MAYBE
Time: 0.350

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,i(x)) -> 0()
  i(0()) -> 0()
  i(i(x)) -> x
  i(plusAC(x,y)) -> plusAC(i(x),i(y))
  timesAC(x,plusAC(y,z)) -> plusAC(timesAC(x,y),timesAC(x,z))
  timesAC(x,0()) -> 0()
  timesAC(x,i(y)) -> i(timesAC(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)
   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:
   i#(plusAC(x,y)) -> i#(y)
   i#(plusAC(x,y)) -> i#(x)
   i#(plusAC(x,y)) -> plus{AC,#}(i(x),i(y))
   times{AC,#}(x,plusAC(y,z)) -> times{AC,#}(x,z)
   times{AC,#}(x,plusAC(y,z)) -> times{AC,#}(x,y)
   times{AC,#}(x,plusAC(y,z)) -> plus{AC,#}(timesAC(x,y),timesAC(x,z))
   times{AC,#}(x,i(y)) -> times{AC,#}(x,y)
   times{AC,#}(x,i(y)) -> i#(timesAC(x,y))
   plus{AC,#}(x6,plusAC(x,0())) -> plus{AC,#}(x6,x)
   plus{AC,#}(x7,plusAC(x,i(x))) -> plus{AC,#}(x7,0())
   times{AC,#}(x8,timesAC(x,plusAC(y,z))) -> times{AC,#}(x,z)
   times{AC,#}(x8,timesAC(x,plusAC(y,z))) -> times{AC,#}(x,y)
   times{AC,#}(x8,timesAC(x,plusAC(y,z))) -> plus{AC,#}(timesAC(x,y),timesAC(x,z))
   times{AC,#}(x8,timesAC(x,plusAC(y,z))) -> times{AC,#}(x8,plusAC(timesAC(x,y),timesAC(x,z)))
   times{AC,#}(x9,timesAC(x,0())) -> times{AC,#}(x9,0())
   times{AC,#}(x10,timesAC(x,i(y))) -> times{AC,#}(x,y)
   times{AC,#}(x10,timesAC(x,i(y))) -> i#(timesAC(x,y))
   times{AC,#}(x10,timesAC(x,i(y))) -> times{AC,#}(x10,i(timesAC(x,y)))
  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,i(x)) -> 0()
   i(0()) -> 0()
   i(i(x)) -> x
   i(plusAC(x,y)) -> plusAC(i(x),i(y))
   timesAC(x,plusAC(y,z)) -> plusAC(timesAC(x,y),timesAC(x,z))
   timesAC(x,0()) -> 0()
   timesAC(x,i(y)) -> i(timesAC(x,y))
  S:
   plus{AC,#}(plusAC(x11,x12),x13) -> plus{AC,#}(x11,x12)
   plus{AC,#}(x11,plusAC(x12,x13)) -> plus{AC,#}(x12,x13)
   times{AC,#}(timesAC(x11,x12),x13) -> times{AC,#}(x11,x12)
   times{AC,#}(x11,timesAC(x12,x13)) -> times{AC,#}(x12,x13)
  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:
    i#(plusAC(x,y)) -> i#(y)
    i#(plusAC(x,y)) -> i#(x)
    i#(plusAC(x,y)) -> plus{AC,#}(i(x),i(y))
    times{AC,#}(x,plusAC(y,z)) -> times{AC,#}(x,z)
    times{AC,#}(x,plusAC(y,z)) -> times{AC,#}(x,y)
    times{AC,#}(x,plusAC(y,z)) -> plus{AC,#}(timesAC(x,y),timesAC(x,z))
    times{AC,#}(x,i(y)) -> times{AC,#}(x,y)
    times{AC,#}(x,i(y)) -> i#(timesAC(x,y))
    plus{AC,#}(x6,plusAC(x,0())) -> plus{AC,#}(x6,x)
    plus{AC,#}(x7,plusAC(x,i(x))) -> plus{AC,#}(x7,0())
    times{AC,#}(x8,timesAC(x,plusAC(y,z))) -> times{AC,#}(x,z)
    times{AC,#}(x8,timesAC(x,plusAC(y,z))) -> times{AC,#}(x,y)
    times{AC,#}(x8,timesAC(x,plusAC(y,z))) -> plus{AC,#}(timesAC(x,y),timesAC(x,z))
    times{AC,#}(x8,timesAC(x,plusAC(y,z))) -> times{AC,#}(x8,plusAC(timesAC(x,y),timesAC(x,z)))
    times{AC,#}(x9,timesAC(x,0())) -> times{AC,#}(x9,0())
    times{AC,#}(x10,timesAC(x,i(y))) -> times{AC,#}(x,y)
    times{AC,#}(x10,timesAC(x,i(y))) -> i#(timesAC(x,y))
    times{AC,#}(x10,timesAC(x,i(y))) -> times{AC,#}(x10,i(timesAC(x,y)))
   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,i(x)) -> 0()
    i(0()) -> 0()
    i(i(x)) -> x
    i(plusAC(x,y)) -> plusAC(i(x),i(y))
    timesAC(x,plusAC(y,z)) -> plusAC(timesAC(x,y),timesAC(x,z))
    timesAC(x,0()) -> 0()
    timesAC(x,i(y)) -> i(timesAC(x,y))
   S:
    plus{AC,#}(plusAC(x11,x12),x13) -> plus{AC,#}(x11,x12)
    plus{AC,#}(x11,plusAC(x12,x13)) -> plus{AC,#}(x12,x13)
    times{AC,#}(timesAC(x11,x12),x13) -> times{AC,#}(x11,x12)
    times{AC,#}(x11,timesAC(x12,x13)) -> times{AC,#}(x12,x13)
   Open