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 heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aurora, James, Aria, Olivia, Luke, Samuel, Daniel, Mason, and Zoey. Aurora told you that ((Luke is a villain if and only if Mason is a hero) and (Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 566, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"lying\", 4]]], [\"lying\", 5]], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"or\", [\"->\", [\"... | {"split": "train", "index": 13900} |
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: Noah, Aurora, Alexander, Harper, Jack, Lucas, Oliver, Amelia, and Logan. Noah remarked, \"Oliver is an angel\". Aurora said that if ((Amelia is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 567, \"statements\": [[\"not\", [\"lying\", 6]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2]], [\"and\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling... | {"split": "train", "index": 13901} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Penelope, Emily, Grace, Owen, Henry, Charlotte, Harper, Logan, and James. Penelope noted, \"if James is a laggard then (if (Owen is a laggard i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 568, \"statements\": [[\"->\", [\"lying\", 8], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 5], [\"lying\", 3]]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"tellin... | {"split": "train", "index": 13902} |
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: Lily, Emily, Emma, Ella, Elizabeth, Owen, Evelyn, Samuel, and Luke. Lily asserted: \"Ella is a fool\". According to Emily, \"((Lily is a sage) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 569, \"statements\": [[\"lying\", 3], [\"and\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8]]]], [\"->\", [\"and\", [\"->\"... | {"split": "train", "index": 13903} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Noah, Matthew, Benjamin, Elizabeth, Sophia, Zoey, Ella, Aurora, and Charlotte. Noah stated, \"it is not the case that ((Matthew is a villain if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 570, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 0]]], [\"telling-truth\", 6], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]]]], [\"<=>\", ... | {"split": "train", "index": 13904} |
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, Riley, Aiden, James, Lucas, Jackson, Amelia, Luke, and William. Jack noted, \"(it is not the case that (if William is a fool then Amelia is a sage)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 571, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"lying\", 3]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 13905} |
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, Jacob, Jack, Alexander, Evelyn, Zoey, Chloe, Aiden, and Avery. Ava commented, \"(Jack is a knight or (Jack is a knight)) and (it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 572, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\",... | {"split": "train", "index": 13906} |
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: Mia, Evelyn, David, Owen, Michael, Zoey, Jack, Ella, and Avery. Mia noted, \"(if Zoey is a sinner then (Owen is a saint or Mia is a saint)) and (it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 573, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\"->\", [\"or\", [\"<=>\", [\"lying\",... | {"split": "train", "index": 13907} |
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, Sophia, Sebastian, Harper, Scarlett, Matthew, David, Charlotte, and Henry. Luke was heard saying, \"(it is not the case that (if David is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 574, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"->\", [\"lying\", 6], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 0]], [\"or\", ... | {"split": "train", "index": 13908} |
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: Penelope, Jack, Benjamin, Amelia, David, Matthew, William, Michael, and Henry. Penelope remarked, \"Henry is a knave\". Jack remarked, \"((William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 575, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"and\", [\"lying\", 5], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\",... | {"split": "train", "index": 13909} |
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: Ava, Henry, William, Jacob, Alexander, Penelope, Evelyn, Sofia, and Zoey. Ava said, \"if ((Alexander is a sage if and only if Henry is a fool) or (Zoey is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 576, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 5]]]], [\"... | {"split": "train", "index": 13910} |
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: Riley, Penelope, Sebastian, William, Scarlett, Abigail, Liam, Henry, and Avery. Riley said that (if (if Scarlett is a laggard then Abigail is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 577, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 7]... | {"split": "train", "index": 13911} |
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: Mia, Mason, Joseph, Emma, Samuel, Riley, Jackson, Matthew, and James. Mia expressed that (if (Joseph is a sinner or Matthew is a saint) then (Mia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 578, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"and\", [\"not\", [\"lying\", 1]], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling... | {"split": "train", "index": 13912} |
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, David, Evelyn, Mason, Sofia, Sebastian, Penelope, Joseph, and Alexander. Isabella stated, \"if ((Penelope is an altruist or Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 579, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"lying\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"lying\", 4]]]], [\"and\", [\"telling-truth\", 8], [\"... | {"split": "train", "index": 13913} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Victoria, Joseph, Evelyn, Grace, Penelope, Logan, Owen, Samuel, and Michael. Victoria stated, \"(if (if Grace is a sinner then Joseph is a saint) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 580, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-tr... | {"split": "train", "index": 13914} |
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: Elizabeth, Alexander, Sophia, William, Mason, Daniel, Grace, Samuel, and Jackson. \"it is not the case that (if (Samuel is a pioneer or Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 581, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5]]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3]]... | {"split": "train", "index": 13915} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Isabella, Sophia, Charlotte, Penelope, Elizabeth, Zoey, Michael, and Avery. \"if (Michael is a saint if and only if (Zoey is a saint if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 582, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 7], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 13916} |
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: Noah, Olivia, Aurora, Zoey, Luke, Charlotte, Harper, William, and Sofia. Noah noted, \"((Olivia is a saint and Aurora is a sinner) and (Olivia is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 583, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or\", [\"l... | {"split": "train", "index": 13917} |
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: Elizabeth, Jacob, Owen, Samuel, Victoria, Isabella, Aria, Sofia, and Benjamin. \"it is not the case that ((Jacob is an angel or Owen is an angel) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 584, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 5]]]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", ... | {"split": "train", "index": 13918} |
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, Chloe, Aria, William, Isabella, Olivia, Emma, Amelia, and Sebastian. Avery remarked, \"((if Olivia is an angel then William is a devil) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 585, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"lying\", 7]], [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 1], [\"not\", [\"... | {"split": "train", "index": 13919} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: James, Sebastian, Victoria, Michael, Mason, Aria, Jackson, Alexander, and Owen. James said, \"(if (Alexander is a pioneer) then (Michael is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 586, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 4]]]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 5]... | {"split": "train", "index": 13920} |
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: Michael, Elizabeth, Aria, Samuel, Grace, Ava, Liam, Evelyn, and James. Michael said that Liam is a saint. In a statement by Elizabeth: \"if ((Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 587, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 5]], [\"not\", [\"telling-... | {"split": "train", "index": 13921} |
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: Harper, Luke, Emma, Liam, Noah, Evelyn, Aria, Isabella, and Jacob. \"Isabella is a sinner and ((Noah is a saint or Luke is a sinner) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"and\", [\"lying\", 7], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 7], [\"lying\", 5]]]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]... | {"split": "train", "index": 13922} |
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: Elizabeth, Emma, Michael, Benjamin, Jacob, Harper, Matthew, Abigail, and Avery. Elizabeth commented, \"((Abigail is a devil and Emma is a devil) or (Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]]], [... | {"split": "train", "index": 13923} |
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, Jacob, Mason, Sophia, William, Emily, Mia, Sebastian, and James. \"((James is a pioneer or Sebastian is a pioneer) or (if Sophia is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"lying\", 8]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lyin... | {"split": "train", "index": 13924} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aurora, Sophia, Amelia, Alexander, Chloe, Riley, Isabella, Penelope, and Aiden. Aurora told you that if ((Aiden is an altruist) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"lying\", 3]]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]]... | {"split": "train", "index": 13925} |
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: Harper, Chloe, Sebastian, Oliver, Abigail, Alexander, Michael, Owen, and Noah. According to Harper, \"if ((if Abigail is a fool then Chloe is a fool) or (M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 6], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 2]], [\"or\", [\"lying\", 6], [\"telling-tru... | {"split": "train", "index": 13926} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Abigail, Grace, Noah, William, Matthew, Mason, Jack, and Lily. Emily stated, \"if (if (Lily is an egoist and Lily is an altruist) then L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"telling-truth\", 8]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"lying\", 7]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\... | {"split": "train", "index": 13927} |
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: Matthew, Alexander, Charlotte, Logan, Sebastian, William, Aurora, Emily, and Sophia. Matthew told you that Sophia is a fool. \"it is not the case that ((Wi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"lying\", 8], [\"not\", [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"lying\", 6], [\"lying\", 2], [\"not\", [\"telling-tru... | {"split": "train", "index": 13928} |
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: Joseph, Mia, Abigail, Matthew, Samuel, Sebastian, Luke, Logan, and Aria. Joseph commented, \"(Matthew is a pioneer or (Mia is a laggard)) or (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"lying\", 6]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"not\",... | {"split": "train", "index": 13929} |
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: Zoey, Ava, Samuel, Joseph, Aurora, Owen, David, Sophia, and Daniel. Zoey noted, \"((Joseph is a knight if and only if Aurora is a knight) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 3]], [\"and\", [\"l... | {"split": "train", "index": 13930} |
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: Noah, Alexander, Logan, Abigail, Daniel, Grace, Matthew, Ella, and Penelope. Noah stated, \"it is not the case that (it is not the case that (Ella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]]]], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"tellin... | {"split": "train", "index": 13931} |
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, Scarlett, Penelope, Charlotte, Abigail, Emma, Liam, Henry, and Alexander. \"Charlotte is a villain,\" Ava declared. \"if Liam is a hero then Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"lying\", 0], [\"lying\", 7], [\"telling-truth\", 0], [\"not\", [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]]]], [\"<=>\",... | {"split": "train", "index": 13932} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Zoey, Jackson, Logan, Lucas, Mason, Ethan, Harper, Evelyn, and Aurora. Zoey expressed that Lucas is an altruist. \"Harper is an altruist,\" Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"not\", [\"lying\", 3]], [\"telling-truth\", 6], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"lying\", 5]], [\"and\", [\"a... | {"split": "train", "index": 13933} |
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, Sofia, Noah, Samuel, Victoria, Logan, Scarlett, Aurora, and James. \"Sofia is a villain if and only if (it is not the case that (Noah is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"<=>\", [\"lying\", 1], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"telling-truth\", 6], [\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 5]]], [\"<=>\", [\"lying\", 2], [\"not\",... | {"split": "train", "index": 13934} |
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, Emma, James, David, Alexander, Scarlett, Henry, Liam, and Sophia. Samuel remarked, \"it is not the case that (if (Scarlett is a knave or Liam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7]]]], [\"<=>\", [\"telling-truth\", 7], [\"or\", [\"lying\", 7], [\"lying\", 2]]], [\"and... | {"split": "train", "index": 13935} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Lily, David, Emma, Grace, Jackson, Michael, Penelope, and Liam. \"if ((William is a saint and Penelope is a sinner) and (if Lily is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7]], [\"->\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"lyi... | {"split": "train", "index": 13936} |
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, Victoria, Jackson, Lucas, Michael, Emily, Emma, Sofia, and Noah. Ava stated, \"Noah is a villain\". In Victoria's words: \"Emma is a villain or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"lying\", 8], [\"or\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"or\"... | {"split": "train", "index": 13937} |
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, Grace, Matthew, Olivia, Henry, Jackson, Jack, Aurora, and Logan. According to Chloe, \"if Grace is an altruist then (if (Jack is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]], ... | {"split": "train", "index": 13938} |
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: Mia, Alexander, Emily, Jackson, Daniel, Olivia, Victoria, Noah, and William. Mia told you that if (if (Alexander is a devil if and only if Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 7], [\"lying\", 4]]], [\"not\", [\"lying\", 8]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 13939} |
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: Amelia, Grace, Sofia, Aria, Mia, Owen, Ella, David, and Ethan. \"if (if (if David is an egoist then Amelia is an altruist) then (if Mia is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 13940} |
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: Emma, Abigail, Riley, Michael, Lucas, Aiden, William, Joseph, and Luke. \"(it is not the case that (William is a sinner and Aiden is a saint)) or ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]]], [\"not\", [\"->\", [\... | {"split": "train", "index": 13941} |
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: Lily, David, Avery, Michael, Matthew, Jackson, Daniel, Aria, and Isabella. Lily remarked, \"if ((Aria is a hero or David is a villain) or (Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"<=>\", [\... | {"split": "train", "index": 13942} |
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: Olivia, Isabella, David, Emily, Harper, Sebastian, Aiden, Logan, and Ella. Olivia said that if ((Sebastian is a fool or Sebastian is a sage) or (Harper is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 6], [\"lying\", 4]]]], [\"or\... | {"split": "train", "index": 13943} |
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: Logan, Henry, Grace, Aria, Elizabeth, Mason, Evelyn, Aiden, and Alexander. \"it is not the case that (if Aria is a knave then Alexander is a knave),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"lying\", 6], [\"not\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\",... | {"split": "train", "index": 13944} |
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: Penelope, Jackson, Amelia, Sophia, Alexander, William, Aurora, Henry, and Abigail. \"it is not the case that ((Alexander is a knight if and only if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth\", 5]]]], [\"->\", [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 8], [\"te... | {"split": "train", "index": 13945} |
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, Abigail, Charlotte, Lucas, Avery, Henry, Riley, Zoey, and Penelope. As Sebastian put it, \"if (if (Avery is a hero if and only if Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"->\", [... | {"split": "train", "index": 13946} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Grace, Samuel, Liam, Noah, Ava, Henry, Michael, Sofia, and Ella. \"(it is not the case that (if Liam is a knight then Michael is a knave)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"->\", [\"telling-truth\", 7], [\"and\", [\"lying\", 5], [\"telling-truth\", 7]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 6]], [... | {"split": "train", "index": 13947} |
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, Olivia, Harper, Michael, Scarlett, Mia, Amelia, Jack, and Evelyn. Aria asserted: \"Mia is a laggard or ((Michael is a pioneer if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"or\", [\"lying\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 0], [\"lying\", 6]]]], [\"not\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 13948} |
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, Owen, Scarlett, Aria, Alexander, Victoria, Noah, Lily, and Samuel. According to Emma, \"Samuel is an angel\". \"(it is not the case that (Aria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]]], [\"or\", [\"<=>\", [\... | {"split": "train", "index": 13949} |
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: Alexander, Olivia, Riley, James, Benjamin, Sofia, Harper, Liam, and William. Alexander was heard saying, \"it is not the case that (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 8]], [\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 1]]], [\"... | {"split": "train", "index": 13950} |
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: Lucas, Chloe, Noah, Evelyn, Luke, Olivia, Scarlett, Aria, and Penelope. \"(it is not the case that (Luke is a sinner if and only if Aria is a saint))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"telling-truth\", 2]], [\"not\", [... | {"split": "train", "index": 13951} |
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: Michael, Noah, Penelope, Abigail, Logan, Sofia, Ava, Grace, and Luke. In a statement by Michael: \"(it is not the case that (Penelope is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"telling-truth\", 5]]]], [\"or\", [\"and\", [\"and\", [\"tell... | {"split": "train", "index": 13952} |
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: Sofia, Jackson, Michael, Harper, Elizabeth, Victoria, Luke, Alexander, and Ella. \"Luke is an angel or (it is not the case that (if Jackson is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"lying\", 6], [\"<=>\", [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"telling-tr... | {"split": "train", "index": 13953} |
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: Mason, Ethan, Emma, Ava, Emily, Ella, Penelope, Lily, and Olivia. \"it is not the case that (Emma is an egoist or (Emily is an altruist if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"->\", [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 13954} |
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: Aiden, Samuel, Zoey, Chloe, Evelyn, Owen, Aurora, Olivia, and Amelia. Aiden told you that Chloe is a knave. \"it is not the case that ((Olivia is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 7], [\"lying\", 8]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3]], [\"and\", [\"telling... | {"split": "train", "index": 13955} |
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: Ella, Oliver, Michael, Sebastian, Alexander, David, Logan, Evelyn, and Mia. Ella was heard saying, \"(it is not the case that (Evelyn is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 622, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 5], [\"lying\", 4]]]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 7]], [... | {"split": "train", "index": 13956} |
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: Emma, Sofia, Olivia, Logan, Grace, Mia, Benjamin, Sebastian, and Henry. According to Emma, \"((Olivia is a fool if and only if Emma is a sage) and (Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 7]]], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]]], [\"<=>\", [\"and\", [\"<=>\... | {"split": "train", "index": 13957} |
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: Scarlett, Aurora, Mason, Riley, Joseph, Logan, Jack, Jacob, and Aria. In a statement by Scarlett: \"(Scarlett is a sage if and only if Riley is a sage) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 5]... | {"split": "train", "index": 13958} |
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: Victoria, Mia, Elizabeth, Ella, Emma, Charlotte, Amelia, Isabella, and Daniel. Victoria said that it is not the case that (it is not the case that (Mia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"telling-truth\", 7], [\"not\", [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\"... | {"split": "train", "index": 13959} |
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: Victoria, Aria, Luke, Lucas, Aurora, Jacob, Abigail, Avery, and Henry. Victoria was heard saying, \"if ((Jacob is a devil if and only if Victoria is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 626, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]]]], [\"not\", [\"lying\",... | {"split": "train", "index": 13960} |
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: Lily, Chloe, Matthew, Abigail, Michael, Mason, William, Evelyn, and Aurora. \"(it is not the case that (Michael is a villain if and only if Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 627, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"lying\", 7]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 6]], [\"->\", [\"telling-truth\", 1], [\"telling-t... | {"split": "train", "index": 13961} |
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, James, Scarlett, Benjamin, Isabella, Emily, Luke, Michael, and Riley. Lucas asserted: \"Riley is a laggard\". James expressed that ((if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 628, \"statements\": [[\"lying\", 8], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lyi... | {"split": "train", "index": 13962} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Zoey, David, Penelope, Elizabeth, Riley, Sophia, Luke, Ava, and William. Zoey commented, \"if Riley is an egoist then ((William is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 629, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 7]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"or... | {"split": "train", "index": 13963} |
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: Zoey, Jacob, Ava, Liam, Daniel, Abigail, Benjamin, Aria, and Mason. Zoey was heard saying, \"Mason is a sinner\". Jacob expressed that if (Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 630, \"statements\": [[\"lying\", 8], [\"->\", [\"and\", [\"lying\", 7], [\"not\", [\"lying\", 6]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 7]]], [\"telling-truth\", 7], [\"or\", [\"tell... | {"split": "train", "index": 13964} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Owen, Daniel, Samuel, Elizabeth, Harper, Logan, Benjamin, Sofia, and Avery. Owen asserted: \"((if Daniel is a knight then Samuel is a knight) and (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 631, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"not\", [\"t... | {"split": "train", "index": 13965} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sophia, Luke, Liam, Mason, Aurora, Riley, Emily, Henry, and Chloe. \"Henry is a knight\" - Sophia. As Luke put it, \"Mason is a knight\". Liam stated... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 632, \"statements\": [[\"telling-truth\", 7], [\"telling-truth\", 3], [\"not\", [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"lying\", 5], [\"lying\", 0]]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 13966} |
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, Isabella, Chloe, Joseph, Luke, Sebastian, David, Lily, and Evelyn. In Emma's words: \"if (if (Lily is a devil) then (if Joseph is a devil then Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 633, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 13967} |
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: William, David, Ella, Olivia, Daniel, Aiden, Alexander, Chloe, and Avery. William noted, \"((Avery is a villain or Avery is a hero) if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 634, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"->\", [\"lying\", 5], [\"lying\", 4]]], [\"and\", [\"lying\", 6], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\... | {"split": "train", "index": 13968} |
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: Liam, Daniel, Henry, Alexander, Samuel, Abigail, Jacob, Noah, and Mason. Liam expressed that Henry is an egoist if and only if Jacob is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"<=>\", [\"lying\", 2], [\"lying\", 6]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 0]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", ... | {"split": "train", "index": 13969} |
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: Sofia, Samuel, Ella, Zoey, Liam, Alexander, Oliver, Jack, and Harper. Sofia said that Alexander is an angel. Samuel stated, \"((Sofia is an angel if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 636, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 5]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5]], [\"not\", [\"tell... | {"split": "train", "index": 13970} |
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: Aria, Grace, Ethan, Jacob, Emily, Harper, Benjamin, Owen, and Luke. \"Jacob is a fool,\" Aria declared. Grace stated, \"Luke is a sage\". Ethan asserted: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 637, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 8], [\"lying\", 6], [\"not\", [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]]]], [\"<=>\"... | {"split": "train", "index": 13971} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Grace, Jack, Abigail, Aurora, Isabella, Sophia, Sofia, Penelope, and Lucas. Grace commented, \"it is not the case that ((Sophia is a sinner and Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 638, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]], [\"or\", [\"lying\", 5], [\"telling-truth\", 6]]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"lying\",... | {"split": "train", "index": 13972} |
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, Daniel, Lily, Owen, Charlotte, Mason, Noah, Scarlett, and Benjamin. \"((Daniel is an egoist) if and only if (Isabella is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 639, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 0]], [\"->\", [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 0]], [\"<... | {"split": "train", "index": 13973} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Liam, Evelyn, Grace, Ethan, William, Jacob, Penelope, Samuel, and Alexander. Liam stated, \"William is a sinner\". Evelyn told you that William is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 640, \"statements\": [[\"lying\", 4], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]]]], [\"->\", [\"->\... | {"split": "train", "index": 13974} |
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, Chloe, Evelyn, Sofia, Jacob, Ethan, Samuel, Harper, and William. As Oliver put it, \"(if (if Ethan is a hero then Samuel is a hero) then (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 641, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 7]]]], [\"or\", [\"<=>\", [\"telling-... | {"split": "train", "index": 13975} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Owen, Ella, Victoria, David, Chloe, Riley, Daniel, Penelope, and Henry. Owen asserted: \"(if (Riley is a knight if and only if Victoria is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 642, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 1]]], [\"->\", [\"and\", [\"or\",... | {"split": "train", "index": 13976} |
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: Noah, Aurora, Evelyn, Penelope, Henry, Joseph, Sophia, Lucas, and Abigail. Noah was heard saying, \"(Henry is a fool or (Sophia is a fool and Penelope is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 643, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"lying\", 7]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"lying\", 7], [\"tel... | {"split": "train", "index": 13977} |
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: Logan, Jacob, Zoey, Aria, Luke, Ava, Henry, Emily, and Noah. Logan remarked, \"Jacob is an egoist\". \"((Aria is an egoist or Jacob is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"and\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 3]... | {"split": "train", "index": 13978} |
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: Joseph, Avery, Aria, Henry, Matthew, Evelyn, Grace, Scarlett, and Ethan. According to Joseph, \"if (if (Grace is an egoist) then (Evelyn is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 5]]], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\... | {"split": "train", "index": 13979} |
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: Benjamin, Sebastian, Aiden, Owen, Michael, Daniel, Scarlett, Riley, and Sofia. Benjamin told you that if (if (Sofia is a laggard if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"not\", [\"lying\", 7]]], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 13980} |
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: Ethan, Michael, Aria, Alexander, Victoria, Logan, Isabella, Grace, and Ella. \"(if Victoria is a villain then (if Logan is a hero then Michael is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"<... | {"split": "train", "index": 13981} |
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: Avery, Aiden, Penelope, Samuel, Harper, Oliver, Lily, Victoria, and Riley. Avery said, \"Lily is a sage.\" Aiden noted, \"it is not the case that ((Victori... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2]]]], [\"or\", [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 6]... | {"split": "train", "index": 13982} |
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: Benjamin, Oliver, Lily, Zoey, Owen, David, Mason, Riley, and Michael. Benjamin was heard saying, \"if (it is not the case that (Zoey is a fool)) then ((if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 8]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\... | {"split": "train", "index": 13983} |
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: Penelope, Aiden, Victoria, Amelia, Lily, Matthew, Riley, William, and Olivia. Penelope remarked, \"Aiden is a knave\". Aiden commented, \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 3]]], [\"or\", [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 8]]], [\"telling-truth\", 0]], [\"or\", [\"... | {"split": "train", "index": 13984} |
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: Owen, Logan, Zoey, William, Daniel, Evelyn, Sophia, Noah, and Samuel. As Owen put it, \"(it is not the case that (Evelyn is a devil or Noah is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"lying\", 7], [\"lying\", 6]]]], [\"->\", [\"lying\", ... | {"split": "train", "index": 13985} |
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: Jack, Emma, Aurora, Daniel, Scarlett, Luke, Michael, Abigail, and Mia. According to Jack, \"Abigail is a sinner\". Emma told you that ((Emma is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 2]], [\"or\", [\"->... | {"split": "train", "index": 13986} |
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, Owen, Harper, James, Victoria, Sophia, Aiden, Emma, and Isabella. Elizabeth remarked, \"(Victoria is a saint or Victoria is a sinner) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [\"or\", [\"a... | {"split": "train", "index": 13987} |
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, Mason, Olivia, Emma, William, Emily, Harper, Sebastian, and James. Ava remarked, \"((William is an angel or Emily is an angel) if and only if (Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 7], [\"t... | {"split": "train", "index": 13988} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sophia, Grace, Jack, William, Joseph, Oliver, Olivia, Mia, and Aurora. Sophia asserted: \"Olivia is a pioneer\". Grace noted, \"if (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"->\", [\"lying\", 8], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]]]], [\"or\", [\"<=>\... | {"split": "train", "index": 13989} |
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: Emma, Olivia, Mason, Isabella, Elizabeth, Aria, Joseph, Aiden, and Jackson. Emma said that Olivia is a sinner and (if (Isabella is a sinner or Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"and\", [\"lying\", 1], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]]], [\"->\", [\"and\", [\"lying\", 8], [\"<=>\", [\"lying\", 2], [\"lying\", 7]]], [\"->\", [\... | {"split": "train", "index": 13990} |
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: Aiden, Logan, Jacob, Ethan, Joseph, Emily, Lily, Abigail, and Charlotte. Aiden said, \"Charlotte is a laggard.\" Logan was heard saying, \"it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"lying\", 8], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]], [\"not\", [\"lying\", 0]]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"<=>\",... | {"split": "train", "index": 13991} |
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: Samuel, Mason, Owen, Penelope, Olivia, Grace, Alexander, James, and Victoria. Samuel expressed that ((Olivia is an angel if and only if Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"->\", [\"lying\", 1], [\"lying\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2],... | {"split": "train", "index": 13992} |
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: Penelope, Scarlett, Joseph, Jack, Oliver, Ethan, Mia, Emma, and Emily. \"if Jack is a saint then ((Jack is a saint) and (Joseph is a sinner if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 13993} |
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: Sophia, Jackson, James, Benjamin, Abigail, Charlotte, Luke, Oliver, and Grace. Sophia remarked, \"James is a sinner\". In a statement by Jackson: \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"lying\", 7], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]... | {"split": "train", "index": 13994} |
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, Joseph, Benjamin, Aria, James, Matthew, Jackson, Zoey, and Owen. \"it is not the case that (if Owen is an egoist then (if Joseph is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"not\", [\"->\", [\"lying\", 8], [\"->\", [\"lying\", 1], [\"lying\", 2]]]], [\"lying\", 4], [\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-tr... | {"split": "train", "index": 13995} |
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, Ava, Luke, Sebastian, James, Ethan, Zoey, Grace, and Owen. In a statement by Isabella: \"(Isabella is a sage or (Grace is a fool if and only if O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"... | {"split": "train", "index": 13996} |
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: Lucas, Aria, Chloe, Ava, Scarlett, Mason, Luke, Alexander, and Aiden. Lucas commented, \"Aiden is a sinner\". Aria told you that (Luke is a sinner) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"lying\", 8], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 0]]]], [\"telling-truth\", 5], [\"not\", [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", ... | {"split": "train", "index": 13997} |
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, Aria, Mia, Ethan, Liam, Charlotte, Logan, Alexander, and Sophia. Sebastian told you that if ((Charlotte is a fool) or (if Logan is a fool then L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 7]], [\"or\", [\"telling-truth\", 8], [\"telling-trut... | {"split": "train", "index": 13998} |
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: Sophia, Daniel, Samuel, Oliver, Joseph, Matthew, Chloe, Elizabeth, and James. \"Joseph is a sage,\" Sophia claimed. As Daniel put it, \"(Chloe is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"not\", [\"lying\", 4]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"a... | {"split": "train", "index": 13999} |
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