MAYBE
Time: 0.300

Problem:
 Equations:
  timesAC(timesAC(x3,x4),x5) -> timesAC(x3,timesAC(x4,x5))
  timesAC(x3,x4) -> timesAC(x4,x3)
  plusAC(plusAC(x3,x4),x5) -> plusAC(x3,plusAC(x4,x5))
  plusAC(x3,x4) -> plusAC(x4,x3)
  timesAC(x3,timesAC(x4,x5)) -> timesAC(timesAC(x3,x4),x5)
  timesAC(x4,x3) -> timesAC(x3,x4)
  plusAC(x3,plusAC(x4,x5)) -> plusAC(plusAC(x3,x4),x5)
  plusAC(x4,x3) -> plusAC(x3,x4)
 TRS:
  timesAC(plusAC(x,y),z) -> plusAC(timesAC(x,z),timesAC(y,z))
  timesAC(z,plusAC(x,f(y))) -> timesAC(g(z,y),plusAC(x,a()))

Proof:
 DP Processor:
  Equations#:
   times{AC,#}(timesAC(x3,x4),x5) -> times{AC,#}(x3,timesAC(x4,x5))
   times{AC,#}(x3,x4) -> times{AC,#}(x4,x3)
   plus{AC,#}(plusAC(x3,x4),x5) -> plus{AC,#}(x3,plusAC(x4,x5))
   plus{AC,#}(x3,x4) -> plus{AC,#}(x4,x3)
   times{AC,#}(x3,timesAC(x4,x5)) -> times{AC,#}(timesAC(x3,x4),x5)
   times{AC,#}(x4,x3) -> times{AC,#}(x3,x4)
   plus{AC,#}(x3,plusAC(x4,x5)) -> plus{AC,#}(plusAC(x3,x4),x5)
   plus{AC,#}(x4,x3) -> plus{AC,#}(x3,x4)
  DPs:
   times{AC,#}(plusAC(x,y),z) -> times{AC,#}(y,z)
   times{AC,#}(plusAC(x,y),z) -> times{AC,#}(x,z)
   times{AC,#}(z,plusAC(x,f(y))) -> times{AC,#}(g(z,y),plusAC(x,a()))
   times{AC,#}(x6,timesAC(plusAC(x,y),z)) -> times{AC,#}(y,z)
   times{AC,#}(x6,timesAC(plusAC(x,y),z)) -> times{AC,#}(x,z)
   times{AC,#}(x6,timesAC(plusAC(x,y),z)) -> times{AC,#}(x6,plusAC(timesAC(x,z),timesAC(y,z)))
   times{AC,#}(x7,timesAC(z,plusAC(x,f(y)))) -> times{AC,#}(g(z,y),plusAC(x,a()))
   times{AC,#}(x7,timesAC(z,plusAC(x,f(y)))) -> times{AC,#}(x7,timesAC(g(z,y),plusAC(x,a())))
  Equations:
   timesAC(timesAC(x3,x4),x5) -> timesAC(x3,timesAC(x4,x5))
   timesAC(x3,x4) -> timesAC(x4,x3)
   plusAC(plusAC(x3,x4),x5) -> plusAC(x3,plusAC(x4,x5))
   plusAC(x3,x4) -> plusAC(x4,x3)
   timesAC(x3,timesAC(x4,x5)) -> timesAC(timesAC(x3,x4),x5)
   timesAC(x4,x3) -> timesAC(x3,x4)
   plusAC(x3,plusAC(x4,x5)) -> plusAC(plusAC(x3,x4),x5)
   plusAC(x4,x3) -> plusAC(x3,x4)
  TRS:
   timesAC(plusAC(x,y),z) -> plusAC(timesAC(x,z),timesAC(y,z))
   timesAC(z,plusAC(x,f(y))) -> timesAC(g(z,y),plusAC(x,a()))
  S:
   times{AC,#}(timesAC(x8,x9),x10) -> times{AC,#}(x8,x9)
   times{AC,#}(x8,timesAC(x9,x10)) -> times{AC,#}(x9,x10)
   plus{AC,#}(plusAC(x8,x9),x10) -> plus{AC,#}(x8,x9)
   plus{AC,#}(x8,plusAC(x9,x10)) -> plus{AC,#}(x9,x10)
  AC-EDG Processor:
   Equations#:
    times{AC,#}(timesAC(x3,x4),x5) -> times{AC,#}(x3,timesAC(x4,x5))
    times{AC,#}(x3,x4) -> times{AC,#}(x4,x3)
    plus{AC,#}(plusAC(x3,x4),x5) -> plus{AC,#}(x3,plusAC(x4,x5))
    plus{AC,#}(x3,x4) -> plus{AC,#}(x4,x3)
    times{AC,#}(x3,timesAC(x4,x5)) -> times{AC,#}(timesAC(x3,x4),x5)
    times{AC,#}(x4,x3) -> times{AC,#}(x3,x4)
    plus{AC,#}(x3,plusAC(x4,x5)) -> plus{AC,#}(plusAC(x3,x4),x5)
    plus{AC,#}(x4,x3) -> plus{AC,#}(x3,x4)
   DPs:
    times{AC,#}(plusAC(x,y),z) -> times{AC,#}(y,z)
    times{AC,#}(plusAC(x,y),z) -> times{AC,#}(x,z)
    times{AC,#}(z,plusAC(x,f(y))) -> times{AC,#}(g(z,y),plusAC(x,a()))
    times{AC,#}(x6,timesAC(plusAC(x,y),z)) -> times{AC,#}(y,z)
    times{AC,#}(x6,timesAC(plusAC(x,y),z)) -> times{AC,#}(x,z)
    times{AC,#}(x6,timesAC(plusAC(x,y),z)) -> times{AC,#}(x6,plusAC(timesAC(x,z),timesAC(y,z)))
    times{AC,#}(x7,timesAC(z,plusAC(x,f(y)))) -> times{AC,#}(g(z,y),plusAC(x,a()))
    times{AC,#}(x7,timesAC(z,plusAC(x,f(y)))) -> times{AC,#}(x7,timesAC(g(z,y),plusAC(x,a())))
   Equations:
    timesAC(timesAC(x3,x4),x5) -> timesAC(x3,timesAC(x4,x5))
    timesAC(x3,x4) -> timesAC(x4,x3)
    plusAC(plusAC(x3,x4),x5) -> plusAC(x3,plusAC(x4,x5))
    plusAC(x3,x4) -> plusAC(x4,x3)
    timesAC(x3,timesAC(x4,x5)) -> timesAC(timesAC(x3,x4),x5)
    timesAC(x4,x3) -> timesAC(x3,x4)
    plusAC(x3,plusAC(x4,x5)) -> plusAC(plusAC(x3,x4),x5)
    plusAC(x4,x3) -> plusAC(x3,x4)
   TRS:
    timesAC(plusAC(x,y),z) -> plusAC(timesAC(x,z),timesAC(y,z))
    timesAC(z,plusAC(x,f(y))) -> timesAC(g(z,y),plusAC(x,a()))
   S:
    times{AC,#}(timesAC(x8,x9),x10) -> times{AC,#}(x8,x9)
    times{AC,#}(x8,timesAC(x9,x10)) -> times{AC,#}(x9,x10)
    plus{AC,#}(plusAC(x8,x9),x10) -> plus{AC,#}(x8,x9)
    plus{AC,#}(x8,plusAC(x9,x10)) -> plus{AC,#}(x9,x10)
   Open