Domain: Engineering — Computer Science
Target concept: Intersection

Video generation prompt: Display two sets A={1,2,3,4} and B={3,4,5,6} on a white background, represented by blue and yellow boxes respectively, to demonstrate the dynamic process of finding their intersection, with the resulting set shown in a green box below.

Evaluation guide:
(i) Target concept: Visual demonstration of the set intersection operation via spatial-temporal arrangement of labeled, color-coded sets.
Minimum mechanism: The intersection of A and B consists of exactly the elements that appear in both sets; the green box must show precisely those shared elements, with no elements added or omitted.
(ii) Storyline: Frame 1–3: Blue box A={1,2,3,4} enters and stabilizes on the left. Frame 4–6: Yellow box B={3,4,5,6} enters and stabilizes on the right; now A and B sit next to each other, fully visible, non-overlapping. Frame 7–10: Green box {3,4} enters smoothly from below or fades in, settling into a fixed position centered under both A and B; no other objects change. Perspective is fixed frontal orthographic view; all boxes fully within frame boundaries; no occlusion; labels always fully legible.

Manual:
Experimental Procedure
1. Display a blue rectangular box labeled "A={1,2,3,4}" on the left side of a white background.
2. Display a yellow rectangular box labeled "B={3,4,5,6}" on the right side of the white background, aligned horizontally with A.
3. After both boxes are fully visible, display a green rectangular box labeled "{3,4}" centered directly below both A and B.
Observation of Experimental Phenomena
- The blue box (A) and yellow box (B) appear side by side, non-overlapping, fully visible.
- The green box appears only after A and B are stable, contains exactly the elements {3,4}, and is positioned below both.
- No other sets, symbols, or colors appear.
Summary of Experimental Principles
- The intersection of A={1,2,3,4} and B={3,4,5,6} is A∩B = {3,4}: the elements common to both sets.
- Color coding: blue for set A, yellow for set B, green for the derived intersection result.

Prompt Grounding rubric:
level_1: No blue box for set A, no yellow box for set B, and no green box for the result appear together on a white background; the required boxes are absent, mislabeled, or replaced with unrelated shapes or symbols.
level_2: At most one of the three required boxes (blue A, yellow B, green result) appears; at least two are missing, wrongly colored, or not set against a shared white background; the boxes are arranged incoherently (e.g. overlapping with no clear separation).
level_3: A blue box labeled A={1,2,3,4} and a yellow box labeled B={3,4,5,6} both appear side by side on a white background, and a green box appears below them, but something is off: a label is wrong (e.g. A shown as {1,2,3}), or the green box's elements are wrong (e.g. it includes 1 or 2, which aren't shared by both sets), or the layout doesn't follow the side-by-side-then-below pattern (e.g. the green box appears above or between A and B).
level_4: All three boxes appear with the correct colors (blue/yellow/green), correct labels, and the correct layout (A and B side by side, green box directly below both), and the green box's elements are correct (only the numbers shared by both A and B, i.e. 3 and 4); however, either one label's font is inconsistent (e.g. bold vs. regular), or a small visual glitch briefly covers part of a label without making it unreadable, or the green box's appearance is momentarily jerky (without ever jumping to the wrong place or shape).
level_5: The blue box A={1,2,3,4}, yellow box B={3,4,5,6}, and green box {3,4} all appear as required: the boxes are non-overlapping, fully visible, cleanly proportioned rectangles; every label is legible, styled consistently, and correctly positioned; the white background stays uniform throughout; there is no visible glitch, stutter, or rendering flaw anywhere in the clip.

Scientific and Causal Correctness rubric:
level_1: No intersection-like operation is shown at all: the green box's content looks arbitrary (e.g. it matches a union or a random list of numbers instead of the shared elements); or the color coding is swapped (e.g. A shown in yellow, B in blue); or there's no visible connection between A/B being shown and what ends up in the green box.
level_2: The green box appears, but its contents don't match intersection logic: it's missing an element that both sets share (3 or 4), or it includes an element that isn't in both sets (1, 2, 5, or 6); or the elements shown in A or B themselves are wrong (e.g. A shown containing 5); or a box's color contradicts its role (e.g. the result box is shown in red).
level_3: The green box contains exactly {3,4}, matching the intersection of A={1,2,3,4} and B={3,4,5,6}; A and B themselves show the correct elements; the blue/yellow/green color scheme is used; however, either the green box appears without a clear visual reason to expect it (e.g., it isn't obviously tied to both A and B being shown), or it shows up before A and B are both fully displayed.
level_4: The green box contains exactly {3,4} and appears only after both A and B are fully visible; the color coding is consistent and unambiguous; nothing in the green box comes from outside A or B; however, either one digit in the green box is styled inconsistently (e.g. "3" bold, "4" normal), or the green box briefly overlaps A or B while entering before settling into its final position.
level_5: The green box shows exactly {3,4}, no more, no fewer; it appears only once both A and B are fully and stably displayed; the blue-A/yellow-B/green-result color scheme is followed exactly; every digit shares the same style, size, and alignment; the appearance of the green box is visually tied to A and B already being on screen together (e.g. it doesn't fade in until both are settled), reinforcing that it is derived from comparing the two.

Spatiotemporal Consistency rubric:
level_1: A box jumps from one place to another with no motion in between (e.g. the blue box suddenly appears on the right instead of sliding/fading in on the left); a box's shape visibly distorts (e.g. a rectangle briefly becomes a trapezoid); the white background suddenly flashes a different color; boxes blink fully in or out with no transition.
level_2: At least one box appears fully formed with no entry motion at all; A and B start side by side but end up overlapping, or the green box appears floating with no clear anchor near the bottom of the frame; a shadow or lighting effect appears on some frames but not others with no explanation.
level_3: All boxes keep a consistent rectangular shape, color, and orientation; A and B stay side by side the whole time; the green box stays fixed below both once it appears; nothing teleports or warps; but there's a minor flaw, such as one box flickering briefly as it appears, the green box's entry looking a little stuttery, or a slightly rough-looking edge on one box border that doesn't affect recognizing its shape.
level_4: All motion is smooth and continuous: A and B enter and then stay put; the green box enters with a single smooth motion (e.g. sliding up or fading in) and settles into a fixed spot below both; no box changes shape or color, and there's no lighting glitch; however, either the "{3,4}" label is very slightly misaligned with its box edge, or the background shows barely noticeable graininess that doesn't affect its overall whiteness.
level_5: No spatiotemporal issues at all: A and B appear together and stay perfectly still in their side-by-side positions; the green box's entry is smooth with no stutter, overshoot, or bounce, and it settles exactly centered below both; every box edge looks clean rather than jagged; the background stays evenly white in every frame; there's no flicker in brightness or color, and no sign of drift, tilt, or perspective change anywhere in the clip.