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 heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Noah, Alexander, Michael, and Ella. \"(Michael is a hero and (if Michael is a hero then Ella is a villain) and (Ella is a hero if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1244, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth... | {"split": "train", "index": 16800} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, William, Michael, Logan, and Amelia. \"it is not the case that (Michael is an egoist and (Amelia is an altruist if and only if Amelia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1245, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3]]]], [\"and\", [\"and\", [\"->\", [\"telling... | {"split": "train", "index": 16801} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Harper, Penelope, Charlotte, Riley, and Mason. Harper expressed that Mason is an angel. \"(if (Harper is a devil) then (if Riley is a devil then Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1246, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 16802} |
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, Penelope, Samuel, Victoria, and Alexander. \"((Penelope is a knight or Victoria is a knight) if and only if Samuel is a knave) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1247, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 2]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]... | {"split": "train", "index": 16803} |
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, Avery, Noah, and Oliver. Luke said, \"((Avery is a knave) or (Avery is a knight or Ella is a knight or Luke is a knight) or (Oliver is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1248, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 2]], [\"tell... | {"split": "train", "index": 16804} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Sebastian, Aria, David, and Luke. \"it is not the case that (David is an egoist if and only if (Chloe is an altruist if and only if Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1249, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"->\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", ... | {"split": "train", "index": 16805} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Sofia, Luke, Chloe, and Avery. Sebastian said that ((if Sebastian is a knight then Sofia is a knave) if and only if (Sofia is a knave)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1250, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"lying\", 1], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4]]], [\"-... | {"split": "train", "index": 16806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Aria, Ethan, Emily, and Jackson. \"it is not the case that (it is not the case that (if Emily is a knight then Ethan is a knave)),\" Riley dec... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1251, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 16807} |
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, Matthew, Luke, Noah, and Avery. William was heard saying, \"((if Avery is a laggard then William is a pioneer) or Matthew is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1252, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 1], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1],... | {"split": "train", "index": 16808} |
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, Liam, Avery, Victoria, and Mason. Lily said that Liam is an egoist. In Liam's words: \"if ((if Lily is an egoist then Avery is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1253, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"telling-trut... | {"split": "train", "index": 16809} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Avery, Ethan, Riley, Evelyn, and Lucas. Avery said that ((Lucas is a fool) or (Riley is a sage and Ethan is a fool) or (Ethan is a sage)) and Avery is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1254, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-trut... | {"split": "train", "index": 16810} |
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, Scarlett, Victoria, Jacob, and William. Lily expressed that ((William is a hero and Scarlett is a hero and Lily is a hero) if and only if (Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1255, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 16811} |
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: Luke, Daniel, Sofia, Victoria, and Aria. \"if ((Daniel is a saint) and (if Aria is a saint then Victoria is a saint) and (Victoria is a sinner and Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1256, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"l... | {"split": "train", "index": 16812} |
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, Victoria, Mia, Sebastian, and Olivia. Logan asserted: \"if ((Olivia is a devil and Olivia is an angel) or (Victoria is a devil)) then (if (if Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1257, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 16813} |
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, Ella, Emily, Ava, and Riley. Henry stated, \"Ella is an altruist\". Ella asserted: \"((if Ella is an altruist then Ava is an egoist) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1258, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 16814} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Sebastian, William, Isabella, and Logan. Olivia stated, \"(it is not the case that (Sebastian is a knight or Logan is a knave or William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1259, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"<=>\", [... | {"split": "train", "index": 16815} |
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: Ethan, Sofia, Liam, Jack, and Aurora. Ethan told you that it is not the case that ((Ethan is a sage or Aurora is a fool or Liam is a fool) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1260, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [... | {"split": "train", "index": 16816} |
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, Ethan, Alexander, Luke, and Harper. \"if (it is not the case that (Ava is a knave)) then (it is not the case that (Harper is a knight if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1261, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"and\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]],... | {"split": "train", "index": 16817} |
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, Jack, Lucas, Abigail, and Olivia. Penelope was heard saying, \"it is not the case that (Abigail is a sage if and only if Olivia is a fool)\". Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1262, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3... | {"split": "train", "index": 16818} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Alexander, Aria, Logan, and Jack. Isabella stated, \"((Jack is an egoist and Alexander is an egoist) and (Logan is an egoist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1263, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], ... | {"split": "train", "index": 16819} |
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, Matthew, Alexander, Harper, and David. \"(it is not the case that (if Alexander is a fool then Harper is a sage)) if and only if ((Matthew is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1264, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 4], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"... | {"split": "train", "index": 16820} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, Sophia, Mason, Penelope, and Sofia. Isabella expressed that (it is not the case that (Sofia is a sinner if and only if Penelope is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1265, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-... | {"split": "train", "index": 16821} |
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, Harper, Sophia, Emily, and Aiden. Henry asserted: \"(Harper is a knave) and (if (Aiden is a knight) then (if Aiden is a knave then Harper is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1266, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 2], [\"tellin... | {"split": "train", "index": 16822} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Samuel, Benjamin, Logan, and Avery. Luke commented, \"(it is not the case that (if Logan is a laggard then Avery is a pioneer)) and ((Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1267, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"telling-truth\", 0], [\... | {"split": "train", "index": 16823} |
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: Scarlett, Benjamin, Luke, Sofia, and Harper. As Scarlett put it, \"((Sofia is a devil) and Harper is a devil) if and only if (Harper is a devil or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1268, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]]], [\"or\", [\"or\", [... | {"split": "train", "index": 16824} |
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, Henry, Lucas, Joseph, and Aurora. Benjamin stated, \"(if (Joseph is a laggard and Henry is a pioneer and Joseph is a pioneer) then (H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1269, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]... | {"split": "train", "index": 16825} |
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, James, Abigail, Benjamin, and Aiden. Mia said, \"if ((Mia is a sinner) if and only if Aiden is a saint) then ((Abigail is a sinner and Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1270, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 1]]]], [\"not\", [\"or\",... | {"split": "train", "index": 16826} |
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: Aria, Emily, Ethan, Zoey, and Aiden. Aria was heard saying, \"it is not the case that ((Aiden is an altruist and Ethan is an egoist) or (Ethan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1271, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\... | {"split": "train", "index": 16827} |
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, William, Emily, Michael, and Lily. Elizabeth said that William is a hero. William was heard saying, \"(if Elizabeth is a villain then (Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1272, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"lying\", 0], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"telling... | {"split": "train", "index": 16828} |
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, David, Riley, Lily, and Chloe. In a statement by Matthew: \"if Chloe is a pioneer then ((David is a laggard or Matthew is a pioneer) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1273, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-tru... | {"split": "train", "index": 16829} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Jackson, Harper, Owen, and Aria. \"Harper is a villain,\" Ava claimed. As Jackson put it, \"((Ava is a hero or Aria is a hero or Aria is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1274, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 4]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"and... | {"split": "train", "index": 16830} |
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, Ella, Mia, Henry, and Scarlett. Jack noted, \"it is not the case that ((if Ella is a saint then Mia is a sinner) or (Henry is a sinner and Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1275, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"lying\", 0], [\"not\", [\"ly... | {"split": "train", "index": 16831} |
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: Logan, Harper, Amelia, Michael, and Evelyn. Logan stated, \"if Evelyn is a hero then (if (Harper is a hero if and only if Michael is a hero) then (Am... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1276, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"<=... | {"split": "train", "index": 16832} |
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, Penelope, Ella, Charlotte, and Aurora. \"(Logan is an angel or (if Penelope is a devil then Ella is an angel)) or ((Aurora is an angel or Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1277, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], ... | {"split": "train", "index": 16833} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Chloe, Charlotte, Jackson, Henry, and Ella. Chloe said, \"it is not the case that ((Henry is a pioneer) and (Charlotte is a pioneer and Charlot... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1278, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\... | {"split": "train", "index": 16834} |
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, Jacob, Elizabeth, William, and Ella. In a statement by Sophia: \"((Sophia is a villain) or (Elizabeth is a hero or William is a villain or El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1279, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"l... | {"split": "train", "index": 16835} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ella, Zoey, Elizabeth, Abigail, and Isabella. Ella asserted: \"((Elizabeth is an egoist) if and only if (Abigail is an egoist and Isabella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1280, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 16836} |
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, Daniel, Henry, Riley, and Benjamin. Grace noted, \"Henry is a fool\". Daniel told you that (it is not the case that (Henry is a sage if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1281, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\",... | {"split": "train", "index": 16837} |
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, Michael, Logan, Oliver, and Mason. Matthew remarked, \"(if (Mason is a devil or Mason is an angel) then Michael is a devil) if and only if ((O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1282, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 16838} |
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, Joseph, Emily, Abigail, and Jack. According to Owen, \"it is not the case that ((Abigail is an angel) if and only if (Joseph is a devil and Jack ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1283, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\",... | {"split": "train", "index": 16839} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Chloe, Grace, Lily, and Luke. Victoria remarked, \"(it is not the case that (if Lily is an angel then Grace is an angel)) if and only if Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1284, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 16840} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Owen, Harper, Joseph, and Sebastian. \"(Sebastian is an egoist) if and only if (it is not the case that (if Harper is an egoist then Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1285, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]... | {"split": "train", "index": 16841} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Riley, Scarlett, Avery, and Evelyn. Amelia was heard saying, \"((Scarlett is a pioneer and Riley is a laggard) if and only if (if Riley... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1286, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 16842} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Avery, Lucas, Amelia, and Emily. Joseph remarked, \"it is not the case that ((if Avery is a hero then Joseph is a hero) or (Avery is a hero i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1287, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 16843} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Matthew, Victoria, Aiden, and Alexander. \"Victoria is a sinner\" - Emily. \"(it is not the case that (Emily is a saint)) or Emily is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1288, \"statements\": [[\"lying\", 2], [\"or\", [\"not\", [\"not\", [\"lying\", 0]]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 3], [\"-... | {"split": "train", "index": 16844} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Joseph, Mason, Victoria, and James. \"it is not the case that ((Victoria is an angel) or (Joseph is a devil if and only if Victoria is a devil) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1289, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4], ... | {"split": "train", "index": 16845} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, William, Noah, Aiden, and Ella. In a statement by Ava: \"(Ella is a hero if and only if (William is a hero or Aiden is a villain or William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1290, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-t... | {"split": "train", "index": 16846} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Chloe, Jackson, Aria, and Grace. In Emily's words: \"it is not the case that ((Grace is a knight) or (Jackson is a knight or Aria is a knave))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1291, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 16847} |
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, Elizabeth, Zoey, Mason, and Daniel. According to Emily, \"Zoey is an egoist\". In Elizabeth's words: \"(if (Mason is an egoist and Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1292, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"t... | {"split": "train", "index": 16848} |
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, Jack, Liam, James, and Zoey. Elizabeth noted, \"if (Jack is a fool if and only if (James is a sage and Liam is a fool)) then (it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1293, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]]]], [\"and\", [\"or\", [\"->\", [... | {"split": "train", "index": 16849} |
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, Charlotte, Luke, Jackson, and Aurora. \"((Aurora is a knight if and only if Luke is a knight) or (Jackson is a knave and Aurora is a knight a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1294, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"o... | {"split": "train", "index": 16850} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Isabella, Penelope, Chloe, and Ava. Oliver was heard saying, \"if ((Chloe is a laggard) if and only if (Chloe is a laggard and Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1295, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\",... | {"split": "train", "index": 16851} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Sebastian, Jacob, Noah, and Henry. Chloe told you that if Jacob is a fool then (it is not the case that (Jacob is a fool or Noah is a sage or Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1296, \"statements\": [[\"->\", [\"lying\", 2], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]]]], [\"lying\", 2], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 16852} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Olivia, Jackson, Ella, and Penelope. According to Aiden, \"it is not the case that ((if Ella is a knight then Olivia is a knight) or (Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1297, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]]],... | {"split": "train", "index": 16853} |
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, Elizabeth, Harper, Alexander, and Mia. In Amelia's words: \"(if (if Harper is a knight then Mia is a knave) then (Harper is a knave if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1298, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-t... | {"split": "train", "index": 16854} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, William, Sofia, Matthew, and Mason. Alexander expressed that if (it is not the case that (Matthew is a knave)) then (Matthew is a knight o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1299, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 3], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 4], [\"or\", [\"tellin... | {"split": "train", "index": 16855} |
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, Evelyn, David, Olivia, and William. \"Olivia is a pioneer,\" Ella mentioned. Evelyn said, \"Olivia is a pioneer or ((Evelyn is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1300, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 16856} |
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: Owen, Ava, William, Isabella, and Noah. \"(it is not the case that (Owen is a pioneer and Isabella is a pioneer)) or (it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1301, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"... | {"split": "train", "index": 16857} |
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: Scarlett, Lily, Ethan, Zoey, and Ava. Scarlett commented, \"Zoey is a knave\". In a statement by Lily: \"((Scarlett is a knight or Lily is a knight o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1302, \"statements\": [[\"lying\", 3], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"telling-truth\", 0], [\"and\", [\"lyin... | {"split": "train", "index": 16858} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Amelia, Lily, Aurora, and Lucas. James said, \"((if Aurora is a hero then James is a hero) and Amelia is a hero and (Lily is a hero if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1303, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 4]... | {"split": "train", "index": 16859} |
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, Jack, Lily, Charlotte, and Liam. Michael was heard saying, \"if ((if Lily is a laggard then Jack is a laggard) or (Charlotte is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1304, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 3]... | {"split": "train", "index": 16860} |
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: Elizabeth, Jack, Noah, Mia, and Isabella. Elizabeth commented, \"it is not the case that (if Noah is an egoist then Elizabeth is an altruist)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1305, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"not\", [\"lying\", 0]], [\"not\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 16861} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Charlotte, Jackson, Daniel, and Aiden. In Ella's words: \"((Aiden is a sinner) and (Jackson is a sinner) and Jackson is a saint) and ((Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1306, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"->\"... | {"split": "train", "index": 16862} |
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: Scarlett, Sofia, Luke, Mia, and Emily. \"if ((Mia is a pioneer or Emily is a pioneer or Mia is a laggard) or (if Emily is a pioneer then Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1307, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lyin... | {"split": "train", "index": 16863} |
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, Aiden, Daniel, Jackson, and Zoey. In a statement by Michael: \"if (it is not the case that (Jackson is a knave and Aiden is a knave)) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1308, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]... | {"split": "train", "index": 16864} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Ella, David, Lily, and Avery. Aiden asserted: \"Lily is a knave\". \"(if Aiden is a knight then (Ella is a knight or Lily is a knight)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1309, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"->\", [\"->\", [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 16865} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Owen, Jack, David, James, and Oliver. \"Oliver is a villain and (if (James is a villain or Jack is a hero or Jack is a villain) then (Oliver is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3]]]], [\"or\", [\"and\", [\"telling-tru... | {"split": "train", "index": 16866} |
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: Victoria, Avery, Ethan, Aria, and Sofia. \"if (if (Avery is a fool) then Sofia is a sage) then (it is not the case that (Ethan is a sage or Avery is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"tell... | {"split": "train", "index": 16867} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Jack, Logan, Lucas, and Harper. Sebastian was heard saying, \"it is not the case that ((Logan is a knave and Harper is a knave) or (if Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 3]]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\... | {"split": "train", "index": 16868} |
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, Riley, Matthew, Benjamin, and Aria. Aurora was heard saying, \"(it is not the case that (Benjamin is a knave or Riley is a knight or Riley is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"n... | {"split": "train", "index": 16869} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, Jackson, Mia, William, and Daniel. Oliver commented, \"Mia is a pioneer and ((Mia is a laggard and Daniel is a laggard) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 4]], [\"->\", [\"->\", [\"<=>... | {"split": "train", "index": 16870} |
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, Matthew, Daniel, Elizabeth, and Sofia. Aria told you that ((if Elizabeth is an angel then Daniel is a devil) and (Sofia is an angel and Matthew i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1... | {"split": "train", "index": 16871} |
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, Ella, Jacob, Samuel, and Riley. In a statement by Henry: \"it is not the case that (Samuel is a fool if and only if (Henry is a sage and Samuel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"and\", [\"telling-truth\", 0], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 0]]]], [\... | {"split": "train", "index": 16872} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Ella, Penelope, Isabella, and Harper. \"((Penelope is a knave or Isabella is a knave or Ella is a knight) if and only if (Oliver is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 16873} |
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, Alexander, Aurora, Joseph, and Michael. According to Jack, \"it is not the case that (if (Michael is a saint) then (Michael is a sinner or Jose... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 1]]]], [\"not\", [\"lying\", 2]], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 16874} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Oliver, Ella, Jacob, and Avery. \"(if (Avery is a villain) then (if Avery is a hero then Oliver is a villain)) and (if Oliver is a villain th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"... | {"split": "train", "index": 16875} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Liam, Michael, Sofia, Joseph, and Lucas. In a statement by Liam: \"(if Lucas is an egoist then (Michael is an altruist and Michael is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 4], [\"->\", [\"lying\", 2], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]]]... | {"split": "train", "index": 16876} |
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, Zoey, Amelia, Victoria, and Jacob. \"it is not the case that (it is not the case that (Zoey is an altruist and Zoey is an egoist)),\" Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], ... | {"split": "train", "index": 16877} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jackson, Elizabeth, Olivia, Henry, and Joseph. \"Elizabeth is an altruist,\" Jackson declared. Elizabeth stated, \"(it is not the case that (El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1322, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 3]], ... | {"split": "train", "index": 16878} |
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, Aurora, Amelia, and Avery. Ava said that Amelia is a fool. Sofia was heard saying, \"if ((Ava is a fool or Amelia is a sage or Avery is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1323, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [... | {"split": "train", "index": 16879} |
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: Jack, Joseph, Zoey, Sebastian, and Ella. Jack stated, \"it is not the case that ((if Zoey is a devil then Ella is an angel) or (if Ella is an angel the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1324, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 4]]]], [\"lying\", 4], [\"or\", [\"not\", [\"ly... | {"split": "train", "index": 16880} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jacob, Aurora, Olivia, Liam, and Evelyn. According to Jacob, \"it is not the case that (it is not the case that (Liam is a laggard and Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1325, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [... | {"split": "train", "index": 16881} |
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: Olivia, Logan, Scarlett, Avery, and Ella. Olivia told you that Avery is a sage and ((Logan is a sage and Avery is a sage and Scarlett is a fool) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1326, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"<=>\", [\"and\", [\"<=>\", [... | {"split": "train", "index": 16882} |
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: Scarlett, Owen, Noah, Charlotte, and Matthew. According to Scarlett, \"((Noah is a villain or Scarlett is a hero) or (if Owen is a hero then Matthew ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1327, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 3]]... | {"split": "train", "index": 16883} |
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, Liam, Elizabeth, Sofia, and Grace. According to Sebastian, \"if ((if Elizabeth is an egoist then Sebastian is an altruist) or (if Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1328, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth... | {"split": "train", "index": 16884} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Riley, Liam, Harper, and William. \"if ((William is a saint) or (Ethan is a saint if and only if William is a saint) or (Liam is a saint if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1329, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 16885} |
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, Charlotte, Alexander, Owen, and Jackson. Elizabeth told you that it is not the case that (Charlotte is a villain and Owen is a hero and (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1330, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 16886} |
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: Isabella, Michael, Logan, Liam, and Henry. Isabella expressed that if ((Liam is a knight or Henry is a knave) or (Liam is a knight) or (Logan is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1331, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4... | {"split": "train", "index": 16887} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Noah, Samuel, Mason, William, and Amelia. Noah told you that it is not the case that ((Amelia is a sage or Noah is a sage or Amelia is a fool) or (Samuel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1332, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 1]]]], [\"->\", [\"or\", [\"te... | {"split": "train", "index": 16888} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Sofia, Jackson, Matthew, and Zoey. As Grace put it, \"(if Matthew is a knight then (if Sofia is a knave then Sofia is a knight)) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1333, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"tell... | {"split": "train", "index": 16889} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Daniel, Henry, Abigail, and Charlotte. \"Abigail is a fool,\" Oliver declared. Daniel said that Henry is a fool. In a statement by Henry: \"Charlot... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1334, \"statements\": [[\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 16890} |
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, Mia, Jackson, Ella, and Luke. In a statement by Sophia: \"it is not the case that (if (Ella is a sinner or Luke is a saint or Mia is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1335, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"->... | {"split": "train", "index": 16891} |
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, Emily, Joseph, Riley, and James. \"it is not the case that ((Emily is a pioneer or Emily is a laggard) and (if Joseph is a laggard then J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1336, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"... | {"split": "train", "index": 16892} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Grace, Emma, Avery, Jack, and Ella. Grace commented, \"it is not the case that (if (if Avery is a knight then Avery is a knave) then (Jack is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1337, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4]]]], [\"telling-truth\", 3], [\"lying\", 4], [\"and\", [\"->\", [\"lyi... | {"split": "train", "index": 16893} |
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, Logan, Aiden, Joseph, and Abigail. \"Aiden is a hero,\" Daniel claimed. According to Logan, \"((if Daniel is a hero then Joseph is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1338, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"ly... | {"split": "train", "index": 16894} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Abigail, Olivia, Mia, and Samuel. \"(Olivia is a saint) and ((Abigail is a saint or Mia is a saint or Samuel is a sinner) and (Olivia is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1339, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 16895} |
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, Isabella, Penelope, Sofia, and Evelyn. In Jackson's words: \"(Penelope is a pioneer if and only if (Penelope is a laggard)) and (Penel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1340, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"and\", [\... | {"split": "train", "index": 16896} |
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, Logan, Ava, Oliver, and Aria. Aurora told you that if ((if Ava is a devil then Oliver is an angel) if and only if (if Aria is a devil then Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1341, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 16897} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Samuel, Ava, Aiden, Chloe, and Lucas. Samuel said that Lucas is a laggard or ((Chloe is a pioneer if and only if Ava is a pioneer) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1342, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 2]], [\... | {"split": "train", "index": 16898} |
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: Scarlett, Chloe, Victoria, Jacob, and Mia. According to Scarlett, \"(Mia is a knight or (Mia is a knave or Scarlett is a knight or Victoria is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1343, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth... | {"split": "train", "index": 16899} |
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