry is a sage)) or ((Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1149, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 18927} |
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, Elizabeth, Sebastian, Aurora, and Amelia. Benjamin told you that Sebastian is a villain. Elizabeth said that it is not the case that (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1150, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 4]]]], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"l... | {"split": "train", "index": 18928} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Jacob, Michael, Sofia, and Zoey. Benjamin commented, \"it is not the case that (Zoey is a knight and (Zoey is a knight or Zoey is a knave o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1151, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 18929} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Penelope, David, Alexander, and Benjamin. \"David is an altruist if and only if (it is not the case that (Alexander is an altruist or Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1152, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 4]], [\"ly... | {"split": "train", "index": 18930} |
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, Sofia, Sebastian, and Lily. \"((Sebastian is a sage and Jack is a sage) and (if Jack is a fool then Sofia is a fool) and (Sebastian is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1153, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 18931} |
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: Michael, Logan, Matthew, Amelia, and Daniel. Michael commented, \"((if Amelia is a knight then Matthew is a knight) or Logan is a knight) and ((Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1154, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth... | {"split": "train", "index": 18932} |
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, Mia, Alexander, Jack, and Chloe. \"Alexander is a sage or Mia is a sage,\" Jackson declared. Mia stated, \"if ((if Chloe is a sage then Mia is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1155, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"and... | {"split": "train", "index": 18933} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Zoey, Michael, Aria, and Abigail. According to Sebastian, \"(it is not the case that (if Zoey is an egoist then Abigail is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1156, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"ly... | {"split": "train", "index": 18934} |
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, Harper, Abigail, Sofia, and Daniel. \"if ((Sofia is a sage or Harper is a sage) or (Harper is a sage and Abigail is a fool)) then (Sofia is a sage i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1157, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]... | {"split": "train", "index": 18935} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Harper, Isabella, Aurora, and Evelyn. \"((Liam is a sage or Aurora is a fool or Harper is a fool or Aurora is a sage) if and only if (if Isabella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1158, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 3]], [\"->\", [\"->\", [\"and\... | {"split": "train", "index": 18936} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, Noah, Mia, Oliver, and Elizabeth. As Samuel put it, \"(if (Elizabeth is a hero or Mia is a hero) then (Noah is a hero)) or (Elizabeth is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1159, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\"... | {"split": "train", "index": 18937} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Grace, Benjamin, Henry, and Lily. Matthew asserted: \"((Lily is a knight if and only if Henry is a knight) or (Lily is a knave or Henry is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1160, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 3]], [\"telling... | {"split": "train", "index": 18938} |
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, Jack, Aiden, Emma, and Michael. \"if ((Zoey is a knave) or (Michael is a knave if and only if Michael is a knight) or (if Zoey is a knight then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1161, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 18939} |
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, Emily, Amelia, Jackson, and Alexander. \"it is not the case that ((Emily is a laggard or Amelia is a pioneer or Emily is a pioneer) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1162, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying... | {"split": "train", "index": 18940} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Mia, Jackson, Liam, and Aria. In Jacob's words: \"(it is not the case that (if Jackson is a devil then Mia is a devil)) or ((if Jackson is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1163, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0... | {"split": "train", "index": 18941} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Lucas, David, Lily, and Isabella. William noted, \"Lily is an angel\". \"(Lily is an angel or (William is an angel)) and ((Isabella is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1164, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 3], [\"not\", [\"lying\", 0]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 0]], [\"telling-truth\", 1], [\"->\... | {"split": "train", "index": 18942} |
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: Penelope, Joseph, Victoria, Isabella, and Sofia. According to Penelope, \"if Joseph is a fool then (if (Penelope is a sage if and only if Victoria is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1165, \"statements\": [[\"->\", [\"lying\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4]]]], [\"lying\", 0], [\"->\", ... | {"split": "train", "index": 18943} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Riley, Victoria, Aria, and Emma. \"if Victoria is a devil then ((if Riley is an angel then Aria is a devil) or (Victoria is a devil if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1166, \"statements\": [[\"->\", [\"lying\", 2], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"not\... | {"split": "train", "index": 18944} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Matthew, Sebastian, Ava, and Luke. \"Luke is a hero or ((Lily is a hero or Luke is a villain) or (Ava is a hero and Luke is a hero)) or (if (Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1167, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 18945} |
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: Abigail, Sophia, Sebastian, James, and Penelope. Abigail asserted: \"((James is a sage or Sophia is a fool or Abigail is a sage) and (Sebastian is a sage) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1168, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 4... | {"split": "train", "index": 18946} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Aria, Aurora, Elizabeth, and Logan. In James's words: \"if (if (James is an angel or Aurora is a devil or Aria is an angel or Aurora is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1169, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 3], ... | {"split": "train", "index": 18947} |
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: William, Grace, David, Aria, and Liam. \"(if (Grace is a pioneer if and only if David is a pioneer) then (David is a laggard if and only if Lia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1170, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 18948} |
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, Daniel, Henry, Emma, and Jacob. Avery was heard saying, \"(it is not the case that (Daniel is a devil)) if and only if ((Henry is an angel and D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1171, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [\"no... | {"split": "train", "index": 18949} |
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: Jackson, Alexander, Matthew, Noah, and Luke. Jackson expressed that Noah is a pioneer. According to Alexander, \"(Jackson is a laggard or (Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1172, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"lying\", 0], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"lying\", 3]], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lyi... | {"split": "train", "index": 18950} |
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: Scarlett, Mia, Noah, Jackson, and Henry. Scarlett was heard saying, \"Henry is a saint\". \"if ((Jackson is a sinner or Henry is a saint or Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1173, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 18951} |
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, Matthew, Mason, Owen, and Logan. Ava asserted: \"it is not the case that ((Logan is a sage) or Matthew is a fool or (Matthew is a fool if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1174, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"lying\", 1], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]]], [\"lying\", 4], [\"and\", [\"or\", [\"->\", [\"lying\", 0], [... | {"split": "train", "index": 18952} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Ethan, Emily, Riley, and Grace. Sebastian noted, \"if ((Grace is a sage or Emily is a sage or Emily is a fool) if and only if (if Ethan is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1175, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [... | {"split": "train", "index": 18953} |
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, Riley, Daniel, Matthew, and William. As Jack put it, \"if (if (Daniel is a knave if and only if Riley is a knave) then (Riley is a knave and Wi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1176, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 18954} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lucas, Alexander, Scarlett, Sofia, and Matthew. As Lucas put it, \"it is not the case that ((Matthew is an egoist or Matthew is an altruist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1177, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [... | {"split": "train", "index": 18955} |
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: Mia, Avery, Henry, Abigail, and Victoria. Mia commented, \"Abigail is a pioneer\". Avery said, \"(if (if Abigail is a laggard then Abigail is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1178, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 18956} |
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: Emma, David, Mia, Ella, and Alexander. Emma stated, \"Ella is a sage\". \"if Alexander is a sage then (if (Ella is a sage) then David is a sage)\" - David.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1179, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"a... | {"split": "train", "index": 18957} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Liam, Daniel, Jack, and Grace. Owen expressed that if ((if Grace is an angel then Liam is a devil) or (if Grace is an angel then Jack is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1180, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3]... | {"split": "train", "index": 18958} |
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: Avery, Harper, Charlotte, Joseph, and Mia. Avery commented, \"((Joseph is an altruist if and only if Mia is an egoist) or (Charlotte is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1181, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\"... | {"split": "train", "index": 18959} |
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: Sofia, Chloe, Lily, Ava, and James. As Sofia put it, \"Lily is a villain and ((Ava is a hero or James is a villain or Sofia is a hero or James is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1182, \"statements\": [[\"and\", [\"lying\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", ... | {"split": "train", "index": 18960} |
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: Aria, Olivia, Emma, Samuel, and Scarlett. In a statement by Aria: \"((Emma is a devil if and only if Aria is an angel) or (Aria is a devil) or (Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1183, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]... | {"split": "train", "index": 18961} |
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: Zoey, Benjamin, Olivia, Ethan, and Charlotte. Zoey remarked, \"((Ethan is a pioneer and Charlotte is a pioneer) or (Charlotte is a laggard if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1184, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"not\", [\"... | {"split": "train", "index": 18962} |
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, Jacob, Aria, Victoria, and Sebastian. According to Alexander, \"(it is not the case that (Aria is an egoist if and only if Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1185, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\",... | {"split": "train", "index": 18963} |
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, Alexander, Evelyn, Emily, and Matthew. Scarlett said that Alexander is an egoist if and only if Scarlett is an altruist. In a stateme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1186, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"-... | {"split": "train", "index": 18964} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Amelia, Michael, Aiden, and Jacob. Daniel noted, \"(Amelia is a sinner) or (Amelia is a saint) or ((Amelia is a saint) if and only if (Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1187, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"... | {"split": "train", "index": 18965} |
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: Lily, Sofia, Emma, Amelia, and Riley. Lily noted, \"it is not the case that (Sofia is a saint)\". Sofia told you that ((if Lily is a saint then Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1188, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 18966} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Noah, Abigail, Jack, Sebastian, and Chloe. Noah commented, \"Sebastian is a devil if and only if ((Jack is an angel if and only if Chloe is a devil) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1189, \"statements\": [[\"<=>\", [\"lying\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2... | {"split": "train", "index": 18967} |
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, Emma, Isabella, Benjamin, and David. According to Ava, \"it is not the case that (if (Isabella is a knave) then (Ava is a knight if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1190, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"lying\", 2], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"... | {"split": "train", "index": 18968} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Michael, Aria, Elizabeth, and Charlotte. Aiden expressed that (it is not the case that (Elizabeth is a devil or Michael is a devil)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1191, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"->\", [\... | {"split": "train", "index": 18969} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Logan, Riley, Liam, and Daniel. Sebastian said, \"((Liam is a sage if and only if Daniel is a sage) or (Liam is a sage and Daniel is a fool) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1192, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 1... | {"split": "train", "index": 18970} |
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: Aria, Liam, James, Zoey, and Logan. Aria asserted: \"James is a devil if and only if (James is a devil if and only if (Zoey is an angel if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1193, \"statements\": [[\"<=>\", [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"lying\", 3], [\"and\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"t... | {"split": "train", "index": 18971} |
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: Jackson, William, Sophia, Avery, and Charlotte. In Jackson's words: \"it is not the case that ((Avery is a hero if and only if Charlotte is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1194, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]... | {"split": "train", "index": 18972} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Ella, Jack, Ethan, and Lucas. Liam remarked, \"(if (Ella is a laggard if and only if Jack is a pioneer) then (if Liam is a pioneer then J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1195, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\", 1]]], [\"not\", [\"->\", [... | {"split": "train", "index": 18973} |
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: Abigail, Alexander, Henry, Lucas, and Ava. In a statement by Abigail: \"Lucas is a villain\". Alexander said that Alexander is a hero and (Henry is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1196, \"statements\": [[\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-t... | {"split": "train", "index": 18974} |
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: Aurora, Ella, Mia, Lucas, and Sofia. Aurora said, \"Lucas is a saint.\" \"Mia is a sinner\" - Ella. \"Sofia is a sinner\" - Mia. \"((if Mia is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1197, \"statements\": [[\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4], [\"and\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-tru... | {"split": "train", "index": 18975} |
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, Lily, Lucas, Olivia, and Abigail. Henry was heard saying, \"(Abigail is a sage if and only if (Lucas is a sage)) and ((Olivia is a fool) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1198, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [... | {"split": "train", "index": 18976} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Grace, Olivia, William, and Penelope. According to Daniel, \"((Grace is a sinner) and (William is a sinner or Penelope is a sinner or Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1199, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 1], [\"or... | {"split": "train", "index": 18977} |
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, Grace, Jackson, Avery, and Elizabeth. \"if Elizabeth is a knight then (Elizabeth is a knave if and only if (Jackson is a knave or Jackson is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1200, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 1]]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [... | {"split": "train", "index": 18978} |
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, Emily, Abigail, Aiden, and Ethan. \"if Abigail is a fool then Aiden is a sage,\" Grace declared. \"(it is not the case that (if Aiden is a sage then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1201, \"statements\": [[\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [... | {"split": "train", "index": 18979} |
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: Joseph, Grace, Penelope, Avery, and Sophia. In Joseph's words: \"((Penelope is a sage or Avery is a fool or Joseph is a sage) and (Penelope is a fool or Gr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1202, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"tell... | {"split": "train", "index": 18980} |
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: Amelia, Ethan, James, Chloe, and Michael. Amelia noted, \"(Ethan is a knight) and Chloe is a knight and Michael is a knave and ((if Chloe is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1203, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 3], [\"lying\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"->\... | {"split": "train", "index": 18981} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Olivia, Daniel, David, and Lucas. Liam noted, \"((Olivia is a pioneer if and only if David is a laggard) and (Lucas is a laggard if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1204, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\... | {"split": "train", "index": 18982} |
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: Aiden, Elizabeth, Sebastian, David, and Matthew. Aiden said that ((David is a sinner and Elizabeth is a sinner and Matthew is a sinner and Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1205, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 4]... | {"split": "train", "index": 18983} |
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: Grace, Liam, Sofia, Joseph, and Samuel. According to Grace, \"(it is not the case that (Joseph is a laggard)) or ((Sofia is a pioneer or Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1206, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]... | {"split": "train", "index": 18984} |
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: Amelia, Noah, Sofia, Mia, and Scarlett. \"((Noah is a knight if and only if Scarlett is a knave) or (Mia is a knight)) or (it is not the case that (N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1207, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling... | {"split": "train", "index": 18985} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Victoria, Lily, Alexander, and Benjamin. As Michael put it, \"((if Lily is a hero then Victoria is a hero) if and only if (Michael is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1208, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 18986} |
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, Henry, Elizabeth, Jack, and Amelia. According to Oliver, \"if (it is not the case that (if Amelia is a hero then Henry is a villain)) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1209, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"and\", [\... | {"split": "train", "index": 18987} |
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, Charlotte, Jack, Riley, and Sofia. Owen commented, \"Riley is a sage\". Charlotte said, \"((Sofia is a fool if and only if Sofia is a sage) or (Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1210, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying... | {"split": "train", "index": 18988} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Mason, Sebastian, Lily, and Alexander. \"(if Sebastian is a pioneer then Liam is a pioneer) if and only if ((Mason is a laggard or Lily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1211, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [\"telling-truth\", 0], [\"<=>... | {"split": "train", "index": 18989} |
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, Henry, Ella, Chloe, and Owen. Charlotte said, \"((Ella is an angel if and only if Charlotte is an angel) or (Ella is a devil if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1212, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"l... | {"split": "train", "index": 18990} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Emily, Joseph, Victoria, and Ella. According to Ethan, \"if ((if Joseph is a knave then Ella is a knave) or (Joseph is a knave or Ella is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1213, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"->\", [\"lyi... | {"split": "train", "index": 18991} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, William, Emma, Luke, and Evelyn. Jack noted, \"William is a pioneer and ((Emma is a laggard) or (Evelyn is a laggard or Evelyn is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1214, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]]]], [\"and\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-... | {"split": "train", "index": 18992} |
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: Mason, Amelia, Chloe, Lucas, and Victoria. \"(it is not the case that (if Amelia is an egoist then Victoria is an egoist)) if and only if ((Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1215, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"l... | {"split": "train", "index": 18993} |
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: Grace, Olivia, Benjamin, Emma, and Luke. \"it is not the case that (Olivia is a hero or (Luke is a villain) or (if Emma is a villain then Luke is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1216, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"telling-truth\", 2], [\"->\", [\"and\", [\"lying\", 4], [\"t... | {"split": "train", "index": 18994} |
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, Noah, David, Jackson, and Chloe. Mason remarked, \"(it is not the case that (Jackson is an angel and Noah is an angel)) or ((David is a devil or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1217, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth... | {"split": "train", "index": 18995} |
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: David, Elizabeth, Evelyn, Aurora, and James. David noted, \"Elizabeth is an egoist if and only if James is an altruist\". In a statement by Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1218, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 0]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]]], [\"... | {"split": "train", "index": 18996} |
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: Alexander, David, Aiden, Olivia, and Lucas. Alexander noted, \"if ((Olivia is a laggard or Olivia is a pioneer) and (Olivia is a pioneer or Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1219, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 18997} |
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, Luke, Harper, Jack, and Lily. Abigail told you that if ((Luke is a sinner or Lily is a sinner) if and only if Jack is a saint) then (it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1220, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 18998} |
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: Jack, Liam, Aiden, Noah, and Oliver. In a statement by Jack: \"if ((if Oliver is a villain then Aiden is a villain) and (Aiden is a villain or Jack i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1221, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"lyin... | {"split": "train", "index": 18999} |
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