There are several approaches for using computers in deriving mathematical proofs. For their illustration, we provide an in-depth study of using computer support for proving one complex combinatorial conjecture -- correctness of a strategy for the chess KRK endgame. The final, machine verifiable, result presented in this paper is that there is a winning strategy for white in the KRK endgame generalized to $n \times n$ board (for natural $n$ greater than $3$). We demonstrate that different approaches for computer-based theorem proving work best together and in synergy and that the technology currently available is powerful enough for providing significant help to humans deriving complex proofs.

@article{paperbot810,
  title = {Computer-Assisted Proving of Combinatorial Conjectures Over Finite Domains: A Case Study of a Chess Conjecture},
  author = {Predrag Janičić and Filip Marić and Marko Maliković},
  journal = {Logical Methods in Computer Science},
  volume = {Volume 15, Issue 1},
  year = {2019},
  doi = {10.23638/lmcs-15(1:34)2019}
}