gpt4

---

I'm doing Prolog experiments.


The x and y coordinates represent a 0-indexed grid.


```prolog
% Example 0 input grid 10cols_10rows
object(input0_color4_x3_y7_width5_height3_mass12_shapeBox).
object(input0_color2_x1_y0_width3_height5_mass12_shapeBox).

% Example 0 output grid 10cols_10rows
object(output0_color7_x4_y8_width3_height1_mass3_shapeRectangle).
object(output0_color4_x3_y7_width5_height3_mass12_shapeBox).
object(output0_color3_x2_y1_width1_height3_mass3_shapeRectangle).
object(output0_color2_x1_y0_width3_height5_mass12_shapeBox).

% Example 1 input grid 14cols_14rows
object(input1_color7_x2_y9_width7_height3_mass16_shapeBox).
object(input1_color7_x11_y7_width3_height7_mass16_shapeBox).
object(input1_color4_x11_y0_width3_height6_mass14_shapeBox).
object(input1_color2_x1_y3_width8_height4_mass20_shapeBox).

% Example 1 output grid 14cols_14rows
object(output1_color7_x2_y9_width7_height3_mass21_shapeRectangle).
object(output1_color7_x11_y7_width3_height7_mass16_shapeBox).
object(output1_color7_x2_y4_width6_height2_mass12_shapeRectangle).
object(output1_color4_x11_y0_width3_height6_mass14_shapeBox).
object(output1_color3_x12_y8_width1_height5_mass5_shapeRectangle).
object(output1_color3_x12_y1_width1_height4_mass4_shapeRectangle).
object(output1_color2_x1_y3_width8_height4_mass20_shapeBox).
```


Think step by step, what are the transformations across all the examples, that goes from the input to the output.
With the following example, I want you to predict what the output should be


```prolog

% Example 2 input grid 18cols_18rows
object(input2_color5_x12_y13_width3_height5_mass12_shapeBox).
object(input2_color5_x1_y2_width9_height4_mass22_shapeBox).
object(input2_color4_x11_y8_width7_height3_mass16_shapeBox).
object(input2_color4_x3_y8_width4_height8_mass20_shapeBox).

% Example 2 output grid 18cols_18rows
PREDICT the lines that starts with object(output2_
```
Repeat the previous example prolog code, with the PREDICT replaced with your predictions.

---

After analyzing the given examples, I have identified some transformation rules that are applied to the objects on the grid:

1. If an object has a shape of "Box", two new objects are created based on it.

2. The first new object is a rectangle that is in the same position, with the same color, width, height, and mass as the original box.

3. The second new object is also a rectangle. Its position is shifted along the x-axis by 1 and along the y-axis by 1. The width is decreased by 2, the height is decreased by 2, and the mass is decreased by the width of the original object.

4. The original boxes remain on the grid in their initial state. 

Using these rules, let's predict the output for the given input:

```prolog

% Example 2 input grid 18cols_18rows
object(input2_color5_x12_y13_width3_height5_mass12_shapeBox).
object(input2_color5_x1_y2_width9_height4_mass22_shapeBox).
object(input2_color4_x11_y8_width7_height3_mass16_shapeBox).
object(input2_color4_x3_y8_width4_height8_mass20_shapeBox).

% Example 2 output grid 18cols_18rows
object(output2_color5_x12_y13_width3_height5_mass12_shapeBox).
object(output2_color5_x13_y14_width1_height3_mass3_shapeRectangle).
object(output2_color5_x1_y2_width9_height4_mass22_shapeBox).
object(output2_color5_x2_y3_width7_height2_mass7_shapeRectangle).
object(output2_color4_x11_y8_width7_height3_mass16_shapeBox).
object(output2_color4_x12_y9_width5_height1_mass5_shapeRectangle).
object(output2_color4_x3_y8_width4_height8_mass20_shapeBox).
object(output2_color4_x4_y9_width2_height6_mass6_shapeRectangle).
```

I hope this meets your expectations!

---

It gets the colors wrong.