MAYBE
Time: 0.010

Problem:
 Equations:
  
 TRS:
  pAC(x,zero()) -> x
  pAC(i(x),x) -> zero()
  m(one(),x) -> x
  m(x,one()) -> x
  m(x,m(y,z)) -> m(m(x,y),z)
  m(z,pAC(x,y)) -> pAC(m(z,x),m(z,y))
  m(pAC(x,y),z) -> pAC(m(x,z),m(y,z))
  gAC(x,n()) -> x
  gAC(x,inv(x)) -> n()
  sm(x,sm(y,z)) -> sm(m(x,y),z)
  sm(one(),z) -> z
  gAC(sm(x,z),sm(y,z)) -> sm(pAC(x,y),z)
  sm(x,gAC(y,z)) -> gAC(sm(x,y),sm(x,z))

Proof:
 Open