YES

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

Proof:
 DP Processor:
  DPs:
   a#(a(x1)) -> c#(x1)
   a#(a(x1)) -> b#(c(x1))
   c#(b(x1)) -> c#(x1)
   c#(b(x1)) -> b#(c(x1))
   c#(b(x1)) -> a#(b(c(x1)))
  TRS:
   a(x1) -> x1
   a(a(x1)) -> b(c(x1))
   b(x1) -> x1
   c(x1) -> x1
   c(b(x1)) -> a(b(c(x1)))
  TDG Processor:
   DPs:
    a#(a(x1)) -> c#(x1)
    a#(a(x1)) -> b#(c(x1))
    c#(b(x1)) -> c#(x1)
    c#(b(x1)) -> b#(c(x1))
    c#(b(x1)) -> a#(b(c(x1)))
   TRS:
    a(x1) -> x1
    a(a(x1)) -> b(c(x1))
    b(x1) -> x1
    c(x1) -> x1
    c(b(x1)) -> a(b(c(x1)))
   graph:
    c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(x1)))
    c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(x1))
    c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1)
    c#(b(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(c(x1))
    c#(b(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> c#(x1)
    a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(x1)))
    a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(x1))
    a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1)
   SCC Processor:
    #sccs: 1
    #rules: 3
    #arcs: 8/25
    DPs:
     c#(b(x1)) -> c#(x1)
     c#(b(x1)) -> a#(b(c(x1)))
     a#(a(x1)) -> c#(x1)
    TRS:
     a(x1) -> x1
     a(a(x1)) -> b(c(x1))
     b(x1) -> x1
     c(x1) -> x1
     c(b(x1)) -> a(b(c(x1)))
    Root-Labeling Processor:
     DPs:
      c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
      c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
      c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
      c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
      c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
      c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
      c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
      c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
      a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
      a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
      a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
      a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
     TRS:
      f6(a)(a(f6)(x1)) -> f6(f6)(x1)
      f6(a)(a(a)(x1)) -> f6(a)(x1)
      f6(a)(a(b)(x1)) -> f6(b)(x1)
      f6(a)(a(c)(x1)) -> f6(c)(x1)
      a(a)(a(f6)(x1)) -> a(f6)(x1)
      a(a)(a(a)(x1)) -> a(a)(x1)
      a(a)(a(b)(x1)) -> a(b)(x1)
      a(a)(a(c)(x1)) -> a(c)(x1)
      b(a)(a(f6)(x1)) -> b(f6)(x1)
      b(a)(a(a)(x1)) -> b(a)(x1)
      b(a)(a(b)(x1)) -> b(b)(x1)
      b(a)(a(c)(x1)) -> b(c)(x1)
      c(a)(a(f6)(x1)) -> c(f6)(x1)
      c(a)(a(a)(x1)) -> c(a)(x1)
      c(a)(a(b)(x1)) -> c(b)(x1)
      c(a)(a(c)(x1)) -> c(c)(x1)
      f6(a)(a(a)(a(f6)(x1))) -> f6(b)(b(c)(c(f6)(x1)))
      f6(a)(a(a)(a(a)(x1))) -> f6(b)(b(c)(c(a)(x1)))
      f6(a)(a(a)(a(b)(x1))) -> f6(b)(b(c)(c(b)(x1)))
      f6(a)(a(a)(a(c)(x1))) -> f6(b)(b(c)(c(c)(x1)))
      a(a)(a(a)(a(f6)(x1))) -> a(b)(b(c)(c(f6)(x1)))
      a(a)(a(a)(a(a)(x1))) -> a(b)(b(c)(c(a)(x1)))
      a(a)(a(a)(a(b)(x1))) -> a(b)(b(c)(c(b)(x1)))
      a(a)(a(a)(a(c)(x1))) -> a(b)(b(c)(c(c)(x1)))
      b(a)(a(a)(a(f6)(x1))) -> b(b)(b(c)(c(f6)(x1)))
      b(a)(a(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1)))
      b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1)))
      b(a)(a(a)(a(c)(x1))) -> b(b)(b(c)(c(c)(x1)))
      c(a)(a(a)(a(f6)(x1))) -> c(b)(b(c)(c(f6)(x1)))
      c(a)(a(a)(a(a)(x1))) -> c(b)(b(c)(c(a)(x1)))
      c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1)))
      c(a)(a(a)(a(c)(x1))) -> c(b)(b(c)(c(c)(x1)))
      f6(b)(b(f6)(x1)) -> f6(f6)(x1)
      f6(b)(b(a)(x1)) -> f6(a)(x1)
      f6(b)(b(b)(x1)) -> f6(b)(x1)
      f6(b)(b(c)(x1)) -> f6(c)(x1)
      a(b)(b(f6)(x1)) -> a(f6)(x1)
      a(b)(b(a)(x1)) -> a(a)(x1)
      a(b)(b(b)(x1)) -> a(b)(x1)
      a(b)(b(c)(x1)) -> a(c)(x1)
      b(b)(b(f6)(x1)) -> b(f6)(x1)
      b(b)(b(a)(x1)) -> b(a)(x1)
      b(b)(b(b)(x1)) -> b(b)(x1)
      b(b)(b(c)(x1)) -> b(c)(x1)
      c(b)(b(f6)(x1)) -> c(f6)(x1)
      c(b)(b(a)(x1)) -> c(a)(x1)
      c(b)(b(b)(x1)) -> c(b)(x1)
      c(b)(b(c)(x1)) -> c(c)(x1)
      f6(c)(c(f6)(x1)) -> f6(f6)(x1)
      f6(c)(c(a)(x1)) -> f6(a)(x1)
      f6(c)(c(b)(x1)) -> f6(b)(x1)
      f6(c)(c(c)(x1)) -> f6(c)(x1)
      a(c)(c(f6)(x1)) -> a(f6)(x1)
      a(c)(c(a)(x1)) -> a(a)(x1)
      a(c)(c(b)(x1)) -> a(b)(x1)
      a(c)(c(c)(x1)) -> a(c)(x1)
      b(c)(c(f6)(x1)) -> b(f6)(x1)
      b(c)(c(a)(x1)) -> b(a)(x1)
      b(c)(c(b)(x1)) -> b(b)(x1)
      b(c)(c(c)(x1)) -> b(c)(x1)
      c(c)(c(f6)(x1)) -> c(f6)(x1)
      c(c)(c(a)(x1)) -> c(a)(x1)
      c(c)(c(b)(x1)) -> c(b)(x1)
      c(c)(c(c)(x1)) -> c(c)(x1)
      f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(f6)(x1))))
      f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(a)(x1))))
      f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(b)(x1))))
      f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(x1))))
      a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1))))
      a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1))))
      a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1))))
      a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1))))
      b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1))))
      b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1))))
      b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1))))
      b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1))))
      c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1))))
      c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1))))
      c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1))))
      c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1))))
     TDG Processor:
      DPs:
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
      TRS:
       f6(a)(a(f6)(x1)) -> f6(f6)(x1)
       f6(a)(a(a)(x1)) -> f6(a)(x1)
       f6(a)(a(b)(x1)) -> f6(b)(x1)
       f6(a)(a(c)(x1)) -> f6(c)(x1)
       a(a)(a(f6)(x1)) -> a(f6)(x1)
       a(a)(a(a)(x1)) -> a(a)(x1)
       a(a)(a(b)(x1)) -> a(b)(x1)
       a(a)(a(c)(x1)) -> a(c)(x1)
       b(a)(a(f6)(x1)) -> b(f6)(x1)
       b(a)(a(a)(x1)) -> b(a)(x1)
       b(a)(a(b)(x1)) -> b(b)(x1)
       b(a)(a(c)(x1)) -> b(c)(x1)
       c(a)(a(f6)(x1)) -> c(f6)(x1)
       c(a)(a(a)(x1)) -> c(a)(x1)
       c(a)(a(b)(x1)) -> c(b)(x1)
       c(a)(a(c)(x1)) -> c(c)(x1)
       f6(a)(a(a)(a(f6)(x1))) -> f6(b)(b(c)(c(f6)(x1)))
       f6(a)(a(a)(a(a)(x1))) -> f6(b)(b(c)(c(a)(x1)))
       f6(a)(a(a)(a(b)(x1))) -> f6(b)(b(c)(c(b)(x1)))
       f6(a)(a(a)(a(c)(x1))) -> f6(b)(b(c)(c(c)(x1)))
       a(a)(a(a)(a(f6)(x1))) -> a(b)(b(c)(c(f6)(x1)))
       a(a)(a(a)(a(a)(x1))) -> a(b)(b(c)(c(a)(x1)))
       a(a)(a(a)(a(b)(x1))) -> a(b)(b(c)(c(b)(x1)))
       a(a)(a(a)(a(c)(x1))) -> a(b)(b(c)(c(c)(x1)))
       b(a)(a(a)(a(f6)(x1))) -> b(b)(b(c)(c(f6)(x1)))
       b(a)(a(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1)))
       b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1)))
       b(a)(a(a)(a(c)(x1))) -> b(b)(b(c)(c(c)(x1)))
       c(a)(a(a)(a(f6)(x1))) -> c(b)(b(c)(c(f6)(x1)))
       c(a)(a(a)(a(a)(x1))) -> c(b)(b(c)(c(a)(x1)))
       c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1)))
       c(a)(a(a)(a(c)(x1))) -> c(b)(b(c)(c(c)(x1)))
       f6(b)(b(f6)(x1)) -> f6(f6)(x1)
       f6(b)(b(a)(x1)) -> f6(a)(x1)
       f6(b)(b(b)(x1)) -> f6(b)(x1)
       f6(b)(b(c)(x1)) -> f6(c)(x1)
       a(b)(b(f6)(x1)) -> a(f6)(x1)
       a(b)(b(a)(x1)) -> a(a)(x1)
       a(b)(b(b)(x1)) -> a(b)(x1)
       a(b)(b(c)(x1)) -> a(c)(x1)
       b(b)(b(f6)(x1)) -> b(f6)(x1)
       b(b)(b(a)(x1)) -> b(a)(x1)
       b(b)(b(b)(x1)) -> b(b)(x1)
       b(b)(b(c)(x1)) -> b(c)(x1)
       c(b)(b(f6)(x1)) -> c(f6)(x1)
       c(b)(b(a)(x1)) -> c(a)(x1)
       c(b)(b(b)(x1)) -> c(b)(x1)
       c(b)(b(c)(x1)) -> c(c)(x1)
       f6(c)(c(f6)(x1)) -> f6(f6)(x1)
       f6(c)(c(a)(x1)) -> f6(a)(x1)
       f6(c)(c(b)(x1)) -> f6(b)(x1)
       f6(c)(c(c)(x1)) -> f6(c)(x1)
       a(c)(c(f6)(x1)) -> a(f6)(x1)
       a(c)(c(a)(x1)) -> a(a)(x1)
       a(c)(c(b)(x1)) -> a(b)(x1)
       a(c)(c(c)(x1)) -> a(c)(x1)
       b(c)(c(f6)(x1)) -> b(f6)(x1)
       b(c)(c(a)(x1)) -> b(a)(x1)
       b(c)(c(b)(x1)) -> b(b)(x1)
       b(c)(c(c)(x1)) -> b(c)(x1)
       c(c)(c(f6)(x1)) -> c(f6)(x1)
       c(c)(c(a)(x1)) -> c(a)(x1)
       c(c)(c(b)(x1)) -> c(b)(x1)
       c(c)(c(c)(x1)) -> c(c)(x1)
       f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(f6)(x1))))
       f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(a)(x1))))
       f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(b)(x1))))
       f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(x1))))
       a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1))))
       a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1))))
       a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1))))
       a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1))))
       b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1))))
       b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1))))
       b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1))))
       b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1))))
       c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1))))
       c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1))))
       c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1))))
       c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1))))
      graph:
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) ->
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) ->
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) ->
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) ->
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) ->
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) ->
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) ->
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) ->
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) ->
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) ->
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) ->
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) ->
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) ->
       a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) ->
       a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) ->
       a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) ->
       a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
      Polynomial Interpretation Processor:
       dimension: 1
       interpretation:
        [c(a)](x0) = x0,
        
        [f6(c)](x0) = x0 + 1,
        
        [f6(b)](x0) = x0 + 1,
        
        [a{#,(f6)}](x0) = x0,
        
        [a(f6)](x0) = x0 + 1,
        
        [c(b)](x0) = x0,
        
        [c(f6)](x0) = x0 + 1,
        
        [a(a)](x0) = x0,
        
        [f6(f6)](x0) = x0,
        
        [c{#,(f6)}](x0) = x0,
        
        [c(c)](x0) = x0,
        
        [b(c)](x0) = x0,
        
        [f6(a)](x0) = x0 + 1,
        
        [a(b)](x0) = x0,
        
        [a(c)](x0) = x0,
        
        [b(a)](x0) = x0,
        
        [b(f6)](x0) = x0 + 1,
        
        [b(b)](x0) = x0
       orientation:
        c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 = c{#,(f6)}(f6(f6)(x1))
        
        c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(a)(x1))
        
        c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(b)(x1))
        
        c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(x1))
        
        c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
        
        c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
        
        c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
        
        c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
        
        a{#,(f6)}(f6(a)(a(f6)(x1))) = x1 + 2 >= x1 = c{#,(f6)}(f6(f6)(x1))
        
        a{#,(f6)}(f6(a)(a(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(a)(x1))
        
        a{#,(f6)}(f6(a)(a(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(b)(x1))
        
        a{#,(f6)}(f6(a)(a(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(x1))
        
        f6(a)(a(f6)(x1)) = x1 + 2 >= x1 = f6(f6)(x1)
        
        f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1)
        
        f6(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1)
        
        f6(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1)
        
        a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1)
        
        a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1)
        
        a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1)
        
        a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1)
        
        b(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1)
        
        b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1)
        
        b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1)
        
        b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1)
        
        c(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1)
        
        c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1)
        
        c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1)
        
        c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1)
        
        f6(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 2 = f6(b)(b(c)(c(f6)(x1)))
        
        f6(a)(a(a)(a(a)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(c)(c(a)(x1)))
        
        f6(a)(a(a)(a(b)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(c)(c(b)(x1)))
        
        f6(a)(a(a)(a(c)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(c)(c(c)(x1)))
        
        a(a)(a(a)(a(f6)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(c)(c(f6)(x1)))
        
        a(a)(a(a)(a(a)(x1))) = x1 >= x1 = a(b)(b(c)(c(a)(x1)))
        
        a(a)(a(a)(a(b)(x1))) = x1 >= x1 = a(b)(b(c)(c(b)(x1)))
        
        a(a)(a(a)(a(c)(x1))) = x1 >= x1 = a(b)(b(c)(c(c)(x1)))
        
        b(a)(a(a)(a(f6)(x1))) = x1 + 1 >= x1 + 1 = b(b)(b(c)(c(f6)(x1)))
        
        b(a)(a(a)(a(a)(x1))) = x1 >= x1 = b(b)(b(c)(c(a)(x1)))
        
        b(a)(a(a)(a(b)(x1))) = x1 >= x1 = b(b)(b(c)(c(b)(x1)))
        
        b(a)(a(a)(a(c)(x1))) = x1 >= x1 = b(b)(b(c)(c(c)(x1)))
        
        c(a)(a(a)(a(f6)(x1))) = x1 + 1 >= x1 + 1 = c(b)(b(c)(c(f6)(x1)))
        
        c(a)(a(a)(a(a)(x1))) = x1 >= x1 = c(b)(b(c)(c(a)(x1)))
        
        c(a)(a(a)(a(b)(x1))) = x1 >= x1 = c(b)(b(c)(c(b)(x1)))
        
        c(a)(a(a)(a(c)(x1))) = x1 >= x1 = c(b)(b(c)(c(c)(x1)))
        
        f6(b)(b(f6)(x1)) = x1 + 2 >= x1 = f6(f6)(x1)
        
        f6(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1)
        
        f6(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1)
        
        f6(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1)
        
        a(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1)
        
        a(b)(b(a)(x1)) = x1 >= x1 = a(a)(x1)
        
        a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1)
        
        a(b)(b(c)(x1)) = x1 >= x1 = a(c)(x1)
        
        b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1)
        
        b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1)
        
        b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1)
        
        b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1)
        
        c(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1)
        
        c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1)
        
        c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1)
        
        c(b)(b(c)(x1)) = x1 >= x1 = c(c)(x1)
        
        f6(c)(c(f6)(x1)) = x1 + 2 >= x1 = f6(f6)(x1)
        
        f6(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1)
        
        f6(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1)
        
        f6(c)(c(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1)
        
        a(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1)
        
        a(c)(c(a)(x1)) = x1 >= x1 = a(a)(x1)
        
        a(c)(c(b)(x1)) = x1 >= x1 = a(b)(x1)
        
        a(c)(c(c)(x1)) = x1 >= x1 = a(c)(x1)
        
        b(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1)
        
        b(c)(c(a)(x1)) = x1 >= x1 = b(a)(x1)
        
        b(c)(c(b)(x1)) = x1 >= x1 = b(b)(x1)
        
        b(c)(c(c)(x1)) = x1 >= x1 = b(c)(x1)
        
        c(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1)
        
        c(c)(c(a)(x1)) = x1 >= x1 = c(a)(x1)
        
        c(c)(c(b)(x1)) = x1 >= x1 = c(b)(x1)
        
        c(c)(c(c)(x1)) = x1 >= x1 = c(c)(x1)
        
        f6(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = f6(a)(a(b)(b(c)(c(f6)(x1))))
        
        f6(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(a)(x1))))
        
        f6(c)(c(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(b)(x1))))
        
        f6(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(c)(x1))))
        
        a(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(a)(a(b)(b(c)(c(f6)(x1))))
        
        a(c)(c(b)(b(a)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(a)(x1))))
        
        a(c)(c(b)(b(b)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(b)(x1))))
        
        a(c)(c(b)(b(c)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(c)(x1))))
        
        b(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(b)(b(c)(c(f6)(x1))))
        
        b(c)(c(b)(b(a)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(a)(x1))))
        
        b(c)(c(b)(b(b)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(b)(x1))))
        
        b(c)(c(b)(b(c)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(c)(x1))))
        
        c(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(f6)(x1))))
        
        c(c)(c(b)(b(a)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(a)(x1))))
        
        c(c)(c(b)(b(b)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(b)(x1))))
        
        c(c)(c(b)(b(c)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(c)(x1))))
       problem:
        DPs:
         c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
         c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
         c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
         c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
         c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
         c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
         c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
         a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
         a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
         a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
        TRS:
         f6(a)(a(a)(x1)) -> f6(a)(x1)
         f6(a)(a(b)(x1)) -> f6(b)(x1)
         f6(a)(a(c)(x1)) -> f6(c)(x1)
         a(a)(a(f6)(x1)) -> a(f6)(x1)
         a(a)(a(a)(x1)) -> a(a)(x1)
         a(a)(a(b)(x1)) -> a(b)(x1)
         a(a)(a(c)(x1)) -> a(c)(x1)
         b(a)(a(f6)(x1)) -> b(f6)(x1)
         b(a)(a(a)(x1)) -> b(a)(x1)
         b(a)(a(b)(x1)) -> b(b)(x1)
         b(a)(a(c)(x1)) -> b(c)(x1)
         c(a)(a(f6)(x1)) -> c(f6)(x1)
         c(a)(a(a)(x1)) -> c(a)(x1)
         c(a)(a(b)(x1)) -> c(b)(x1)
         c(a)(a(c)(x1)) -> c(c)(x1)
         f6(a)(a(a)(a(f6)(x1))) -> f6(b)(b(c)(c(f6)(x1)))
         f6(a)(a(a)(a(a)(x1))) -> f6(b)(b(c)(c(a)(x1)))
         f6(a)(a(a)(a(b)(x1))) -> f6(b)(b(c)(c(b)(x1)))
         f6(a)(a(a)(a(c)(x1))) -> f6(b)(b(c)(c(c)(x1)))
         a(a)(a(a)(a(f6)(x1))) -> a(b)(b(c)(c(f6)(x1)))
         a(a)(a(a)(a(a)(x1))) -> a(b)(b(c)(c(a)(x1)))
         a(a)(a(a)(a(b)(x1))) -> a(b)(b(c)(c(b)(x1)))
         a(a)(a(a)(a(c)(x1))) -> a(b)(b(c)(c(c)(x1)))
         b(a)(a(a)(a(f6)(x1))) -> b(b)(b(c)(c(f6)(x1)))
         b(a)(a(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1)))
         b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1)))
         b(a)(a(a)(a(c)(x1))) -> b(b)(b(c)(c(c)(x1)))
         c(a)(a(a)(a(f6)(x1))) -> c(b)(b(c)(c(f6)(x1)))
         c(a)(a(a)(a(a)(x1))) -> c(b)(b(c)(c(a)(x1)))
         c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1)))
         c(a)(a(a)(a(c)(x1))) -> c(b)(b(c)(c(c)(x1)))
         f6(b)(b(a)(x1)) -> f6(a)(x1)
         f6(b)(b(b)(x1)) -> f6(b)(x1)
         f6(b)(b(c)(x1)) -> f6(c)(x1)
         a(b)(b(f6)(x1)) -> a(f6)(x1)
         a(b)(b(a)(x1)) -> a(a)(x1)
         a(b)(b(b)(x1)) -> a(b)(x1)
         a(b)(b(c)(x1)) -> a(c)(x1)
         b(b)(b(f6)(x1)) -> b(f6)(x1)
         b(b)(b(a)(x1)) -> b(a)(x1)
         b(b)(b(b)(x1)) -> b(b)(x1)
         b(b)(b(c)(x1)) -> b(c)(x1)
         c(b)(b(f6)(x1)) -> c(f6)(x1)
         c(b)(b(a)(x1)) -> c(a)(x1)
         c(b)(b(b)(x1)) -> c(b)(x1)
         c(b)(b(c)(x1)) -> c(c)(x1)
         f6(c)(c(a)(x1)) -> f6(a)(x1)
         f6(c)(c(b)(x1)) -> f6(b)(x1)
         f6(c)(c(c)(x1)) -> f6(c)(x1)
         a(c)(c(f6)(x1)) -> a(f6)(x1)
         a(c)(c(a)(x1)) -> a(a)(x1)
         a(c)(c(b)(x1)) -> a(b)(x1)
         a(c)(c(c)(x1)) -> a(c)(x1)
         b(c)(c(f6)(x1)) -> b(f6)(x1)
         b(c)(c(a)(x1)) -> b(a)(x1)
         b(c)(c(b)(x1)) -> b(b)(x1)
         b(c)(c(c)(x1)) -> b(c)(x1)
         c(c)(c(f6)(x1)) -> c(f6)(x1)
         c(c)(c(a)(x1)) -> c(a)(x1)
         c(c)(c(b)(x1)) -> c(b)(x1)
         c(c)(c(c)(x1)) -> c(c)(x1)
         f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(f6)(x1))))
         f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(a)(x1))))
         f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(b)(x1))))
         f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(x1))))
         a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1))))
         a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1))))
         a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1))))
         a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1))))
         b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1))))
         b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1))))
         b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1))))
         b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1))))
         c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1))))
         c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1))))
         c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1))))
         c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1))))
       Polynomial Interpretation Processor:
        dimension: 1
        interpretation:
         [c(a)](x0) = x0,
         
         [f6(c)](x0) = x0,
         
         [f6(b)](x0) = x0,
         
         [a{#,(f6)}](x0) = x0,
         
         [a(f6)](x0) = x0 + 1,
         
         [c(b)](x0) = x0,
         
         [c(f6)](x0) = x0,
         
         [a(a)](x0) = x0 + 1,
         
         [c{#,(f6)}](x0) = x0,
         
         [c(c)](x0) = x0,
         
         [b(c)](x0) = x0 + 1,
         
         [f6(a)](x0) = x0,
         
         [a(b)](x0) = x0,
         
         [a(c)](x0) = x0 + 1,
         
         [b(a)](x0) = x0 + 1,
         
         [b(f6)](x0) = x0 + 1,
         
         [b(b)](x0) = x0 + 1
        orientation:
         c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(a)(x1))
         
         c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(b)(x1))
         
         c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(c)(x1))
         
         c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
         
         c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
         
         c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
         
         c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
         
         a{#,(f6)}(f6(a)(a(a)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(a)(x1))
         
         a{#,(f6)}(f6(a)(a(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(b)(x1))
         
         a{#,(f6)}(f6(a)(a(c)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(c)(x1))
         
         f6(a)(a(a)(x1)) = x1 + 1 >= x1 = f6(a)(x1)
         
         f6(a)(a(b)(x1)) = x1 >= x1 = f6(b)(x1)
         
         f6(a)(a(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1)
         
         a(a)(a(f6)(x1)) = x1 + 2 >= x1 + 1 = a(f6)(x1)
         
         a(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = a(a)(x1)
         
         a(a)(a(b)(x1)) = x1 + 1 >= x1 = a(b)(x1)
         
         a(a)(a(c)(x1)) = x1 + 2 >= x1 + 1 = a(c)(x1)
         
         b(a)(a(f6)(x1)) = x1 + 2 >= x1 + 1 = b(f6)(x1)
         
         b(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = b(a)(x1)
         
         b(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1)
         
         b(a)(a(c)(x1)) = x1 + 2 >= x1 + 1 = b(c)(x1)
         
         c(a)(a(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1)
         
         c(a)(a(a)(x1)) = x1 + 1 >= x1 = c(a)(x1)
         
         c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1)
         
         c(a)(a(c)(x1)) = x1 + 1 >= x1 = c(c)(x1)
         
         f6(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(c)(c(f6)(x1)))
         
         f6(a)(a(a)(a(a)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(c)(c(a)(x1)))
         
         f6(a)(a(a)(a(b)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(c)(c(b)(x1)))
         
         f6(a)(a(a)(a(c)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(c)(c(c)(x1)))
         
         a(a)(a(a)(a(f6)(x1))) = x1 + 3 >= x1 + 1 = a(b)(b(c)(c(f6)(x1)))
         
         a(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 1 = a(b)(b(c)(c(a)(x1)))
         
         a(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 1 = a(b)(b(c)(c(b)(x1)))
         
         a(a)(a(a)(a(c)(x1))) = x1 + 3 >= x1 + 1 = a(b)(b(c)(c(c)(x1)))
         
         b(a)(a(a)(a(f6)(x1))) = x1 + 3 >= x1 + 2 = b(b)(b(c)(c(f6)(x1)))
         
         b(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 2 = b(b)(b(c)(c(a)(x1)))
         
         b(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(c)(c(b)(x1)))
         
         b(a)(a(a)(a(c)(x1))) = x1 + 3 >= x1 + 2 = b(b)(b(c)(c(c)(x1)))
         
         c(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 1 = c(b)(b(c)(c(f6)(x1)))
         
         c(a)(a(a)(a(a)(x1))) = x1 + 2 >= x1 + 1 = c(b)(b(c)(c(a)(x1)))
         
         c(a)(a(a)(a(b)(x1))) = x1 + 1 >= x1 + 1 = c(b)(b(c)(c(b)(x1)))
         
         c(a)(a(a)(a(c)(x1))) = x1 + 2 >= x1 + 1 = c(b)(b(c)(c(c)(x1)))
         
         f6(b)(b(a)(x1)) = x1 + 1 >= x1 = f6(a)(x1)
         
         f6(b)(b(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1)
         
         f6(b)(b(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1)
         
         a(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1)
         
         a(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1)
         
         a(b)(b(b)(x1)) = x1 + 1 >= x1 = a(b)(x1)
         
         a(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = a(c)(x1)
         
         b(b)(b(f6)(x1)) = x1 + 2 >= x1 + 1 = b(f6)(x1)
         
         b(b)(b(a)(x1)) = x1 + 2 >= x1 + 1 = b(a)(x1)
         
         b(b)(b(b)(x1)) = x1 + 2 >= x1 + 1 = b(b)(x1)
         
         b(b)(b(c)(x1)) = x1 + 2 >= x1 + 1 = b(c)(x1)
         
         c(b)(b(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1)
         
         c(b)(b(a)(x1)) = x1 + 1 >= x1 = c(a)(x1)
         
         c(b)(b(b)(x1)) = x1 + 1 >= x1 = c(b)(x1)
         
         c(b)(b(c)(x1)) = x1 + 1 >= x1 = c(c)(x1)
         
         f6(c)(c(a)(x1)) = x1 >= x1 = f6(a)(x1)
         
         f6(c)(c(b)(x1)) = x1 >= x1 = f6(b)(x1)
         
         f6(c)(c(c)(x1)) = x1 >= x1 = f6(c)(x1)
         
         a(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1)
         
         a(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1)
         
         a(c)(c(b)(x1)) = x1 + 1 >= x1 = a(b)(x1)
         
         a(c)(c(c)(x1)) = x1 + 1 >= x1 + 1 = a(c)(x1)
         
         b(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1)
         
         b(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1)
         
         b(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1)
         
         b(c)(c(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1)
         
         c(c)(c(f6)(x1)) = x1 >= x1 = c(f6)(x1)
         
         c(c)(c(a)(x1)) = x1 >= x1 = c(a)(x1)
         
         c(c)(c(b)(x1)) = x1 >= x1 = c(b)(x1)
         
         c(c)(c(c)(x1)) = x1 >= x1 = c(c)(x1)
         
         f6(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(f6)(x1))))
         
         f6(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(a)(x1))))
         
         f6(c)(c(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(b)(x1))))
         
         f6(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(c)(x1))))
         
         a(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(f6)(x1))))
         
         a(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(a)(x1))))
         
         a(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(b)(x1))))
         
         a(c)(c(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(c)(x1))))
         
         b(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(f6)(x1))))
         
         b(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(a)(x1))))
         
         b(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(b)(x1))))
         
         b(c)(c(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(c)(x1))))
         
         c(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(f6)(x1))))
         
         c(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(a)(x1))))
         
         c(c)(c(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(b)(x1))))
         
         c(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(c)(x1))))
        problem:
         DPs:
          c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
          c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
          c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
          c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
          a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
         TRS:
          f6(a)(a(b)(x1)) -> f6(b)(x1)
          b(a)(a(b)(x1)) -> b(b)(x1)
          c(a)(a(b)(x1)) -> c(b)(x1)
          f6(a)(a(a)(a(b)(x1))) -> f6(b)(b(c)(c(b)(x1)))
          b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1)))
          c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1)))
          a(b)(b(f6)(x1)) -> a(f6)(x1)
          a(b)(b(a)(x1)) -> a(a)(x1)
          a(b)(b(c)(x1)) -> a(c)(x1)
          f6(c)(c(a)(x1)) -> f6(a)(x1)
          f6(c)(c(b)(x1)) -> f6(b)(x1)
          f6(c)(c(c)(x1)) -> f6(c)(x1)
          a(c)(c(f6)(x1)) -> a(f6)(x1)
          a(c)(c(a)(x1)) -> a(a)(x1)
          a(c)(c(c)(x1)) -> a(c)(x1)
          b(c)(c(f6)(x1)) -> b(f6)(x1)
          b(c)(c(a)(x1)) -> b(a)(x1)
          b(c)(c(b)(x1)) -> b(b)(x1)
          b(c)(c(c)(x1)) -> b(c)(x1)
          c(c)(c(f6)(x1)) -> c(f6)(x1)
          c(c)(c(a)(x1)) -> c(a)(x1)
          c(c)(c(b)(x1)) -> c(b)(x1)
          c(c)(c(c)(x1)) -> c(c)(x1)
          f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(f6)(x1))))
          f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(a)(x1))))
          f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(b)(x1))))
          f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(x1))))
          a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1))))
          a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1))))
          a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1))))
          a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1))))
          b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1))))
          b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1))))
          b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1))))
          b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1))))
          c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1))))
          c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1))))
          c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1))))
          c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1))))
        Usable Rule Processor:
         DPs:
          c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
          c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
          c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
          c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
          a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
         TRS:
          b(c)(c(f6)(x1)) -> b(f6)(x1)
          c(a)(a(b)(x1)) -> c(b)(x1)
          c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1)))
          b(c)(c(b)(x1)) -> b(b)(x1)
          b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1))))
          b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1))))
          b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1))))
          b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1))))
          b(a)(a(b)(x1)) -> b(b)(x1)
          b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1)))
          a(b)(b(f6)(x1)) -> a(f6)(x1)
          a(b)(b(a)(x1)) -> a(a)(x1)
          a(b)(b(c)(x1)) -> a(c)(x1)
          a(c)(c(f6)(x1)) -> a(f6)(x1)
          a(c)(c(a)(x1)) -> a(a)(x1)
          a(c)(c(c)(x1)) -> a(c)(x1)
          a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1))))
          a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1))))
          a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1))))
          a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1))))
          b(c)(c(a)(x1)) -> b(a)(x1)
          b(c)(c(c)(x1)) -> b(c)(x1)
          c(c)(c(f6)(x1)) -> c(f6)(x1)
          c(c)(c(a)(x1)) -> c(a)(x1)
          c(c)(c(b)(x1)) -> c(b)(x1)
          c(c)(c(c)(x1)) -> c(c)(x1)
          c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1))))
          c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1))))
          c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1))))
          c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1))))
         Polynomial Interpretation Processor:
          dimension: 1
          interpretation:
           [c(a)](x0) = x0,
           
           [f6(b)](x0) = x0 + 1,
           
           [a{#,(f6)}](x0) = x0 + 1,
           
           [a(f6)](x0) = x0,
           
           [c(b)](x0) = x0,
           
           [c(f6)](x0) = x0,
           
           [a(a)](x0) = x0 + 1,
           
           [c{#,(f6)}](x0) = x0 + 1,
           
           [c(c)](x0) = x0,
           
           [b(c)](x0) = x0 + 1,
           
           [f6(a)](x0) = x0 + 1,
           
           [a(b)](x0) = x0,
           
           [a(c)](x0) = x0 + 1,
           
           [b(a)](x0) = x0 + 1,
           
           [b(f6)](x0) = x0 + 1,
           
           [b(b)](x0) = x0 + 1
          orientation:
           c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
           
           c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
           
           c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
           
           c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
           
           a{#,(f6)}(f6(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = c{#,(f6)}(f6(b)(x1))
           
           b(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1)
           
           c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1)
           
           c(a)(a(a)(a(b)(x1))) = x1 + 1 >= x1 + 1 = c(b)(b(c)(c(b)(x1)))
           
           b(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1)
           
           b(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(f6)(x1))))
           
           b(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(a)(x1))))
           
           b(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(b)(x1))))
           
           b(c)(c(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(c)(x1))))
           
           b(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1)
           
           b(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(c)(c(b)(x1)))
           
           a(b)(b(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1)
           
           a(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1)
           
           a(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = a(c)(x1)
           
           a(c)(c(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1)
           
           a(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1)
           
           a(c)(c(c)(x1)) = x1 + 1 >= x1 + 1 = a(c)(x1)
           
           a(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(f6)(x1))))
           
           a(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(a)(x1))))
           
           a(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(b)(x1))))
           
           a(c)(c(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(c)(x1))))
           
           b(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1)
           
           b(c)(c(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1)
           
           c(c)(c(f6)(x1)) = x1 >= x1 = c(f6)(x1)
           
           c(c)(c(a)(x1)) = x1 >= x1 = c(a)(x1)
           
           c(c)(c(b)(x1)) = x1 >= x1 = c(b)(x1)
           
           c(c)(c(c)(x1)) = x1 >= x1 = c(c)(x1)
           
           c(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(f6)(x1))))
           
           c(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(a)(x1))))
           
           c(c)(c(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(b)(x1))))
           
           c(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(c)(x1))))
          problem:
           DPs:
            c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
            c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
            c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
            c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
            a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
           TRS:
            b(c)(c(f6)(x1)) -> b(f6)(x1)
            c(a)(a(b)(x1)) -> c(b)(x1)
            c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1)))
            b(c)(c(b)(x1)) -> b(b)(x1)
            b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1))))
            b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1))))
            b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1))))
            b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1))))
            b(a)(a(b)(x1)) -> b(b)(x1)
            b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1)))
            a(b)(b(a)(x1)) -> a(a)(x1)
            a(b)(b(c)(x1)) -> a(c)(x1)
            a(c)(c(a)(x1)) -> a(a)(x1)
            a(c)(c(c)(x1)) -> a(c)(x1)
            a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1))))
            a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1))))
            a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1))))
            a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1))))
            b(c)(c(a)(x1)) -> b(a)(x1)
            b(c)(c(c)(x1)) -> b(c)(x1)
            c(c)(c(f6)(x1)) -> c(f6)(x1)
            c(c)(c(a)(x1)) -> c(a)(x1)
            c(c)(c(b)(x1)) -> c(b)(x1)
            c(c)(c(c)(x1)) -> c(c)(x1)
            c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1))))
            c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1))))
            c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1))))
            c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1))))
          Polynomial Interpretation Processor:
           dimension: 1
           interpretation:
            [c(a)](x0) = x0,
            
            [f6(b)](x0) = x0,
            
            [a{#,(f6)}](x0) = x0,
            
            [c(b)](x0) = x0,
            
            [c(f6)](x0) = x0,
            
            [a(a)](x0) = x0,
            
            [c{#,(f6)}](x0) = x0 + 1,
            
            [c(c)](x0) = x0,
            
            [b(c)](x0) = x0,
            
            [f6(a)](x0) = x0 + 1,
            
            [a(b)](x0) = x0,
            
            [a(c)](x0) = x0,
            
            [b(a)](x0) = x0,
            
            [b(f6)](x0) = x0,
            
            [b(b)](x0) = x0
           orientation:
            c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(b)(b(c)(c(f6)(x1))))
            
            c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(b)(b(c)(c(a)(x1))))
            
            c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(b)(b(c)(c(b)(x1))))
            
            c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(b)(b(c)(c(c)(x1))))
            
            a{#,(f6)}(f6(a)(a(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(b)(x1))
            
            b(c)(c(f6)(x1)) = x1 >= x1 = b(f6)(x1)
            
            c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1)
            
            c(a)(a(a)(a(b)(x1))) = x1 >= x1 = c(b)(b(c)(c(b)(x1)))
            
            b(c)(c(b)(x1)) = x1 >= x1 = b(b)(x1)
            
            b(c)(c(b)(b(f6)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(f6)(x1))))
            
            b(c)(c(b)(b(a)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(a)(x1))))
            
            b(c)(c(b)(b(b)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(b)(x1))))
            
            b(c)(c(b)(b(c)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(c)(x1))))
            
            b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1)
            
            b(a)(a(a)(a(b)(x1))) = x1 >= x1 = b(b)(b(c)(c(b)(x1)))
            
            a(b)(b(a)(x1)) = x1 >= x1 = a(a)(x1)
            
            a(b)(b(c)(x1)) = x1 >= x1 = a(c)(x1)
            
            a(c)(c(a)(x1)) = x1 >= x1 = a(a)(x1)
            
            a(c)(c(c)(x1)) = x1 >= x1 = a(c)(x1)
            
            a(c)(c(b)(b(f6)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(f6)(x1))))
            
            a(c)(c(b)(b(a)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(a)(x1))))
            
            a(c)(c(b)(b(b)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(b)(x1))))
            
            a(c)(c(b)(b(c)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(c)(x1))))
            
            b(c)(c(a)(x1)) = x1 >= x1 = b(a)(x1)
            
            b(c)(c(c)(x1)) = x1 >= x1 = b(c)(x1)
            
            c(c)(c(f6)(x1)) = x1 >= x1 = c(f6)(x1)
            
            c(c)(c(a)(x1)) = x1 >= x1 = c(a)(x1)
            
            c(c)(c(b)(x1)) = x1 >= x1 = c(b)(x1)
            
            c(c)(c(c)(x1)) = x1 >= x1 = c(c)(x1)
            
            c(c)(c(b)(b(f6)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(f6)(x1))))
            
            c(c)(c(b)(b(a)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(a)(x1))))
            
            c(c)(c(b)(b(b)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(b)(x1))))
            
            c(c)(c(b)(b(c)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(c)(x1))))
           problem:
            DPs:
             a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
            TRS:
             b(c)(c(f6)(x1)) -> b(f6)(x1)
             c(a)(a(b)(x1)) -> c(b)(x1)
             c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1)))
             b(c)(c(b)(x1)) -> b(b)(x1)
             b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1))))
             b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1))))
             b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1))))
             b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1))))
             b(a)(a(b)(x1)) -> b(b)(x1)
             b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1)))
             a(b)(b(a)(x1)) -> a(a)(x1)
             a(b)(b(c)(x1)) -> a(c)(x1)
             a(c)(c(a)(x1)) -> a(a)(x1)
             a(c)(c(c)(x1)) -> a(c)(x1)
             a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1))))
             a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1))))
             a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1))))
             a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1))))
             b(c)(c(a)(x1)) -> b(a)(x1)
             b(c)(c(c)(x1)) -> b(c)(x1)
             c(c)(c(f6)(x1)) -> c(f6)(x1)
             c(c)(c(a)(x1)) -> c(a)(x1)
             c(c)(c(b)(x1)) -> c(b)(x1)
             c(c)(c(c)(x1)) -> c(c)(x1)
             c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1))))
             c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1))))
             c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1))))
             c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1))))
           SCC Processor:
            #sccs: 0
            #rules: 0
            #arcs: 80/1