Solution graph eq02: (x^3 + a)^3 + a = x (mo873.pdf Пример 7, ур-ние (33))
Matches reference: 1 / 1
Completeness: Lean ✓
Judge: Completeness proven
Run: strong
Lean: 12 / 22
How to read the graph
The graph reads left to right. Problem — the original equation. Idea — a solution plan the agent formulated before trying. Variant — an attempt to solve along the idea; a successful variant ends in a ★ final solution. A variant is carried out by an implementation: subtasks whose solutions (fragments) are assembled into the final solution — only some fragments make it into the result. A dead end is a variant that produced no solution: its whole branch (implementation, subtasks, fragments) is not part of the result. Completeness is a separate branch: the argument that there are no other solutions.
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Prompts and raw model outputs are not shown; reference solutions and the judge's retelling of them are hidden.