gpt4

---

I'm doing Prolog experiments.


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


```prolog
% Example 0 input grid 5cols_5rows
object(input0_color7_x2_y2_width1_height1_mass1_shapeRectangle).
object(input0_color4_x3_y2_width1_height1_mass1_shapeRectangle).
object(input0_color1_x4_y2_width1_height1_mass1_shapeRectangle).
object(input0_color1_x0_y0_width3_height5_mass6_shapeTurnedV).

% Example 0 output grid 5cols_5rows
object(output0_color7_x3_y2_width1_height1_mass1_shapeRectangle).
object(output0_color1_x4_y2_width1_height1_mass1_shapeRectangle).
object(output0_color1_x0_y0_width3_height5_mass7_shapeUpTack).

% Example 1 input grid 5cols_5rows
object(input1_color7_x2_y2_width1_height1_mass1_shapeRectangle).
object(input1_color4_x4_y4_width1_height1_mass1_shapeRectangle).
object(input1_color1_x3_y3_width1_height1_mass1_shapeRectangle).
object(input1_color1_x0_y3_width2_height2_mass2_shapeDiagonal2).
object(input1_color1_x3_y0_width2_height2_mass2_shapeDiagonal2).
object(input1_color1_x0_y0_width2_height2_mass2_shapeDiagonal2).

% Example 1 output grid 5cols_5rows
object(output1_color7_x4_y4_width1_height1_mass1_shapeRectangle).
object(output1_color1_x0_y0_width5_height5_mass8_shapeUnclassified).

% Example 2 input grid 5cols_5rows
object(input2_color7_x3_y1_width1_height1_mass1_shapeRectangle).
object(input2_color4_x0_y2_width1_height1_mass1_shapeRectangle).
object(input2_color1_x1_y0_width4_height5_mass7_shapeUnclassified).

% Example 2 output grid 5cols_5rows
object(output2_color7_x0_y2_width1_height1_mass1_shapeRectangle).
object(output2_color1_x1_y0_width4_height5_mass8_shapeUnclassified).
```


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 3 input grid 5cols_5rows
object(input3_color7_x1_y0_width1_height1_mass1_shapeRectangle).
object(input3_color4_x2_y4_width1_height1_mass1_shapeRectangle).
object(input3_color1_x2_y0_width3_height5_mass6_shapeDiagonal2).
object(input3_color1_x0_y0_width1_height1_mass1_shapeRectangle).

% Example 3 output grid 5cols_5rows
PREDICT the lines that starts with object(output3_
```
Repeat the previous example prolog code, with the PREDICT replaced with your predictions.

---

The transformations between the input and output appear to be as follows:

1. The object of `color7` seems to mirror about the grid's center, i.e., if it's initially on `(x, y)`, it ends up at `(4 - x, 4 - y)`.
2. The objects of `color1` increase their mass by 1. The new shape is either "UpTack", "Unclassified", or remains the same "Diagonal2" depending on the initial shape. The coordinates and dimensions of these objects seem to remain the same.
3. The objects of `color4` are removed from the output.

Using these observations, the prediction for the third example is as follows:

```prolog
% Example 3 input grid 5cols_5rows
object(input3_color7_x1_y0_width1_height1_mass1_shapeRectangle).
object(input3_color4_x2_y4_width1_height1_mass1_shapeRectangle).
object(input3_color1_x2_y0_width3_height5_mass6_shapeDiagonal2).
object(input3_color1_x0_y0_width1_height1_mass1_shapeRectangle).

% Example 3 output grid 5cols_5rows
object(output3_color7_x3_y4_width1_height1_mass1_shapeRectangle).
object(output3_color1_x2_y0_width3_height5_mass7_shapeDiagonal2).
object(output3_color1_x0_y0_width1_height1_mass2_shapeRectangle).
```
The `color7` rectangle has been mirrored across the center. The objects of `color1` have increased their mass by 1 and retained their initial shape. The `color4` object is removed from the output.

