MAYBE

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

Proof:
 DP Processor:
  DPs:
   a#(x1) -> b#(x1)
   b#(b(c(x1))) -> a#(x1)
   b#(b(c(x1))) -> a#(a(x1))
   b#(b(c(x1))) -> a#(a(a(x1)))
   b#(b(c(x1))) -> c#(a(a(a(x1))))
   b#(b(c(x1))) -> c#(c(a(a(a(x1)))))
  TRS:
   a(x1) -> x1
   a(x1) -> b(x1)
   b(b(c(x1))) -> c(c(a(a(a(x1)))))
   c(x1) -> x1
  TDG Processor:
   DPs:
    a#(x1) -> b#(x1)
    b#(b(c(x1))) -> a#(x1)
    b#(b(c(x1))) -> a#(a(x1))
    b#(b(c(x1))) -> a#(a(a(x1)))
    b#(b(c(x1))) -> c#(a(a(a(x1))))
    b#(b(c(x1))) -> c#(c(a(a(a(x1)))))
   TRS:
    a(x1) -> x1
    a(x1) -> b(x1)
    b(b(c(x1))) -> c(c(a(a(a(x1)))))
    c(x1) -> x1
   graph:
    b#(b(c(x1))) -> a#(a(a(x1))) -> a#(x1) -> b#(x1)
    b#(b(c(x1))) -> a#(a(x1)) -> a#(x1) -> b#(x1)
    b#(b(c(x1))) -> a#(x1) -> a#(x1) -> b#(x1)
    a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(c(a(a(a(x1)))))
    a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(a(a(a(x1))))
    a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(a(a(x1)))
    a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(a(x1))
    a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(x1)
   SCC Processor:
    #sccs: 1
    #rules: 4
    #arcs: 8/36
    DPs:
     b#(b(c(x1))) -> a#(a(a(x1)))
     a#(x1) -> b#(x1)
     b#(b(c(x1))) -> a#(x1)
     b#(b(c(x1))) -> a#(a(x1))
    TRS:
     a(x1) -> x1
     a(x1) -> b(x1)
     b(b(c(x1))) -> c(c(a(a(a(x1)))))
     c(x1) -> x1
    Open