MAYBE

Problem:
 a(a(a(x1))) -> a(c(a(a(x1))))
 c(c(c(x1))) -> a(x1)
 a(x1) -> x1

Proof:
 DP Processor:
  DPs:
   a#(a(a(x1))) -> c#(a(a(x1)))
   a#(a(a(x1))) -> a#(c(a(a(x1))))
   c#(c(c(x1))) -> a#(x1)
  TRS:
   a(a(a(x1))) -> a(c(a(a(x1))))
   c(c(c(x1))) -> a(x1)
   a(x1) -> x1
  TDG Processor:
   DPs:
    a#(a(a(x1))) -> c#(a(a(x1)))
    a#(a(a(x1))) -> a#(c(a(a(x1))))
    c#(c(c(x1))) -> a#(x1)
   TRS:
    a(a(a(x1))) -> a(c(a(a(x1))))
    c(c(c(x1))) -> a(x1)
    a(x1) -> x1
   graph:
    c#(c(c(x1))) -> a#(x1) -> a#(a(a(x1))) -> a#(c(a(a(x1))))
    c#(c(c(x1))) -> a#(x1) -> a#(a(a(x1))) -> c#(a(a(x1)))
    a#(a(a(x1))) -> c#(a(a(x1))) -> c#(c(c(x1))) -> a#(x1)
    a#(a(a(x1))) -> a#(c(a(a(x1)))) ->
    a#(a(a(x1))) -> a#(c(a(a(x1))))
    a#(a(a(x1))) -> a#(c(a(a(x1)))) -> a#(a(a(x1))) -> c#(a(a(x1)))
   Open