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: Michael, David, Penelope, Olivia, and Ethan. Michael expressed that Ethan is a pioneer if and only if (if (if Ethan is a laggard then Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 4... | {"split": "train", "index": 16200} |
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, Victoria, William, Jack, and Olivia. \"Victoria is a villain\" - Noah. Victoria expressed that William is a villain. William asserted: \"(it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"lying\", 1], [\"lying\", 2], [\"<=>\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or... | {"split": "train", "index": 16201} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Ethan, Matthew, Evelyn, and Samuel. James remarked, \"((if James is a knight then Evelyn is a knave) if and only if (Matthew is a knave)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 2... | {"split": "train", "index": 16202} |
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: Noah, Harper, Olivia, Benjamin, and Isabella. Noah told you that Benjamin is a pioneer. Harper expressed that (if (Isabella is a laggard and Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 0]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telli... | {"split": "train", "index": 16203} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Henry, Grace, Olivia, and Samuel. William was heard saying, \"((Samuel is a villain or Grace is a hero) if and only if (Olivia is a hero or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [... | {"split": "train", "index": 16204} |
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: Penelope, Olivia, Amelia, Ethan, and Joseph. As Penelope put it, \"((Amelia is a hero and Ethan is a villain and Olivia is a villain) or Olivia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"ly... | {"split": "train", "index": 16205} |
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: Aiden, Alexander, Amelia, Zoey, and Benjamin. \"(if Alexander is an egoist then Aiden is an altruist) and Benjamin is an altruist and (Zoey is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]... | {"split": "train", "index": 16206} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Aurora, Michael, Grace, and Amelia. Charlotte commented, \"if (if (if Grace is an angel then Aurora is an angel) then (Amelia is a devil and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 4]]... | {"split": "train", "index": 16207} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, James, Aiden, Matthew, and Avery. As Ethan put it, \"it is not the case that ((if James is an egoist then Matthew is an egoist) and (Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3]]]], [\"or\", [\"->\", [\"no... | {"split": "train", "index": 16208} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Isabella, Grace, Mia, and William. \"it is not the case that ((Mia is an altruist or Isabella is an altruist or Mia is an egoist) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 2]]], [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 16209} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Lucas, Liam, Harper, and Jack. Lily said that ((Liam is an egoist and Liam is an altruist) and (Lucas is an egoist and Lily is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling... | {"split": "train", "index": 16210} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Henry, Oliver, James, Sophia, and Mia. Henry stated, \"((Sophia is a knave) if and only if (Mia is a knight and Sophia is a knight and James is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling... | {"split": "train", "index": 16211} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Jackson, Mia, Riley, and Aurora. In a statement by Lily: \"((Riley is an altruist and Mia is an egoist) if and only if Jackson is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 1]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", ... | {"split": "train", "index": 16212} |
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: David, Abigail, Aiden, Sebastian, and Ethan. David said that (it is not the case that (Ethan is a knight)) if and only if (Aiden is a knave and (Aide... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"not\", [\"lying\... | {"split": "train", "index": 16213} |
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, Michael, Olivia, Victoria, and Oliver. Logan was heard saying, \"((if Oliver is a knight then Olivia is a knave) if and only if (Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 2]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 0], [\"telling-... | {"split": "train", "index": 16214} |
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, Logan, Charlotte, Avery, and Alexander. David was heard saying, \"if (Alexander is a hero and (Charlotte is a villain if and only if Logan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"and\", [\... | {"split": "train", "index": 16215} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Ethan, Abigail, Isabella, and Oliver. Amelia remarked, \"(it is not the case that (if Isabella is a laggard then Isabella is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"telling-tru... | {"split": "train", "index": 16216} |
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: Benjamin, Michael, Ethan, Emily, and Sebastian. Benjamin stated, \"(it is not the case that (Sebastian is a fool if and only if Ethan is a sage)) or (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"telling-truth\", 3], [\"not\", [\"->\", [\"and\", [\"lying\"... | {"split": "train", "index": 16217} |
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, Amelia, Olivia, Ethan, and Aiden. As Scarlett put it, \"it is not the case that (if (if Aiden is a saint then Ethan is a saint) then (if Ai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"not\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]... | {"split": "train", "index": 16218} |
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: Olivia, Lily, Ethan, Joseph, and James. \"it is not the case that (it is not the case that (Ethan is a villain and Lily is a villain))\" - Olivia. In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 1]]]], [\"lying\", 2], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 3], [\"and\", [\... | {"split": "train", "index": 16219} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Michael, Aria, Matthew, and Ava. Aurora said, \"(if (if Ava is an egoist then Aria is an altruist) then (Michael is an altruist or Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"tell... | {"split": "train", "index": 16220} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Noah, James, Joseph, and Ethan. In a statement by Amelia: \"((Joseph is a saint if and only if Ethan is a sinner) and (James is a saint or No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 2]], [\"and\", [\"->\", [\"lying\", 2],... | {"split": "train", "index": 16221} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Owen, Zoey, Ella, James, and Luke. Owen noted, \"(Ella is a sage and (Ella is a fool and Luke is a sage and Luke is a fool) and (James is a fool)) and ((Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\... | {"split": "train", "index": 16222} |
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, Charlotte, Sebastian, and Mason. Harper said, \"it is not the case that (Sebastian is a hero if and only if (Harper is a villain)).\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], ... | {"split": "train", "index": 16223} |
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, Lucas, Grace, Isabella, and Benjamin. Zoey remarked, \"Benjamin is an altruist\". Lucas remarked, \"it is not the case that (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"telling-truth\", 3]], [\"not\", [\"-... | {"split": "train", "index": 16224} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ethan, Evelyn, James, Harper, and Lucas. Ethan expressed that ((Ethan is an altruist and Harper is an altruist) or (Lucas is an altruist or Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"ly... | {"split": "train", "index": 16225} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Zoey, Aurora, Benjamin, and Mia. Grace expressed that it is not the case that ((Aurora is a sage and Aurora is a fool and Mia is a sage) and (if Aur... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"and\", [\"not\", ... | {"split": "train", "index": 16226} |
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, Jackson, Aurora, Ethan, and Luke. In Victoria's words: \"((Luke is a fool or Luke is a sage) if and only if (Ethan is a sage and Aurora is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\"... | {"split": "train", "index": 16227} |
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: Noah, Evelyn, Victoria, Aurora, and Amelia. In Noah's words: \"((if Evelyn is a devil then Evelyn is an angel) and (Victoria is a devil)) and (if Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 4], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 3], [... | {"split": "train", "index": 16228} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Charlotte, Sophia, Michael, and Jack. Penelope asserted: \"Penelope is a knight or Charlotte is a knave or Michael is a knight\". Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [... | {"split": "train", "index": 16229} |
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: Riley, Mia, David, Emma, and Zoey. Riley noted, \"(it is not the case that (David is a fool)) or ((David is a fool and Riley is a sage and David is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\"... | {"split": "train", "index": 16230} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Harper, Daniel, Alexander, Samuel, and Benjamin. Harper expressed that Alexander is a devil. Daniel told you that (if (Harper is a devil and Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"lying\", 2], [\"or\", [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\"... | {"split": "train", "index": 16231} |
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, Alexander, Scarlett, and David. Owen expressed that David is a villain. William remarked, \"Owen is a villain if and only if (Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\... | {"split": "train", "index": 16232} |
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: Noah, Henry, Scarlett, Mia, and Aiden. Noah told you that Henry is a knight. Henry expressed that (Mia is a knave and (if Mia is a knave then Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"and\", [\"lying\", 3], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"not\", [\"or\", [\"... | {"split": "train", "index": 16233} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, James, Emily, Elizabeth, and Aria. According to Jacob, \"((James is an angel) if and only if (Emily is a devil)) if and only if Aria is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"telling-t... | {"split": "train", "index": 16234} |
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, Victoria, Liam, Lucas, and Zoey. Samuel stated, \"(Liam is a knight if and only if (Samuel is a knave)) or (it is not the case that (Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"lying\", 3]], [\"not\", [\"and\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 16235} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Oliver, Lucas, Grace, Ava, and Aiden. Oliver stated, \"(it is not the case that (Aiden is a hero or Lucas is a villain or Aiden is a villain)) and Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\"... | {"split": "train", "index": 16236} |
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: Jack, Avery, Matthew, Samuel, and Emma. In Jack's words: \"if ((Samuel is an egoist) and (Jack is an altruist and Matthew is an egoist and Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"l... | {"split": "train", "index": 16237} |
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: Ava, Emma, Victoria, Michael, and Owen. According to Ava, \"if Emma is a devil then ((Ava is an angel or Victoria is an angel) if and only if (if Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 16238} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Liam, Olivia, Noah, William, and Joseph. In Liam's words: \"William is an egoist and (if (William is an egoist) then William is an altruist)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3]]], [\"lying\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]]]], [\"not\", [... | {"split": "train", "index": 16239} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Evelyn, Mia, Aurora, and Elizabeth. Michael stated, \"(it is not the case that (Evelyn is a saint and Aurora is a sinner)) or Mia is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 2]], [\"lying\", 4], [\"or\", [\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\"... | {"split": "train", "index": 16240} |
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, Isabella, Emily, Elizabeth, and Jacob. \"Jacob is an angel,\" Mia declared. \"(if (if Elizabeth is a devil then Elizabeth is an angel) then (Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"tel... | {"split": "train", "index": 16241} |
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: Evelyn, Ella, Logan, Liam, and Henry. Evelyn noted, \"(if Evelyn is a saint then Logan is a sinner) or (if (Liam is a sinner) then Ella is a saint)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"n... | {"split": "train", "index": 16242} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Grace, Evelyn, Sofia, Jack, and Zoey. In Grace's words: \"Sofia is a villain if and only if ((if Sofia is a villain then Evelyn is a villain) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"<=>\", [\"lying\", 2], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"tel... | {"split": "train", "index": 16243} |
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: Evelyn, Charlotte, Matthew, Olivia, and Benjamin. Evelyn was heard saying, \"if Benjamin is an egoist then (if Charlotte is an egoist then (Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]], ... | {"split": "train", "index": 16244} |
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, Amelia, Elizabeth, Daniel, and Isabella. \"Daniel is a knight,\" Mason mentioned. Amelia noted, \"Elizabeth is a knight\". Elizabeth asserted:... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 2], [\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", ... | {"split": "train", "index": 16245} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emily, Samuel, Liam, Elizabeth, and William. Emily said, \"((Elizabeth is a knight if and only if William is a knave) or (Liam is a knave if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 16246} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, William, Lily, Logan, and Aiden. Grace said, \"if (Lily is a sinner) then ((Logan is a saint if and only if Aiden is a saint) or (Lily is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telli... | {"split": "train", "index": 16247} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Zoey, Michael, Victoria, and Riley. James remarked, \"it is not the case that ((Riley is a knave or Zoey is a knave) or (Zoey is a knave and M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 16248} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Charlotte, Oliver, Zoey, and Harper. As Scarlett put it, \"Harper is a knight or ((Harper is a knave if and only if Charlotte is a knave) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]... | {"split": "train", "index": 16249} |
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: Lily, Grace, Victoria, Owen, and Aiden. Lily was heard saying, \"(Grace is an angel if and only if (if Grace is a devil then Grace is an angel)) or (it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 16250} |
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, Aurora, Noah, Logan, and Sebastian. Jackson commented, \"it is not the case that ((Logan is a devil if and only if Noah is an angel) and (if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"->\", [... | {"split": "train", "index": 16251} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Evelyn, Daniel, William, and Jackson. Ella expressed that if (if (William is a sinner or Jackson is a saint) then (Daniel is a saint if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 16252} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Elizabeth, Matthew, William, Emma, and Emily. \"if ((William is an egoist or Emma is an altruist or Emily is an egoist) or (Matthew is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 2]], [\"lying\", 2]], [\"not\", [\"<=>\", [\"->\"... | {"split": "train", "index": 16253} |
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: Emma, Amelia, Evelyn, Elizabeth, and Lily. Emma remarked, \"((if Lily is a pioneer then Lily is a laggard) if and only if (Lily is a laggard an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-t... | {"split": "train", "index": 16254} |
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: Penelope, Oliver, Scarlett, Sebastian, and Alexander. \"(it is not the case that (Sebastian is a devil if and only if Oliver is a devil)) and Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"telling-truth\", 2], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"lying\", 2], [\"not\", [\... | {"split": "train", "index": 16255} |
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, Abigail, Jack, James, and Mia. In Harper's words: \"Abigail is an altruist\". \"Mia is an egoist if and only if ((if Mia is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 2], [\"not\", [\"telling-truth\", 3]]]], [\"lying\", 1], [\"->\", [\"not\", [\"... | {"split": "train", "index": 16256} |
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, Emma, Penelope, Lucas, and Abigail. William asserted: \"(if Lucas is a knight then Emma is a knight) and Lucas is a knight and ((Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 16257} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Owen, Mia, Aiden, Abigail, and Charlotte. Owen was heard saying, \"((Abigail is a pioneer) or (Mia is a laggard or Abigail is a pioneer) or (Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-trut... | {"split": "train", "index": 16258} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Zoey, Chloe, Noah, Ella, and Daniel. Zoey stated, \"it is not the case that ((Daniel is a villain or Daniel is a hero or Chloe is a villain) or (Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 3]]]], [\"not\", [\"lying\", 3]], [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 16259} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Harper, Riley, Isabella, and Jack. Luke remarked, \"((Isabella is a pioneer if and only if Luke is a pioneer) or (Luke is a pioneer if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 16260} |
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, Oliver, Alexander, Mia, and Chloe. As Zoey put it, \"(it is not the case that (Oliver is a laggard)) and ((Mia is a pioneer or Chloe is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 2], ... | {"split": "train", "index": 16261} |
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: Henry, Mason, Riley, Penelope, and Sofia. Henry remarked, \"(if (Riley is an angel) then Henry is an angel) and ((Penelope is a devil) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 16262} |
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, Aria, Jack, Mason, and David. As Scarlett put it, \"if (if (Scarlett is a hero or Aria is a hero) then (Aria is a villain)) then ((Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 16263} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Michael, Emily, Mia, Lily, and Matthew. \"(if (Matthew is a devil) then (Michael is an angel or Lily is a devil)) if and only if (if Mia is an angel th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"or... | {"split": "train", "index": 16264} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aurora, Abigail, Luke, Michael, and Matthew. \"((Abigail is a saint if and only if Luke is a saint) if and only if (Aurora is a saint if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 2]... | {"split": "train", "index": 16265} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Isabella, Alexander, Mason, and Chloe. Emma remarked, \"((Emma is an egoist) or (Mason is an altruist or Mason is an egoist or Isabella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2]]], ... | {"split": "train", "index": 16266} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Aria, Aiden, Riley, and Emily. \"(if (Riley is a pioneer if and only if Aiden is a pioneer) then (Riley is a pioneer)) or (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-tru... | {"split": "train", "index": 16267} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jacob, James, Samuel, Olivia, and Oliver. \"if (Jacob is an altruist and (Oliver is an altruist and Olivia is an egoist and Olivia is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", ... | {"split": "train", "index": 16268} |
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, Harper, Emily, Ava, and Ethan. \"it is not the case that ((Ava is a pioneer if and only if Ethan is a pioneer) and (Emily is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"tellin... | {"split": "train", "index": 16269} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Charlotte, Daniel, Aria, Jacob, and Elizabeth. Charlotte commented, \"if (Aria is a hero and (Elizabeth is a villain) and Elizabeth is a villain) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"tell... | {"split": "train", "index": 16270} |
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: Emily, Elizabeth, Sofia, Noah, and Isabella. In Emily's words: \"Elizabeth is a pioneer if and only if (if (Isabella is a pioneer or Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"lying\... | {"split": "train", "index": 16271} |
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: Victoria, Sebastian, Michael, Liam, and Emma. Victoria commented, \"Sebastian is a knave\". \"((if Victoria is a knave then Michael is a knave) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]],... | {"split": "train", "index": 16272} |
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: William, Alexander, Chloe, Michael, and Amelia. William said that if (William is a sinner) then (if (Amelia is a saint) then (Michael is a saint and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"telling-truth\", 0], [\"and... | {"split": "train", "index": 16273} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Emma, Avery, Noah, and Jackson. James remarked, \"(if (James is a knight or Emma is a knight or Noah is a knight) then (Jackson is a knave if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"lying\", 3], [\"not\", [\"lying\", 4]]]], [\"t... | {"split": "train", "index": 16274} |
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, Aria, Jack, Emily, and Zoey. Elizabeth told you that (Zoey is a villain) or (if (Aria is a hero if and only if Zoey is a hero) then (Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-tr... | {"split": "train", "index": 16275} |
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, Samuel, Owen, Avery, and Alexander. Matthew was heard saying, \"((Avery is a knave) or (if Avery is a knight then Alexander is a knave) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]... | {"split": "train", "index": 16276} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Owen, Evelyn, Joseph, Luke, and Samuel. Owen expressed that Luke is a sage. \"(if Joseph is a fool then (Owen is a fool if and only if Samuel is a sage)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4]]]], [\"->\", [\"-... | {"split": "train", "index": 16277} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Grace, Jacob, Aiden, and Liam. According to Amelia, \"it is not the case that (if (Aiden is a sinner or Grace is a saint) then Grace is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"or\", [\"<... | {"split": "train", "index": 16278} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Charlotte, Joseph, Owen, and Alexander. Jacob noted, \"it is not the case that (Charlotte is an angel or (Joseph is an angel or Alexander is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"not\", [\"<=>\", [\"or\", [\"lyi... | {"split": "train", "index": 16279} |
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: Sophia, Aurora, Amelia, Victoria, and Luke. Sophia asserted: \"Amelia is a devil\". \"it is not the case that (Victoria is an angel and (Sophia is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"not\", [\"lying\", 0]], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 0]],... | {"split": "train", "index": 16280} |
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, Zoey, Ella, Elizabeth, and Chloe. Samuel was heard saying, \"((Elizabeth is a knave) or (Zoey is a knight) or (if Ella is a knight then Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]... | {"split": "train", "index": 16281} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mason, Logan, Sebastian, Jackson, and Isabella. In a statement by Mason: \"Jackson is a saint\". Logan noted, \"(it is not the case that (Logan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"telling-... | {"split": "train", "index": 16282} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Oliver, Owen, Zoey, and Noah. Lily asserted: \"(it is not the case that (Noah is an egoist if and only if Lily is an altruist)) and ((Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"no... | {"split": "train", "index": 16283} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Avery, Evelyn, Grace, and Harper. \"((Olivia is an altruist and Avery is an altruist and Grace is an altruist) if and only if (Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telli... | {"split": "train", "index": 16284} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aurora, Jack, Lily, Liam, and Avery. Aurora noted, \"if Avery is a saint then Jack is a sinner\". In a statement by Jack: \"if (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lyin... | {"split": "train", "index": 16285} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ella, Owen, Matthew, Mason, and Amelia. In Ella's words: \"(Mason is a saint or (Amelia is a sinner) or (Mason is a sinner)) and ((Ella is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"t... | {"split": "train", "index": 16286} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Charlotte, Isabella, Emma, and Jack. \"Emma is a knave,\" Benjamin declared. \"Jack is a knave,\" Charlotte mentioned. \"((if Jack is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"lying\", 3], [\"lying\", 4], [\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"and... | {"split": "train", "index": 16287} |
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: Ella, Harper, Aria, Jackson, and Zoey. Ella told you that Jackson is a villain. Harper asserted: \"it is not the case that (Aria is a villain)\". Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 16288} |
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, Noah, Matthew, Liam, and Samuel. Lucas expressed that Matthew is a sage. Noah noted, \"Matthew is a fool\". Matthew said, \"((Liam is a fool) and (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"telling-truth\", 2], [\"lying\", 2], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], ... | {"split": "train", "index": 16289} |
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: Daniel, James, Olivia, Liam, and Joseph. \"James is a sinner,\" Daniel claimed. James was heard saying, \"(James is a saint and Joseph is a sinner an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling... | {"split": "train", "index": 16290} |
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, Mia, Owen, Emma, and Scarlett. Sebastian stated, \"((Sebastian is a knight or Emma is a knight) if and only if (Owen is a knight or Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>... | {"split": "train", "index": 16291} |
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: Alexander, Lucas, Avery, Aiden, and Zoey. Alexander asserted: \"((Zoey is a villain and Aiden is a hero) or (Avery is a hero or Zoey is a villain)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 2]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 16292} |
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: Emma, Zoey, Ava, Chloe, and Noah. Emma was heard saying, \"Zoey is a sage\". \"((Noah is a fool and Chloe is a fool and Noah is a sage) or (Noah is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"not\", [\"lying\", 1]], [\"or\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]... | {"split": "train", "index": 16293} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Owen, Riley, Harper, and Joseph. \"if ((Harper is an egoist or Samuel is an altruist) and (Samuel is an altruist and Owen is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"->\", ... | {"split": "train", "index": 16294} |
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, Joseph, Lily, Owen, and Jack. \"((Owen is a devil or Jack is a devil or Joseph is a devil) if and only if (Lily is a devil or Joseph is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 1]], [\"lying\", 2], [\"->\", [... | {"split": "train", "index": 16295} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Aiden, Daniel, Liam, and Jacob. In Henry's words: \"((Henry is a fool) if and only if (Jacob is a fool)) or (it is not the case that (Liam is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 16296} |
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: Victoria, Jackson, Amelia, Sebastian, and Ava. \"Sebastian is an altruist if and only if Ava is an altruist,\" Victoria declared. \"((Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], ... | {"split": "train", "index": 16297} |
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: Emily, Lily, Sophia, Penelope, and Harper. Emily said that Sophia is an angel or (if (Sophia is a devil) then (if Emily is an angel then Penelope is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 16298} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Isabella, Daniel, Grace, William, and Noah. Isabella told you that if ((Isabella is a pioneer if and only if Daniel is a laggard) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\", 2],... | {"split": "train", "index": 16299} |
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