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 angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Liam, Charlotte, Abigail, Daniel, and Harper. Liam noted, \"((Charlotte is an angel) if and only if (Daniel is an angel and Harper is a devil)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1344, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"and\", [\"and\"... | {"split": "train", "index": 16900} |
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: Sofia, Oliver, Avery, Aiden, and Sophia. Sofia expressed that Avery is a sage if and only if ((if Sophia is a fool then Oliver is a fool) or (Sofia is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1345, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"lying\", 2], [\"or\", [\"telling-tru... | {"split": "train", "index": 16901} |
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, Ava, Owen, Riley, and Zoey. Henry noted, \"(if (Ava is an altruist if and only if Ava is an egoist) then (Zoey is an altruist)) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1346, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 4]], [\"telling-truth\", 4], [\"telling-truth\", 4], [\"telling-truth\", 4], [\"->\",... | {"split": "train", "index": 16902} |
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: Riley, Jack, Lucas, Owen, and Amelia. Riley told you that if ((Jack is a pioneer and Owen is a pioneer) or (Owen is a laggard or Lucas is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1347, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2]]], [\"n... | {"split": "train", "index": 16903} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Oliver, Ava, Avery, and Luke. \"((Ava is a knight or Ava is a knave) if and only if (Luke is a knight or Avery is a knave)) if and only if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1348, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 1]]], [\"or... | {"split": "train", "index": 16904} |
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, Scarlett, Avery, Olivia, and Elizabeth. As Liam put it, \"it is not the case that (Avery is an altruist and (Scarlett is an altruist) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1349, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 16905} |
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, Aiden, Grace, Abigail, and Amelia. Jacob was heard saying, \"Grace is a sage or ((Aiden is a sage or Amelia is a sage) and (Aiden is a sage if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1350, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"->\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 16906} |
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, Elizabeth, Jack, Sophia, and James. Joseph asserted: \"((if Jack is a fool then Elizabeth is a fool) if and only if (Sophia is a sage)) or (if (Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1351, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2... | {"split": "train", "index": 16907} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Luke, William, Scarlett, and Owen. According to Oliver, \"(if (Owen is an egoist or Luke is an egoist) then Luke is an altruist) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1352, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3]... | {"split": "train", "index": 16908} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Zoey, Aurora, Riley, Noah, and Sebastian. \"Sebastian is a villain and ((Noah is a hero if and only if Aurora is a villain) if and only if (Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1353, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 16909} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Noah, Sofia, Mia, Alexander, and Matthew. In Noah's words: \"(Matthew is an egoist and (Alexander is an egoist if and only if Noah is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1354, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 1], [\"<=>\", [\"not\", [\"telling-tru... | {"split": "train", "index": 16910} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, Owen, Benjamin, Victoria, and Emily. In a statement by Jacob: \"((Emily is an egoist if and only if Owen is an egoist) if and only if (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1355, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]], [\"<=>\",... | {"split": "train", "index": 16911} |
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: Henry, David, Alexander, Lily, and Abigail. Henry was heard saying, \"Abigail is a laggard\". David told you that ((if Abigail is a laggard the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1356, \"statements\": [[\"lying\", 4], [\"<=>\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"->\", [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]],... | {"split": "train", "index": 16912} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ella, Aria, Evelyn, Daniel, and Harper. Ella noted, \"if (if (Evelyn is a sage or Daniel is a sage) then (Daniel is a sage or Evelyn is a fool)) then ((Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1357, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-tru... | {"split": "train", "index": 16913} |
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, Aiden, Ethan, Ava, and Charlotte. Logan expressed that Ava is a fool. Aiden told you that Charlotte is a fool and ((Ethan is a fool and Logan is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1358, \"statements\": [[\"lying\", 3], [\"and\", [\"lying\", 4], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"or... | {"split": "train", "index": 16914} |
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: Sophia, Mason, Aurora, Daniel, and Oliver. Sophia said, \"(it is not the case that (if Aurora is a knave then Oliver is a knave)) if and only if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1359, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [... | {"split": "train", "index": 16915} |
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, Aria, Charlotte, James, and Emma. Sofia remarked, \"Emma is a devil and ((Charlotte is an angel if and only if James is a devil) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1360, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"->\", [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-t... | {"split": "train", "index": 16916} |
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, Scarlett, Michael, Charlotte, and Ella. Henry said that ((Charlotte is an altruist if and only if Henry is an altruist) and (if Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1361, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"l... | {"split": "train", "index": 16917} |
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, Aiden, Luke, Emma, and Harper. \"(if Matthew is a pioneer then Emma is a pioneer) and ((Aiden is a pioneer and Emma is a laggard) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1362, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"or... | {"split": "train", "index": 16918} |
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, Grace, Aria, Owen, and Jack. \"Grace is a sage,\" Avery claimed. Grace told you that it is not the case that (Avery is a fool if and only if (if Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1363, \"statements\": [[\"not\", [\"lying\", 1]], [\"not\", [\"<=>\", [\"lying\", 0], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying... | {"split": "train", "index": 16919} |
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, William, Avery, Grace, and Abigail. Scarlett stated, \"if (if (Abigail is a devil and Grace is a devil and Grace is an angel) then Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1364, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 2]]]], [\"not\", [\"no... | {"split": "train", "index": 16920} |
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, Jackson, Isabella, Aria, and Olivia. Matthew said that (it is not the case that (Jackson is a knight)) or ((Matthew is a knight or Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1365, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"-... | {"split": "train", "index": 16921} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Samuel, Lily, Joseph, and Aria. Penelope was heard saying, \"Aria is a knave\". In Samuel's words: \"((Penelope is a knight) or (if Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1366, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 0]], [\"lying\", 0]], [\"telling-truth\", 4], [\"telling-truth\", 4], [... | {"split": "train", "index": 16922} |
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: Aurora, Henry, Riley, Mia, and Daniel. Aurora said that (if Mia is an altruist then Daniel is an egoist) and Daniel is an egoist and ((Mia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1367, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 4], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\"... | {"split": "train", "index": 16923} |
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, Harper, Aria, Oliver, and Sebastian. Elizabeth remarked, \"((Aria is a laggard) if and only if (Aria is a pioneer)) if and only if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]]],... | {"split": "train", "index": 16924} |
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, Lily, Michael, Lucas, and Jack. Harper expressed that (if (Harper is an angel if and only if Lily is an angel) then Jack is an angel) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1369, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"tell... | {"split": "train", "index": 16925} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Ethan, Isabella, Mason, and Lily. \"it is not the case that (it is not the case that (if Isabella is a devil then Ethan is an angel)),\" David d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1370, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 16926} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Olivia, Aiden, Logan, and Grace. In Samuel's words: \"Grace is a knight\". \"((Grace is a knight if and only if Logan is a knave) or (Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1371, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"telling-truth\", 3]], [... | {"split": "train", "index": 16927} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ella, Aria, Emily, Joseph, and Lily. Ella commented, \"((Emily is a sage and Lily is a sage) or (Lily is a sage and Joseph is a fool and Aria is a sage) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1372, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\... | {"split": "train", "index": 16928} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lucas, David, Mason, Emma, and Sophia. In Lucas's words: \"(David is an altruist) and Mason is an egoist\". David stated, \"(Lucas is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1373, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"lying\", 2]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 2]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying... | {"split": "train", "index": 16929} |
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: Joseph, James, Avery, Charlotte, and Aurora. Joseph noted, \"((Joseph is an angel and Charlotte is an angel and Charlotte is a devil) if and only if (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1374, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1]]], [\"lying\", 1]], [\"<=>\", [\"lyi... | {"split": "train", "index": 16930} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Benjamin, Oliver, Emma, and David. In Luke's words: \"(it is not the case that (Emma is an egoist or Benjamin is an egoist)) or ((if Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1375, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 16931} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Sofia, Abigail, Lucas, and Harper. Sebastian noted, \"(if (Abigail is a villain or Sofia is a villain or Lucas is a hero) then (Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1376, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"t... | {"split": "train", "index": 16932} |
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, James, Noah, Charlotte, and Aria. Oliver said that (if (if Noah is a hero then James is a villain) then (Aria is a villain)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1377, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"t... | {"split": "train", "index": 16933} |
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, Amelia, Scarlett, Aria, and Daniel. In a statement by Isabella: \"(Daniel is an angel and Scarlett is a devil and (Amelia is an angel or Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1378, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"->\"... | {"split": "train", "index": 16934} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Jackson, Sofia, Joseph, and Mason. Grace said that (it is not the case that (Sofia is a sinner and Mason is a saint and Joseph is a sinner)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1379, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]]], [\"telling-truth\", 3], [\"lying\", 4], [\... | {"split": "train", "index": 16935} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Avery, Sofia, David, and Logan. Olivia expressed that (if (if Sofia is a saint then Olivia is a saint) then (Sofia is a saint or Avery is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1380, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 16936} |
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, Evelyn, Jacob, Mason, and Jack. Chloe commented, \"it is not the case that (Jack is a fool if and only if (if Evelyn is a fool then Mason is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1381, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 1], [\"lying\", 3]]]], [\"telling-truth\", 4], [\"lying\", 1], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\... | {"split": "train", "index": 16937} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Charlotte, Avery, Isabella, Amelia, and Abigail. Charlotte noted, \"(it is not the case that (Isabella is a villain)) or ((Avery is a villain or Abig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1382, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"tel... | {"split": "train", "index": 16938} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Alexander, Mia, James, and Joseph. Emma told you that Alexander is an altruist if and only if (if (if Mia is an egoist then Emma is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1383, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 16939} |
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: Chloe, Luke, Sofia, Logan, and Penelope. Chloe said, \"(it is not the case that (Luke is an angel)) and (Penelope is a devil or (Luke is a devil or Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1384, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying... | {"split": "train", "index": 16940} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, Jacob, Aiden, Amelia, and Evelyn. As Charlotte put it, \"if (if (Amelia is a sinner if and only if Aiden is a saint) then (if Aiden is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1385, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-tr... | {"split": "train", "index": 16941} |
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, Aiden, Scarlett, David, and Ava. Elizabeth expressed that ((David is a knave) and (if Ava is a knight then Aiden is a knight)) and ((Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1386, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"<=... | {"split": "train", "index": 16942} |
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, Victoria, Joseph, Evelyn, and Abigail. As Logan put it, \"if (Abigail is a sage if and only if (Evelyn is a fool or Joseph is a fool or Victoria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1387, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [... | {"split": "train", "index": 16943} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: James, Joseph, Avery, Grace, and Owen. James remarked, \"Grace is a saint\". Joseph said, \"(it is not the case that (Avery is a saint)) and (Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"not\", [\"t... | {"split": "train", "index": 16944} |
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, Evelyn, Mason, Amelia, and Aurora. Oliver said that ((if Evelyn is a villain then Evelyn is a hero) and Mason is a villain) if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"lying\", 2], [\"or\", [\"or\", [\"->\", [\"telling-tru... | {"split": "train", "index": 16945} |
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: James, Chloe, Evelyn, Noah, and Avery. James said, \"((James is a pioneer and Avery is a laggard and Avery is a pioneer) and James is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 4]]]... | {"split": "train", "index": 16946} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Jackson, Olivia, Jack, and Joseph. James noted, \"(it is not the case that (Jack is a knave and Jack is a knight)) or (it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 16947} |
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, Michael, James, Abigail, and Zoey. Olivia noted, \"(it is not the case that (Zoey is a knight if and only if Abigail is a knave)) and ((Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"telling-truth\", 4], [\"<=>\", ... | {"split": "train", "index": 16948} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Jack, Lucas, Lily, and Elizabeth. James said, \"((Lily is a knave and Lucas is a knight and James is a knight) or (Jack is a knave and Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"->\", [\"telling-tr... | {"split": "train", "index": 16949} |
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: Jacob, Mia, Evelyn, Luke, and Emily. Jacob remarked, \"(it is not the case that (Evelyn is a saint if and only if Luke is a saint)) and (Jacob is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 16950} |
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, Scarlett, Sofia, Aiden, and James. \"it is not the case that ((Sofia is a pioneer or Liam is a pioneer or Aiden is a laggard) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 16951} |
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, Joseph, Sofia, Sophia, and Jacob. Owen stated, \"Joseph is a fool\". Joseph was heard saying, \"Owen is a fool\". \"Sophia is a sage or ((if Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"lying\", 1], [\"lying\", 0], [\"or\", [\"telling-truth\", 3], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"lying\", 3]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-tru... | {"split": "train", "index": 16952} |
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, Emily, Avery, Chloe, and Ella. Mia stated, \"(if (Avery is a pioneer) then Ella is a laggard) or Emily is a laggard or ((Ella is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"lying\", 4]], [\"lying\", 1], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"l... | {"split": "train", "index": 16953} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Riley, Charlotte, Matthew, Grace, and Henry. In Riley's words: \"if ((if Grace is a sinner then Matthew is a saint) or (Charlotte is a saint) or (Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4... | {"split": "train", "index": 16954} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Penelope, Samuel, Elizabeth, Charlotte, and Olivia. \"(if Charlotte is a laggard then (Charlotte is a pioneer and Elizabeth is a laggard)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 16955} |
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, Abigail, Avery, Joseph, and Lucas. \"(if Lucas is a fool then Lucas is a sage) if and only if (it is not the case that (if Abigail is a sage then Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"tellin... | {"split": "train", "index": 16956} |
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: Harper, Zoey, Mia, Matthew, and Emma. Harper noted, \"Zoey is an altruist\". \"Harper is an altruist,\" Zoey mentioned. Mia remarked, \"(it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 0], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1]], [... | {"split": "train", "index": 16957} |
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, William, Liam, James, and Grace. \"if (if (William is a sage) then (Grace is a sage or William is a fool)) then ((James is a sage or William is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-tr... | {"split": "train", "index": 16958} |
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: Alexander, Liam, Emma, Matthew, and Grace. Alexander commented, \"(if (Matthew is a saint or Liam is a saint) then (if Liam is a saint then Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"lying\", 2], [\"tellin... | {"split": "train", "index": 16959} |
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: Isabella, Liam, Logan, Victoria, and Luke. Isabella said that it is not the case that ((Victoria is a laggard) or (Isabella is a pioneer or Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"<=>\", [\"lying\... | {"split": "train", "index": 16960} |
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, Mason, Riley, David, and Joseph. Alexander expressed that it is not the case that ((David is a knave and Mason is a knight and Joseph is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"->\", [\"->\", [\"tellin... | {"split": "train", "index": 16961} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Owen, Zoey, David, Aria, and Benjamin. As Owen put it, \"if (David is an altruist and (Aria is an egoist and Zoey is an altruist and Owen is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 3]... | {"split": "train", "index": 16962} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Alexander, Ella, Mia, and Elizabeth. Charlotte asserted: \"((if Alexander is a laggard then Alexander is a pioneer) and (Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"->\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]]... | {"split": "train", "index": 16963} |
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, Abigail, Logan, Riley, and Scarlett. Ethan expressed that Abigail is a saint or ((Riley is a saint) if and only if (if Riley is a sinner then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"or\", [\"lying\", ... | {"split": "train", "index": 16964} |
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, Daniel, Matthew, Aiden, and Abigail. \"((if Aiden is a hero then Matthew is a villain) and Michael is a hero) and ((if Aiden is a villain th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 0]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]]], [\"lying\", 0], [\"<... | {"split": "train", "index": 16965} |
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, Mason, Joseph, Matthew, and Isabella. In Penelope's words: \"it is not the case that ((Mason is an altruist if and only if Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\... | {"split": "train", "index": 16966} |
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, Emily, Henry, Oliver, and Ethan. Chloe remarked, \"Henry is an egoist\". Emily told you that ((Henry is an egoist and Emily is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"lying\", 2], [\"<=>\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 16967} |
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, Owen, Oliver, Mason, and Ethan. Jackson said that if Oliver is a fool then ((Oliver is a fool if and only if Mason is a sage) and (Ethan is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"l... | {"split": "train", "index": 16968} |
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, Benjamin, Mason, Elizabeth, and Joseph. In a statement by Jackson: \"it is not the case that ((Elizabeth is an egoist if and only if M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 3], [\"->\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]... | {"split": "train", "index": 16969} |
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, Luke, Sebastian, Penelope, and Sophia. \"it is not the case that ((Penelope is a saint and Sebastian is a saint and Sophia is a saint) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 16970} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Jackson, Mason, Sofia, and Penelope. Abigail asserted: \"Jackson is a knave\". In Jackson's words: \"it is not the case that (if (Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]]], [\"lying\", 3], [\"not\", [\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 4]]... | {"split": "train", "index": 16971} |
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, Aiden, Zoey, Olivia, and David. Abigail commented, \"((Aiden is a fool if and only if Aiden is a sage) and (Olivia is a fool or Abigail is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\... | {"split": "train", "index": 16972} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Ava, Logan, Jack, and Abigail. \"Logan is a sinner or ((Michael is a saint and Abigail is a saint and Ava is a sinner) and (Abigail is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"or\", [\"lying\", 2], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 16973} |
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: Mia, Olivia, Sebastian, Sofia, and Penelope. Mia was heard saying, \"it is not the case that ((Sofia is a devil and Sofia is an angel and Sebastian is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 16974} |
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, Scarlett, William, Sofia, and Matthew. Logan told you that Matthew is a devil. Scarlett expressed that if (it is not the case that (Sofia is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 0]]]], [\"lying\", 3], [\"or\", [\"or\", [\"... | {"split": "train", "index": 16975} |
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, Daniel, William, James, and Henry. Ella asserted: \"it is not the case that (it is not the case that (Ella is a saint if and only if William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"->\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"and\... | {"split": "train", "index": 16976} |
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, Jack, Elizabeth, Isabella, and Sebastian. \"(Sebastian is a villain and (Sebastian is a hero or Isabella is a hero or Elizabeth is a hero)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"not\", [\"->\", [\"n... | {"split": "train", "index": 16977} |
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, William, Sebastian, David, and Jacob. \"((William is an angel) and (Jacob is an angel) and (Jacob is a devil or William is an angel)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [... | {"split": "train", "index": 16978} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, James, Lily, Ava, and Sophia. Mia expressed that (if Ava is a villain then (Lily is a hero or James is a villain)) and (Lily is a hero) and ((So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"lying\", 2]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]]], [... | {"split": "train", "index": 16979} |
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, Elizabeth, Sophia, Michael, and Oliver. According to Aiden, \"Aiden is an angel and (if (if Elizabeth is an angel then Aiden is an angel) then O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"->\... | {"split": "train", "index": 16980} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Chloe, Riley, Charlotte, and David. \"Chloe is a sage\" - William. Chloe commented, \"if ((William is a fool if and only if David is a sage) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 16981} |
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, Abigail, William, Harper, and Henry. Victoria asserted: \"if (Henry is a sage) then ((if Henry is a fool then Victoria is a sage) and (Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"... | {"split": "train", "index": 16982} |
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: Ethan, David, Jackson, Logan, and Zoey. As Ethan put it, \"it is not the case that ((Zoey is an altruist if and only if Zoey is an egoist) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4],... | {"split": "train", "index": 16983} |
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: Isabella, Victoria, Grace, Olivia, and Harper. Isabella expressed that Victoria is a pioneer. Victoria expressed that ((Isabella is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 0]], \"solu... | {"split": "train", "index": 16984} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Michael, Emma, Ella, and Grace. Aria stated, \"it is not the case that ((Grace is a laggard or Michael is a laggard or Emma is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"not\", ... | {"split": "train", "index": 16985} |
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, Penelope, Matthew, Harper, and Lily. Logan said, \"(it is not the case that (Matthew is a sage and Matthew is a fool)) or ((Harper is a sage if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"telling-truth\", 1... | {"split": "train", "index": 16986} |
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, Lily, Victoria, Ethan, and Emily. Jackson commented, \"Ethan is a villain or Emily is a hero\". \"(Jackson is a villain or Victoria is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], ... | {"split": "train", "index": 16987} |
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, Emily, Samuel, Aria, and Aiden. Harper told you that if ((if Aria is a knight then Aiden is a knave) or (Aria is a knave if and only if Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"lying\", 1]], [\"telling-truth\", 2], ... | {"split": "train", "index": 16988} |
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, Olivia, Aria, Jack, and Harper. \"(if (Harper is a knight or Aria is a knight) then (Olivia is a knight and Jack is a knave)) and (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"... | {"split": "train", "index": 16989} |
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, Samuel, Isabella, Harper, and Emily. Sebastian noted, \"(Harper is a saint) if and only if ((Isabella is a sinner or Samuel is a saint or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3... | {"split": "train", "index": 16990} |
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: Samuel, Victoria, Michael, David, and Aiden. In a statement by Samuel: \"Victoria is a devil\". In a statement by Victoria: \"((Samuel is an angel or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"tell... | {"split": "train", "index": 16991} |
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: Samuel, Harper, Liam, Aiden, and Owen. In a statement by Samuel: \"(Samuel is an egoist) if and only if Liam is an egoist\". As Harper put it, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 2]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]... | {"split": "train", "index": 16992} |
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, Lucas, Noah, and Mia. \"((Mia is a knight or Emily is a knave or Lucas is a knight) and (Mia is a knave if and only if Noah is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]],... | {"split": "train", "index": 16993} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Riley, Scarlett, Oliver, Grace, and Penelope. Riley told you that (if (Scarlett is an altruist if and only if Grace is an altruist) then (Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"te... | {"split": "train", "index": 16994} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Emily, Joseph, Luke, and Mason. As Sebastian put it, \"if Joseph is a villain then ((Joseph is a hero or Luke is a villain) and (Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 3]], [\"<... | {"split": "train", "index": 16995} |
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: Grace, Lily, Joseph, Ethan, and Chloe. Grace said that ((Lily is an angel if and only if Ethan is a devil) and (Grace is an angel or Lily is an angel o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\... | {"split": "train", "index": 16996} |
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, Alexander, Evelyn, Victoria, and Aurora. Jacob expressed that ((if Aurora is an angel then Alexander is an angel) and (Evelyn is a devil if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\... | {"split": "train", "index": 16997} |
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, Ava, Jack, Harper, and Zoey. Sophia remarked, \"it is not the case that (if (Zoey is a villain if and only if Sophia is a hero) then (Zoey is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", ... | {"split": "train", "index": 16998} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Riley, Ava, Jacob, Owen, and Jack. In Riley's words: \"it is not the case that (if (Jack is an egoist if and only if Riley is an altruist) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 16999} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.