MAYBE
Time: 0.296

Problem:
 Equations:
  pAC(pAC(x2,x3),x4) -> pAC(x2,pAC(x3,x4))
  pAC(x2,x3) -> pAC(x3,x2)
  pAC(x2,pAC(x3,x4)) -> pAC(pAC(x2,x3),x4)
  pAC(x3,x2) -> pAC(x2,x3)
 TRS:
  pAC(x,one()) -> x
  pAC(x,x) -> x
  pAC(T(x),x) -> T(x)
  T(pAC(x,T(y))) -> pAC(T(pAC(x,y)),T(y))
  L(pAC(x,T(y))) -> pAC(L(pAC(x,y)),L(y))

Proof:
 DP Processor:
  Equations#:
   p{AC,#}(pAC(x2,x3),x4) -> p{AC,#}(x2,pAC(x3,x4))
   p{AC,#}(x2,x3) -> p{AC,#}(x3,x2)
   p{AC,#}(x2,pAC(x3,x4)) -> p{AC,#}(pAC(x2,x3),x4)
   p{AC,#}(x3,x2) -> p{AC,#}(x2,x3)
  DPs:
   T#(pAC(x,T(y))) -> p{AC,#}(x,y)
   T#(pAC(x,T(y))) -> T#(pAC(x,y))
   T#(pAC(x,T(y))) -> p{AC,#}(T(pAC(x,y)),T(y))
   L#(pAC(x,T(y))) -> L#(y)
   L#(pAC(x,T(y))) -> p{AC,#}(x,y)
   L#(pAC(x,T(y))) -> L#(pAC(x,y))
   L#(pAC(x,T(y))) -> p{AC,#}(L(pAC(x,y)),L(y))
   p{AC,#}(x5,pAC(x,one())) -> p{AC,#}(x5,x)
   p{AC,#}(x6,pAC(x,x)) -> p{AC,#}(x6,x)
   p{AC,#}(x7,pAC(T(x),x)) -> p{AC,#}(x7,T(x))
  Equations:
   pAC(pAC(x2,x3),x4) -> pAC(x2,pAC(x3,x4))
   pAC(x2,x3) -> pAC(x3,x2)
   pAC(x2,pAC(x3,x4)) -> pAC(pAC(x2,x3),x4)
   pAC(x3,x2) -> pAC(x2,x3)
  TRS:
   pAC(x,one()) -> x
   pAC(x,x) -> x
   pAC(T(x),x) -> T(x)
   T(pAC(x,T(y))) -> pAC(T(pAC(x,y)),T(y))
   L(pAC(x,T(y))) -> pAC(L(pAC(x,y)),L(y))
  S:
   p{AC,#}(pAC(x8,x9),x10) -> p{AC,#}(x8,x9)
   p{AC,#}(x8,pAC(x9,x10)) -> p{AC,#}(x9,x10)
  AC-EDG Processor:
   Equations#:
    p{AC,#}(pAC(x2,x3),x4) -> p{AC,#}(x2,pAC(x3,x4))
    p{AC,#}(x2,x3) -> p{AC,#}(x3,x2)
    p{AC,#}(x2,pAC(x3,x4)) -> p{AC,#}(pAC(x2,x3),x4)
    p{AC,#}(x3,x2) -> p{AC,#}(x2,x3)
   DPs:
    T#(pAC(x,T(y))) -> p{AC,#}(x,y)
    T#(pAC(x,T(y))) -> T#(pAC(x,y))
    T#(pAC(x,T(y))) -> p{AC,#}(T(pAC(x,y)),T(y))
    L#(pAC(x,T(y))) -> L#(y)
    L#(pAC(x,T(y))) -> p{AC,#}(x,y)
    L#(pAC(x,T(y))) -> L#(pAC(x,y))
    L#(pAC(x,T(y))) -> p{AC,#}(L(pAC(x,y)),L(y))
    p{AC,#}(x5,pAC(x,one())) -> p{AC,#}(x5,x)
    p{AC,#}(x6,pAC(x,x)) -> p{AC,#}(x6,x)
    p{AC,#}(x7,pAC(T(x),x)) -> p{AC,#}(x7,T(x))
   Equations:
    pAC(pAC(x2,x3),x4) -> pAC(x2,pAC(x3,x4))
    pAC(x2,x3) -> pAC(x3,x2)
    pAC(x2,pAC(x3,x4)) -> pAC(pAC(x2,x3),x4)
    pAC(x3,x2) -> pAC(x2,x3)
   TRS:
    pAC(x,one()) -> x
    pAC(x,x) -> x
    pAC(T(x),x) -> T(x)
    T(pAC(x,T(y))) -> pAC(T(pAC(x,y)),T(y))
    L(pAC(x,T(y))) -> pAC(L(pAC(x,y)),L(y))
   S:
    p{AC,#}(pAC(x8,x9),x10) -> p{AC,#}(x8,x9)
    p{AC,#}(x8,pAC(x9,x10)) -> p{AC,#}(x9,x10)
   Open