MAYBE

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

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