MAYBE
Time: 0.336

Problem:
 Equations:
  plusAC(plusAC(x2,x3),x4) -> plusAC(x2,plusAC(x3,x4))
  plusAC(x2,x3) -> plusAC(x3,x2)
  plusAC(x2,plusAC(x3,x4)) -> plusAC(plusAC(x2,x3),x4)
  plusAC(x3,x2) -> plusAC(x2,x3)
 TRS:
  plusAC(x,0()) -> x
  plusAC(x,x) -> x
  plusAC(T(x),x) -> T(x)
  plusAC(T(plusAC(x,y)),x) -> T(plusAC(x,y))
  L(T(x)) -> L(x)
  L(plusAC(T(y),x)) -> plusAC(L(plusAC(x,y)),L(y))
  T(T(x)) -> T(x)
  T(plusAC(T(y),x)) -> plusAC(T(plusAC(x,y)),T(y))

Proof:
 DP Processor:
  Equations#:
   plus{AC,#}(plusAC(x2,x3),x4) -> plus{AC,#}(x2,plusAC(x3,x4))
   plus{AC,#}(x2,x3) -> plus{AC,#}(x3,x2)
   plus{AC,#}(x2,plusAC(x3,x4)) -> plus{AC,#}(plusAC(x2,x3),x4)
   plus{AC,#}(x3,x2) -> plus{AC,#}(x2,x3)
  DPs:
   L#(T(x)) -> L#(x)
   L#(plusAC(T(y),x)) -> L#(y)
   L#(plusAC(T(y),x)) -> plus{AC,#}(x,y)
   L#(plusAC(T(y),x)) -> L#(plusAC(x,y))
   L#(plusAC(T(y),x)) -> plus{AC,#}(L(plusAC(x,y)),L(y))
   T#(plusAC(T(y),x)) -> plus{AC,#}(x,y)
   T#(plusAC(T(y),x)) -> T#(plusAC(x,y))
   T#(plusAC(T(y),x)) -> plus{AC,#}(T(plusAC(x,y)),T(y))
   plus{AC,#}(x5,plusAC(x,0())) -> plus{AC,#}(x5,x)
   plus{AC,#}(x6,plusAC(x,x)) -> plus{AC,#}(x6,x)
   plus{AC,#}(x7,plusAC(T(x),x)) -> plus{AC,#}(x7,T(x))
   plus{AC,#}(x8,plusAC(T(plusAC(x,y)),x)) -> plus{AC,#}(x8,T(plusAC(x,y)))
  Equations:
   plusAC(plusAC(x2,x3),x4) -> plusAC(x2,plusAC(x3,x4))
   plusAC(x2,x3) -> plusAC(x3,x2)
   plusAC(x2,plusAC(x3,x4)) -> plusAC(plusAC(x2,x3),x4)
   plusAC(x3,x2) -> plusAC(x2,x3)
  TRS:
   plusAC(x,0()) -> x
   plusAC(x,x) -> x
   plusAC(T(x),x) -> T(x)
   plusAC(T(plusAC(x,y)),x) -> T(plusAC(x,y))
   L(T(x)) -> L(x)
   L(plusAC(T(y),x)) -> plusAC(L(plusAC(x,y)),L(y))
   T(T(x)) -> T(x)
   T(plusAC(T(y),x)) -> plusAC(T(plusAC(x,y)),T(y))
  S:
   plus{AC,#}(plusAC(x9,x10),x11) -> plus{AC,#}(x9,x10)
   plus{AC,#}(x9,plusAC(x10,x11)) -> plus{AC,#}(x10,x11)
  AC-EDG Processor:
   Equations#:
    plus{AC,#}(plusAC(x2,x3),x4) -> plus{AC,#}(x2,plusAC(x3,x4))
    plus{AC,#}(x2,x3) -> plus{AC,#}(x3,x2)
    plus{AC,#}(x2,plusAC(x3,x4)) -> plus{AC,#}(plusAC(x2,x3),x4)
    plus{AC,#}(x3,x2) -> plus{AC,#}(x2,x3)
   DPs:
    L#(T(x)) -> L#(x)
    L#(plusAC(T(y),x)) -> L#(y)
    L#(plusAC(T(y),x)) -> plus{AC,#}(x,y)
    L#(plusAC(T(y),x)) -> L#(plusAC(x,y))
    L#(plusAC(T(y),x)) -> plus{AC,#}(L(plusAC(x,y)),L(y))
    T#(plusAC(T(y),x)) -> plus{AC,#}(x,y)
    T#(plusAC(T(y),x)) -> T#(plusAC(x,y))
    T#(plusAC(T(y),x)) -> plus{AC,#}(T(plusAC(x,y)),T(y))
    plus{AC,#}(x5,plusAC(x,0())) -> plus{AC,#}(x5,x)
    plus{AC,#}(x6,plusAC(x,x)) -> plus{AC,#}(x6,x)
    plus{AC,#}(x7,plusAC(T(x),x)) -> plus{AC,#}(x7,T(x))
    plus{AC,#}(x8,plusAC(T(plusAC(x,y)),x)) -> plus{AC,#}(x8,T(plusAC(x,y)))
   Equations:
    plusAC(plusAC(x2,x3),x4) -> plusAC(x2,plusAC(x3,x4))
    plusAC(x2,x3) -> plusAC(x3,x2)
    plusAC(x2,plusAC(x3,x4)) -> plusAC(plusAC(x2,x3),x4)
    plusAC(x3,x2) -> plusAC(x2,x3)
   TRS:
    plusAC(x,0()) -> x
    plusAC(x,x) -> x
    plusAC(T(x),x) -> T(x)
    plusAC(T(plusAC(x,y)),x) -> T(plusAC(x,y))
    L(T(x)) -> L(x)
    L(plusAC(T(y),x)) -> plusAC(L(plusAC(x,y)),L(y))
    T(T(x)) -> T(x)
    T(plusAC(T(y),x)) -> plusAC(T(plusAC(x,y)),T(y))
   S:
    plus{AC,#}(plusAC(x9,x10),x11) -> plus{AC,#}(x9,x10)
    plus{AC,#}(x9,plusAC(x10,x11)) -> plus{AC,#}(x10,x11)
   Open