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)
n | 5 | 2: Searching: query_dog_age_in_six_years(Candidate Variable_0) | n | 4 | 2: Searching: query_difference_in_cost(Candidate Variable_0)
| 6 | 3: Searching: dog_age_in_six_years(30, Candidate Variable_0) |  | 5 | 3: Searching: difference_in_cost(9, Candidate Variable_0)
|  |  |  | 6 | 4: Searching: ride_ticket_cost(9, Candidate Variable_1)
|  |  |  | 7 | 5: Searching: _15120 is 9*2
|  |  |  | 8 | 6: Found: 18 is 9*2
|  |  |  | 9 | 7: Found: ride_ticket_cost(9, 18)
|  |  |  | 10 | 8: Searching: ride_bracelet_cost(Candidate Variable_2)
|  |  |  | 11 | 9: Searching: _17576 is 30
|  |  |  | 12 | 10: Found: 30 is 30
|  |  |  | 13 | 11: Found: ride_bracelet_cost(30)
| 7 | 4: Searching: _15130 is 30+ -6 |  | 14 | 12: Searching: _5830 is 18-30
| 8 | 5: Found: 24 is 30+ -6 |  | 15 | 13: Found: -12 is 18-30
| 9 | 6: Searching: _16356 is 24/4 |  | 16 | 14: Found: difference_in_cost(9, -12)
| 10 | 7: Found: 6 is 24/4 |  | 17 | 15: Found: query_difference_in_cost(-12)
| 11 | 8: Searching: _5834 is 6+6 |  |  |
| 12 | 9: Found: 12 is 6+6 |  |  |
| 13 | 10: Found: dog_age_in_six_years(30, 12) |  |  |
| 14 | 11: Found: query_dog_age_in_six_years(12) |  |  |
| 15 | 12: Found: query(12) | {'Result': 'Answer = 12'} |  | 18 | 16: Found: query(-12) | {'Result': 'Answer = -12'}
| 16 |  |  | 19 |
t | 17 | <|im_end|> | t |  |
| 18 | <|im_start|>user |  |  |
| 19 | question: Question: Tom's brother is 4 times as old as Tom's dog. If in 6 years, Tom's brother will be 30 years, how old is Tom's dog going to be in six years? |  |  |
| 20 | <|im_end|> |  |  |
| 21 | <|im_start|>user |  |  |
| 22 | Given the plan, the code and the explored search paths answer the question above. Answer with the correct numerical answer. |  |  |
| 23 | ######Here is the answer:<|im_end|> |  |  |
| 24 | <|im_start|>assistant |  |  |
| 25 | 12 |  |  |
| 26 | <|im_end|> |  |  |
| 27 | <|im_start|>user |  |  |
| 28 | ###### |  |  |
| 29 | [Example 4] |  |  |
| 30 | Question: A student is taking a math test. The test has 10 questions, and each question is worth 10 points. The student has 100 minutes to complete the test. If the student spends 10 minutes on each question, how many points will the student earn? |  |  |
| 31 | 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. |  |  |
| 32 | Your plan should show enough intermediate reasoning steps towards the answer. |  |  |
| 33 | 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|> |  |  |
| 34 | <|im_start|>assistant |  |  |
| 35 | ### Explanation: |  |  |
| 36 |  |  |  |
| 37 | In this problem, we are given information about a math test with |  |  |

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