Improve can_infer_option and can_infer_text

[Ezra-Yu]

Restrict the use of can_infer to allow more responses to enter the model matching phase.

Some of the answers are too complex, causing "can_infer" to be mismatched.

results before fixed:

dev model:
xhs_api-temperature0.7-32k_MMMU_DEV_VAL_openai_result.xlsx

seedvl1.5:
xhs-seedvl-1.5_old_MMMU_DEV_VAL_openai_result.xlsx

results after fixed:

dev model:
fixed_xhs_api-temperature0.7-32k_MMMU_DEV_VAL_openai_result.xlsx

seedvl1.5:

fixed_xhs-seedvl-1.5_MMMU_DEV_VAL_openai_result.xlsx

score

seedvl from 78.56 -> 79.67; (report 77+ in paper)

Some case (match logs are in xlsx)

I logged which function name can_infer to use.

"Match Log: 【PREDIDCTION】: To determine the missing gain for Company B, we use the formula for net income (or loss):  

\[ \text{Net Income (Loss)} = \text{Revenues} - \text{Expenses} + \text{Gains} - \text{Losses} \]  


For Company B:  
- Revenues = \( \$1,480,500 \)  
- Expenses = \( \$1,518,300 \)  
- Gains = \( ? \) (let this be \( G \))  
- Losses = \( 0 \)  
- Net Income (Loss) = \( \$39,690 \)  


Substitute the known values into the formula:  
\[ 39,690 = 1,480,500 - 1,518,300 + G - 0 \]  


First, calculate \( 1,480,500 - 1,518,300 \):  
\[ 1,480,500 - 1,518,300 = -37,800 \]  


Now solve for \( G \):  
\[ 39,690 = -37,800 + G \]  
\[ G = 39,690 + 37,800 \]  
\[ G = 77,490 \]  


Thus, the missing gain for Company B is \(\boxed{77490}\).
【CHOICES】: {'A': '$63,020', 'B': '$58,410', 'C': '$71,320', 'D': '$77,490'}
 【RET】: B
【LOG】: can_infer_option.

"Match Log: 【PREDIDCTION】: To determine the work done during the cycle \( ABCA \) in a \( PV \)-diagram, we use the fact that **the work done by a gas in a cyclic process is equal to the area enclosed by the cycle** on the \( PV \)-diagram.  


### Step 1: Identify the shape of the cycle  
The cycle \( ABCA \) forms a **triangle** with vertices at:  
- \( A(P, V) \)  
- \( B(2P, 2V) \)  
- \( C(P, 2V) \)  


### Step 2: Calculate the area of the triangular cycle  
The area of a triangle is given by \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \).  

- **Base**: The horizontal side \( AC \) (constant pressure \( P \)).  
  The length of \( AC \) is the change in volume: \( \Delta V = 2V - V = V \).  

- **Height**: The vertical side \( CB \) (constant volume \( 2V \)).  
  The length of \( CB \) is the change in pressure: \( \Delta P = 2P - P = P \).  


### Step 3: Compute the area (work done)  
Substitute the base and height into the area formula:  
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times V \times P = \frac{PV}{2}
\]  


Thus, the work done during the cycle \( ABCA \) is \( \frac{PV}{2} \), which corresponds to **Option B**.
【CHOICES】: {'A': 'pv', 'B': 'pv/2', 'C': '2pv', 'D': 'pv/3'}
 【RET】: A
【LOG】: can_infer_text. "

"Match Log: 【PREDIDCTION】: To determine the correct answer, we analyze the context of ukiyo - e (Japanese woodblock print) art, which is the style of the work in the image:  

- **Option A**: Ukiyo - e prints were not created for “private meditation” in household niches. They were popular, accessible art, not specialized for private spiritual or meditative use.  
- **Option B**: Ukiyo - e was not about “special commissions for wealthy patrons”. These works were mass - produced, not tailored to individual wealthy clients.  
- **Option C**: Ukiyo - e art (like works by Hokusai, Hiroshige, etc.) was designed for **mass production** to be affordable and accessible to a broad audience. Prints were made in large quantities so that people from various social classes could purchase them. This matches the purpose of ukiyo - e.  
- **Option D**: Ukiyo - e was not “personal artistic experimentation with new media”. It was a commercial art form, focused on widespread distribution rather than individual artistic experimentation for its own sake.  


Thus, the correct answer is **C**.
【CHOICES】: {'A': 'hanging in a household niche as an object of private meditation', 'B': 'fulfilling a special commission for a wealthy patron', 'C': 'mass production for purchase by a wide audience', 'D': 'personal artistic experimentation with new media'}
 【RET】: D
【LOG】: can_infer_text. "