MAYBE

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

Proof:
 DP Processor:
  DPs:
   a#(b(x1)) -> b#(b(x1))
   a#(b(x1)) -> b#(b(b(x1)))
   a#(c(x1)) -> b#(x1)
   a#(c(x1)) -> b#(b(x1))
   a#(c(x1)) -> c#(b(b(x1)))
   b#(a(x1)) -> a#(a(x1))
   b#(a(x1)) -> a#(a(a(x1)))
   b#(c(x1)) -> c#(c(x1))
   b#(c(x1)) -> c#(c(c(x1)))
  TRS:
   a(b(x1)) -> b(b(b(x1)))
   a(c(x1)) -> c(b(b(x1)))
   b(a(x1)) -> a(a(a(x1)))
   b(c(x1)) -> c(c(c(x1)))
   a(x1) -> x1
   b(x1) -> x1
   c(x1) -> x1
  TDG Processor:
   DPs:
    a#(b(x1)) -> b#(b(x1))
    a#(b(x1)) -> b#(b(b(x1)))
    a#(c(x1)) -> b#(x1)
    a#(c(x1)) -> b#(b(x1))
    a#(c(x1)) -> c#(b(b(x1)))
    b#(a(x1)) -> a#(a(x1))
    b#(a(x1)) -> a#(a(a(x1)))
    b#(c(x1)) -> c#(c(x1))
    b#(c(x1)) -> c#(c(c(x1)))
   TRS:
    a(b(x1)) -> b(b(b(x1)))
    a(c(x1)) -> c(b(b(x1)))
    b(a(x1)) -> a(a(a(x1)))
    b(c(x1)) -> c(c(c(x1)))
    a(x1) -> x1
    b(x1) -> x1
    c(x1) -> x1
   graph:
    b#(a(x1)) -> a#(a(a(x1))) -> a#(c(x1)) -> c#(b(b(x1)))
    b#(a(x1)) -> a#(a(a(x1))) -> a#(c(x1)) -> b#(b(x1))
    b#(a(x1)) -> a#(a(a(x1))) -> a#(c(x1)) -> b#(x1)
    b#(a(x1)) -> a#(a(a(x1))) -> a#(b(x1)) -> b#(b(b(x1)))
    b#(a(x1)) -> a#(a(a(x1))) -> a#(b(x1)) -> b#(b(x1))
    b#(a(x1)) -> a#(a(x1)) -> a#(c(x1)) -> c#(b(b(x1)))
    b#(a(x1)) -> a#(a(x1)) -> a#(c(x1)) -> b#(b(x1))
    b#(a(x1)) -> a#(a(x1)) -> a#(c(x1)) -> b#(x1)
    b#(a(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(b(b(x1)))
    b#(a(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(b(x1))
    a#(c(x1)) -> b#(b(x1)) -> b#(c(x1)) -> c#(c(c(x1)))
    a#(c(x1)) -> b#(b(x1)) -> b#(c(x1)) -> c#(c(x1))
    a#(c(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(a(a(x1)))
    a#(c(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(a(x1))
    a#(c(x1)) -> b#(x1) -> b#(c(x1)) -> c#(c(c(x1)))
    a#(c(x1)) -> b#(x1) -> b#(c(x1)) -> c#(c(x1))
    a#(c(x1)) -> b#(x1) -> b#(a(x1)) -> a#(a(a(x1)))
    a#(c(x1)) -> b#(x1) -> b#(a(x1)) -> a#(a(x1))
    a#(b(x1)) -> b#(b(b(x1))) -> b#(c(x1)) -> c#(c(c(x1)))
    a#(b(x1)) -> b#(b(b(x1))) -> b#(c(x1)) -> c#(c(x1))
    a#(b(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> a#(a(a(x1)))
    a#(b(x1)) -> b#(b(b(x1))) -> b#(a(x1)) -> a#(a(x1))
    a#(b(x1)) -> b#(b(x1)) -> b#(c(x1)) -> c#(c(c(x1)))
    a#(b(x1)) -> b#(b(x1)) -> b#(c(x1)) -> c#(c(x1))
    a#(b(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(a(a(x1)))
    a#(b(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(a(x1))
   SCC Processor:
    #sccs: 1
    #rules: 6
    #arcs: 26/81
    DPs:
     b#(a(x1)) -> a#(a(a(x1)))
     a#(b(x1)) -> b#(b(x1))
     b#(a(x1)) -> a#(a(x1))
     a#(b(x1)) -> b#(b(b(x1)))
     a#(c(x1)) -> b#(x1)
     a#(c(x1)) -> b#(b(x1))
    TRS:
     a(b(x1)) -> b(b(b(x1)))
     a(c(x1)) -> c(b(b(x1)))
     b(a(x1)) -> a(a(a(x1)))
     b(c(x1)) -> c(c(c(x1)))
     a(x1) -> x1
     b(x1) -> x1
     c(x1) -> x1
    Open