YES
Time: 0.011

Problem:
 Equations:
  andAC(andAC(x3,x4),x5) -> andAC(x3,andAC(x4,x5))
  andAC(x3,x4) -> andAC(x4,x3)
  orAC(orAC(x3,x4),x5) -> orAC(x3,orAC(x4,x5))
  orAC(x3,x4) -> orAC(x4,x3)
  andAC(x3,andAC(x4,x5)) -> andAC(andAC(x3,x4),x5)
  andAC(x4,x3) -> andAC(x3,x4)
  orAC(x3,orAC(x4,x5)) -> orAC(orAC(x3,x4),x5)
  orAC(x4,x3) -> orAC(x3,x4)
 TRS:
  andAC(x,0()) -> 0()
  andAC(x,1()) -> x
  andAC(x,x) -> x
  orAC(x,0()) -> x
  orAC(x,1()) -> 1()
  orAC(x,x) -> x

Proof:
 AC-RPO Processor:
  precedence:
   1 > 0 > orAC > andAC
  status:
   
  problem:
   Equations:
    andAC(andAC(x3,x4),x5) -> andAC(x3,andAC(x4,x5))
    andAC(x3,x4) -> andAC(x4,x3)
    orAC(orAC(x3,x4),x5) -> orAC(x3,orAC(x4,x5))
    orAC(x3,x4) -> orAC(x4,x3)
    andAC(x3,andAC(x4,x5)) -> andAC(andAC(x3,x4),x5)
    andAC(x4,x3) -> andAC(x3,x4)
    orAC(x3,orAC(x4,x5)) -> orAC(orAC(x3,x4),x5)
    orAC(x4,x3) -> orAC(x3,x4)
   TRS:
    
  Qed