MAYBE
Time: 0.280

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

Proof:
 DP Processor:
  Equations#:
   times{AC,#}(timesAC(x2,x3),x4) -> times{AC,#}(x2,timesAC(x3,x4))
   times{AC,#}(x2,x3) -> times{AC,#}(x3,x2)
   plus{AC,#}(plusAC(x2,x3),x4) -> plus{AC,#}(x2,plusAC(x3,x4))
   plus{AC,#}(x2,x3) -> plus{AC,#}(x3,x2)
   times{AC,#}(x2,timesAC(x3,x4)) -> times{AC,#}(timesAC(x2,x3),x4)
   times{AC,#}(x3,x2) -> times{AC,#}(x2,x3)
   plus{AC,#}(x2,plusAC(x3,x4)) -> plus{AC,#}(plusAC(x2,x3),x4)
   plus{AC,#}(x3,x2) -> plus{AC,#}(x2,x3)
  DPs:
   times{AC,#}(x,s(y)) -> times{AC,#}(x,y)
   times{AC,#}(x,s(y)) -> plus{AC,#}(timesAC(x,y),x)
   plus{AC,#}(x,s(y)) -> plus{AC,#}(x,y)
   plus{AC,#}(s(x),y) -> plus{AC,#}(x,y)
   times{AC,#}(x5,timesAC(x,0())) -> times{AC,#}(x5,0())
   times{AC,#}(x6,timesAC(x,s(y))) -> times{AC,#}(x,y)
   times{AC,#}(x6,timesAC(x,s(y))) -> plus{AC,#}(timesAC(x,y),x)
   times{AC,#}(x6,timesAC(x,s(y))) -> times{AC,#}(x6,plusAC(timesAC(x,y),x))
   plus{AC,#}(x7,plusAC(x,0())) -> plus{AC,#}(x7,x)
   plus{AC,#}(x8,plusAC(0(),x)) -> plus{AC,#}(x8,x)
   plus{AC,#}(x9,plusAC(x,s(y))) -> plus{AC,#}(x,y)
   plus{AC,#}(x9,plusAC(x,s(y))) -> plus{AC,#}(x9,s(plusAC(x,y)))
   plus{AC,#}(x10,plusAC(s(x),y)) -> plus{AC,#}(x,y)
   plus{AC,#}(x10,plusAC(s(x),y)) -> plus{AC,#}(x10,s(plusAC(x,y)))
  Equations:
   timesAC(timesAC(x2,x3),x4) -> timesAC(x2,timesAC(x3,x4))
   timesAC(x2,x3) -> timesAC(x3,x2)
   plusAC(plusAC(x2,x3),x4) -> plusAC(x2,plusAC(x3,x4))
   plusAC(x2,x3) -> plusAC(x3,x2)
   timesAC(x2,timesAC(x3,x4)) -> timesAC(timesAC(x2,x3),x4)
   timesAC(x3,x2) -> timesAC(x2,x3)
   plusAC(x2,plusAC(x3,x4)) -> plusAC(plusAC(x2,x3),x4)
   plusAC(x3,x2) -> plusAC(x2,x3)
  TRS:
   timesAC(x,0()) -> 0()
   timesAC(x,s(y)) -> plusAC(timesAC(x,y),x)
   plusAC(x,0()) -> x
   plusAC(0(),x) -> x
   plusAC(x,s(y)) -> s(plusAC(x,y))
   plusAC(s(x),y) -> s(plusAC(x,y))
  S:
   times{AC,#}(timesAC(x11,x12),x13) -> times{AC,#}(x11,x12)
   times{AC,#}(x11,timesAC(x12,x13)) -> times{AC,#}(x12,x13)
   plus{AC,#}(plusAC(x11,x12),x13) -> plus{AC,#}(x11,x12)
   plus{AC,#}(x11,plusAC(x12,x13)) -> plus{AC,#}(x12,x13)
  AC-EDG Processor:
   Equations#:
    times{AC,#}(timesAC(x2,x3),x4) -> times{AC,#}(x2,timesAC(x3,x4))
    times{AC,#}(x2,x3) -> times{AC,#}(x3,x2)
    plus{AC,#}(plusAC(x2,x3),x4) -> plus{AC,#}(x2,plusAC(x3,x4))
    plus{AC,#}(x2,x3) -> plus{AC,#}(x3,x2)
    times{AC,#}(x2,timesAC(x3,x4)) -> times{AC,#}(timesAC(x2,x3),x4)
    times{AC,#}(x3,x2) -> times{AC,#}(x2,x3)
    plus{AC,#}(x2,plusAC(x3,x4)) -> plus{AC,#}(plusAC(x2,x3),x4)
    plus{AC,#}(x3,x2) -> plus{AC,#}(x2,x3)
   DPs:
    times{AC,#}(x,s(y)) -> times{AC,#}(x,y)
    times{AC,#}(x,s(y)) -> plus{AC,#}(timesAC(x,y),x)
    plus{AC,#}(x,s(y)) -> plus{AC,#}(x,y)
    plus{AC,#}(s(x),y) -> plus{AC,#}(x,y)
    times{AC,#}(x5,timesAC(x,0())) -> times{AC,#}(x5,0())
    times{AC,#}(x6,timesAC(x,s(y))) -> times{AC,#}(x,y)
    times{AC,#}(x6,timesAC(x,s(y))) -> plus{AC,#}(timesAC(x,y),x)
    times{AC,#}(x6,timesAC(x,s(y))) -> times{AC,#}(x6,plusAC(timesAC(x,y),x))
    plus{AC,#}(x7,plusAC(x,0())) -> plus{AC,#}(x7,x)
    plus{AC,#}(x8,plusAC(0(),x)) -> plus{AC,#}(x8,x)
    plus{AC,#}(x9,plusAC(x,s(y))) -> plus{AC,#}(x,y)
    plus{AC,#}(x9,plusAC(x,s(y))) -> plus{AC,#}(x9,s(plusAC(x,y)))
    plus{AC,#}(x10,plusAC(s(x),y)) -> plus{AC,#}(x,y)
    plus{AC,#}(x10,plusAC(s(x),y)) -> plus{AC,#}(x10,s(plusAC(x,y)))
   Equations:
    timesAC(timesAC(x2,x3),x4) -> timesAC(x2,timesAC(x3,x4))
    timesAC(x2,x3) -> timesAC(x3,x2)
    plusAC(plusAC(x2,x3),x4) -> plusAC(x2,plusAC(x3,x4))
    plusAC(x2,x3) -> plusAC(x3,x2)
    timesAC(x2,timesAC(x3,x4)) -> timesAC(timesAC(x2,x3),x4)
    timesAC(x3,x2) -> timesAC(x2,x3)
    plusAC(x2,plusAC(x3,x4)) -> plusAC(plusAC(x2,x3),x4)
    plusAC(x3,x2) -> plusAC(x2,x3)
   TRS:
    timesAC(x,0()) -> 0()
    timesAC(x,s(y)) -> plusAC(timesAC(x,y),x)
    plusAC(x,0()) -> x
    plusAC(0(),x) -> x
    plusAC(x,s(y)) -> s(plusAC(x,y))
    plusAC(s(x),y) -> s(plusAC(x,y))
   S:
    times{AC,#}(timesAC(x11,x12),x13) -> times{AC,#}(x11,x12)
    times{AC,#}(x11,timesAC(x12,x13)) -> times{AC,#}(x12,x13)
    plus{AC,#}(plusAC(x11,x12),x13) -> plus{AC,#}(x11,x12)
    plus{AC,#}(x11,plusAC(x12,x13)) -> plus{AC,#}(x12,x13)
   Open