YES
Time: 0.363

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,zero()) -> zero()
  pAC(s(x),y) -> s(pAC(x,y))
  mAC(s(x),y) -> pAC(mAC(x,y),y)
  mAC(x,pAC(y,z)) -> pAC(mAC(x,y),mAC(x,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:
   p{AC,#}(s(x),y) -> p{AC,#}(x,y)
   m{AC,#}(s(x),y) -> m{AC,#}(x,y)
   m{AC,#}(s(x),y) -> p{AC,#}(mAC(x,y),y)
   m{AC,#}(x,pAC(y,z)) -> m{AC,#}(x,z)
   m{AC,#}(x,pAC(y,z)) -> m{AC,#}(x,y)
   m{AC,#}(x,pAC(y,z)) -> p{AC,#}(mAC(x,y),mAC(x,z))
   p{AC,#}(x6,pAC(x,zero())) -> p{AC,#}(x6,x)
   m{AC,#}(x7,mAC(x,zero())) -> m{AC,#}(x7,zero())
   p{AC,#}(x8,pAC(s(x),y)) -> p{AC,#}(x,y)
   p{AC,#}(x8,pAC(s(x),y)) -> p{AC,#}(x8,s(pAC(x,y)))
   m{AC,#}(x9,mAC(s(x),y)) -> m{AC,#}(x,y)
   m{AC,#}(x9,mAC(s(x),y)) -> p{AC,#}(mAC(x,y),y)
   m{AC,#}(x9,mAC(s(x),y)) -> m{AC,#}(x9,pAC(mAC(x,y),y))
   m{AC,#}(x10,mAC(x,pAC(y,z))) -> m{AC,#}(x,z)
   m{AC,#}(x10,mAC(x,pAC(y,z))) -> m{AC,#}(x,y)
   m{AC,#}(x10,mAC(x,pAC(y,z))) -> p{AC,#}(mAC(x,y),mAC(x,z))
   m{AC,#}(x10,mAC(x,pAC(y,z))) -> m{AC,#}(x10,pAC(mAC(x,y),mAC(x,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,zero()) -> zero()
   pAC(s(x),y) -> s(pAC(x,y))
   mAC(s(x),y) -> pAC(mAC(x,y),y)
   mAC(x,pAC(y,z)) -> pAC(mAC(x,y),mAC(x,z))
  S:
   p{AC,#}(pAC(x11,x12),x13) -> p{AC,#}(x11,x12)
   p{AC,#}(x11,pAC(x12,x13)) -> p{AC,#}(x12,x13)
   m{AC,#}(mAC(x11,x12),x13) -> m{AC,#}(x11,x12)
   m{AC,#}(x11,mAC(x12,x13)) -> m{AC,#}(x12,x13)
  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:
    p{AC,#}(s(x),y) -> p{AC,#}(x,y)
    m{AC,#}(s(x),y) -> m{AC,#}(x,y)
    m{AC,#}(s(x),y) -> p{AC,#}(mAC(x,y),y)
    m{AC,#}(x,pAC(y,z)) -> m{AC,#}(x,z)
    m{AC,#}(x,pAC(y,z)) -> m{AC,#}(x,y)
    m{AC,#}(x,pAC(y,z)) -> p{AC,#}(mAC(x,y),mAC(x,z))
    p{AC,#}(x6,pAC(x,zero())) -> p{AC,#}(x6,x)
    m{AC,#}(x7,mAC(x,zero())) -> m{AC,#}(x7,zero())
    p{AC,#}(x8,pAC(s(x),y)) -> p{AC,#}(x,y)
    p{AC,#}(x8,pAC(s(x),y)) -> p{AC,#}(x8,s(pAC(x,y)))
    m{AC,#}(x9,mAC(s(x),y)) -> m{AC,#}(x,y)
    m{AC,#}(x9,mAC(s(x),y)) -> p{AC,#}(mAC(x,y),y)
    m{AC,#}(x9,mAC(s(x),y)) -> m{AC,#}(x9,pAC(mAC(x,y),y))
    m{AC,#}(x10,mAC(x,pAC(y,z))) -> m{AC,#}(x,z)
    m{AC,#}(x10,mAC(x,pAC(y,z))) -> m{AC,#}(x,y)
    m{AC,#}(x10,mAC(x,pAC(y,z))) -> p{AC,#}(mAC(x,y),mAC(x,z))
    m{AC,#}(x10,mAC(x,pAC(y,z))) -> m{AC,#}(x10,pAC(mAC(x,y),mAC(x,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,zero()) -> zero()
    pAC(s(x),y) -> s(pAC(x,y))
    mAC(s(x),y) -> pAC(mAC(x,y),y)
    mAC(x,pAC(y,z)) -> pAC(mAC(x,y),mAC(x,z))
   S:
    p{AC,#}(pAC(x11,x12),x13) -> p{AC,#}(x11,x12)
    p{AC,#}(x11,pAC(x12,x13)) -> p{AC,#}(x12,x13)
    m{AC,#}(mAC(x11,x12),x13) -> m{AC,#}(x11,x12)
    m{AC,#}(x11,mAC(x12,x13)) -> m{AC,#}(x12,x13)
   SCC Processor:
    #sccs: 2
    #rules: 13
    #arcs: 149/289
    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,#}(s(x),y) -> m{AC,#}(x,y)
     m{AC,#}(x10,mAC(x,pAC(y,z))) -> m{AC,#}(x10,pAC(mAC(x,y),mAC(x,z)))
     m{AC,#}(x10,mAC(x,pAC(y,z))) -> m{AC,#}(x,y)
     m{AC,#}(x10,mAC(x,pAC(y,z))) -> m{AC,#}(x,z)
     m{AC,#}(x9,mAC(s(x),y)) -> m{AC,#}(x9,pAC(mAC(x,y),y))
     m{AC,#}(x9,mAC(s(x),y)) -> m{AC,#}(x,y)
     m{AC,#}(x7,mAC(x,zero())) -> m{AC,#}(x7,zero())
     m{AC,#}(x,pAC(y,z)) -> m{AC,#}(x,y)
     m{AC,#}(x,pAC(y,z)) -> m{AC,#}(x,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,zero()) -> zero()
     pAC(s(x),y) -> s(pAC(x,y))
     mAC(s(x),y) -> pAC(mAC(x,y),y)
     mAC(x,pAC(y,z)) -> pAC(mAC(x,y),mAC(x,z))
    S:
     p{AC,#}(pAC(x11,x12),x13) -> p{AC,#}(x11,x12)
     p{AC,#}(x11,pAC(x12,x13)) -> p{AC,#}(x12,x13)
     m{AC,#}(mAC(x11,x12),x13) -> m{AC,#}(x11,x12)
     m{AC,#}(x11,mAC(x12,x13)) -> m{AC,#}(x12,x13)
    AC-DP unlabeling:
     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)
     DPs:
      mAC(s(x),y) -> mAC(x,y)
      mAC(x10,mAC(x,pAC(y,z))) -> mAC(x10,pAC(mAC(x,y),mAC(x,z)))
      mAC(x10,mAC(x,pAC(y,z))) -> mAC(x,y)
      mAC(x10,mAC(x,pAC(y,z))) -> mAC(x,z)
      mAC(x9,mAC(s(x),y)) -> mAC(x9,pAC(mAC(x,y),y))
      mAC(x9,mAC(s(x),y)) -> mAC(x,y)
      mAC(x7,mAC(x,zero())) -> mAC(x7,zero())
      mAC(x,pAC(y,z)) -> mAC(x,y)
      mAC(x,pAC(y,z)) -> mAC(x,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,zero()) -> zero()
      pAC(s(x),y) -> s(pAC(x,y))
      mAC(s(x),y) -> pAC(mAC(x,y),y)
      mAC(x,pAC(y,z)) -> pAC(mAC(x,y),mAC(x,z))
     S:
      pAC(pAC(x11,x12),x13) -> pAC(x11,x12)
      pAC(x11,pAC(x12,x13)) -> pAC(x12,x13)
      mAC(mAC(x11,x12),x13) -> mAC(x11,x12)
      mAC(x11,mAC(x12,x13)) -> mAC(x12,x13)
     AC-RPO Processor:
      argument filtering:
       pi(pAC) = [0,1]
       pi(mAC) = [0,1]
       pi(zero) = []
       pi(s) = []
      precedence:
       s > mAC > zero > pAC
      status:
       
      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)
       DPs:
        
       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,zero()) -> zero()
        pAC(s(x),y) -> s(pAC(x,y))
        mAC(s(x),y) -> pAC(mAC(x,y),y)
        mAC(x,pAC(y,z)) -> pAC(mAC(x,y),mAC(x,z))
       S:
        pAC(pAC(x11,x12),x13) -> pAC(x11,x12)
        pAC(x11,pAC(x12,x13)) -> pAC(x12,x13)
        mAC(mAC(x11,x12),x13) -> mAC(x11,x12)
        mAC(x11,mAC(x12,x13)) -> mAC(x12,x13)
      Qed
    
    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:
     p{AC,#}(x8,pAC(s(x),y)) -> p{AC,#}(x8,s(pAC(x,y)))
     p{AC,#}(x8,pAC(s(x),y)) -> p{AC,#}(x,y)
     p{AC,#}(x6,pAC(x,zero())) -> p{AC,#}(x6,x)
     p{AC,#}(s(x),y) -> p{AC,#}(x,y)
    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,zero()) -> zero()
     pAC(s(x),y) -> s(pAC(x,y))
     mAC(s(x),y) -> pAC(mAC(x,y),y)
     mAC(x,pAC(y,z)) -> pAC(mAC(x,y),mAC(x,z))
    S:
     p{AC,#}(pAC(x11,x12),x13) -> p{AC,#}(x11,x12)
     p{AC,#}(x11,pAC(x12,x13)) -> p{AC,#}(x12,x13)
     m{AC,#}(mAC(x11,x12),x13) -> m{AC,#}(x11,x12)
     m{AC,#}(x11,mAC(x12,x13)) -> m{AC,#}(x12,x13)
    AC-DP unlabeling:
     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)
     DPs:
      pAC(x8,pAC(s(x),y)) -> pAC(x8,s(pAC(x,y)))
      pAC(x8,pAC(s(x),y)) -> pAC(x,y)
      pAC(x6,pAC(x,zero())) -> pAC(x6,x)
      pAC(s(x),y) -> pAC(x,y)
     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,zero()) -> zero()
      pAC(s(x),y) -> s(pAC(x,y))
      mAC(s(x),y) -> pAC(mAC(x,y),y)
      mAC(x,pAC(y,z)) -> pAC(mAC(x,y),mAC(x,z))
     S:
      pAC(pAC(x11,x12),x13) -> pAC(x11,x12)
      pAC(x11,pAC(x12,x13)) -> pAC(x12,x13)
      mAC(mAC(x11,x12),x13) -> mAC(x11,x12)
      mAC(x11,mAC(x12,x13)) -> mAC(x12,x13)
     Usable Rule Processor:
      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)
      DPs:
       pAC(x8,pAC(s(x),y)) -> pAC(x8,s(pAC(x,y)))
       pAC(x8,pAC(s(x),y)) -> pAC(x,y)
       pAC(x6,pAC(x,zero())) -> pAC(x6,x)
       pAC(s(x),y) -> pAC(x,y)
      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(s(x),y) -> s(pAC(x,y))
       pAC(x,zero()) -> x
      S:
       pAC(pAC(x11,x12),x13) -> pAC(x11,x12)
       pAC(x11,pAC(x12,x13)) -> pAC(x12,x13)
       mAC(mAC(x11,x12),x13) -> mAC(x11,x12)
       mAC(x11,mAC(x12,x13)) -> mAC(x12,x13)
      AC-RPO Processor:
       argument filtering:
        pi(pAC) = [0,1]
        pi(mAC) = [0,1]
        pi(zero) = []
        pi(s) = []
       precedence:
        zero > mAC > pAC > s
       status:
        
       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)
        DPs:
         
        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(s(x),y) -> s(pAC(x,y))
         pAC(x,zero()) -> x
        S:
         pAC(pAC(x11,x12),x13) -> pAC(x11,x12)
         pAC(x11,pAC(x12,x13)) -> pAC(x12,x13)
         mAC(mAC(x11,x12),x13) -> mAC(x11,x12)
         mAC(x11,mAC(x12,x13)) -> mAC(x12,x13)
       Qed