Skill: spatial-topological-construction-planning

[Case 2]

• Initial Environment: A construction robot must assemble a stepped tower from blocks. The robot can carry blocks, place them, and climb onto previously placed structure elements, but it cannot magically reach upper placements from ground level.
• Real Question: Build the specified two-level tower with a side step that allows the robot to reach the final top placement.
• Real Trajectory: Carry the first block to create the side step. Climb onto the step to gain height. Carry and place the support block for the second level. Reposition using the new foothold and place the final top block.
• Real Answer: The correct plan first creates reachability, then uses the created topology to access the higher placement site.
• Why this demonstrates the capability: The benchmark tests whether the planner understands that construction actions alter future mobility. The right answer depends on build order and climbability, not just on the final geometry. That makes it a clean test of spatial-temporal coupling between structure creation and action feasibility.

Pipeline Execution Instructions

To synthesize data for this capability, you must strictly follow a 3-phase pipeline. Do not hallucinate steps. Read the corresponding reference file for each phase sequentially:

1. Phase 1: Environment Exploration Read the exploration guidelines to discover raw knowledge seeds: references/EXPLORATION.md

2. Phase 2: Trajectory Selection Once Phase 1 is complete, read the selection criteria to evaluate the trajectory: references/SELECTION.md

3. Phase 3: Data Synthesis Once a trajectory passes Phase 2, read the synthesis instructions to generate the final data: references/SYNTHESIS.md