n | 1 | <|im_start|>assistant | n |  |
| 2 | [Path 1]: |  | 1 | [Path 1]:
n | 3 | 0: Start of execution: Begining Search | n | 2 | 0: Start of execution: Beginning Search
| 4 | 1: Searching: query(Candidate Variable_0) |  | 3 | 1: Searching: query(Candidate Variable_0)
| 5 | 2: Searching: problems_left(100, 12, 36, 25, Candidate Variable_0) |  | 4 | 2: Searching: problems_left(100, 12, 36, 25, Candidate Variable_0)
n | 6 | 3: Searching: _14512 is 100-12-36-25 | n | 5 | 3: Searching: _14524 is 100-12-36-25
| 7 | 4: Found: 7 is 100-12-36-25 |  | 6 | 4: Found: 27 is 100-12-36-25
| 8 | 5: Searching: _16976 is 7-12 |  | 7 | 5: Searching: _5830 is 27-12
| 9 | 6: Found: -5 is 7-12 |  | 8 | 6: Found: 15 is 27-12
| 10 | 7: Found: problems_left(100, 12, 36, 25, -5) |  | 9 | 7: Found: problems_left(100, 12, 36, 25, 15)
| 11 | 8: Found: query(-5) | {'Result': 'ProblemsLeftThursday = -5'} |  | 10 | 8: Found: query(15) | {'Result': 'ProblemsLeftThursday = 15'}
| 12 |  |  | 11 |
t | 13 | <|im_end|> | t |  |
| 14 | <|im_start|>user |  |  |
| 15 | question: Question: A man has a large amount of math homework to complete, with a total of 100 problems. He starts by completing 12 problems on Monday night. On Tuesday, he completes three times as many problems as he did on Monday, which is 36 problems. On Wednesday, he completes one-quarter of the remaining problems, which is 25 problems. How many math problems does he have left to complete on Thursday? |  |  |
| 16 | <|im_end|> |  |  |
| 17 | <|im_start|>user |  |  |
| 18 | Given the plan, the code and the explored search paths answer the question above. Answer with the correct numerical answer. |  |  |
| 19 | ######Here is the answer:<|im_end|> |  |  |
| 20 | <|im_start|>assistant |  |  |
| 21 | 15 |  |  |
| 22 | <|im_end|> |  |  |
| 23 | <|im_start|>user |  |  |
| 24 | ###### |  |  |
| 25 | [Example 6] |  |  |
| 26 | Question: A man<|im_end|> |  |  |
| 27 | <|im_start|>user |  |  |
| 28 | Generate an explanation, analysis and plan to generate a prompt for writing a swi-prolog code for the last task. The 3 sections should be exactly outlined. |  |  |
| 29 | Your plan should show enough intermediate reasoning steps towards the answer. |  |  |
| 30 | Construct the plan as much as you can and describe the logic specifically. When constructing the plan for the code prompt, actively use swi prolog search capabilities.<|im_end|> |  |  |
| 31 | <|im_start|>assistant |  |  |
| 32 | ### Explanation: |  |  |
| 33 |  |  |  |
| 34 | A man has a large amount of math homework to complete, with a total of 100 problems. He starts by completing 12 problems on Monday night. On Tuesday, he completes three times as many problems as he did on Monday, which is 36 problems |  |  |

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