MAYBE
Time: 0.209

Problem:
 Equations:
  plusAC(plusAC(x3,x4),x5) -> plusAC(x3,plusAC(x4,x5))
  plusAC(x3,x4) -> plusAC(x4,x3)
  plusAC(x3,plusAC(x4,x5)) -> plusAC(plusAC(x3,x4),x5)
  plusAC(x4,x3) -> plusAC(x3,x4)
 TRS:
  s(p(x)) -> x
  p(s(x)) -> x
  minus(x,0()) -> x
  minus(x,s(y)) -> p(minus(x,y))
  minus(x,p(y)) -> s(minus(x,y))
  plusAC(x,0()) -> x
  plusAC(x,s(y)) -> s(plusAC(x,y))
  plusAC(x,p(y)) -> p(plusAC(x,y))

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