What problem does it solve? Competition math proofs (IMO, Putnam, USAMO, AIME) often contain subtle errors that self-verification misses, and confident but wrong answers are worse than honest abstention. This Skill orchestrates parallel solving agents, fresh-context adversarial verifiers, and calibrated abstention to produce proofs that survive hostile review. ## Core Features & Use Cases - Parallel candidate generation: Launches 8-12 solver agents with varied starting angles, each internally iterating through solve, self-improve, and self-verify rounds. - Adversarial verification: Fresh-context verifiers attack cleaned proofs using 12 specific failure patterns (tautological reductions, hypothesis mismatches, one-line lemmas) rather than generic logic checks, with asymmetric 4-confirm/2-refute voting. - Calibrated abstention and deep mode: Says "no confident solution" with partial results instead of bluffing, and escalates abstained problems to a focused deep-mode agent with bounded local computation. - Use Case: Given an IMO problem statement, the Skill fans out solvers, strips reasoning traces, runs pattern-armed verifiers, revises holes up to 3 cycles, and compiles the verified proof into a LaTeX PDF. ## Quick Start Ask the assistant to solve this IMO problem and verify the proof adversarially before presenting it as a PDF.