MAYBE
Time: 0.553

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

Proof:
 DP Processor:
  Equations#:
   plus{AC,#}(plusAC(x3,x4),x5) -> plus{AC,#}(x3,plusAC(x4,x5))
   plus{AC,#}(x3,x4) -> plus{AC,#}(x4,x3)
   times{AC,#}(timesAC(x3,x4),x5) -> times{AC,#}(x3,timesAC(x4,x5))
   times{AC,#}(x3,x4) -> times{AC,#}(x4,x3)
   plus{AC,#}(x3,plusAC(x4,x5)) -> plus{AC,#}(plusAC(x3,x4),x5)
   plus{AC,#}(x4,x3) -> plus{AC,#}(x3,x4)
   times{AC,#}(x3,timesAC(x4,x5)) -> times{AC,#}(timesAC(x3,x4),x5)
   times{AC,#}(x4,x3) -> times{AC,#}(x3,x4)
  DPs:
   plus{AC,#}(x,s(y)) -> plus{AC,#}(x,y)
   plus{AC,#}(x,plusAC(s(y),z)) -> plus{AC,#}(x,y)
   plus{AC,#}(x,plusAC(s(y),z)) -> plus{AC,#}(s(plusAC(x,y)),z)
   times{AC,#}(x,s(y)) -> times{AC,#}(x,y)
   times{AC,#}(x,s(y)) -> plus{AC,#}(timesAC(x,y),x)
   times{AC,#}(x,timesAC(s(y),z)) -> times{AC,#}(x,y)
   times{AC,#}(x,timesAC(s(y),z)) -> plus{AC,#}(timesAC(x,y),x)
   times{AC,#}(x,timesAC(s(y),z)) -> times{AC,#}(plusAC(timesAC(x,y),x),z)
   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))) -> plus{AC,#}(x7,s(plusAC(x,y)))
   plus{AC,#}(x8,plusAC(x,plusAC(s(y),z))) -> plus{AC,#}(x,y)
   plus{AC,#}(x8,plusAC(x,plusAC(s(y),z))) -> plus{AC,#}(s(plusAC(x,y)),z)
   plus{AC,#}(x8,plusAC(x,plusAC(s(y),z))) -> plus{AC,#}(x8,plusAC(s(plusAC(x,y)),z))
   times{AC,#}(x9,timesAC(x,0())) -> times{AC,#}(x9,0())
   times{AC,#}(x10,timesAC(x,timesAC(0(),z))) -> times{AC,#}(x10,timesAC(0(),z))
   times{AC,#}(x11,timesAC(x,s(y))) -> times{AC,#}(x,y)
   times{AC,#}(x11,timesAC(x,s(y))) -> plus{AC,#}(timesAC(x,y),x)
   times{AC,#}(x11,timesAC(x,s(y))) -> times{AC,#}(x11,plusAC(timesAC(x,y),x))
   times{AC,#}(x12,timesAC(x,timesAC(s(y),z))) -> times{AC,#}(x,y)
   times{AC,#}(x12,timesAC(x,timesAC(s(y),z))) -> plus{AC,#}(timesAC(x,y),x)
   times{AC,#}(x12,timesAC(x,timesAC(s(y),z))) -> times{AC,#}(plusAC(timesAC(x,y),x),z)
   times{AC,#}(x12,timesAC(x,timesAC(s(y),z))) ->
   times{AC,#}(x12,timesAC(plusAC(timesAC(x,y),x),z))
  Equations:
   plusAC(plusAC(x3,x4),x5) -> plusAC(x3,plusAC(x4,x5))
   plusAC(x3,x4) -> plusAC(x4,x3)
   timesAC(timesAC(x3,x4),x5) -> timesAC(x3,timesAC(x4,x5))
   timesAC(x3,x4) -> timesAC(x4,x3)
   plusAC(x3,plusAC(x4,x5)) -> plusAC(plusAC(x3,x4),x5)
   plusAC(x4,x3) -> plusAC(x3,x4)
   timesAC(x3,timesAC(x4,x5)) -> timesAC(timesAC(x3,x4),x5)
   timesAC(x4,x3) -> timesAC(x3,x4)
  TRS:
   plusAC(x,0()) -> x
   plusAC(x,s(y)) -> s(plusAC(x,y))
   plusAC(x,plusAC(s(y),z)) -> plusAC(s(plusAC(x,y)),z)
   timesAC(x,0()) -> 0()
   timesAC(x,timesAC(0(),z)) -> timesAC(0(),z)
   timesAC(x,s(y)) -> plusAC(timesAC(x,y),x)
   timesAC(x,timesAC(s(y),z)) -> timesAC(plusAC(timesAC(x,y),x),z)
  S:
   plus{AC,#}(plusAC(x13,x14),x15) -> plus{AC,#}(x13,x14)
   plus{AC,#}(x13,plusAC(x14,x15)) -> plus{AC,#}(x14,x15)
   times{AC,#}(timesAC(x13,x14),x15) -> times{AC,#}(x13,x14)
   times{AC,#}(x13,timesAC(x14,x15)) -> times{AC,#}(x14,x15)
  AC-EDG Processor:
   Equations#:
    plus{AC,#}(plusAC(x3,x4),x5) -> plus{AC,#}(x3,plusAC(x4,x5))
    plus{AC,#}(x3,x4) -> plus{AC,#}(x4,x3)
    times{AC,#}(timesAC(x3,x4),x5) -> times{AC,#}(x3,timesAC(x4,x5))
    times{AC,#}(x3,x4) -> times{AC,#}(x4,x3)
    plus{AC,#}(x3,plusAC(x4,x5)) -> plus{AC,#}(plusAC(x3,x4),x5)
    plus{AC,#}(x4,x3) -> plus{AC,#}(x3,x4)
    times{AC,#}(x3,timesAC(x4,x5)) -> times{AC,#}(timesAC(x3,x4),x5)
    times{AC,#}(x4,x3) -> times{AC,#}(x3,x4)
   DPs:
    plus{AC,#}(x,s(y)) -> plus{AC,#}(x,y)
    plus{AC,#}(x,plusAC(s(y),z)) -> plus{AC,#}(x,y)
    plus{AC,#}(x,plusAC(s(y),z)) -> plus{AC,#}(s(plusAC(x,y)),z)
    times{AC,#}(x,s(y)) -> times{AC,#}(x,y)
    times{AC,#}(x,s(y)) -> plus{AC,#}(timesAC(x,y),x)
    times{AC,#}(x,timesAC(s(y),z)) -> times{AC,#}(x,y)
    times{AC,#}(x,timesAC(s(y),z)) -> plus{AC,#}(timesAC(x,y),x)
    times{AC,#}(x,timesAC(s(y),z)) -> times{AC,#}(plusAC(timesAC(x,y),x),z)
    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))) -> plus{AC,#}(x7,s(plusAC(x,y)))
    plus{AC,#}(x8,plusAC(x,plusAC(s(y),z))) -> plus{AC,#}(x,y)
    plus{AC,#}(x8,plusAC(x,plusAC(s(y),z))) -> plus{AC,#}(s(plusAC(x,y)),z)
    plus{AC,#}(x8,plusAC(x,plusAC(s(y),z))) -> plus{AC,#}(x8,plusAC(s(plusAC(x,y)),z))
    times{AC,#}(x9,timesAC(x,0())) -> times{AC,#}(x9,0())
    times{AC,#}(x10,timesAC(x,timesAC(0(),z))) -> times{AC,#}(x10,timesAC(0(),z))
    times{AC,#}(x11,timesAC(x,s(y))) -> times{AC,#}(x,y)
    times{AC,#}(x11,timesAC(x,s(y))) -> plus{AC,#}(timesAC(x,y),x)
    times{AC,#}(x11,timesAC(x,s(y))) -> times{AC,#}(x11,plusAC(timesAC(x,y),x))
    times{AC,#}(x12,timesAC(x,timesAC(s(y),z))) -> times{AC,#}(x,y)
    times{AC,#}(x12,timesAC(x,timesAC(s(y),z))) -> plus{AC,#}(timesAC(x,y),x)
    times{AC,#}(x12,timesAC(x,timesAC(s(y),z))) -> times{AC,#}(plusAC(timesAC(x,y),x),z)
    times{AC,#}(x12,timesAC(x,timesAC(s(y),z))) ->
    times{AC,#}(x12,timesAC(plusAC(timesAC(x,y),x),z))
   Equations:
    plusAC(plusAC(x3,x4),x5) -> plusAC(x3,plusAC(x4,x5))
    plusAC(x3,x4) -> plusAC(x4,x3)
    timesAC(timesAC(x3,x4),x5) -> timesAC(x3,timesAC(x4,x5))
    timesAC(x3,x4) -> timesAC(x4,x3)
    plusAC(x3,plusAC(x4,x5)) -> plusAC(plusAC(x3,x4),x5)
    plusAC(x4,x3) -> plusAC(x3,x4)
    timesAC(x3,timesAC(x4,x5)) -> timesAC(timesAC(x3,x4),x5)
    timesAC(x4,x3) -> timesAC(x3,x4)
   TRS:
    plusAC(x,0()) -> x
    plusAC(x,s(y)) -> s(plusAC(x,y))
    plusAC(x,plusAC(s(y),z)) -> plusAC(s(plusAC(x,y)),z)
    timesAC(x,0()) -> 0()
    timesAC(x,timesAC(0(),z)) -> timesAC(0(),z)
    timesAC(x,s(y)) -> plusAC(timesAC(x,y),x)
    timesAC(x,timesAC(s(y),z)) -> timesAC(plusAC(timesAC(x,y),x),z)
   S:
    plus{AC,#}(plusAC(x13,x14),x15) -> plus{AC,#}(x13,x14)
    plus{AC,#}(x13,plusAC(x14,x15)) -> plus{AC,#}(x14,x15)
    times{AC,#}(timesAC(x13,x14),x15) -> times{AC,#}(x13,x14)
    times{AC,#}(x13,timesAC(x14,x15)) -> times{AC,#}(x14,x15)
   Open