MAYBE
Time: 0.230

Problem:
 Equations:
  
 TRS:
  pAC(x,zero()) -> x
  pAC(f(x),f(y)) -> f(pAC(x,y))
  f(zero()) -> zero()
  pAC(g(x),g(y)) -> g(pAC(x,y))
  g(zero()) -> zero()
  m(one(),x) -> x
  m(x,one()) -> x
  f(one()) -> one()
  g(one()) -> one()
  m(z,pAC(x,y)) -> pAC(m(z,x),m(z,y))
  m(pAC(x,y),z) -> pAC(m(x,z),m(y,z))
  m(f(x),f(y)) -> f(m(x,y))
  m(g(x),g(y)) -> g(m(x,y))

Proof:
 Open