arc-prompt/prompts/incorrect/3f23242b-1.md · Alignment-Lab-AI/ARC-stuff at main

gpt4

I'm doing Prolog experiments.

The grid is 1-indexed and does allow negative indices.

Top-Left Bottom-Right (TLBR) is used for object bounding boxes, like tY_lX_bY_rX where t=top l=left b=bottom r=right.

The width of the object bounding box has a 'w' prefix, like 'w5' is width=5. The height of the object bounding box has a 'h' prefix, like 'h3' is height=3.

The id prefixed text has no integer value and should not be considered.

% Example 1 input grid_width16_height16
object(input1_idP33ffe7_t11_l4_b11_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(input1_idP33ffe7_t5_l12_b5_r12_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).

% Example 1 output grid_width16_height16
object(output1_idPz7ea0g_t13_l2_b13_r6_w5_h1_mass5_shapeRectangle_scalex5_scaley1, transform(all)).
object(output1_idPz7ea0g_t7_l10_b7_r14_w5_h1_mass5_shapeRectangle_scalex5_scaley1, transform(all)).
object(output1_idPj8kdf4_t9_l2_b10_r6_w5_h2_mass6_shapeUpTack_scaleUnknown, transform(rot180_flip180)).
object(output1_idPj8kdf4_t3_l10_b4_r14_w5_h2_mass6_shapeUpTack_scaleUnknown, transform(rot180_flip180)).
object(output1_idP33ffe7_t11_l4_b11_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(output1_idP33ffe7_t5_l12_b5_r12_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(output1_idPfe7a8k_t13_l7_b13_r16_w10_h1_mass10_shapeRectangle_scalex10_scaley1, transform(all)).
object(output1_idPfe7a8k_t13_l1_b13_r1_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(output1_idPfe7a8k_t10_l6_b12_r6_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).
object(output1_idPfe7a8k_t10_l2_b12_r2_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).
object(output1_idPfe7a8k_t7_l15_b7_r16_w2_h1_mass2_shapeRectangle_scalex2_scaley1, transform(all)).
object(output1_idPfe7a8k_t7_l1_b7_r9_w9_h1_mass9_shapeRectangle_scalex9_scaley1, transform(all)).
object(output1_idPfe7a8k_t4_l14_b6_r14_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).
object(output1_idPfe7a8k_t4_l10_b6_r10_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).

% Example 2 input grid_width10_height10
object(input2_idP33ffe7_t5_l5_b5_r5_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).

% Example 2 output grid_width10_height10
object(output2_idPz7ea0g_t7_l3_b7_r7_w5_h1_mass5_shapeRectangle_scalex5_scaley1, transform(all)).
object(output2_idPj8kdf4_t3_l3_b4_r7_w5_h2_mass6_shapeUpTack_scaleUnknown, transform(rot180_flip180)).
object(output2_idP33ffe7_t5_l5_b5_r5_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(output2_idPfe7a8k_t7_l8_b7_r10_w3_h1_mass3_shapeRectangle_scalex3_scaley1, transform(all)).
object(output2_idPfe7a8k_t7_l1_b7_r2_w2_h1_mass2_shapeRectangle_scalex2_scaley1, transform(all)).
object(output2_idPfe7a8k_t4_l7_b6_r7_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).
object(output2_idPfe7a8k_t4_l3_b6_r3_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).

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


% Example 3 input grid_width19_height17
object(input3_idP33ffe7_t14_l7_b14_r7_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(input3_idP33ffe7_t9_l12_b9_r12_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(input3_idP33ffe7_t4_l5_b4_r5_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).

% Example 3 output grid_width19_height17
PREDICT the text that starts with object(output3_

Repeat the previous example prolog code, with PREDICT replaced with your predictions. There number of output objects may be different than the input objects. The output objects may have to be sorted by coordinates or mass or some other property.

Given the transformations applied in the previous examples, we can derive a set of rules:

Each input object idP33ffe7 with shape Rectangle remains unchanged in the output.
For each input object idP33ffe7 with shape Rectangle, create an object idPz7ea0g with shape Rectangle two grid spaces above it. The width (w) is increased to 5 and the mass to 5, but the height (h) remains 1.
Create an object idPj8kdf4 with shape UpTack and a transformation rot180_flip180 which spans two units above the idPz7ea0g object. It has a width of 5, height of 2 and mass of 6.
For each input object idP33ffe7 with shape Rectangle, create an object idPfe7a8k with shape Rectangle two grid spaces below it. The width is equivalent to the width of the grid minus the x-coordinate of the object, and the mass is equivalent to the width. The height remains 1.
For each input object idP33ffe7 with shape Rectangle, create another object idPfe7a8k with shape Rectangle with the same height and x-coordinate as the input object. The width is set to 1 and the mass is equal to the height.
Similarly, create another object idPfe7a8k with shape Rectangle with the same height and mass as in rule 5. The x-coordinate should be two grid spaces left of the input object.

Using these rules, the predicted output for example 3 will be:

% Example 3 output grid_width19_height17
object(output3_idPz7ea0g_t12_l7_b12_r11_w5_h1_mass5_shapeRectangle_scalex5_scaley1, transform(all)).
object(output3_idPj8kdf4_t8_l7_b10_r11_w5_h2_mass6_shapeUpTack_scaleUnknown, transform(rot180_flip180)).
object(output3_idP33ffe7_t14_l7_b14_r7_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(output3_idPfe7a8k_t16_l7_b16_r19_w13_h1_mass13_shapeRectangle_scalex13_scaley1, transform(all)).
object(output3_idPfe7a8k_t14_l7_b16_r7_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).
object(output3_idPfe7a8k_t14_l5_b16_r5_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).

object(output3_idPz7ea0g_t7_l12_b7_r16_w5_h1_mass5_shapeRectangle_scalex5_scaley1, transform(all)).
object(output3_idPj8kdf4_t3_l12_b5_r16_w5_h2_mass6_shapeUpTack_scaleUnknown, transform(rot180_flip180)).
object(output3_idP33ffe7_t9_l12_b9_r12_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(output3_idPfe7a8k_t11_l12_b11_r19_w8_h1_mass8_shapeRectangle_scalex8_scaley1, transform(all)).
object(output3_idPfe7a8k_t9_l12_b11_r12_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).
object(output3_idPfe7a8k_t9_l10_b11_r10_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).

object(output3_idPz7ea0g_t2_l5_b2_r9_w5_h1_mass5_shapeRectangle_scalex5_scaley1, transform(all)).
object(output3_idPj8kdf4_t-2_l5_b0_r9_w5_h2_mass6_shapeUpTack_scaleUnknown, transform(rot180_flip180)).
object(output3_idP33ffe7_t4_l5_b4_r5_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)).
object(output3_idPfe7a8k_t6_l5_b6_r19_w15_h1_mass15_shapeRectangle_scalex15_scaley1, transform(all)).
object(output3_idPfe7a8k_t4_l5_b6_r5_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).
object(output3_idPfe7a8k_t4_l3_b6_r3_w1_h3_mass3_shapeRectangle_scalex1_scaley3, transform(all)).

The order of the output is based on the y-coordinate, from the highest to the lowest.