MAYBE

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

Proof:
 DP Processor:
  DPs:
   a#(x1) -> c#(x1)
   a#(c(b(x1))) -> a#(x1)
   a#(c(b(x1))) -> a#(a(x1))
   a#(c(b(x1))) -> c#(a(a(x1)))
  TRS:
   a(x1) -> x1
   a(x1) -> b(b(c(x1)))
   a(c(b(x1))) -> c(a(a(x1)))
   c(x1) -> x1
  TDG Processor:
   DPs:
    a#(x1) -> c#(x1)
    a#(c(b(x1))) -> a#(x1)
    a#(c(b(x1))) -> a#(a(x1))
    a#(c(b(x1))) -> c#(a(a(x1)))
   TRS:
    a(x1) -> x1
    a(x1) -> b(b(c(x1)))
    a(c(b(x1))) -> c(a(a(x1)))
    c(x1) -> x1
   graph:
    a#(c(b(x1))) -> a#(a(x1)) -> a#(c(b(x1))) -> c#(a(a(x1)))
    a#(c(b(x1))) -> a#(a(x1)) -> a#(c(b(x1))) -> a#(a(x1))
    a#(c(b(x1))) -> a#(a(x1)) -> a#(c(b(x1))) -> a#(x1)
    a#(c(b(x1))) -> a#(a(x1)) -> a#(x1) -> c#(x1)
    a#(c(b(x1))) -> a#(x1) -> a#(c(b(x1))) -> c#(a(a(x1)))
    a#(c(b(x1))) -> a#(x1) -> a#(c(b(x1))) -> a#(a(x1))
    a#(c(b(x1))) -> a#(x1) -> a#(c(b(x1))) -> a#(x1)
    a#(c(b(x1))) -> a#(x1) -> a#(x1) -> c#(x1)
   SCC Processor:
    #sccs: 1
    #rules: 2
    #arcs: 8/16
    DPs:
     a#(c(b(x1))) -> a#(a(x1))
     a#(c(b(x1))) -> a#(x1)
    TRS:
     a(x1) -> x1
     a(x1) -> b(b(c(x1)))
     a(c(b(x1))) -> c(a(a(x1)))
     c(x1) -> x1
    Open