Problem:
 f(y,f(x,f(a(),x))) -> f(f(a(),f(x,a())),f(a(),y))
 f(x,f(x,y)) -> f(f(f(x,a()),a()),a())

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {2}
   transitions:
    f0(1,1) -> 2*
    a0() -> 1*
  problem:
   
  Qed