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: Emily, Sofia, Ella, Victoria, Jackson, Avery, Aria, Owen, and David. Emily was heard saying, \"it is not the case that (David is a sage if and only if Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 8], [\"lying\", 8], ... | {"split": "train", "index": 9700} |
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: Ava, Michael, Jacob, Lily, Ethan, Mason, Grace, Samuel, and Zoey. \"it is not the case that (Zoey is a hero or Jacob is a villain),\" Ava claimed. As... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 5]]], [\"lying\", 6], [\"not\", [\"telling-truth\", 5... | {"split": "train", "index": 9701} |
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: Jacob, Noah, Mason, Michael, James, Charlotte, Logan, Ava, and Grace. Jacob commented, \"it is not the case that (if Charlotte is a knave then Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"not\", [\"->\", [\"lying\", 5], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"lying\", 1], [\"->\", [\"telling-t... | {"split": "train", "index": 9702} |
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, Benjamin, Jack, Sophia, Grace, Samuel, Riley, Abigail, and Elizabeth. Isabella was heard saying, \"(Elizabeth is a fool or Benjamin is a sage) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1]], [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\... | {"split": "train", "index": 9703} |
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: Amelia, Aurora, Emily, Matthew, Ava, Sofia, Oliver, Ella, and Olivia. Amelia remarked, \"(Sofia is an angel if and only if Ella is an angel) and Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]], [\"lying\", 7]], [\"telling-truth\... | {"split": "train", "index": 9704} |
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: Ava, Liam, Jacob, Noah, Sofia, Owen, Jackson, Victoria, and Avery. \"(Victoria is a knight if and only if Jackson is a knave) and (if Liam is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"not... | {"split": "train", "index": 9705} |
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: Logan, Evelyn, Lucas, William, Joseph, Ella, Sebastian, Olivia, and Oliver. Logan was heard saying, \"(William is a devil if and only if William is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"lying\", 7]... | {"split": "train", "index": 9706} |
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: Evelyn, Sofia, Sebastian, James, Henry, Chloe, Emma, Emily, and Penelope. Evelyn asserted: \"(James is a villain if and only if Sebastian is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 7]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\",... | {"split": "train", "index": 9707} |
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: David, Ethan, Grace, Scarlett, Elizabeth, Benjamin, Owen, Chloe, and Evelyn. In David's words: \"it is not the case that (Benjamin is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 0]], [\"->\"... | {"split": "train", "index": 9708} |
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: Emma, Abigail, Jacob, Aria, Jack, Joseph, Aurora, Alexander, and Sofia. Emma told you that Aria is an angel or (Aurora is a devil and Alexander is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"or\", [\"... | {"split": "train", "index": 9709} |
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, Logan, James, Aiden, Harper, Grace, Isabella, Zoey, and Ethan. Evelyn stated, \"Zoey is an angel\". Logan expressed that it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"telling-truth\", 7], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 5]], [\"and\", [\"or\", [\"telling-truth\", 0]... | {"split": "train", "index": 9710} |
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, Oliver, Lily, Riley, Ethan, Isabella, Matthew, Elizabeth, and Jackson. \"(Matthew is a laggard) or (if Elizabeth is a laggard then Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"lying\", 7], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 5]], [\"telling-truth\", 5]], [\"and\", [\"->\", [\"telling-t... | {"split": "train", "index": 9711} |
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: Riley, Logan, Aurora, Liam, Samuel, Sebastian, Michael, Amelia, and Charlotte. \"if (Charlotte is a sinner or Sebastian is a saint or Charlotte is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"or\", [\"lying\", 2], [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\... | {"split": "train", "index": 9712} |
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: Oliver, Chloe, Isabella, Logan, Noah, Aurora, Michael, Liam, and Zoey. Oliver was heard saying, \"if (Isabella is a knave and Chloe is a knight and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", ... | {"split": "train", "index": 9713} |
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: Abigail, Emily, Sofia, Evelyn, Elizabeth, Luke, Aiden, Oliver, and Isabella. Abigail commented, \"(Sofia is a pioneer or Isabella is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 5]], [\"lying\", 8]], [\"<=>\", [\"<=>... | {"split": "train", "index": 9714} |
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, Oliver, Jacob, Luke, Sophia, Charlotte, Sofia, Joseph, and Scarlett. Abigail was heard saying, \"if (if Sophia is a saint then Jacob is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"tell... | {"split": "train", "index": 9715} |
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: Emily, Lily, Owen, Grace, Luke, Henry, Zoey, Oliver, and Penelope. \"(Owen is a laggard and Grace is a pioneer and Henry is a laggard) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 4]], [\"lying\", 2]], [\"telling-truth\", 6],... | {"split": "train", "index": 9716} |
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: Elizabeth, Avery, Luke, Evelyn, Alexander, Sophia, Victoria, Mason, and Lily. Elizabeth stated, \"(Alexander is a fool if and only if Lily is a fool) or (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 6], [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lyin... | {"split": "train", "index": 9717} |
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: Penelope, Chloe, Aiden, Abigail, Benjamin, Sophia, Joseph, Oliver, and Victoria. Penelope expressed that if (Aiden is a fool) then (Chloe is a fool if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"not\", [\"lying\", 5]], [\"lying\", 6], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"or\", [\"te... | {"split": "train", "index": 9718} |
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, Riley, Avery, Noah, Evelyn, Sebastian, Joseph, Michael, and Alexander. According to Luke, \"(Evelyn is a villain or Alexander is a hero) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-tru... | {"split": "train", "index": 9719} |
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: Logan, Riley, Ava, Avery, Luke, Ethan, William, Emma, and Evelyn. \"it is not the case that (Luke is an angel and Emma is an angel and Ethan is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", ... | {"split": "train", "index": 9720} |
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: Emma, Joseph, Noah, Sebastian, James, Ella, Chloe, Liam, and Oliver. In a statement by Emma: \"if (James is an egoist or Noah is an egoist) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 1]], [\"or\", [\"lying\", 6], [\"and\", [\"lying\", 4], [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"or\", [\"lying\", 8], [\"telling-... | {"split": "train", "index": 9721} |
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: Jack, Oliver, Logan, Ella, Daniel, Aurora, Jacob, Joseph, and Charlotte. \"Aurora is a pioneer,\" Jack claimed. Oliver said, \"(Aurora is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 5]... | {"split": "train", "index": 9722} |
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, Isabella, Mason, Luke, Penelope, Chloe, Matthew, Harper, and Scarlett. Owen noted, \"(Isabella is a sinner if and only if Chloe is a sinner) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]], [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"or\", [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 5]]], [\"telling-truth\", 1], [\... | {"split": "train", "index": 9723} |
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: James, David, Benjamin, Evelyn, Samuel, Aurora, Owen, Harper, and Joseph. James commented, \"Samuel is a saint\". David said, \"if (Evelyn is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 9724} |
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, Scarlett, Oliver, Joseph, Emma, Aurora, William, Alexander, and Elizabeth. Ethan noted, \"if William is a laggard then (Scarlett is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"->\", [\"lying\", 6], [\"and\", [\"lying\", 1], [\"lying\", 6]]], [\"lying\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]],... | {"split": "train", "index": 9725} |
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: Lucas, Charlotte, Luke, Chloe, Owen, Sebastian, Lily, Logan, and Amelia. \"Amelia is a pioneer or (Chloe is a pioneer or Amelia is a laggard or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 3], [\"lying\", 8], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4]], [\"lying\", 2]], [\"not\", [\"and\", ... | {"split": "train", "index": 9726} |
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: Luke, Chloe, Ella, Benjamin, Lucas, Amelia, Joseph, Sophia, and Logan. Luke commented, \"Logan is a knave\". \"if (Luke is a knight and Logan is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"lying\", 8], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"<=>\", [\"lying\", 0], [\"<=>\", [\"lying\", 3], [\"lying... | {"split": "train", "index": 9727} |
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, Logan, Emma, Ava, Riley, Abigail, Chloe, Isabella, and Jacob. Owen told you that Emma is a fool. In a statement by Logan: \"(if Chloe is a sage then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"lying\", 2], [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]], ... | {"split": "train", "index": 9728} |
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: Michael, Scarlett, Owen, Harper, Zoey, Aurora, Olivia, Victoria, and Evelyn. Michael told you that it is not the case that (if Michael is a hero then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"->\", [\"telling-truth... | {"split": "train", "index": 9729} |
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: Emma, Olivia, Isabella, Evelyn, William, Elizabeth, Scarlett, Owen, and Michael. In Emma's words: \"(Olivia is a devil) if and only if (Evelyn is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"->\", [\"and\", [\"telling-truth\", 0]... | {"split": "train", "index": 9730} |
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: Benjamin, Riley, Mia, Michael, Henry, Harper, Jack, Scarlett, and William. Benjamin remarked, \"Jack is a saint or (if Michael is a sinner then Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"and\", [\"lying\", 8], [\"or\", [\"telling-truth\", 6], [\"... | {"split": "train", "index": 9731} |
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: Grace, Daniel, Sebastian, James, Abigail, Emma, Noah, Emily, and Matthew. Grace told you that (if Daniel is an egoist then James is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 5]]], [\"telling-truth\", 5], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 9732} |
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: Charlotte, Owen, Lily, Noah, Evelyn, Grace, Emily, Daniel, and Alexander. \"it is not the case that (Noah is a fool and Evelyn is a sage and Daniel is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 4]]... | {"split": "train", "index": 9733} |
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: Victoria, Emma, Ella, Abigail, Harper, Sebastian, Michael, Elizabeth, and Daniel. \"if (Daniel is an egoist and Michael is an egoist and Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"lying\", 6], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 6... | {"split": "train", "index": 9734} |
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: Michael, Penelope, Scarlett, Sophia, Daniel, Riley, Mia, Henry, and Ava. \"Ava is a knight and (Penelope is a knight if and only if Mia is a knave),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"tel... | {"split": "train", "index": 9735} |
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: Mason, Matthew, Aiden, Chloe, Lily, Penelope, Henry, Sofia, and Logan. \"(if Mason is an angel then Henry is a devil) and (Aiden is an angel if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0... | {"split": "train", "index": 9736} |
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: Oliver, Alexander, Penelope, Luke, Avery, Logan, Joseph, Owen, and Mia. Oliver said that Alexander is a knave and (Alexander is a knave if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"lying\", 1], [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 5], [\"lying\", 0]]], [\"<=>\", [\"or\", [\"telling-truth\"... | {"split": "train", "index": 9737} |
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: Sebastian, Michael, Avery, Grace, Ella, Abigail, Zoey, Aurora, and Matthew. \"Aurora is a hero,\" Sebastian claimed. Michael said that if (Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1], [\"lying\", 6]], [\"lying\", 6]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"te... | {"split": "train", "index": 9738} |
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: Luke, Henry, James, Sofia, Emily, Aiden, David, Ella, and Mason. According to Luke, \"(Sofia is a pioneer if and only if David is a laggard) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 7]]], [\"lying\", 3], [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\... | {"split": "train", "index": 9739} |
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: Ella, Isabella, Amelia, Emma, Benjamin, Harper, Michael, Elizabeth, and Logan. Ella commented, \"(if Michael is a sage then Elizabeth is a sage) and (Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"tel... | {"split": "train", "index": 9740} |
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: Chloe, Lily, Jack, Liam, Emily, Noah, William, Charlotte, and Evelyn. Chloe expressed that it is not the case that (Noah is an egoist or Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"not\", [\"or\", [\"lying\", 5], [\"lying\", 8]]], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"or\", [\"lyin... | {"split": "train", "index": 9741} |
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: Joseph, Jackson, Matthew, Aiden, Michael, James, Henry, Abigail, and Lucas. Joseph expressed that if (Abigail is a saint and Lucas is a sinner and Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8], [\"telling-truth\", 1]], [\"not\", [\"lying\", 8]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8]... | {"split": "train", "index": 9742} |
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: Daniel, Sophia, Liam, Isabella, Ethan, Ella, Lucas, Mia, and William. Daniel said that (Mia is an egoist) and Isabella is an altruist and (Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"not\", [\"lying\", 8]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 9743} |
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: Mason, Scarlett, Ethan, Emma, Daniel, Samuel, Aiden, Charlotte, and Jacob. Mason said that (Jacob is an angel) or (Ethan is an angel and Samuel is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"or\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"telling-truth\", 5], [\"<=>\", [\"lying\", 0], [\"lying\", 6]], [\"not\", [\"not\... | {"split": "train", "index": 9744} |
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: Emily, Sofia, Sebastian, Jacob, Zoey, Liam, Jack, James, and Michael. Emily said that Jacob is a laggard. Sofia stated, \"Michael is a pioneer\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"lying\", 3], [\"telling-truth\", 8], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"and\", [\"or\", [\"tell... | {"split": "train", "index": 9745} |
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, Benjamin, Matthew, Noah, Daniel, Ava, Sofia, Victoria, and Scarlett. In a statement by Penelope: \"(Ava is an angel and Daniel is a devil) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 9746} |
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: Harper, Chloe, Olivia, Matthew, Samuel, Sebastian, Sophia, Isabella, and Liam. \"Matthew is an angel,\" Harper declared. Chloe noted, \"if (Sebastian i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 9747} |
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, Ethan, Owen, Emma, Chloe, Liam, Sophia, Matthew, and Luke. Amelia said, \"if (Luke is a sage if and only if Chloe is a sage) then (Liam is a fool).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 0... | {"split": "train", "index": 9748} |
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: Jack, Emily, Joseph, Ella, Aurora, Sebastian, Noah, Chloe, and Olivia. \"if (if Aurora is a sage then Olivia is a sage) then (Joseph is a fool and Emily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 7], [\"->\", [\"or\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 9749} |
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: Emma, Victoria, Charlotte, Benjamin, Henry, Zoey, Ella, Ethan, and Olivia. Emma was heard saying, \"Ethan is a knight if and only if Olivia is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 6]], [\"not\", [\"lying\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]]... | {"split": "train", "index": 9750} |
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: Aurora, Alexander, Mason, Noah, Samuel, Amelia, Penelope, Scarlett, and Avery. Aurora said, \"(Samuel is a sinner if and only if Mason is a sinner) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"lying\", 7]], [\"telling-truth\", 6]], [\"or\", [\"or\", [\"telling-truth\", 6], [\"lying\", 6], [\"tell... | {"split": "train", "index": 9751} |
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, Grace, Noah, Ava, William, Michael, David, Ethan, and Joseph. In Aria's words: \"(William is a laggard or Noah is a pioneer or Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"telling-truth\", 6], [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"lying\",... | {"split": "train", "index": 9752} |
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: Harper, Owen, Sofia, Olivia, Aurora, Ella, Jacob, Chloe, and Emma. Harper commented, \"if (Owen is a knave if and only if Emma is a knave) then (Auro... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 3]]], [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"and\", [\"<=>\", [\"lying\", 8],... | {"split": "train", "index": 9753} |
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, Chloe, Scarlett, Lily, Avery, Noah, Mason, Elizabeth, and Jack. \"(Scarlett is a devil and Avery is an angel) or Jack is an angel or (Lily is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 8], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 2]], ... | {"split": "train", "index": 9754} |
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: Michael, Lily, Abigail, Jackson, Scarlett, Noah, Ethan, Grace, and Evelyn. Michael said that (Ethan is a hero and Scarlett is a villain and Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 4], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"not\", [\"te... | {"split": "train", "index": 9755} |
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: James, Henry, Luke, Samuel, Emma, Elizabeth, Scarlett, Isabella, and Michael. James was heard saying, \"Luke is a sage\". \"(Scarlett is a sage or Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 6], [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"lying\", 3]], [\"lying\", 5]], [\"->\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 9756} |
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: Michael, Mason, Matthew, Logan, Emily, James, Daniel, David, and Noah. \"it is not the case that (Daniel is a villain or Noah is a villain or Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"not\", [\"or\", [\"lying\", 6], [\"lying\", 8], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\",... | {"split": "train", "index": 9757} |
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, Samuel, Sophia, Alexander, Jacob, Matthew, Aiden, Benjamin, and Mason. Isabella said, \"(Alexander is an egoist or Benjamin is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 7]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 5], [\"telling-truth\", 8]], [\"and\", [\"lying\", 7], ... | {"split": "train", "index": 9758} |
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: Avery, Victoria, Emily, Harper, Aria, Riley, Benjamin, Lucas, and Isabella. According to Avery, \"(Riley is a villain or Avery is a hero) or Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"telling-truth\", 8], [\"lying\"... | {"split": "train", "index": 9759} |
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, Michael, William, Noah, David, Jackson, Matthew, Sophia, and James. Isabella stated, \"(if Noah is an altruist then David is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 7]], [\"telling-truth\", 6], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\"... | {"split": "train", "index": 9760} |
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, Mason, Scarlett, Luke, Noah, Logan, Matthew, Riley, and Ava. William was heard saying, \"(Noah is a sage or Luke is a sage or Ava is a fool) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"and\", [\"lying\", 0], [\"and\", [\"lying\", 6], [\"telling-truth... | {"split": "train", "index": 9761} |
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: Jackson, Evelyn, Logan, Henry, Jack, Ella, Olivia, Owen, and Liam. Jackson told you that it is not the case that (Olivia is an egoist). \"if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"telling-truth\", 7]], [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"and\", [\"lying\", 1],... | {"split": "train", "index": 9762} |
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: James, Joseph, Olivia, Samuel, Oliver, Elizabeth, Chloe, Evelyn, and Ethan. In James's words: \"Elizabeth is a sage\". Joseph noted, \"Elizabeth is a fool\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"telling-truth\", 5], [\"lying\", 5], [\"or\", [\"lying\", 0], [\"lying\", 8]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"lying\", 5... | {"split": "train", "index": 9763} |
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: Michael, Daniel, Liam, Joseph, Harper, Logan, Aiden, Evelyn, and David. Michael expressed that Harper is a sage. \"if Harper is a sage then (Liam is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]], ... | {"split": "train", "index": 9764} |
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: Grace, Jack, Sophia, Michael, Chloe, Abigail, Daniel, Zoey, and Olivia. Grace stated, \"it is not the case that (Jack is a hero)\". Jack remarked, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-... | {"split": "train", "index": 9765} |
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: Ava, Chloe, Noah, Abigail, Aurora, Owen, Aiden, Avery, and Samuel. \"(Abigail is an angel or Abigail is a devil or Samuel is an angel) and (Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 8]], [\"and\", [\"lying\", 7], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"->\", [\"<=>\",... | {"split": "train", "index": 9766} |
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: Avery, Sofia, Ella, Oliver, Elizabeth, Victoria, Michael, Daniel, and Jacob. Avery was heard saying, \"(Ella is an angel) or Oliver is an angel or (Dan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 5], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 9767} |
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: Henry, Victoria, Sebastian, Ava, Sofia, Avery, William, Abigail, and Jacob. Henry noted, \"Ava is an angel\". As Victoria put it, \"if (William is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8], [\"lying\", 5]]], ... | {"split": "train", "index": 9768} |
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: William, Ella, James, Oliver, Jackson, Abigail, Harper, Charlotte, and Lucas. William remarked, \"Oliver is an egoist\". Ella said that it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 5]], [\"lying\", 7]], [\"not\",... | {"split": "train", "index": 9769} |
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: Avery, Jack, Alexander, Emily, Sofia, James, Ella, Riley, and David. According to Avery, \"(Emily is a knave and Ella is a knight) or (James is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"and\... | {"split": "train", "index": 9770} |
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: Evelyn, Michael, Riley, Aiden, Oliver, Victoria, Chloe, Liam, and Scarlett. Evelyn said, \"if (Scarlett is a pioneer or Aiden is a laggard or C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\", 6]], [\"->\", [\"lying\", 2], [\"lying\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"telling-... | {"split": "train", "index": 9771} |
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, Jack, Aria, Sophia, Matthew, Scarlett, Lily, Joseph, and Noah. Penelope told you that (if Aria is an angel then Jack is a devil) and Matthew ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 4], [\"->\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telli... | {"split": "train", "index": 9772} |
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, Abigail, Emma, Penelope, Ella, Alexander, Jack, Aria, and William. Jacob expressed that (if William is a devil then Alexander is a devil) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"or\", [\"lying\", 5], [\"lying\", 2], [\"lying\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 7], [\"lying\", 3],... | {"split": "train", "index": 9773} |
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, Aria, Chloe, Ethan, Jackson, Daniel, Ava, Olivia, and William. In Alexander's words: \"if (Chloe is a sinner and Chloe is a saint) then (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<... | {"split": "train", "index": 9774} |
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, Zoey, Victoria, Jack, Charlotte, Elizabeth, Luke, Lucas, and Abigail. \"Elizabeth is a sage,\" Sebastian mentioned. Zoey commented, \"Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"telling-truth\", 5], [\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 3]]], [\"->\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\... | {"split": "train", "index": 9775} |
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: Abigail, Aurora, Amelia, Penelope, Daniel, Owen, Ella, Isabella, and Noah. \"if (Owen is a laggard and Noah is a laggard) then (if Isabella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"lying\", 8]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"lyin... | {"split": "train", "index": 9776} |
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: Luke, David, Ava, Alexander, Harper, Sophia, Ella, Scarlett, and Emily. Luke asserted: \"(David is a pioneer or Harper is a pioneer or Luke is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 9777} |
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: Sebastian, Logan, Ella, Sofia, Ethan, Aria, Emily, Mia, and William. \"(Ella is an angel or Mia is a devil) or (Aria is a devil) or Ella is a devil,\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 7]], [\"not\", [\"telling-truth\", 5]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"tell... | {"split": "train", "index": 9778} |
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, Olivia, Chloe, Harper, Noah, Owen, Elizabeth, Scarlett, and Zoey. As Emily put it, \"if (Harper is a devil if and only if Harper is an angel) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 0]], [\"<=>\", ... | {"split": "train", "index": 9779} |
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: Ava, Aurora, Sophia, Charlotte, Oliver, James, Victoria, Zoey, and Samuel. Ava told you that (Victoria is an egoist) if and only if Oliver is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 9780} |
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: Ava, Benjamin, Emily, Jackson, Sofia, Lucas, Lily, Sebastian, and Victoria. Ava expressed that Victoria is a knight. Benjamin noted, \"(if Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 0]], [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 6]]], [\"lying\", 0], [\"<=>\", [\"or\", [\"lying\", 7], [\"lyi... | {"split": "train", "index": 9781} |
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: James, Daniel, Matthew, Ava, Evelyn, Mia, Chloe, Noah, and Harper. James noted, \"if (Evelyn is a sinner if and only if Mia is a sinner) then (Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2... | {"split": "train", "index": 9782} |
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, Olivia, Jackson, Oliver, Abigail, Lily, Henry, Avery, and Jacob. Penelope remarked, \"(Henry is a devil) and Jacob is a devil\". \"it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 8]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 5]]], [\"telling-truth\", 6], [\"and\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 9783} |
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, Elizabeth, Liam, Noah, Aurora, Penelope, Aria, Avery, and Ella. Sofia commented, \"(Noah is a sage) if and only if (if Sofia is a sage then Ella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"not\", [\"lying\", 0]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"telling-... | {"split": "train", "index": 9784} |
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: Oliver, Owen, Jackson, Mason, Ella, Harper, Emma, Aurora, and Evelyn. Oliver said, \"Owen is a villain.\" As Owen put it, \"(Evelyn is a villain) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"lying\", 1], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"lying\", 1], [\"->\", [\"telling-tru... | {"split": "train", "index": 9785} |
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: Ethan, Scarlett, Samuel, Ava, Elizabeth, Isabella, David, Victoria, and Daniel. \"if (Victoria is an egoist if and only if Scarlett is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"te... | {"split": "train", "index": 9786} |
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: Samuel, Daniel, Jackson, Grace, Charlotte, Matthew, Harper, Isabella, and Ava. \"if (Isabella is a knight if and only if Jackson is a knight) then (C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]]], [\"->\"... | {"split": "train", "index": 9787} |
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: Sofia, Olivia, Henry, Aiden, Aria, Penelope, Jacob, Ella, and Jack. \"(Aria is a pioneer and Henry is a pioneer and Olivia is a pioneer) or (So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\... | {"split": "train", "index": 9788} |
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: Chloe, Matthew, Owen, Aria, Elizabeth, Alexander, Abigail, Jack, and Avery. \"if (Chloe is an altruist or Elizabeth is an egoist) then Matthew ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 9789} |
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: Benjamin, Jackson, Harper, Evelyn, Elizabeth, Abigail, Zoey, Charlotte, and Grace. Benjamin expressed that it is not the case that (Elizabeth is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"lying\", 8], [\"->\", [\"->\", [\"telling-truth\", 7], [\"tel... | {"split": "train", "index": 9790} |
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: Samuel, Avery, Amelia, Joseph, Luke, Penelope, Riley, Victoria, and Daniel. Samuel told you that (Amelia is a pioneer and Riley is a laggard) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-tru... | {"split": "train", "index": 9791} |
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: Daniel, Ava, Luke, Liam, Isabella, Owen, Aurora, Logan, and Aiden. Daniel said that (Ava is a sage) and (Luke is a fool). Ava expressed that it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 3]]], [\"and\", [\"lying\", 5], [\"telling-truth\",... | {"split": "train", "index": 9792} |
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: Sofia, Elizabeth, Aiden, Joseph, Evelyn, Samuel, Sophia, Abigail, and Jacob. According to Sofia, \"Abigail is a sinner\". Elizabeth remarked, \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 6], [\"not\", [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"... | {"split": "train", "index": 9793} |
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: Michael, Matthew, Mia, Lily, Alexander, Daniel, Ella, Joseph, and Chloe. Michael told you that if (if Lily is a villain then Mia is a villain) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or... | {"split": "train", "index": 9794} |
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, Mason, Jackson, Riley, Liam, Chloe, Aurora, Benjamin, and Elizabeth. Luke expressed that it is not the case that (if Liam is a hero then Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 4], [\"or\", [\"telling-truth\", 6], [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"not\", [\"lying\", 7]]], [\"not\", [\"te... | {"split": "train", "index": 9795} |
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: Elizabeth, Aria, Lucas, Matthew, Sofia, Benjamin, Grace, Owen, and Sophia. Elizabeth said, \"(Benjamin is a sinner or Sophia is a saint or Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 1]], [\"<=>\", ... | {"split": "train", "index": 9796} |
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: Sophia, Sebastian, Harper, Evelyn, Riley, Henry, Elizabeth, Jack, and Sofia. Sophia told you that (Harper is an egoist if and only if Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"lying... | {"split": "train", "index": 9797} |
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: Riley, Sebastian, Chloe, Amelia, Alexander, Daniel, David, Charlotte, and Samuel. \"if (Daniel is a knight if and only if Charlotte is a knight) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 6]], [... | {"split": "train", "index": 9798} |
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: Avery, Daniel, Jackson, Mia, Evelyn, Scarlett, Charlotte, Aria, and Elizabeth. Avery asserted: \"it is not the case that (Charlotte is a hero)\". Dan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"not\", [\"not\", [\"lying\", 6]]], [\"telling-truth\", 8], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 0], [\"lying\", 7]], [\"lying\", 0], [\"lying\", 8]], [\"not\", [\"->\", [\"telling-tru... | {"split": "train", "index": 9799} |
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