Problem:
 a(x1) -> x1
 a(b(x1)) -> b(a(c(b(a(x1)))))
 b(x1) -> a(x1)
 c(c(x1)) -> x1

Proof:
 Unfolding Processor:
  loop length: 8
  terms:
   a(b(c(b(x46926))))
   b(a(c(b(a(c(b(x46926)))))))
   a(a(c(b(a(c(b(x46926)))))))
   a(a(c(a(a(c(b(x46926)))))))
   a(a(c(a(c(b(x46926))))))
   a(a(c(c(b(x46926)))))
   a(a(b(x46926)))
   a(b(a(c(b(a(x46926))))))
  context: []
  substitution:
   x46926 -> a(x46926)
  Qed