data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Chloe, Mason, Aurora, and Ethan. According to Jackson, \"(it is not the case that (Ethan is a pioneer and Aurora is a laggard)) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1166, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"not\... | {"split": "train", "index": 14500} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Elizabeth, Jacob, Samuel, and Chloe. Logan commented, \"Jacob is a knight\". Elizabeth expressed that Chloe is a knight. \"it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1167, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 4], [\"not\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]]]], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\",... | {"split": "train", "index": 14501} |
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, Joseph, Jackson, Lucas, and Alexander. Olivia stated, \"Lucas is a knight\". Joseph expressed that Olivia is a knave. Jackson noted, \"if (it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1168, \"statements\": [[\"telling-truth\", 3], [\"lying\", 0], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth... | {"split": "train", "index": 14502} |
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: Aria, Sophia, Owen, Scarlett, and William. Aria told you that ((Owen is a hero if and only if Sophia is a hero) and (Owen is a hero)) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1169, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]]... | {"split": "train", "index": 14503} |
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, Aiden, David, Sofia, and Mia. Penelope expressed that Sofia is a pioneer if and only if ((David is a laggard if and only if Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1170, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 14504} |
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: Evelyn, Mia, Michael, Emily, and William. Evelyn remarked, \"William is a villain\". Mia expressed that it is not the case that (Emily is a hero if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1171, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"lying\", 0]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 14505} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Michael, Zoey, Harper, Jacob, and Charlotte. Michael told you that (Zoey is an altruist) or (if (Zoey is an altruist and Harper is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1172, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3... | {"split": "train", "index": 14506} |
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: Sebastian, Lucas, Avery, Jack, and Chloe. As Sebastian put it, \"((Lucas is a laggard or Sebastian is a pioneer) and (Avery is a laggard or Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1173, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"l... | {"split": "train", "index": 14507} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Joseph, Aria, Jackson, and Liam. In a statement by Charlotte: \"(it is not the case that (Jackson is an altruist)) or (it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1174, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"lyi... | {"split": "train", "index": 14508} |
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, Michael, Elizabeth, Mia, and Charlotte. As Emily put it, \"((if Charlotte is an altruist then Elizabeth is an egoist) and (Elizabeth is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1175, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 2]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 14509} |
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, Amelia, Noah, James, and Riley. As Ava put it, \"(if Amelia is a sage then (if Noah is a sage then Ava is a sage)) and (it is not the case that (James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1176, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and\", [\"and\", [\"<=>\", ... | {"split": "train", "index": 14510} |
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, Jackson, Abigail, Lucas, and Ella. Ethan was heard saying, \"if (if (Jackson is an egoist and Lucas is an altruist) then (if Lucas is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1177, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 3]]]], [\... | {"split": "train", "index": 14511} |
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: Sebastian, Oliver, Benjamin, Sophia, and Lily. Sebastian said that (if Sophia is an angel then (Sophia is a devil and Lily is a devil)) or Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1178, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"lying\", 2]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-... | {"split": "train", "index": 14512} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Elizabeth, Aurora, Aria, and Jack. \"Elizabeth is a knight,\" Benjamin claimed. In Elizabeth's words: \"(if (Aurora is a knave) then (Jack ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1179, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 14513} |
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, Liam, Abigail, Lucas, and Matthew. According to Daniel, \"(it is not the case that (Matthew is a hero)) if and only if (if (Matthew is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1180, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-tru... | {"split": "train", "index": 14514} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Grace, Olivia, Oliver, and Lucas. In a statement by Harper: \"Lucas is a sinner or ((Oliver is a saint and Lucas is a sinner) or (Oliver is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1181, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 14515} |
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, Jack, Lucas, Samuel, and Matthew. Charlotte stated, \"(if (Jack is a sinner and Lucas is a saint) then (if Samuel is a saint then Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1182, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-tr... | {"split": "train", "index": 14516} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Noah, Sofia, Avery, and Jacob. Alexander commented, \"Jacob is an egoist\". As Noah put it, \"if Alexander is an egoist then ((Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1183, \"statements\": [[\"lying\", 4], [\"->\", [\"lying\", 0], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"l... | {"split": "train", "index": 14517} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aurora, Alexander, Noah, Logan, and Sofia. Aurora was heard saying, \"Sofia is a sinner\". Alexander expressed that Aurora is a sinner. Noah noted, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1184, \"statements\": [[\"lying\", 4], [\"lying\", 0], [\"lying\", 4], [\"or\", [\"and\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]... | {"split": "train", "index": 14518} |
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, Emily, Charlotte, Oliver, and Emma. Isabella was heard saying, \"Emily is a pioneer\". In a statement by Emily: \"(if (Emma is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1185, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 14519} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Grace, Oliver, Scarlett, Abigail, and Olivia. In Grace's words: \"((Scarlett is a pioneer and Grace is a pioneer) or Grace is a pioneer) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1186, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\", [\"... | {"split": "train", "index": 14520} |
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, Ethan, Victoria, Benjamin, and Luke. \"if ((Ethan is a pioneer and Luke is a laggard) and (if Ethan is a laggard then Samuel is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1187, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"ly... | {"split": "train", "index": 14521} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Michael, Grace, Henry, James, and Sofia. Michael commented, \"(it is not the case that (if Sofia is a devil then Henry is an angel)) and (if (Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1188, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 1]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\"... | {"split": "train", "index": 14522} |
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: Emma, Mia, Oliver, Owen, and Logan. \"((if Mia is a sinner then Logan is a saint) or (if Oliver is a saint then Owen is a saint)) if and only if ((Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1189, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"ly... | {"split": "train", "index": 14523} |
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: Sophia, Riley, Emily, Aurora, and Abigail. Sophia commented, \"Sophia is a sage or (if (Emily is a sage if and only if Emily is a fool) then (Emily is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1190, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4... | {"split": "train", "index": 14524} |
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, Owen, Evelyn, Henry, and Samuel. \"if (Henry is an altruist) then ((Owen is an egoist and Samuel is an egoist) if and only if (Owen is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1191, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"... | {"split": "train", "index": 14525} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Elizabeth, Chloe, Zoey, and Joseph. According to Harper, \"Zoey is a sinner\". Elizabeth commented, \"((if Zoey is a sinner then Harper is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1192, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not... | {"split": "train", "index": 14526} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Benjamin, Lucas, Penelope, Charlotte, and Zoey. Benjamin told you that Zoey is an angel and (Charlotte is an angel if and only if (if Benjamin is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1193, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"-... | {"split": "train", "index": 14527} |
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, Jacob, Grace, Charlotte, and Jack. Jackson commented, \"it is not the case that (Grace is an altruist)\". Jacob commented, \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1194, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"ly... | {"split": "train", "index": 14528} |
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, Mia, Mason, Elizabeth, and Ella. In James's words: \"((Mia is a sinner or Ella is a saint) or (Mia is a sinner or Mia is a saint)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1195, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-tr... | {"split": "train", "index": 14529} |
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, Jackson, Ethan, Henry, and Emma. \"if ((if Jackson is a sage then Henry is a sage) and (Henry is a sage or Emma is a sage)) then (if (Abigail is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1196, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\"... | {"split": "train", "index": 14530} |
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: Aria, Harper, Joseph, Owen, and Matthew. In Aria's words: \"if (Owen is a villain if and only if (if Owen is a hero then Matthew is a hero)) then ((A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1197, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"->\", [\"n... | {"split": "train", "index": 14531} |
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, Michael, Luke, Emma, and Riley. \"Riley is a knave,\" Henry declared. \"((Henry is a knight or Michael is a knight) and (if Emma is a knave th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1198, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\... | {"split": "train", "index": 14532} |
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, Aria, Harper, Henry, and Oliver. According to Noah, \"(if (Aria is an egoist if and only if Oliver is an altruist) then (Aria is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1199, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-t... | {"split": "train", "index": 14533} |
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: Amelia, David, Lucas, Aurora, and Owen. \"Aurora is a sinner,\" Amelia mentioned. David told you that Lucas is a saint if and only if (Owen is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1200, \"statements\": [[\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"lying\", 4], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 0... | {"split": "train", "index": 14534} |
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, Alexander, Henry, Ava, and Daniel. Benjamin commented, \"if ((if Ava is a laggard then Alexander is a pioneer) and (Daniel is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1201, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]... | {"split": "train", "index": 14535} |
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, Aria, Ethan, Zoey, and Elizabeth. Mia asserted: \"Elizabeth is an angel\". Aria stated, \"(if (if Elizabeth is a devil then Ethan is a devil) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1202, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"lying... | {"split": "train", "index": 14536} |
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, Sofia, James, Penelope, and Owen. In Jacob's words: \"(it is not the case that (Sofia is a saint or Penelope is a sinner)) and Sofia is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1203, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"telling-truth\", 1]], [\"lying\", 0], [\"->\", [\"lying\", 1], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"an... | {"split": "train", "index": 14537} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Harper, Chloe, Liam, and Aiden. William said, \"Aiden is an angel.\" In Harper's words: \"(it is not the case that (if Liam is a devil then Wi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1204, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"not\", [\"tellin... | {"split": "train", "index": 14538} |
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: Samuel, Liam, Ava, William, and Sophia. \"Liam is a sage,\" Samuel claimed. Liam commented, \"Sophia is a sage\". Ava was heard saying, \"((Ava is a sage a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1205, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 1]], [\"-... | {"split": "train", "index": 14539} |
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: Samuel, Liam, Mia, Riley, and Noah. \"(it is not the case that (Liam is a saint and Liam is a sinner)) and (it is not the case that (Liam is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1206, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"te... | {"split": "train", "index": 14540} |
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, Daniel, Olivia, William, and Noah. Isabella expressed that ((Noah is an angel or Noah is a devil) or (Noah is a devil and Noah is an angel)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1207, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [... | {"split": "train", "index": 14541} |
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, Mason, Scarlett, James, and Chloe. \"(if (if Scarlett is an altruist then Mason is an egoist) then (Mason is an altruist)) and (it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1208, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"->\", [\"lying\", 4], [\"->\", [\"lying\... | {"split": "train", "index": 14542} |
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, Abigail, Mia, Chloe, and Lucas. Grace remarked, \"if (if (Lucas is an angel and Lucas is a devil) then (Lucas is an angel)) then (if (Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1209, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 2]]]], [\"or\", [\"->\", ... | {"split": "train", "index": 14543} |
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, Zoey, David, Lucas, and Ava. Sophia said, \"Ava is a knight.\" Zoey commented, \"Sophia is a knight or ((if Sophia is a knave then Sophia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1210, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\"or\"... | {"split": "train", "index": 14544} |
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, Isabella, Avery, Victoria, and Emma. \"(it is not the case that (Avery is a sinner)) and ((Victoria is a sinner or Alexander is a saint) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1211, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 3]]]], [\"or\", [\"and\", [\"->\", [\"telling-trut... | {"split": "train", "index": 14545} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Matthew, Henry, Olivia, and Benjamin. David remarked, \"Benjamin is a pioneer\". As Matthew put it, \"if (Benjamin is a pioneer and (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1212, \"statements\": [[\"not\", [\"lying\", 4]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-tr... | {"split": "train", "index": 14546} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Amelia, Michael, Abigail, and Sofia. \"((Amelia is a devil or James is an angel) or Sofia is a devil) if and only if ((Michael is an angel or So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1213, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 4]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]]], [\"not\", [\"... | {"split": "train", "index": 14547} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Ava, Emily, David, and Lily. Zoey was heard saying, \"Ava is a knave\". Ava was heard saying, \"(Zoey is a knight if and only if (if David is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1214, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 0]]], [\"or\... | {"split": "train", "index": 14548} |
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, Aria, Sofia, Jackson, and Scarlett. Ava asserted: \"(if (Ava is a sage and Aria is a sage) then (Ava is a sage if and only if Aria is a sage)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1215, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=... | {"split": "train", "index": 14549} |
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: Alexander, Oliver, Avery, Jackson, and Aiden. \"Jackson is an angel if and only if (Avery is a devil and (if Alexander is an angel then Aiden is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1216, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 14550} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, Sofia, William, Jack, and Riley. Logan told you that ((if William is an egoist then William is an altruist) or (Sofia is an egoist and R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1217, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 14551} |
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, Lucas, David, Jacob, and Michael. \"Grace is a knight if and only if (it is not the case that (Grace is a knight if and only if Lucas is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1218, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"tellin... | {"split": "train", "index": 14552} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Mia, Ella, Sebastian, and Samuel. Matthew told you that (if (Ella is a saint or Ella is a sinner) then (Mia is a saint or Ella is a saint)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1219, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-tru... | {"split": "train", "index": 14553} |
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: Owen, Benjamin, Sofia, Jacob, and Ella. Owen stated, \"Benjamin is a sinner and (if (Ella is a saint) then (if Ella is a sinner then Ella is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1220, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 14554} |
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, Samuel, Liam, Emily, and Avery. David noted, \"Emily is an egoist\". Samuel commented, \"((Liam is an egoist or Samuel is an altruist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1221, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth... | {"split": "train", "index": 14555} |
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: Owen, Samuel, Chloe, Isabella, and Aurora. Owen was heard saying, \"Chloe is a sinner\". \"it is not the case that (Chloe is a sinner and (Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1222, \"statements\": [[\"lying\", 2], [\"not\", [\"and\", [\"lying\", 2], [\"not\", [\"lying\", 4]]]], [\"telling-truth\", 3], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"lying\", 0]]], [\"and\", ... | {"split": "train", "index": 14556} |
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: Amelia, Jacob, Oliver, Joseph, and Daniel. In Amelia's words: \"Oliver is an egoist\". In a statement by Jacob: \"Joseph is an altruist\". As O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1223, \"statements\": [[\"lying\", 2], [\"not\", [\"lying\", 3]], [\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 0]], [\"lying\", 4], [\"not\", [\"or\", [\"->\", [\"lying\", 0], [\"l... | {"split": "train", "index": 14557} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Daniel, Lily, Avery, and Abigail. As Joseph put it, \"Avery is a knight\". Daniel told you that ((if Joseph is a knave then Lily is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1224, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"ly... | {"split": "train", "index": 14558} |
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, Emma, Aiden, Jackson, and Charlotte. Abigail said, \"if (if Emma is a sage then Emma is a fool) then ((Aiden is a sage if and only if Charlotte is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1225, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"->\", [\"telling-tr... | {"split": "train", "index": 14559} |
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, Grace, Isabella, William, and Penelope. Sebastian commented, \"William is a hero\". As Grace put it, \"(Sebastian is a hero and (Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1226, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-tru... | {"split": "train", "index": 14560} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Michael, Victoria, Joseph, Emily, and Chloe. \"((if Emily is a devil then Joseph is a devil) or (Joseph is a devil)) if and only if Michael is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1227, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 0]], [\"lying\", 3], [\"and\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\... | {"split": "train", "index": 14561} |
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: Mason, Ethan, Grace, Oliver, and Jackson. Mason told you that it is not the case that ((Ethan is a knave or Mason is a knight) if and only if (Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1228, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 14562} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Sophia, Owen, Riley, and Sofia. Lucas commented, \"(Lucas is a sage if and only if (Riley is a fool and Sofia is a fool)) and ((Sophia is a sage or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1229, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 14563} |
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, Michael, Zoey, Aurora, and Elizabeth. According to Owen, \"if ((Aurora is a sage and Elizabeth is a sage) or Zoey is a sage) then (Elizabeth is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1230, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"not\", [\"t... | {"split": "train", "index": 14564} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Ava, Henry, Avery, and Penelope. Evelyn stated, \"((Evelyn is a knight or Ava is a knave) if and only if Ava is a knight) if and only if ((He... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1231, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", ... | {"split": "train", "index": 14565} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Jackson, Matthew, Aiden, and James. Abigail told you that ((if Aiden is a saint then Abigail is a saint) if and only if (if James is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1232, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"lying\", 2]], [\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 14566} |
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: James, Evelyn, Henry, Liam, and Noah. In James's words: \"Evelyn is a fool\". In a statement by Evelyn: \"((Liam is a sage if and only if James is a sage) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1233, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->... | {"split": "train", "index": 14567} |
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, Joseph, Aiden, Abigail, and Elizabeth. \"it is not the case that (if (if Elizabeth is a pioneer then Elizabeth is a laggard) then (Ai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1234, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"tel... | {"split": "train", "index": 14568} |
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, Zoey, Mason, Sebastian, and Aiden. According to James, \"Aiden is a saint and Mason is a sinner\". Zoey expressed that ((Zoey is a saint or Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1235, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0]... | {"split": "train", "index": 14569} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Ella, Luke, Owen, and Ava. Sebastian told you that Sebastian is a sage. Ella told you that (Ava is a fool) and ((Owen is a fool) or (Sebastian i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1236, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]]], [\"->\", [\"and\", [\"<=>\", [\"lying... | {"split": "train", "index": 14570} |
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, Zoey, Harper, Riley, and Jackson. Grace remarked, \"Zoey is a knave\". According to Zoey, \"if ((Zoey is a knight and Harper is a knight) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1237, \"statements\": [[\"lying\", 1], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 4], [\"not\", [\"lying\", 2]]]], [\... | {"split": "train", "index": 14571} |
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, Amelia, Mason, Lily, and Lucas. As David put it, \"((Lily is a devil) or Mason is a devil) if and only if ((David is an angel if and only if Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1238, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 14572} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Avery, Aria, Liam, Benjamin, and William. In a statement by Avery: \"if ((Benjamin is a villain and Liam is a villain) if and only if Benjamin is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1239, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 3]], [\"->\", [\"not\", [\"lying\", 2]], [\"lying\", 1]]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"or\", [\"telling... | {"split": "train", "index": 14573} |
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, Matthew, Sofia, Victoria, and Isabella. William asserted: \"if (William is a sage and (Victoria is a sage and Isabella is a sage)) then ((Matthew ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1240, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2... | {"split": "train", "index": 14574} |
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, Jackson, Scarlett, Olivia, and Jacob. Charlotte expressed that Scarlett is an angel. \"((Charlotte is a devil and Jackson is an angel) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1241, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]... | {"split": "train", "index": 14575} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Avery, Ethan, Ella, Oliver, and Amelia. Avery commented, \"(it is not the case that (Ethan is a hero and Oliver is a hero)) if and only if ((Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1242, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\... | {"split": "train", "index": 14576} |
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, Harper, Benjamin, Lucas, and David. Isabella told you that ((Harper is a pioneer) and (David is a pioneer or Isabella is a pioneer)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1243, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"lying\", 1]], [\"telling-truth\", 4], [\"not\", [\"not\", [\"not\", [\"lying\", 1]]]], [\"and\... | {"split": "train", "index": 14577} |
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: Mason, Avery, Amelia, Victoria, and Benjamin. Mason was heard saying, \"if Victoria is a sinner then (if (Benjamin is a sinner and Benjamin is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1244, \"statements\": [[\"->\", [\"lying\", 3], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"lying\", 0], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]... | {"split": "train", "index": 14578} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Grace, Evelyn, Ethan, David, and Logan. As Grace put it, \"((Ethan is a hero and David is a villain) or (if Grace is a hero then David is a villain))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1245, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 3]], [\"or\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"te... | {"split": "train", "index": 14579} |
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, Amelia, Ella, Liam, and Grace. \"if Grace is a sinner then Grace is a saint,\" Michael declared. \"Grace is a sinner,\" Amelia mentioned. El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1246, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"and\", [\"or\", [\"and\... | {"split": "train", "index": 14580} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Grace, James, Henry, and Daniel. According to Charlotte, \"(if (Daniel is an altruist) then (Grace is an altruist)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1247, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"telling-truth\", 2], [\"not\", [\"or\", [\"telling-truth\", 1], [\"or\", [\"tel... | {"split": "train", "index": 14581} |
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: Jackson, Samuel, Harper, Sebastian, and Michael. As Jackson put it, \"((Samuel is a knave and Harper is a knight) or (Samuel is a knight)) or (it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1248, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"or\", [\"and\", [\"not\", [\"tell... | {"split": "train", "index": 14582} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Evelyn, Abigail, Chloe, Liam, and Benjamin. \"it is not the case that (Liam is a sage or (Evelyn is a sage and Liam is a sage)),\" Evelyn claimed. Accordin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1249, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 3]]]], [\"or\",... | {"split": "train", "index": 14583} |
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, Scarlett, Jackson, Lucas, and Sebastian. Oliver stated, \"if ((Scarlett is a pioneer or Oliver is a pioneer) or (Sebastian is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1250, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-tr... | {"split": "train", "index": 14584} |
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: Sebastian, Mason, Ella, Aria, and Alexander. Sebastian was heard saying, \"if ((Ella is a pioneer) and (Alexander is a laggard)) then (if (Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1251, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"or\",... | {"split": "train", "index": 14585} |
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, Michael, Zoey, Joseph, and Abigail. In a statement by Chloe: \"(if (Chloe is an angel and Zoey is an angel) then (if Joseph is an angel then Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1252, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 14586} |
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, Daniel, Aiden, Charlotte, and Elizabeth. \"if Charlotte is an altruist then ((if Daniel is an altruist then Charlotte is an altruist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1253, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"telling-truth\", 0], [\"and\", [\"not\", [\"->\... | {"split": "train", "index": 14587} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Aiden, Mason, Ava, and Victoria. William commented, \"((Aiden is a hero) or (Ava is a hero if and only if Victoria is a villain)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1254, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 14588} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Sophia, Daniel, Grace, and Liam. Charlotte said, \"it is not the case that ((if Sophia is an egoist then Daniel is an altruist) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1255, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"<=>\", [\"and\", [\"n... | {"split": "train", "index": 14589} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Elizabeth, Avery, Penelope, and Luke. Victoria told you that ((Luke is a laggard or Avery is a pioneer) or (if Penelope is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1256, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3]... | {"split": "train", "index": 14590} |
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: Zoey, Daniel, Owen, Mia, and Riley. Zoey asserted: \"((Daniel is a saint and Riley is a saint) and (if Zoey is a saint then Owen is a saint)) or ((Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1257, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"telling-tr... | {"split": "train", "index": 14591} |
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, Jackson, Evelyn, Mason, and Lily. According to Riley, \"Lily is a pioneer\". Jackson expressed that ((Mason is a pioneer and Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1258, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"tel... | {"split": "train", "index": 14592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aiden, Lucas, Alexander, Emma, and Mia. \"(Mia is a hero if and only if (Aiden is a hero or Emma is a hero)) or ((Lucas is a villain and Emma is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1259, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 14593} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Logan, Grace, Scarlett, and Lily. \"it is not the case that ((Logan is a knight) if and only if (if Logan is a knave then Logan is a knight))\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1260, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 3]], [\"<=>\", [\"<=>\"... | {"split": "train", "index": 14594} |
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: Sophia, Lily, Daniel, Liam, and Ella. Sophia said that Daniel is a laggard. As Lily put it, \"if ((Daniel is a laggard if and only if Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1261, \"statements\": [[\"lying\", 2], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-trut... | {"split": "train", "index": 14595} |
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, Penelope, James, Benjamin, and David. Samuel said that ((Benjamin is a laggard if and only if James is a pioneer) and (Benjamin is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1262, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 2]]], [\"<=>\", [... | {"split": "train", "index": 14596} |
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, Ethan, Jacob, Scarlett, and Elizabeth. \"it is not the case that (Elizabeth is an egoist),\" Isabella declared. As Ethan put it, \"(J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1263, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\",... | {"split": "train", "index": 14597} |
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, Chloe, Benjamin, Evelyn, and Zoey. Ella was heard saying, \"if (it is not the case that (Ella is a pioneer or Evelyn is a pioneer)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1264, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telli... | {"split": "train", "index": 14598} |
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: Aria, Amelia, Olivia, Sofia, and Sophia. \"it is not the case that ((if Olivia is a saint then Amelia is a sinner) or (Aria is a saint if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1265, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"or\", [\"lying\", 4], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\... | {"split": "train", "index": 14599} |
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