MAYBE
Time: 0.260

Problem:
 Equations:
  pAC(pAC(x3,x4),x5) -> pAC(x3,pAC(x4,x5))
  pAC(x3,x4) -> pAC(x4,x3)
  mAC(mAC(x3,x4),x5) -> mAC(x3,mAC(x4,x5))
  mAC(x3,x4) -> mAC(x4,x3)
  pAC(x3,pAC(x4,x5)) -> pAC(pAC(x3,x4),x5)
  pAC(x4,x3) -> pAC(x3,x4)
  mAC(x3,mAC(x4,x5)) -> mAC(mAC(x3,x4),x5)
  mAC(x4,x3) -> mAC(x3,x4)
 TRS:
  pAC(x,zero()) -> x
  mAC(x,one()) -> x
  mAC(z,pAC(x,y)) -> pAC(mAC(z,x),mAC(z,y))
  mAC(pAC(x,y),z) -> pAC(mAC(x,z),mAC(y,z))

Proof:
 DP Processor:
  Equations#:
   p{AC,#}(pAC(x3,x4),x5) -> p{AC,#}(x3,pAC(x4,x5))
   p{AC,#}(x3,x4) -> p{AC,#}(x4,x3)
   m{AC,#}(mAC(x3,x4),x5) -> m{AC,#}(x3,mAC(x4,x5))
   m{AC,#}(x3,x4) -> m{AC,#}(x4,x3)
   p{AC,#}(x3,pAC(x4,x5)) -> p{AC,#}(pAC(x3,x4),x5)
   p{AC,#}(x4,x3) -> p{AC,#}(x3,x4)
   m{AC,#}(x3,mAC(x4,x5)) -> m{AC,#}(mAC(x3,x4),x5)
   m{AC,#}(x4,x3) -> m{AC,#}(x3,x4)
  DPs:
   m{AC,#}(z,pAC(x,y)) -> m{AC,#}(z,y)
   m{AC,#}(z,pAC(x,y)) -> m{AC,#}(z,x)
   m{AC,#}(z,pAC(x,y)) -> p{AC,#}(mAC(z,x),mAC(z,y))
   m{AC,#}(pAC(x,y),z) -> m{AC,#}(y,z)
   m{AC,#}(pAC(x,y),z) -> m{AC,#}(x,z)
   m{AC,#}(pAC(x,y),z) -> p{AC,#}(mAC(x,z),mAC(y,z))
   p{AC,#}(x6,pAC(x,zero())) -> p{AC,#}(x6,x)
   m{AC,#}(x7,mAC(x,one())) -> m{AC,#}(x7,x)
   m{AC,#}(x8,mAC(z,pAC(x,y))) -> m{AC,#}(z,y)
   m{AC,#}(x8,mAC(z,pAC(x,y))) -> m{AC,#}(z,x)
   m{AC,#}(x8,mAC(z,pAC(x,y))) -> p{AC,#}(mAC(z,x),mAC(z,y))
   m{AC,#}(x8,mAC(z,pAC(x,y))) -> m{AC,#}(x8,pAC(mAC(z,x),mAC(z,y)))
   m{AC,#}(x9,mAC(pAC(x,y),z)) -> m{AC,#}(y,z)
   m{AC,#}(x9,mAC(pAC(x,y),z)) -> m{AC,#}(x,z)
   m{AC,#}(x9,mAC(pAC(x,y),z)) -> p{AC,#}(mAC(x,z),mAC(y,z))
   m{AC,#}(x9,mAC(pAC(x,y),z)) -> m{AC,#}(x9,pAC(mAC(x,z),mAC(y,z)))
  Equations:
   pAC(pAC(x3,x4),x5) -> pAC(x3,pAC(x4,x5))
   pAC(x3,x4) -> pAC(x4,x3)
   mAC(mAC(x3,x4),x5) -> mAC(x3,mAC(x4,x5))
   mAC(x3,x4) -> mAC(x4,x3)
   pAC(x3,pAC(x4,x5)) -> pAC(pAC(x3,x4),x5)
   pAC(x4,x3) -> pAC(x3,x4)
   mAC(x3,mAC(x4,x5)) -> mAC(mAC(x3,x4),x5)
   mAC(x4,x3) -> mAC(x3,x4)
  TRS:
   pAC(x,zero()) -> x
   mAC(x,one()) -> x
   mAC(z,pAC(x,y)) -> pAC(mAC(z,x),mAC(z,y))
   mAC(pAC(x,y),z) -> pAC(mAC(x,z),mAC(y,z))
  S:
   p{AC,#}(pAC(x10,x11),x12) -> p{AC,#}(x10,x11)
   p{AC,#}(x10,pAC(x11,x12)) -> p{AC,#}(x11,x12)
   m{AC,#}(mAC(x10,x11),x12) -> m{AC,#}(x10,x11)
   m{AC,#}(x10,mAC(x11,x12)) -> m{AC,#}(x11,x12)
  AC-EDG Processor:
   Equations#:
    p{AC,#}(pAC(x3,x4),x5) -> p{AC,#}(x3,pAC(x4,x5))
    p{AC,#}(x3,x4) -> p{AC,#}(x4,x3)
    m{AC,#}(mAC(x3,x4),x5) -> m{AC,#}(x3,mAC(x4,x5))
    m{AC,#}(x3,x4) -> m{AC,#}(x4,x3)
    p{AC,#}(x3,pAC(x4,x5)) -> p{AC,#}(pAC(x3,x4),x5)
    p{AC,#}(x4,x3) -> p{AC,#}(x3,x4)
    m{AC,#}(x3,mAC(x4,x5)) -> m{AC,#}(mAC(x3,x4),x5)
    m{AC,#}(x4,x3) -> m{AC,#}(x3,x4)
   DPs:
    m{AC,#}(z,pAC(x,y)) -> m{AC,#}(z,y)
    m{AC,#}(z,pAC(x,y)) -> m{AC,#}(z,x)
    m{AC,#}(z,pAC(x,y)) -> p{AC,#}(mAC(z,x),mAC(z,y))
    m{AC,#}(pAC(x,y),z) -> m{AC,#}(y,z)
    m{AC,#}(pAC(x,y),z) -> m{AC,#}(x,z)
    m{AC,#}(pAC(x,y),z) -> p{AC,#}(mAC(x,z),mAC(y,z))
    p{AC,#}(x6,pAC(x,zero())) -> p{AC,#}(x6,x)
    m{AC,#}(x7,mAC(x,one())) -> m{AC,#}(x7,x)
    m{AC,#}(x8,mAC(z,pAC(x,y))) -> m{AC,#}(z,y)
    m{AC,#}(x8,mAC(z,pAC(x,y))) -> m{AC,#}(z,x)
    m{AC,#}(x8,mAC(z,pAC(x,y))) -> p{AC,#}(mAC(z,x),mAC(z,y))
    m{AC,#}(x8,mAC(z,pAC(x,y))) -> m{AC,#}(x8,pAC(mAC(z,x),mAC(z,y)))
    m{AC,#}(x9,mAC(pAC(x,y),z)) -> m{AC,#}(y,z)
    m{AC,#}(x9,mAC(pAC(x,y),z)) -> m{AC,#}(x,z)
    m{AC,#}(x9,mAC(pAC(x,y),z)) -> p{AC,#}(mAC(x,z),mAC(y,z))
    m{AC,#}(x9,mAC(pAC(x,y),z)) -> m{AC,#}(x9,pAC(mAC(x,z),mAC(y,z)))
   Equations:
    pAC(pAC(x3,x4),x5) -> pAC(x3,pAC(x4,x5))
    pAC(x3,x4) -> pAC(x4,x3)
    mAC(mAC(x3,x4),x5) -> mAC(x3,mAC(x4,x5))
    mAC(x3,x4) -> mAC(x4,x3)
    pAC(x3,pAC(x4,x5)) -> pAC(pAC(x3,x4),x5)
    pAC(x4,x3) -> pAC(x3,x4)
    mAC(x3,mAC(x4,x5)) -> mAC(mAC(x3,x4),x5)
    mAC(x4,x3) -> mAC(x3,x4)
   TRS:
    pAC(x,zero()) -> x
    mAC(x,one()) -> x
    mAC(z,pAC(x,y)) -> pAC(mAC(z,x),mAC(z,y))
    mAC(pAC(x,y),z) -> pAC(mAC(x,z),mAC(y,z))
   S:
    p{AC,#}(pAC(x10,x11),x12) -> p{AC,#}(x10,x11)
    p{AC,#}(x10,pAC(x11,x12)) -> p{AC,#}(x11,x12)
    m{AC,#}(mAC(x10,x11),x12) -> m{AC,#}(x10,x11)
    m{AC,#}(x10,mAC(x11,x12)) -> m{AC,#}(x11,x12)
   Open