data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
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 9 inhabitants: Aiden, Owen, Ella, Chloe, Alexander, Matthew, Victoria, Jackson, and Mason. In Aiden's words: \"((if Victoria is a sage then Mason is a sage) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"lying\", 3], ... | {"split": "train", "index": 15800} |
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 9 inhabitants: Scarlett, Sophia, Jacob, Lucas, Zoey, Michael, Amelia, William, and Charlotte. \"if ((Lucas is a devil and Sophia is a devil and Amelia is a devil) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"->\", [\"lying\", 4], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"te... | {"split": "train", "index": 15801} |
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 9 inhabitants: Sophia, Sofia, Mason, Owen, Daniel, Jacob, Lucas, William, and Amelia. Sophia noted, \"((Daniel is a pioneer or Owen is a laggard) or (Amelia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", ... | {"split": "train", "index": 15802} |
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 9 inhabitants: Grace, Emma, David, Scarlett, Avery, Sebastian, Ethan, Luke, and Jack. \"it is not the case that ((if Emma is a sinner then Jack is a sinner) and (Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 8]], [\"and\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 4]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", ... | {"split": "train", "index": 15803} |
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 9 inhabitants: Grace, Sophia, Michael, Amelia, Henry, James, Harper, Sofia, and Jackson. Grace stated, \"it is not the case that ((Jackson is a laggard and Am... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 7], [\"lying\", 4]]]], [\"and\", [\"telling-truth\", 5], [\"and\", [\"lying\", 5], [\"and\", [\"telling-t... | {"split": "train", "index": 15804} |
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 9 inhabitants: Evelyn, Luke, Oliver, Amelia, Jack, William, Ava, Samuel, and Victoria. Evelyn expressed that Jack is an angel. \"if ((Samuel is an angel if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]], [\"lying\", 0], [\"or\", [\"lying\", 4], [\"telling-truth\", 6], [\"lying\", 5]]], [\"<=>\", [\"and\", [\"tell... | {"split": "train", "index": 15805} |
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 9 inhabitants: Owen, Olivia, Lucas, Aurora, Isabella, Riley, Oliver, Aiden, and Liam. In Owen's words: \"it is not the case that ((Riley is a laggard or Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling-truth\", 3]]]], [\"and\", [\"or\", [\"telling-truth... | {"split": "train", "index": 15806} |
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 9 inhabitants: Jackson, Victoria, Grace, Olivia, Mason, Noah, Lily, Chloe, and Abigail. \"it is not the case that ((Victoria is a saint and Abigail is a saint) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 15807} |
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 9 inhabitants: Isabella, Sofia, Scarlett, Ava, Luke, Victoria, Benjamin, Aria, and Matthew. Isabella told you that Aria is a sage or (if (if Isabella is a sage then Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"ly... | {"split": "train", "index": 15808} |
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 9 inhabitants: Evelyn, Ava, Elizabeth, Henry, Emma, Alexander, Olivia, Daniel, and Matthew. Evelyn asserted: \"if ((Alexander is a fool or Emma is a fool or Alexander is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 5]], [\"and\", [\"lying\", 4], [\"lying\", 7]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 6]], [\"telling-truth\", 5]]]... | {"split": "train", "index": 15809} |
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 9 inhabitants: Jacob, Logan, Daniel, Scarlett, Harper, Olivia, Lily, Elizabeth, and Isabella. Jacob asserted: \"(it is not the case that (Isabella is a devil if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 6], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"tellin... | {"split": "train", "index": 15810} |
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 9 inhabitants: James, Ella, Jack, Avery, Emily, Daniel, Grace, Matthew, and Noah. James was heard saying, \"(it is not the case that (if Ella is a pioneer the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"lying\", 6]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"and\", [\"lying\", 6], [\"telling-tr... | {"split": "train", "index": 15811} |
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 9 inhabitants: Liam, Lily, Mia, David, Olivia, Riley, Alexander, Elizabeth, and Grace. Liam noted, \"(if (if David is a knave then Elizabeth is a knight) then (Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lyin... | {"split": "train", "index": 15812} |
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 9 inhabitants: David, Ella, Mia, Logan, Abigail, Ava, Mason, Lucas, and Michael. David said that ((Ella is an angel if and only if Michael is an angel) or (Mia is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\", [\"lying\", 2], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-tr... | {"split": "train", "index": 15813} |
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 9 inhabitants: Sofia, Noah, Chloe, Emma, Michael, Jacob, Riley, David, and Matthew. In Sofia's words: \"Riley is a hero\". As Noah put it, \"(it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"lying\", 4], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 15814} |
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 9 inhabitants: Mia, Matthew, Ava, Joseph, Samuel, Ethan, Victoria, Lucas, and Sofia. Mia expressed that Ava is a fool. Matthew stated, \"((Joseph is a fool) and (Ethan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 5], [\"lying\", 6]]], [\"lying\", 2]], [\"lying\", 4], [\"not\", [\"and\", [\"->\", [\"lying\", 6], [\"telling-... | {"split": "train", "index": 15815} |
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 9 inhabitants: Isabella, Amelia, Logan, Jackson, Scarlett, Chloe, Liam, William, and Samuel. Isabella asserted: \"William is a villain\". In Amelia's words: \"(if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"lying\", 7], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"tell... | {"split": "train", "index": 15816} |
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 9 inhabitants: Jack, James, Noah, Luke, Sebastian, Alexander, Evelyn, Mia, and Aurora. Jack was heard saying, \"((if Mia is a hero then Noah is a villain) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"lying\", 5], [\"and\", [\"lying\", 2], [\"... | {"split": "train", "index": 15817} |
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 9 inhabitants: Grace, Mason, Scarlett, Abigail, Noah, Owen, Samuel, Victoria, and Avery. Grace expressed that if (Mason is a knight and (Noah is a knave and Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 4], [\"lying\", 5]]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\",... | {"split": "train", "index": 15818} |
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 9 inhabitants: David, Lily, Luke, Isabella, Jackson, Abigail, Emma, Aiden, and Sophia. According to David, \"Sophia is a knave or (if (Jackson is a knave or Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"or\", [\"lying\", 8], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 4],... | {"split": "train", "index": 15819} |
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 9 inhabitants: Emma, Charlotte, Zoey, Alexander, David, Sebastian, Ethan, Elizabeth, and Ava. \"((Sebastian is a hero if and only if Ethan is a hero) and (Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 15820} |
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 9 inhabitants: David, Aria, Sebastian, Emily, Noah, Harper, Sofia, Logan, and Jacob. In a statement by David: \"(it is not the case that (Noah is a sage)) and ((Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 7], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]]... | {"split": "train", "index": 15821} |
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 9 inhabitants: Sophia, Olivia, Benjamin, Ethan, Alexander, Matthew, David, Jacob, and Zoey. \"if (it is not the case that (Matthew is a pioneer)) then ((Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 5]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 3]]], [\"or... | {"split": "train", "index": 15822} |
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 9 inhabitants: Sebastian, Scarlett, Lucas, Evelyn, Henry, Sofia, Luke, Elizabeth, and Emily. As Sebastian put it, \"(if (Evelyn is a fool or Elizabeth is a sage or Emily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7], [\"lying\", 8]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8], [\"lying... | {"split": "train", "index": 15823} |
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 9 inhabitants: Charlotte, Victoria, Owen, Mason, Ethan, Liam, Penelope, Aiden, and Michael. As Charlotte put it, \"(Ethan is a villain or (Victoria is a villain) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 6], [\"lying\", 7]]]], [\"<=>\", [... | {"split": "train", "index": 15824} |
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 9 inhabitants: Aiden, Zoey, James, Jackson, Ethan, Evelyn, Emily, Henry, and Chloe. \"(Evelyn is an altruist and (James is an egoist or Chloe is an egoist)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 5], [\"or\", [\"lying\", 2], [\"lying\", 8]]], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]],... | {"split": "train", "index": 15825} |
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 9 inhabitants: Evelyn, Penelope, Aiden, Ethan, Isabella, Benjamin, Liam, Sofia, and Oliver. According to Evelyn, \"((if Penelope is a devil then Benjamin is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"and... | {"split": "train", "index": 15826} |
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 9 inhabitants: Grace, Henry, Isabella, Joseph, Chloe, Emily, Michael, Abigail, and David. Grace said that it is not the case that (it is not the case that (Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"->\", [\"->\", [\"lying\", 6], [\"not\", [\"lying\", 7]]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-tru... | {"split": "train", "index": 15827} |
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 9 inhabitants: Oliver, Benjamin, Victoria, Henry, Alexander, Amelia, Isabella, Joseph, and Ella. As Oliver put it, \"if (it is not the case that (Isabella is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"<=>\", [\"lying\",... | {"split": "train", "index": 15828} |
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 9 inhabitants: Isabella, Emily, Logan, Lucas, Mia, Matthew, Zoey, Sophia, and Olivia. Isabella said, \"(if (if Logan is an altruist then Matthew is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"telling-truth\", 8]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 0]], [\"l... | {"split": "train", "index": 15829} |
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 9 inhabitants: Emily, Sofia, Aurora, Michael, Aiden, Benjamin, Penelope, Chloe, and Olivia. Emily said, \"it is not the case that ((Aurora is an egoist or Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 2], [\"t... | {"split": "train", "index": 15830} |
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 9 inhabitants: Sofia, Aria, Joseph, Olivia, Ethan, Amelia, Matthew, Avery, and Abigail. \"Avery is an egoist and ((if Olivia is an egoist then Amelia is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"and\", [\"lying\", 7], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth\... | {"split": "train", "index": 15831} |
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 9 inhabitants: Aria, Oliver, Mason, Penelope, David, Michael, Sebastian, Emily, and Chloe. \"(if (Mason is a devil and Emily is an angel) then (Mason is a devil if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 1], [\"lying\", 6... | {"split": "train", "index": 15832} |
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 9 inhabitants: Ethan, Penelope, David, Amelia, Aria, Evelyn, Henry, Ella, and Lily. Ethan was heard saying, \"Lily is a laggard or ((if David is a pioneer the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"or\", [\"lying\", 8], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"and\", [\"lying\", 7], [\"<=>\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 15833} |
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 9 inhabitants: Jackson, William, Logan, Charlotte, Scarlett, Liam, Henry, Aria, and Emma. Jackson expressed that if Aria is a laggard then ((Henry is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"->\", [\"lying\", 7], [\"or\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]]], [\"<=>\", [\"lying\", 8], [\"lying\", 2]], [\"->\", [\"... | {"split": "train", "index": 15834} |
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 9 inhabitants: Mason, Benjamin, William, Sebastian, Elizabeth, Charlotte, Sofia, Avery, and Evelyn. Mason noted, \"Benjamin is a laggard if and only if (Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"<=>\", [\"lying\", 1], [\"or\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]]]], [\"telling-truth\", 1], [\"not\", [\"lying\", 6]], [\"<=>\", [\"or\", [\"->\", [\"telling-tr... | {"split": "train", "index": 15835} |
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 9 inhabitants: Evelyn, Grace, Alexander, Logan, Mia, David, Matthew, Noah, and Jackson. Evelyn told you that it is not the case that ((Noah is a fool) or (Jackson is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 8]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 5]], [\"lying\", 4]]], [\"->\", [\"lying\", 6], [... | {"split": "train", "index": 15836} |
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 9 inhabitants: Ethan, Aria, Lucas, Sofia, Matthew, Elizabeth, Penelope, Lily, and Luke. Ethan told you that (it is not the case that (Aria is a laggard)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 5], [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"lying\", 4]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 15837} |
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 9 inhabitants: Penelope, Henry, Sofia, Noah, Abigail, Aurora, Oliver, Mason, and Sophia. In Penelope's words: \"(Aurora is a devil if and only if (if Noah is a devil ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 5], [\"->\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]]]], [\"<=>\", [\"-... | {"split": "train", "index": 15838} |
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 9 inhabitants: Ava, Olivia, Henry, Scarlett, Lucas, Elizabeth, Isabella, Amelia, and Jack. In Ava's words: \"if (if Lucas is a laggard then Jack is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"telling-truth\... | {"split": "train", "index": 15839} |
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 9 inhabitants: Henry, Aria, Joseph, Zoey, Noah, Jacob, Olivia, Emily, and Lucas. \"(it is not the case that (if Olivia is a sage then Henry is a sage)) if and only if ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 7], [\"... | {"split": "train", "index": 15840} |
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 9 inhabitants: Liam, Alexander, Henry, Michael, Lily, Sophia, Ava, Emma, and Emily. Liam asserted: \"if ((Lily is a knight if and only if Henry is a knight) or (Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 7... | {"split": "train", "index": 15841} |
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 9 inhabitants: Sophia, Daniel, Harper, Mason, Owen, Sofia, Lily, Mia, and Emma. In a statement by Sophia: \"((if Emma is a knight then Mia is a knight) or (Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"not\", [\"telling-tru... | {"split": "train", "index": 15842} |
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 9 inhabitants: Owen, James, Jackson, Ethan, Sebastian, Joseph, Matthew, Aurora, and Alexander. \"(it is not the case that (Aurora is an altruist)) and (if (Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 7]]], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 5]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 15843} |
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 9 inhabitants: Alexander, Noah, Zoey, Aiden, James, Scarlett, Emma, Samuel, and Owen. Alexander said that ((Emma is a sinner and Aiden is a sinner) if and only if N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 3]], [\"lying\", 1]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 1]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\... | {"split": "train", "index": 15844} |
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 9 inhabitants: Samuel, Matthew, Emma, Harper, Sophia, Scarlett, Liam, Sofia, and Daniel. In Samuel's words: \"(if (if Sofia is a hero then Liam is a villain) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 7]]... | {"split": "train", "index": 15845} |
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 9 inhabitants: Zoey, Liam, Luke, Alexander, Sebastian, Aria, Aurora, Ella, and Harper. \"it is not the case that ((Harper is a laggard if and only if Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 3]]]], [\"->\"... | {"split": "train", "index": 15846} |
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 9 inhabitants: Victoria, Avery, James, Mia, Aiden, Sofia, Ethan, Grace, and Evelyn. As Victoria put it, \"if (it is not the case that (Avery is a saint if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"<=>\", [\"lying\", 8], [\"lying\", 3]]]], [\"and\", [\"->\", [\"-... | {"split": "train", "index": 15847} |
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 9 inhabitants: Abigail, Liam, Ethan, Sebastian, Isabella, Emily, Emma, Daniel, and Lily. Abigail said that Abigail is a saint if and only if ((Isabella is a saint o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [... | {"split": "train", "index": 15848} |
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 9 inhabitants: Owen, Jacob, Noah, Ethan, Daniel, Elizabeth, Abigail, Luke, and Jackson. Owen remarked, \"Luke is a saint\". Jacob asserted: \"((Luke is a saint or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"or\", [\"lying\", 7], [\"lying\", 4], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling... | {"split": "train", "index": 15849} |
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 9 inhabitants: Aria, Owen, Amelia, Noah, Ava, Mason, Grace, Sofia, and Ethan. In Aria's words: \"if Ethan is a pioneer then ((Grace is a laggard and Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"lying\", 3]]]], [\"or\", ... | {"split": "train", "index": 15850} |
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 9 inhabitants: Alexander, Liam, Elizabeth, Noah, Sebastian, Sophia, Aria, Jacob, and Logan. Alexander expressed that ((Elizabeth is a knave if and only if Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telli... | {"split": "train", "index": 15851} |
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 9 inhabitants: Oliver, Mason, Lily, Emma, Ella, Avery, Evelyn, Benjamin, and Matthew. Oliver said, \"((if Emma is a saint then Lily is a saint) and (Avery is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 5], [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"lying... | {"split": "train", "index": 15852} |
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 9 inhabitants: Isabella, Jackson, Logan, Scarlett, Sofia, Ella, Oliver, Benjamin, and Avery. Isabella expressed that (it is not the case that (Isabella is a sage and Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]]... | {"split": "train", "index": 15853} |
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 9 inhabitants: William, Emily, Owen, Noah, Amelia, Matthew, Alexander, Liam, and Henry. William stated, \"(it is not the case that (Emily is a devil if and only if Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"or\", [\"telling-truth\", 5], [\"lying\", 3], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"t... | {"split": "train", "index": 15854} |
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 9 inhabitants: Lily, Sofia, Henry, Riley, Zoey, Owen, James, Isabella, and Chloe. Lily noted, \"(it is not the case that (Zoey is a saint)) and (if (Owen is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 8], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 15855} |
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 9 inhabitants: Luke, Mason, Mia, Charlotte, James, Lily, Alexander, Sophia, and Grace. Luke said, \"((James is a devil or Mia is a devil) if and only if (Lily is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"lying\", 3]]], [\"not\", [\"and\", ... | {"split": "train", "index": 15856} |
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 9 inhabitants: Grace, Harper, Owen, Samuel, Jackson, Oliver, William, Ethan, and David. Grace commented, \"(if Owen is a saint then Samuel is a saint) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"and\", [\"lying\", 5], [\"lying\", 2], [\"lying\", 4]]]], [\"and\", [\"and\", [\"... | {"split": "train", "index": 15857} |
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 9 inhabitants: Sebastian, Penelope, Jackson, Chloe, Isabella, Aiden, Lily, Sofia, and Charlotte. \"((Penelope is a knave or Jackson is a knight or Aiden is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]], [\"and\", [\"lying\", 5], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 0]... | {"split": "train", "index": 15858} |
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 9 inhabitants: Jacob, Benjamin, Sophia, Sebastian, Liam, Amelia, Mason, Victoria, and Aiden. According to Jacob, \"if ((Amelia is an angel and Mason is a devil and So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 4]... | {"split": "train", "index": 15859} |
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 9 inhabitants: Jackson, Aria, Oliver, Lucas, Emma, Penelope, Logan, Aiden, and William. Jackson expressed that Oliver is a sage. Aria commented, \"(Aiden is a fool) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"not\", [\"lying\",... | {"split": "train", "index": 15860} |
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 9 inhabitants: Amelia, Grace, Jackson, Mia, Benjamin, Mason, Alexander, Ava, and Riley. In a statement by Amelia: \"if Benjamin is a fool then ((Riley is a fool if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"->\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]]], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]], [\"... | {"split": "train", "index": 15861} |
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 9 inhabitants: Avery, Evelyn, Ava, Joseph, Olivia, Jackson, Jacob, Daniel, and Harper. In Avery's words: \"Daniel is an altruist\". Evelyn stated, \"if ((Harp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"<=>... | {"split": "train", "index": 15862} |
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 9 inhabitants: Matthew, Sebastian, Olivia, Emily, Oliver, Aria, Aurora, James, and Lily. Matthew was heard saying, \"(it is not the case that (Emily is a saint or O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 7], [\"lying\", 1]]]]... | {"split": "train", "index": 15863} |
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 9 inhabitants: Olivia, Isabella, Harper, James, Liam, Logan, Sophia, Jacob, and Mason. According to Olivia, \"it is not the case that ((James is an angel and Harper i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"->\", [\"lying\", 2], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-tr... | {"split": "train", "index": 15864} |
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 9 inhabitants: Zoey, Liam, Victoria, Henry, Alexander, Ella, Charlotte, Amelia, and Joseph. Zoey commented, \"(Victoria is an altruist or (Henry is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7], [\"telling-truth\", 0]]], [\"telling-... | {"split": "train", "index": 15865} |
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 9 inhabitants: Luke, Liam, Aiden, Aria, Joseph, Riley, Grace, Abigail, and Scarlett. As Luke put it, \"Grace is a villain\". \"Luke is a villain,\" Liam declared. A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"lying\", 6], [\"lying\", 0], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\... | {"split": "train", "index": 15866} |
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 9 inhabitants: Sophia, Alexander, Grace, Lucas, Scarlett, Sofia, Noah, Abigail, and Samuel. Sophia said that ((Abigail is a hero and Abigail is a villain) and (Sofi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"lying\", 5]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1], [\"telling... | {"split": "train", "index": 15867} |
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 9 inhabitants: Liam, Logan, Ethan, Samuel, Riley, Joseph, Sofia, Benjamin, and Elizabeth. In Liam's words: \"it is not the case that (it is not the case that (Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 8]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [... | {"split": "train", "index": 15868} |
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 9 inhabitants: James, Elizabeth, Grace, Ava, Evelyn, Jack, Aiden, Jacob, and Avery. James asserted: \"((Elizabeth is an egoist if and only if Avery is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"lying\", 8], [\"lying\", 3]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"or\", [\"te... | {"split": "train", "index": 15869} |
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 9 inhabitants: Jackson, Lily, Emma, Riley, Oliver, Sofia, Sebastian, Isabella, and William. Jackson said, \"Sebastian is a saint.\" Lily remarked, \"Sebastian is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"telling-truth\", 6], [\"lying\", 6], [\"and\", [\"lying\", 5], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"lying\", 5]],... | {"split": "train", "index": 15870} |
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 9 inhabitants: Lucas, Oliver, Joseph, Alexander, Ethan, Emily, Luke, Riley, and Owen. Lucas was heard saying, \"Ethan is an altruist if and only if (if (Olive... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"an... | {"split": "train", "index": 15871} |
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 9 inhabitants: Aurora, James, Mason, Jack, David, Jacob, Aiden, Benjamin, and Elizabeth. Aurora remarked, \"it is not the case that ((if Elizabeth is a sage then Aiden is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"->\", [\"lying\", 7], [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"<=>\", [... | {"split": "train", "index": 15872} |
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 9 inhabitants: Olivia, Charlotte, Noah, Ava, Aiden, Lily, Owen, Liam, and Sebastian. In Olivia's words: \"it is not the case that (if Charlotte is a saint then (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 8]]]], [\"telling-truth\", 7], [\"telling-truth\", 3], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\"... | {"split": "train", "index": 15873} |
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 9 inhabitants: Aurora, Emily, William, Sophia, Logan, Victoria, Michael, Benjamin, and Evelyn. Aurora commented, \"it is not the case that ((Michael is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]]], [\"not\", [\"lying\", 6]], [\"and\", [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2]... | {"split": "train", "index": 15874} |
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 9 inhabitants: Owen, Evelyn, James, Mason, Ava, Lily, Sofia, Jackson, and Isabella. Owen noted, \"if Ava is a fool then (if (if Lily is a fool then Ava is a sage) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]... | {"split": "train", "index": 15875} |
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 9 inhabitants: William, Avery, Jackson, Benjamin, Michael, Victoria, Sophia, Matthew, and Alexander. William told you that Victoria is a fool. \"it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"lying\", 5], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth... | {"split": "train", "index": 15876} |
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 9 inhabitants: Noah, Oliver, William, Ava, Mason, Jack, Riley, Emma, and Liam. \"Riley is a knight,\" Noah declared. According to Oliver, \"Mason is a knight\". Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"lying\", 4]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 7]]]], [\"telling-truth\", 6], [\"not... | {"split": "train", "index": 15877} |
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 9 inhabitants: Penelope, Emily, William, Aiden, Henry, Chloe, James, Joseph, and Daniel. In a statement by Penelope: \"(if (Daniel is a laggard or Henry is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4], [\"lying\", 7]], [\"lying\", 1]], [\"telling-truth\", 5]], [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"lying\", 8], [\"<=>\", [\"->\", ... | {"split": "train", "index": 15878} |
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 9 inhabitants: Jack, Grace, Jacob, Henry, Ella, William, Daniel, Noah, and Zoey. Jack said that (if (Henry is an egoist and Daniel is an egoist and Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 6], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 5]]], [\"lying\", 1]], [\"or\", [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 4]]], [\... | {"split": "train", "index": 15879} |
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 9 inhabitants: Aria, Victoria, Ella, Lily, Alexander, Lucas, Daniel, Isabella, and Sophia. Aria was heard saying, \"Alexander is a sinner\". As Victoria put it, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]], [\"not\", [\"lying\", 5]]]], [\"and\", [\"not\", [\"->\", [\"telling... | {"split": "train", "index": 15880} |
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 9 inhabitants: Emily, Chloe, Joseph, Emma, Jack, Sebastian, Jackson, Alexander, and Liam. \"(it is not the case that (Alexander is a devil or Jackson is an angel or E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"not\", [\"lying\", 4]]]], [\"not\", [\"or\", [... | {"split": "train", "index": 15881} |
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 9 inhabitants: Olivia, Ella, Noah, Emma, Isabella, Jack, Mia, Lily, and Amelia. Olivia said that ((Emma is a knave or Ella is a knight or Amelia is a knight) and (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"lying\", 1]], [\"telling-truth\", 8]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]... | {"split": "train", "index": 15882} |
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 9 inhabitants: Avery, Riley, Penelope, Jacob, Aria, Emma, Zoey, Noah, and Sebastian. \"(if Riley is a sinner then (if Zoey is a saint then Riley is a saint)) or ((J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 8], [\"lying\", 7], [\... | {"split": "train", "index": 15883} |
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 9 inhabitants: Matthew, Olivia, Jackson, Riley, Emily, Penelope, Ethan, Liam, and Scarlett. Matthew stated, \"((Ethan is a knave or Scarlett is a knight or Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"lying\", 3]], [\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 7], [\"telli... | {"split": "train", "index": 15884} |
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 9 inhabitants: Sofia, Abigail, Michael, Lily, Amelia, Luke, James, Penelope, and Evelyn. Sofia told you that (if (Michael is an egoist if and only if Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lyi... | {"split": "train", "index": 15885} |
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 9 inhabitants: Liam, Alexander, Henry, Harper, Ava, James, Lucas, Logan, and Sebastian. In a statement by Liam: \"James is a sinner\". In a statement by Alexander: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 0], [\"not\", [\"lying\", 7]], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 1], [\"telling-tr... | {"split": "train", "index": 15886} |
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 9 inhabitants: Scarlett, Penelope, Lucas, Isabella, Emma, Aiden, Luke, Charlotte, and Noah. Scarlett told you that ((Emma is a saint) and Lucas is a saint and (Pene... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"te... | {"split": "train", "index": 15887} |
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 9 inhabitants: Noah, Harper, Jackson, Logan, Samuel, Ella, Owen, Riley, and Luke. Noah noted, \"((Riley is a villain if and only if Logan is a villain) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 5]], [\"and\", [\"lying\", 7], [\"t... | {"split": "train", "index": 15888} |
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 9 inhabitants: James, Aiden, Samuel, Jack, Lucas, Ella, Charlotte, Scarlett, and Joseph. James stated, \"((Charlotte is a knight if and only if Scarlett is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"lying\", 1]]], [\"<=>\... | {"split": "train", "index": 15889} |
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 9 inhabitants: Oliver, Liam, Lucas, Logan, Mason, Jack, Riley, Sebastian, and Emma. Oliver noted, \"((Liam is a saint or Riley is a sinner or Liam is a sinner) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6], [\"lying\", 1]], [\"and\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"tell... | {"split": "train", "index": 15890} |
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 9 inhabitants: Sofia, James, Grace, Daniel, Aurora, Olivia, Sophia, Henry, and William. Sofia commented, \"Olivia is a sage or Aurora is a fool or (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"lying\", 4], [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 7]]], [\"or\", [\"or\", [\"telling-t... | {"split": "train", "index": 15891} |
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 9 inhabitants: Harper, Mason, Victoria, Elizabeth, Penelope, Owen, Aria, Henry, and Scarlett. In Harper's words: \"if ((Elizabeth is a villain) and Owen is a hero) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 5]], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 2... | {"split": "train", "index": 15892} |
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 9 inhabitants: Aria, Liam, Victoria, Penelope, Grace, Scarlett, Abigail, Ethan, and Lily. Aria told you that if ((Abigail is a devil) and (if Penelope is a devil then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-tr... | {"split": "train", "index": 15893} |
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 9 inhabitants: Aiden, Harper, Samuel, Emma, Lucas, Penelope, Noah, Daniel, and Jackson. In Aiden's words: \"if Penelope is a hero then Daniel is a hero\". In Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"and\", [\"and\", [\"lying\", 6], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"lying... | {"split": "train", "index": 15894} |
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 9 inhabitants: Ella, Lily, Emma, Penelope, Lucas, Avery, Logan, William, and Chloe. Ella said, \"Lily is a devil.\" Lily told you that (it is not the case that (Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 6]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"and\", [\"lying\", 5],... | {"split": "train", "index": 15895} |
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 9 inhabitants: Owen, Ethan, Noah, Evelyn, Benjamin, Liam, Abigail, Charlotte, and Jacob. Owen stated, \"((Jacob is a knave and Jacob is a knight and Benjamin is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 15896} |
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 9 inhabitants: Grace, Mason, Alexander, Sophia, Riley, Chloe, Isabella, Emily, and Aria. In Grace's words: \"(it is not the case that (Aria is a sage or Isabella is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"or\", [\"lyi... | {"split": "train", "index": 15897} |
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 9 inhabitants: Harper, Isabella, Michael, Mia, Ava, Emily, Riley, Logan, and Lucas. Harper commented, \"((if Emily is an altruist then Michael is an egoist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"lying\", 2]... | {"split": "train", "index": 15898} |
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 9 inhabitants: William, Isabella, Jacob, Jack, Amelia, Riley, Grace, Lucas, and Alexander. As William put it, \"Jacob is a sinner\". Isabella noted, \"((if Amelia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 8], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 8]],... | {"split": "train", "index": 15899} |
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