MAYBE
Time: 0.881

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

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