MAYBE

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

Proof:
 DP Processor:
  DPs:
   a#(x1) -> c#(x1)
   a#(x1) -> b#(c(x1))
   c#(c(x1)) -> b#(x1)
   c#(c(x1)) -> a#(b(x1))
   c#(c(x1)) -> a#(a(b(x1)))
   c#(c(x1)) -> a#(a(a(b(x1))))
  TRS:
   a(x1) -> b(c(x1))
   b(a(b(x1))) -> x1
   c(c(x1)) -> a(a(a(b(x1))))
  TDG Processor:
   DPs:
    a#(x1) -> c#(x1)
    a#(x1) -> b#(c(x1))
    c#(c(x1)) -> b#(x1)
    c#(c(x1)) -> a#(b(x1))
    c#(c(x1)) -> a#(a(b(x1)))
    c#(c(x1)) -> a#(a(a(b(x1))))
   TRS:
    a(x1) -> b(c(x1))
    b(a(b(x1))) -> x1
    c(c(x1)) -> a(a(a(b(x1))))
   graph:
    c#(c(x1)) -> a#(b(x1)) -> a#(x1) -> b#(c(x1))
    c#(c(x1)) -> a#(b(x1)) -> a#(x1) -> c#(x1)
    c#(c(x1)) -> a#(a(b(x1))) -> a#(x1) -> b#(c(x1))
    c#(c(x1)) -> a#(a(b(x1))) -> a#(x1) -> c#(x1)
    c#(c(x1)) -> a#(a(a(b(x1)))) -> a#(x1) -> b#(c(x1))
    c#(c(x1)) -> a#(a(a(b(x1)))) -> a#(x1) -> c#(x1)
    a#(x1) -> c#(x1) -> c#(c(x1)) -> a#(a(a(b(x1))))
    a#(x1) -> c#(x1) -> c#(c(x1)) -> a#(a(b(x1)))
    a#(x1) -> c#(x1) -> c#(c(x1)) -> a#(b(x1))
    a#(x1) -> c#(x1) -> c#(c(x1)) -> b#(x1)
   SCC Processor:
    #sccs: 1
    #rules: 4
    #arcs: 10/36
    DPs:
     c#(c(x1)) -> a#(b(x1))
     a#(x1) -> c#(x1)
     c#(c(x1)) -> a#(a(b(x1)))
     c#(c(x1)) -> a#(a(a(b(x1))))
    TRS:
     a(x1) -> b(c(x1))
     b(a(b(x1))) -> x1
     c(c(x1)) -> a(a(a(b(x1))))
    Open