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: Chloe, Sebastian, Luke, Daniel, and Sofia. \"if (if (Chloe is a pioneer and Daniel is a pioneer) then (Sofia is a laggard or Sofia is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\... | {"split": "train", "index": 14300} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Abigail, Grace, Amelia, and Riley. Mason stated, \"if ((Riley is a laggard) or (Mason is a pioneer if and only if Amelia is a pioneer)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 2]]], [\"no... | {"split": "train", "index": 14301} |
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, Zoey, Jackson, William, and Logan. Sofia expressed that if ((Logan is a sage) or (Logan is a sage if and only if William is a fool)) then ((William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 14302} |
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: Alexander, William, Amelia, Mia, and Ethan. According to Alexander, \"(if (Mia is a sage if and only if William is a sage) then Amelia is a fool) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 2]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"not\", [\"<=>\", [\"->\", [\"lying\... | {"split": "train", "index": 14303} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Matthew, Ella, Henry, and Sebastian. In Sophia's words: \"it is not the case that ((if Matthew is a sinner then Matthew is a saint) and (Seba... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"t... | {"split": "train", "index": 14304} |
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: Emily, William, Jack, Ava, and Matthew. Emily noted, \"it is not the case that (William is a sage if and only if (Jack is a sage or Ava is a fool))\". \"((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"or\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]... | {"split": "train", "index": 14305} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, Sofia, Mia, Jack, and Ava. Isabella expressed that if ((Sofia is a saint if and only if Jack is a saint) if and only if (Ava is a saint)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"l... | {"split": "train", "index": 14306} |
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, Isabella, Aurora, Sebastian, and Lily. Samuel noted, \"Sebastian is a devil if and only if (if (Isabella is a devil and Sebastian is a devil) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"<=>\", [\"lying\", 3], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"telling-truth\", 1], [\"->\", [\"and\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 14307} |
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, Olivia, Emily, Isabella, and Sophia. Sebastian said, \"(if (Sophia is a saint or Sophia is a sinner) then (if Emily is a sinner then Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"not\", [\"and\", [\... | {"split": "train", "index": 14308} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ella, Sebastian, Alexander, Mason, and Amelia. In a statement by Ella: \"Sebastian is an egoist\". \"(it is not the case that (if Ella is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"not\", [\"... | {"split": "train", "index": 14309} |
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: Ethan, Sebastian, Scarlett, Evelyn, and Mia. According to Ethan, \"((if Mia is an angel then Ethan is an angel) if and only if (Sebastian is an angel a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and... | {"split": "train", "index": 14310} |
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, Lucas, Oliver, Alexander, and Lily. Abigail was heard saying, \"(it is not the case that (Abigail is a saint and Lucas is a sinner)) and (it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"not\", [\"->\", [\... | {"split": "train", "index": 14311} |
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: Charlotte, Sebastian, David, Sofia, and Riley. According to Charlotte, \"Sofia is a fool\". As Sebastian put it, \"((if Sofia is a sage then Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 4], ... | {"split": "train", "index": 14312} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: David, Sophia, Chloe, Riley, and Jack. \"if Chloe is a hero then ((Sophia is a villain or Sophia is a hero) if and only if (if Chloe is a villain the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 14313} |
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, Evelyn, Jacob, Matthew, and Oliver. Ella told you that if ((if Ella is a sage then Matthew is a sage) and Jacob is a sage) then (if (if Evelyn is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 1]]]], [\"or\"... | {"split": "train", "index": 14314} |
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, Sophia, Ethan, Victoria, and Harper. William stated, \"it is not the case that (it is not the case that (Harper is a fool or Sophia is a sage))\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"not\", [\"lying\", 0]]]], [\"or\", [\"->\", [\"not\", [\"tellin... | {"split": "train", "index": 14315} |
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: Emily, Liam, Sophia, Riley, and Aria. \"it is not the case that (Sophia is a sage and (Aria is a fool if and only if Riley is a sage)),\" Emily claimed. Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 14316} |
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, Ethan, Evelyn, Lily, and Riley. In a statement by Matthew: \"Lily is a knight\". Ethan noted, \"(Lily is a knave if and only if (Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 0], ... | {"split": "train", "index": 14317} |
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, Liam, Riley, Emily, and Michael. In Harper's words: \"((Riley is an egoist and Harper is an altruist) and (Liam is an altruist)) and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 14318} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Noah, Benjamin, Oliver, Abigail, and Aiden. In a statement by Noah: \"((if Abigail is a fool then Oliver is a fool) and (if Noah is a sage then Abigail is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 1]], [\"->\", [\"or\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 14319} |
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, Zoey, Scarlett, William, and Noah. Aria said, \"Scarlett is a pioneer.\" In a statement by Zoey: \"Aria is a laggard and Noah is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"lying\", 1], [\"not\", [\"telling-truth\", 4]]]], [\"lying\", 0], [\"lying\", 1]], \"solution\": [true, fa... | {"split": "train", "index": 14320} |
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, Ava, Sophia, Lucas, and Sebastian. In a statement by Alexander: \"it is not the case that ((Alexander is an angel or Sophia is an angel) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]... | {"split": "train", "index": 14321} |
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, Joseph, Mason, Jackson, and Zoey. As Abigail put it, \"((Mason is a sage and Jackson is a sage) and (Zoey is a fool)) and Jackson is a sage\". As ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 0], [\"or\",... | {"split": "train", "index": 14322} |
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: Ava, Charlotte, Joseph, Jacob, and Penelope. Ava was heard saying, \"it is not the case that (if (Ava is a saint and Penelope is a saint) then (Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"lying\", 3]], [\"... | {"split": "train", "index": 14323} |
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, Harper, Amelia, Benjamin, and Daniel. Noah commented, \"if (Benjamin is an altruist and (if Amelia is an egoist then Harper is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]]... | {"split": "train", "index": 14324} |
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, Ella, Aria, and Alexander. Daniel noted, \"it is not the case that (if Ella is a hero then (Liam is a hero or Ella is a hero))\". \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 14325} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Luke, Riley, Sophia, and Emma. Zoey remarked, \"((Sophia is a pioneer or Emma is a laggard) if and only if Sophia is a pioneer) or ((Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 14326} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Avery, Ava, Lily, Aria, and Scarlett. \"if Ava is an altruist then Scarlett is an altruist\" - Avery. \"Aria is an altruist if and only if ((Ar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 4]]]], [\"or\", [\"not\", [\"... | {"split": "train", "index": 14327} |
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, Liam, Alexander, Benjamin, and Riley. As Samuel put it, \"(if (Riley is a knight or Riley is a knave) then (if Liam is a knight then Riley is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\", 1]]], [\"<=>\", [\"not\", [... | {"split": "train", "index": 14328} |
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, Sofia, Riley, Abigail, and Aria. Scarlett expressed that (if (Sofia is a sinner or Sofia is a saint) then (if Aria is a saint then Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", ... | {"split": "train", "index": 14329} |
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: Oliver, Sebastian, Aurora, Chloe, and Mason. Oliver commented, \"Mason is a devil and ((Sebastian is an angel if and only if Mason is a devil) and (Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"n... | {"split": "train", "index": 14330} |
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: Sofia, Chloe, Scarlett, Jacob, and Owen. \"((Scarlett is a sinner and Chloe is a saint) or (Scarlett is a sinner or Jacob is a saint)) or (Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 14331} |
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: Emma, Jacob, Isabella, Sophia, and Lucas. Emma expressed that it is not the case that ((Emma is an angel if and only if Lucas is an angel) or (if Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"... | {"split": "train", "index": 14332} |
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, Alexander, Liam, Olivia, and Mason. \"((Mason is an egoist or Olivia is an altruist) and Oliver is an altruist) if and only if ((if Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 14333} |
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: Harper, Matthew, Daniel, Aiden, and Emily. In a statement by Harper: \"(if (Aiden is a villain) then (if Daniel is a hero then Aiden is a villain)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]], [... | {"split": "train", "index": 14334} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aurora, Liam, Mia, Sophia, and Matthew. According to Aurora, \"if ((Aurora is a sage or Mia is a sage) and (if Aurora is a sage then Matthew is a sage)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"t... | {"split": "train", "index": 14335} |
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, Jacob, Ella, Zoey, and William. Victoria remarked, \"Zoey is a fool\". \"it is not the case that (William is a sage if and only if (William is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"lying\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\"... | {"split": "train", "index": 14336} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Victoria, Riley, Jack, Aria, and Oliver. \"(it is not the case that (if Riley is a saint then Aria is a saint)) and ((if Oliver is a sinner then Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"<=>\", [... | {"split": "train", "index": 14337} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Benjamin, Chloe, Abigail, Ava, and James. Benjamin noted, \"James is a hero\". \"((Ava is a villain) or (if James is a villain then Ava is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]... | {"split": "train", "index": 14338} |
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, Luke, Mia, James, and Emma. Logan told you that ((Luke is a knave if and only if Mia is a knight) if and only if Mia is a knave) or Luke is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 2]], [\"lying\", 1]], [\"lying\", 3], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"te... | {"split": "train", "index": 14339} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, Oliver, James, Elizabeth, and Charlotte. Isabella noted, \"if (it is not the case that (Isabella is a saint or James is a saint)) then (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\"... | {"split": "train", "index": 14340} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Scarlett, Liam, James, and Harper. Amelia said that (if Liam is a devil then (James is an angel if and only if Liam is an angel)) or ((Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telli... | {"split": "train", "index": 14341} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, Daniel, Chloe, James, and Isabella. In Michael's words: \"(if (James is a fool or Michael is a sage) then (Chloe is a fool if and only if Daniel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-... | {"split": "train", "index": 14342} |
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, Benjamin, Jacob, Samuel, and Joseph. In Evelyn's words: \"((Samuel is a knight if and only if Joseph is a knave) and (Samuel is a knave)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\",... | {"split": "train", "index": 14343} |
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: William, Jackson, Matthew, Jacob, and Grace. \"if (Grace is a knight and (if Jackson is a knave then Jackson is a knight)) then Jacob is a knight,\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"ly... | {"split": "train", "index": 14344} |
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, Oliver, William, Elizabeth, and Luke. As Ethan put it, \"(it is not the case that (Elizabeth is a knight)) or (it is not the case that (Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"lyi... | {"split": "train", "index": 14345} |
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: Jacob, Aiden, William, Penelope, and Benjamin. Jacob was heard saying, \"if ((Penelope is a knight and William is a knave) or William is a knight) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"lying\", 3]]], [\"or\", [\"not\", [\"not\", [\"telling... | {"split": "train", "index": 14346} |
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, Alexander, Grace, Penelope, and Daniel. Mia stated, \"it is not the case that ((Alexander is an angel) or (Grace is an angel))\". In Alexander's w... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]... | {"split": "train", "index": 14347} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Ava, Sofia, Daniel, and Lily. Mia was heard saying, \"if (it is not the case that (Ava is a fool or Daniel is a fool)) then ((if Lily is a sage then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]],... | {"split": "train", "index": 14348} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Owen, William, Noah, Matthew, and Olivia. Owen said that (it is not the case that (if William is a hero then William is a villain)) or (if (Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"<=>\", [\"and\", [\... | {"split": "train", "index": 14349} |
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, Owen, Victoria, Lily, and Olivia. As Benjamin put it, \"((Owen is a pioneer if and only if Victoria is a pioneer) and Olivia is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 4]]], [\"->\", [\"->\", [\"or\", [\"lying\", 4], [... | {"split": "train", "index": 14350} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Logan, Liam, Matthew, Isabella, and Alexander. Logan told you that (Isabella is a hero) and (if (Liam is a villain if and only if Isabella is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 4], ... | {"split": "train", "index": 14351} |
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, Jackson, Samuel, Sophia, and Riley. As Lucas put it, \"((Sophia is a fool if and only if Samuel is a sage) or (Lucas is a sage if and only if Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [... | {"split": "train", "index": 14352} |
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: David, Daniel, Jack, Grace, and Avery. David was heard saying, \"Grace is a fool\". Daniel remarked, \"((Jack is a sage and Daniel is a sage) and (if Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]... | {"split": "train", "index": 14353} |
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, Michael, Lucas, Avery, and Aiden. Zoey asserted: \"Avery is a saint\". \"Zoey is a sinner if and only if (Zoey is a saint or (Zoey is a sinner)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"lying\", 0], [\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]]]], [\"telling-truth\", 3], [\"->\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 14354} |
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, Sofia, Aiden, Scarlett, and Abigail. Lucas expressed that Abigail is an egoist. Sofia said, \"((Scarlett is an egoist) or (if Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"ly... | {"split": "train", "index": 14355} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Daniel, Lucas, Isabella, Owen, and David. Daniel noted, \"it is not the case that (if Owen is an egoist then (Daniel is an altruist or Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1022, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"->\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-truth\", 1]], [\"and\", [\"... | {"split": "train", "index": 14356} |
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, Benjamin, Aiden, Samuel, and Daniel. Riley commented, \"Samuel is a laggard\". \"(if (Daniel is a laggard) then (if Daniel is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1023, \"statements\": [[\"lying\", 3], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 14357} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Elizabeth, William, Emma, Victoria, and Owen. Elizabeth remarked, \"it is not the case that (if Victoria is a villain then Emma is a villain)\". Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1024, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"and\", [... | {"split": "train", "index": 14358} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, Alexander, James, Scarlett, and Mia. \"((Alexander is a laggard if and only if Alexander is a pioneer) or (Mia is a laggard if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1025, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\"... | {"split": "train", "index": 14359} |
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, Olivia, Michael, Matthew, and Lily. \"Lily is an altruist,\" Chloe claimed. \"Michael is an altruist,\" Olivia claimed. As Michael put i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1026, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"and\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 3]]... | {"split": "train", "index": 14360} |
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, Emily, Penelope, Avery, and Joseph. Chloe told you that Penelope is a devil. In Emily's words: \"((if Avery is a devil then Penelope is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1027, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]]], ... | {"split": "train", "index": 14361} |
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, Abigail, Matthew, Emily, and Michael. Jackson said that ((if Emily is a villain then Matthew is a villain) and (Emily is a villain if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1028, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"and\", [\"tell... | {"split": "train", "index": 14362} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jackson, Olivia, Samuel, Benjamin, and Aria. Jackson asserted: \"Samuel is an angel\". As Olivia put it, \"((Samuel is an angel) if and only if (Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1029, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"ly... | {"split": "train", "index": 14363} |
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: Noah, Ethan, Zoey, Daniel, and Ava. Noah stated, \"it is not the case that ((Zoey is a villain or Ava is a villain) and (if Noah is a hero then Ethan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1030, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"lying\... | {"split": "train", "index": 14364} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, James, Jackson, Logan, and Ethan. Scarlett commented, \"Jackson is a laggard\". James asserted: \"if (if Jackson is a laggard then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1031, \"statements\": [[\"lying\", 2], [\"->\", [\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\... | {"split": "train", "index": 14365} |
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, Charlotte, Alexander, Aurora, and Aiden. In a statement by Jackson: \"Alexander is a knight\". Charlotte stated, \"if ((Jackson is a knave a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1032, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 14366} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Jackson, Owen, Abigail, and Sebastian. Aria commented, \"Abigail is a devil and Jackson is an angel\". Jackson said that ((Owen is a devil if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1033, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"lying\", 3], [\"or\", [\"telling-truth\",... | {"split": "train", "index": 14367} |
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: Jacob, David, Lucas, Grace, and Mason. According to Jacob, \"((Mason is a knave or Lucas is a knight) or Jacob is a knight) or ((David is a knave if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1034, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4]]]], [\"<=>\", [\"... | {"split": "train", "index": 14368} |
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: Avery, Penelope, Elizabeth, Aria, and Emily. Avery said that if (Aria is a knave or (Penelope is a knight and Elizabeth is a knave)) then ((Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1035, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"and\", [... | {"split": "train", "index": 14369} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Aurora, Lucas, Abigail, and Benjamin. Emily told you that (Aurora is a villain) and (Lucas is a hero and Benjamin is a villain). Aurora told y... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1036, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"t... | {"split": "train", "index": 14370} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Sofia, Charlotte, Oliver, and Elizabeth. Owen asserted: \"(if (Elizabeth is an angel) then (Sofia is a devil and Oliver is an angel)) and (if (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1037, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-tr... | {"split": "train", "index": 14371} |
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, Avery, Isabella, Benjamin, and Jack. Oliver said that Avery is a laggard. \"((if Oliver is a pioneer then Jack is a laggard) and Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1038, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 0]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"not\", [\"->\", [\"lying\... | {"split": "train", "index": 14372} |
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, Joseph, Victoria, Michael, and Sofia. According to Mason, \"if ((Victoria is a knave if and only if Sofia is a knight) if and only if Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1039, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 4]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 14373} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ella, Aurora, Daniel, Evelyn, and Isabella. Ella asserted: \"Aurora is an angel and (if (if Daniel is a devil then Isabella is a devil) then (Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1040, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"or\",... | {"split": "train", "index": 14374} |
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, Samuel, Jack, Lucas, and Ella. Oliver remarked, \"Ella is an egoist if and only if ((Lucas is an egoist) and (Jack is an egoist or Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1041, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", ... | {"split": "train", "index": 14375} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Lily, Sofia, Scarlett, and Henry. \"Oliver is a knight,\" Oliver claimed. Lily noted, \"it is not the case that (it is not the case that (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1042, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth... | {"split": "train", "index": 14376} |
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: Lucas, Aiden, Henry, Matthew, and Sophia. \"(if (Aiden is a devil if and only if Matthew is a devil) then (Sophia is an angel and Aiden is an angel)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1043, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 1], [\"not\", [\"lying\", 3]]]], [\"or\", [\"->\", [\"->\",... | {"split": "train", "index": 14377} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Zoey, Mia, Oliver, Jackson, and Jack. Zoey remarked, \"it is not the case that (it is not the case that (Jack is an egoist if and only if Olive... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1044, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"lying\... | {"split": "train", "index": 14378} |
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: Amelia, Jackson, Aria, Zoey, and Henry. Amelia commented, \"((Henry is a hero or Amelia is a hero) if and only if (Zoey is a hero and Henry is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1045, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"n... | {"split": "train", "index": 14379} |
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, Evelyn, Emma, Scarlett, and Mason. Sophia said, \"it is not the case that ((if Emma is a villain then Sophia is a hero) or (Mason is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1046, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [... | {"split": "train", "index": 14380} |
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, James, Elizabeth, Abigail, and Samuel. Sofia expressed that Elizabeth is an angel or ((Elizabeth is an angel and Elizabeth is a devil) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1047, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 4]]]], [\"or\", [\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 14381} |
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: Noah, Zoey, Mason, Sofia, and Penelope. \"Zoey is a saint,\" Noah mentioned. Zoey noted, \"(if (if Noah is a sinner then Mason is a sinner) then (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1048, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]],... | {"split": "train", "index": 14382} |
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, Michael, Ella, Emma, and Liam. \"Emma is an egoist,\" Isabella declared. As Michael put it, \"if (Liam is an altruist) then ((Isabell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1049, \"statements\": [[\"lying\", 3], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]]], [\"->\", [\"and\", [\"not\", [\... | {"split": "train", "index": 14383} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Ethan, Sophia, Henry, and Emma. Aria told you that Ethan is an angel. Ethan commented, \"(Henry is a devil or (Aria is an angel)) and ((if Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1050, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]]], [\"... | {"split": "train", "index": 14384} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Aiden, Matthew, Luke, and Alexander. \"((if Luke is a saint then Aiden is a saint) if and only if (if Aiden is a saint then Alexander is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1051, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"... | {"split": "train", "index": 14385} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Lily, Sophia, Mason, and Joseph. Sebastian said, \"Joseph is a knave.\" Lily commented, \"it is not the case that ((if Sophia is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1052, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [... | {"split": "train", "index": 14386} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aiden, Owen, Zoey, Ava, and Elizabeth. Aiden said, \"(if (Zoey is a villain) then (Zoey is a villain if and only if Ava is a hero)) or (Elizabeth is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1053, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [\"<=>\", [\"and\", [\"te... | {"split": "train", "index": 14387} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Joseph, Olivia, Matthew, Liam, and Abigail. In Joseph's words: \"Abigail is a pioneer\". In Olivia's words: \"Abigail is a pioneer\". \"if (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1054, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 4], [\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\... | {"split": "train", "index": 14388} |
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, Liam, Harper, Henry, and Elizabeth. \"Elizabeth is a pioneer or (if (Liam is a laggard if and only if Henry is a pioneer) then (Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1055, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]]], [\"->\", [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling... | {"split": "train", "index": 14389} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Victoria, Luke, Owen, Evelyn, and Jacob. \"Evelyn is a saint,\" Victoria declared. Luke noted, \"it is not the case that ((Victoria is a saint) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1056, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"te... | {"split": "train", "index": 14390} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Evelyn, Noah, Oliver, and Ava. As Matthew put it, \"(Ava is an angel and (Ava is a devil and Oliver is an angel)) or (Noah is an angel or (Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1057, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"not\", [\"... | {"split": "train", "index": 14391} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Sophia, Samuel, Jackson, and Mason. Emma remarked, \"(if (Jackson is a knight) then (if Jackson is a knight then Emma is a knight)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1058, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [... | {"split": "train", "index": 14392} |
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, Avery, Harper, Logan, and Zoey. In a statement by Emma: \"if ((if Zoey is a sinner then Logan is a sinner) or (Logan is a sinner)) then ((Harpe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1059, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 14393} |
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, Avery, Joseph, Michael, and Daniel. Grace remarked, \"Joseph is a knight if and only if (it is not the case that (if Grace is a knight then Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1060, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 14394} |
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, Matthew, Jack, David, and Elizabeth. \"it is not the case that ((Matthew is a laggard if and only if David is a pioneer) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1061, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 14395} |
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, Elizabeth, David, Noah, and Ella. Jackson said that ((Noah is a pioneer if and only if David is a laggard) if and only if Ella is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1062, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"lying\", 0], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"not\", ... | {"split": "train", "index": 14396} |
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, Aria, Luke, Michael, and Harper. In a statement by Oliver: \"((Aria is a laggard and Aria is a pioneer) and Luke is a pioneer) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1063, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"lying\", 2], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 14397} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Scarlett, Benjamin, Harper, Ethan, and Samuel. In Scarlett's words: \"(it is not the case that (Benjamin is a hero and Samuel is a hero)) or (it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1064, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 14398} |
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, Grace, Abigail, Matthew, and Lucas. \"it is not the case that (Sebastian is a saint and (if Lucas is a saint then Grace is a sinner)),\" S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1065, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 14399} |
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