YES

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

Proof:
 DP Processor:
  DPs:
   a#(b(x1)) -> c#(x1)
   c#(c(x1)) -> a#(c(x1))
   c#(c(x1)) -> a#(a(c(x1)))
   c#(c(x1)) -> b#(a(a(c(x1))))
   c#(c(x1)) -> b#(b(a(a(c(x1)))))
  TRS:
   a(x1) -> x1
   a(b(x1)) -> c(x1)
   b(x1) -> x1
   c(c(x1)) -> b(b(a(a(c(x1)))))
  TDG Processor:
   DPs:
    a#(b(x1)) -> c#(x1)
    c#(c(x1)) -> a#(c(x1))
    c#(c(x1)) -> a#(a(c(x1)))
    c#(c(x1)) -> b#(a(a(c(x1))))
    c#(c(x1)) -> b#(b(a(a(c(x1)))))
   TRS:
    a(x1) -> x1
    a(b(x1)) -> c(x1)
    b(x1) -> x1
    c(c(x1)) -> b(b(a(a(c(x1)))))
   graph:
    c#(c(x1)) -> a#(c(x1)) -> a#(b(x1)) -> c#(x1)
    c#(c(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> c#(x1)
    a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> b#(b(a(a(c(x1)))))
    a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> b#(a(a(c(x1))))
    a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> a#(a(c(x1)))
    a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> a#(c(x1))
   SCC Processor:
    #sccs: 1
    #rules: 3
    #arcs: 6/25
    DPs:
     c#(c(x1)) -> a#(c(x1))
     a#(b(x1)) -> c#(x1)
     c#(c(x1)) -> a#(a(c(x1)))
    TRS:
     a(x1) -> x1
     a(b(x1)) -> c(x1)
     b(x1) -> x1
     c(c(x1)) -> b(b(a(a(c(x1)))))
    Root-Labeling Processor:
     DPs:
      c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
      c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
      c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
      c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
      a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
      a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
      a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
      a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
      c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
      c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
      c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
      c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(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(b)(b(f6)(x1))) -> f6(c)(c(f6)(x1))
      f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1))
      f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1))
      f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1))
      a(a)(a(b)(b(f6)(x1))) -> a(c)(c(f6)(x1))
      a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1))
      a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1))
      a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1))
      b(a)(a(b)(b(f6)(x1))) -> b(c)(c(f6)(x1))
      b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1))
      b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1))
      b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1))
      c(a)(a(b)(b(f6)(x1))) -> c(c)(c(f6)(x1))
      c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1))
      c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1))
      c(a)(a(b)(b(c)(x1))) -> c(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(c)(c(f6)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
      f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
      f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
      f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
      a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
      a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
      a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
      a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
      b(c)(c(c)(c(f6)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
      b(c)(c(c)(c(a)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
      b(c)(c(c)(c(b)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
      b(c)(c(c)(c(c)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
      c(c)(c(c)(c(f6)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
      c(c)(c(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
      c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
      c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
     TDG Processor:
      DPs:
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(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(b)(b(f6)(x1))) -> f6(c)(c(f6)(x1))
       f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1))
       f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1))
       f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1))
       a(a)(a(b)(b(f6)(x1))) -> a(c)(c(f6)(x1))
       a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1))
       a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1))
       a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1))
       b(a)(a(b)(b(f6)(x1))) -> b(c)(c(f6)(x1))
       b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1))
       b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1))
       b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1))
       c(a)(a(b)(b(f6)(x1))) -> c(c)(c(f6)(x1))
       c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1))
       c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1))
       c(a)(a(b)(b(c)(x1))) -> c(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(c)(c(f6)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
       f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
       f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
       f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
       a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
       a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
       a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
       a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
       b(c)(c(c)(c(f6)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
       b(c)(c(c)(c(a)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
       b(c)(c(c)(c(b)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
       b(c)(c(c)(c(c)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
       c(c)(c(c)(c(f6)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
       c(c)(c(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
       c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
       c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
      graph:
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) ->
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) ->
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) ->
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) ->
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) ->
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) ->
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) ->
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) ->
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) ->
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) ->
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) ->
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) ->
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) ->
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) ->
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) ->
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) ->
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) ->
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) ->
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) ->
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) ->
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) ->
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) ->
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) ->
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) ->
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) ->
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) ->
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) ->
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) ->
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) ->
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) ->
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) ->
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) ->
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) ->
       a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) ->
       a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) ->
       a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
       c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) ->
       a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
      Polynomial Interpretation Processor:
       dimension: 1
       interpretation:
        [f6(a)](x0) = x0 + 1,
        
        [b(f6)](x0) = x0,
        
        [f6(c)](x0) = x0 + 1,
        
        [f6(f6)](x0) = x0 + 1,
        
        [a(c)](x0) = x0,
        
        [b(b)](x0) = x0,
        
        [b(a)](x0) = x0,
        
        [a(f6)](x0) = x0 + 1,
        
        [a{#,(f6)}](x0) = x0,
        
        [c{#,(f6)}](x0) = x0,
        
        [b(c)](x0) = x0,
        
        [f6(b)](x0) = x0 + 1,
        
        [c(b)](x0) = x0 + 1,
        
        [a(a)](x0) = x0,
        
        [a(b)](x0) = x0 + 1,
        
        [c(a)](x0) = x0 + 1,
        
        [c(f6)](x0) = x0,
        
        [c(c)](x0) = x0 + 1
       orientation:
        c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(f6)(x1)))
        
        c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(a)(x1)))
        
        c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(b)(x1)))
        
        c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(c)(x1)))
        
        a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(f6)(x1))
        
        a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(a)(x1))
        
        a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(b)(x1))
        
        a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(x1))
        
        c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
        
        c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
        
        c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
        
        c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
        
        f6(a)(a(f6)(x1)) = x1 + 2 >= x1 + 1 = f6(f6)(x1)
        
        f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1)
        
        f6(a)(a(b)(x1)) = x1 + 2 >= 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 + 1 >= x1 + 1 = a(b)(x1)
        
        a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1)
        
        b(a)(a(f6)(x1)) = x1 + 1 >= x1 = b(f6)(x1)
        
        b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1)
        
        b(a)(a(b)(x1)) = x1 + 1 >= x1 = b(b)(x1)
        
        b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1)
        
        c(a)(a(f6)(x1)) = x1 + 2 >= x1 = c(f6)(x1)
        
        c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1)
        
        c(a)(a(b)(x1)) = x1 + 2 >= x1 + 1 = c(b)(x1)
        
        c(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1)
        
        f6(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 1 = f6(c)(c(f6)(x1))
        
        f6(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(a)(x1))
        
        f6(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(b)(x1))
        
        f6(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(c)(x1))
        
        a(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 = a(c)(c(f6)(x1))
        
        a(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(a)(x1))
        
        a(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(x1))
        
        a(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(c)(x1))
        
        b(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 = b(c)(c(f6)(x1))
        
        b(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(a)(x1))
        
        b(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(x1))
        
        b(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(c)(x1))
        
        c(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 1 = c(c)(c(f6)(x1))
        
        c(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(a)(x1))
        
        c(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(b)(x1))
        
        c(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(c)(x1))
        
        f6(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = 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 + 1 >= x1 = a(a)(x1)
        
        a(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1)
        
        a(b)(b(c)(x1)) = x1 + 1 >= x1 = a(c)(x1)
        
        b(b)(b(f6)(x1)) = x1 >= x1 = 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 = c(f6)(x1)
        
        c(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1)
        
        c(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1)
        
        c(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1)
        
        f6(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
        
        f6(c)(c(c)(c(a)(x1))) = x1 + 3 >= x1 + 2 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
        
        f6(c)(c(c)(c(b)(x1))) = x1 + 3 >= x1 + 2 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
        
        f6(c)(c(c)(c(c)(x1))) = x1 + 3 >= x1 + 2 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
        
        a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
        
        a(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
        
        a(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
        
        a(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
        
        b(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
        
        b(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
        
        b(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
        
        b(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
        
        c(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 1 = c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
        
        c(c)(c(c)(c(a)(x1))) = x1 + 3 >= x1 + 2 = c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
        
        c(c)(c(c)(c(b)(x1))) = x1 + 3 >= x1 + 2 = c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
        
        c(c)(c(c)(c(c)(x1))) = x1 + 3 >= x1 + 2 = c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
       problem:
        DPs:
         c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
         c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
         c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
         c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
         a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
         a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
         a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
         a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
         c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
         c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
         c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
         c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
        TRS:
         f6(a)(a(a)(x1)) -> f6(a)(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(a)(x1)) -> b(a)(x1)
         b(a)(a(c)(x1)) -> b(c)(x1)
         c(a)(a(a)(x1)) -> c(a)(x1)
         c(a)(a(c)(x1)) -> c(c)(x1)
         f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1))
         f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1))
         f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1))
         a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1))
         a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1))
         a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1))
         b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1))
         b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1))
         b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1))
         c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1))
         c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1))
         c(a)(a(b)(b(c)(x1))) -> c(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(b)(x1)) -> a(b)(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(a)(x1)) -> c(a)(x1)
         c(b)(b(b)(x1)) -> c(b)(x1)
         c(b)(b(c)(x1)) -> c(c)(x1)
         a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
         a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
         a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
         a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
       Polynomial Interpretation Processor:
        dimension: 1
        interpretation:
         [f6(a)](x0) = x0,
         
         [b(f6)](x0) = x0 + 1,
         
         [f6(c)](x0) = x0,
         
         [f6(f6)](x0) = x0 + 1,
         
         [a(c)](x0) = x0,
         
         [b(b)](x0) = x0,
         
         [b(a)](x0) = x0,
         
         [a(f6)](x0) = x0,
         
         [a{#,(f6)}](x0) = x0 + 1,
         
         [c{#,(f6)}](x0) = x0 + 1,
         
         [b(c)](x0) = x0,
         
         [f6(b)](x0) = x0,
         
         [c(b)](x0) = x0,
         
         [a(a)](x0) = x0,
         
         [a(b)](x0) = x0,
         
         [c(a)](x0) = x0,
         
         [c(f6)](x0) = x0,
         
         [c(c)](x0) = x0
        orientation:
         c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(f6)(x1)))
         
         c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(x1)))
         
         c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(b)(x1)))
         
         c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(c)(x1)))
         
         a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = c{#,(f6)}(f6(f6)(x1))
         
         a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(a)(x1))
         
         a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(b)(x1))
         
         a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(x1))
         
         c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
         
         c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
         
         c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
         
         c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
         
         f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1)
         
         f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1)
         
         a(a)(a(f6)(x1)) = x1 >= x1 = 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(a)(x1)) = x1 >= x1 = b(a)(x1)
         
         b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1)
         
         c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1)
         
         c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1)
         
         f6(a)(a(b)(b(a)(x1))) = x1 >= x1 = f6(c)(c(a)(x1))
         
         f6(a)(a(b)(b(b)(x1))) = x1 >= x1 = f6(c)(c(b)(x1))
         
         f6(a)(a(b)(b(c)(x1))) = x1 >= x1 = f6(c)(c(c)(x1))
         
         a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(a)(x1))
         
         a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(x1))
         
         a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(c)(x1))
         
         b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(a)(x1))
         
         b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(b)(x1))
         
         b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(c)(x1))
         
         c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(a)(x1))
         
         c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(b)(x1))
         
         c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(c)(x1))
         
         f6(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = f6(f6)(x1)
         
         f6(b)(b(a)(x1)) = x1 >= x1 = f6(a)(x1)
         
         f6(b)(b(b)(x1)) = x1 >= x1 = f6(b)(x1)
         
         f6(b)(b(c)(x1)) = x1 >= x1 = f6(c)(x1)
         
         a(b)(b(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1)
         
         a(b)(b(b)(x1)) = x1 >= x1 = a(b)(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(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)
         
         a(c)(c(c)(c(f6)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
         
         a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
         
         a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
         
         a(c)(c(c)(c(c)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
        problem:
         DPs:
          c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
          c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
          c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
          c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
          a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
          a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1))
          a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
          a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1))
          c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
          c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
          c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
          c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
         TRS:
          f6(a)(a(a)(x1)) -> f6(a)(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(a)(x1)) -> b(a)(x1)
          b(a)(a(c)(x1)) -> b(c)(x1)
          c(a)(a(a)(x1)) -> c(a)(x1)
          c(a)(a(c)(x1)) -> c(c)(x1)
          f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1))
          f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1))
          f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1))
          a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1))
          a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1))
          a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1))
          b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1))
          b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1))
          b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1))
          c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1))
          c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1))
          c(a)(a(b)(b(c)(x1))) -> c(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(b)(x1)) -> a(b)(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(a)(x1)) -> c(a)(x1)
          c(b)(b(b)(x1)) -> c(b)(x1)
          c(b)(b(c)(x1)) -> c(c)(x1)
          a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
          a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
          a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
          a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
        Polynomial Interpretation Processor:
         dimension: 1
         interpretation:
          [f6(a)](x0) = x0,
          
          [b(f6)](x0) = x0,
          
          [f6(c)](x0) = x0,
          
          [f6(f6)](x0) = x0 + 1,
          
          [a(c)](x0) = x0,
          
          [b(b)](x0) = x0,
          
          [b(a)](x0) = x0,
          
          [a(f6)](x0) = x0,
          
          [a{#,(f6)}](x0) = x0,
          
          [c{#,(f6)}](x0) = x0,
          
          [b(c)](x0) = x0,
          
          [f6(b)](x0) = x0 + 1,
          
          [c(b)](x0) = x0,
          
          [a(a)](x0) = x0,
          
          [a(b)](x0) = x0,
          
          [c(a)](x0) = x0,
          
          [c(f6)](x0) = x0,
          
          [c(c)](x0) = x0
         orientation:
          c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(f6)(x1)))
          
          c{#,(f6)}(f6(c)(c(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(a)(x1)))
          
          c{#,(f6)}(f6(c)(c(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(b)(x1)))
          
          c{#,(f6)}(f6(c)(c(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(c)(x1)))
          
          a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(f6)(x1))
          
          a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(a)(x1))
          
          a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(b)(x1))
          
          a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(c)(x1))
          
          c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
          
          c{#,(f6)}(f6(c)(c(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
          
          c{#,(f6)}(f6(c)(c(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
          
          c{#,(f6)}(f6(c)(c(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
          
          f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1)
          
          f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1)
          
          a(a)(a(f6)(x1)) = x1 >= x1 = 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(a)(x1)) = x1 >= x1 = b(a)(x1)
          
          b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1)
          
          c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1)
          
          c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1)
          
          f6(a)(a(b)(b(a)(x1))) = x1 >= x1 = f6(c)(c(a)(x1))
          
          f6(a)(a(b)(b(b)(x1))) = x1 >= x1 = f6(c)(c(b)(x1))
          
          f6(a)(a(b)(b(c)(x1))) = x1 >= x1 = f6(c)(c(c)(x1))
          
          a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(a)(x1))
          
          a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(x1))
          
          a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(c)(x1))
          
          b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(a)(x1))
          
          b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(b)(x1))
          
          b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(c)(x1))
          
          c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(a)(x1))
          
          c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(b)(x1))
          
          c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(c)(x1))
          
          f6(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = f6(f6)(x1)
          
          f6(b)(b(a)(x1)) = x1 + 1 >= x1 = f6(a)(x1)
          
          f6(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1)
          
          f6(b)(b(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1)
          
          a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1)
          
          b(b)(b(f6)(x1)) = x1 >= x1 = 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(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)
          
          a(c)(c(c)(c(f6)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
          
          a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
          
          a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
          
          a(c)(c(c)(c(c)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
         problem:
          DPs:
           c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
           c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
           c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
           c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
           a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1))
           a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
           c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
           c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
           c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
           c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
          TRS:
           f6(a)(a(a)(x1)) -> f6(a)(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(a)(x1)) -> b(a)(x1)
           b(a)(a(c)(x1)) -> b(c)(x1)
           c(a)(a(a)(x1)) -> c(a)(x1)
           c(a)(a(c)(x1)) -> c(c)(x1)
           f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1))
           f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1))
           f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1))
           a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1))
           a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1))
           a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1))
           b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1))
           b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1))
           b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1))
           c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1))
           c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1))
           c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1))
           f6(b)(b(f6)(x1)) -> f6(f6)(x1)
           f6(b)(b(b)(x1)) -> f6(b)(x1)
           a(b)(b(b)(x1)) -> a(b)(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(a)(x1)) -> c(a)(x1)
           c(b)(b(b)(x1)) -> c(b)(x1)
           c(b)(b(c)(x1)) -> c(c)(x1)
           a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
           a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
           a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
           a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
         Polynomial Interpretation Processor:
          dimension: 1
          interpretation:
           [f6(a)](x0) = x0,
           
           [b(f6)](x0) = x0 + 1,
           
           [f6(c)](x0) = x0,
           
           [f6(f6)](x0) = x0,
           
           [a(c)](x0) = x0,
           
           [b(b)](x0) = x0,
           
           [b(a)](x0) = x0,
           
           [a(f6)](x0) = x0,
           
           [a{#,(f6)}](x0) = x0,
           
           [c{#,(f6)}](x0) = x0,
           
           [b(c)](x0) = x0,
           
           [f6(b)](x0) = x0,
           
           [c(b)](x0) = x0,
           
           [a(a)](x0) = x0,
           
           [a(b)](x0) = x0,
           
           [c(a)](x0) = x0,
           
           [c(f6)](x0) = x0,
           
           [c(c)](x0) = x0
          orientation:
           c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(f6)(x1)))
           
           c{#,(f6)}(f6(c)(c(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(a)(x1)))
           
           c{#,(f6)}(f6(c)(c(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(b)(x1)))
           
           c{#,(f6)}(f6(c)(c(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(c)(x1)))
           
           a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(f6)(x1))
           
           a{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(b)(x1))
           
           c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
           
           c{#,(f6)}(f6(c)(c(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
           
           c{#,(f6)}(f6(c)(c(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
           
           c{#,(f6)}(f6(c)(c(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
           
           f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1)
           
           f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1)
           
           a(a)(a(f6)(x1)) = x1 >= x1 = 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(a)(x1)) = x1 >= x1 = b(a)(x1)
           
           b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1)
           
           c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1)
           
           c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1)
           
           f6(a)(a(b)(b(a)(x1))) = x1 >= x1 = f6(c)(c(a)(x1))
           
           f6(a)(a(b)(b(b)(x1))) = x1 >= x1 = f6(c)(c(b)(x1))
           
           f6(a)(a(b)(b(c)(x1))) = x1 >= x1 = f6(c)(c(c)(x1))
           
           a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(a)(x1))
           
           a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(x1))
           
           a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(c)(x1))
           
           b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(a)(x1))
           
           b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(b)(x1))
           
           b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(c)(x1))
           
           c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(a)(x1))
           
           c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(b)(x1))
           
           c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(c)(x1))
           
           f6(b)(b(f6)(x1)) = x1 + 1 >= x1 = f6(f6)(x1)
           
           f6(b)(b(b)(x1)) = x1 >= x1 = f6(b)(x1)
           
           a(b)(b(b)(x1)) = x1 >= x1 = a(b)(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(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)
           
           a(c)(c(c)(c(f6)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
           
           a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
           
           a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
           
           a(c)(c(c)(c(c)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
          problem:
           DPs:
            c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
            c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
            c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
            c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
            a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1))
            c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
            c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
            c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
            c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
           TRS:
            f6(a)(a(a)(x1)) -> f6(a)(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(a)(x1)) -> b(a)(x1)
            b(a)(a(c)(x1)) -> b(c)(x1)
            c(a)(a(a)(x1)) -> c(a)(x1)
            c(a)(a(c)(x1)) -> c(c)(x1)
            f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1))
            f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1))
            f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1))
            a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1))
            a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1))
            a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1))
            b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1))
            b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1))
            b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1))
            c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1))
            c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1))
            c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1))
            f6(b)(b(b)(x1)) -> f6(b)(x1)
            a(b)(b(b)(x1)) -> a(b)(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(a)(x1)) -> c(a)(x1)
            c(b)(b(b)(x1)) -> c(b)(x1)
            c(b)(b(c)(x1)) -> c(c)(x1)
            a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
            a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
            a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
            a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
          Polynomial Interpretation Processor:
           dimension: 1
           usable rules:
            f6(b)(b(b)(x1)) -> f6(b)(x1)
           interpretation:
            [f6(a)](x0) = 0,
            
            [b(f6)](x0) = 0,
            
            [f6(c)](x0) = 1,
            
            [a(c)](x0) = 1,
            
            [b(b)](x0) = 0,
            
            [b(a)](x0) = 0,
            
            [a(f6)](x0) = 0,
            
            [a{#,(f6)}](x0) = 1,
            
            [c{#,(f6)}](x0) = x0,
            
            [b(c)](x0) = 0,
            
            [f6(b)](x0) = 0,
            
            [c(b)](x0) = 0,
            
            [a(a)](x0) = 0,
            
            [a(b)](x0) = 0,
            
            [c(a)](x0) = 0,
            
            [c(f6)](x0) = 0,
            
            [c(c)](x0) = 0
           orientation:
            c{#,(f6)}(f6(c)(c(f6)(x1))) = 1 >= 1 = a{#,(f6)}(f6(c)(c(f6)(x1)))
            
            c{#,(f6)}(f6(c)(c(a)(x1))) = 1 >= 1 = a{#,(f6)}(f6(c)(c(a)(x1)))
            
            c{#,(f6)}(f6(c)(c(b)(x1))) = 1 >= 1 = a{#,(f6)}(f6(c)(c(b)(x1)))
            
            c{#,(f6)}(f6(c)(c(c)(x1))) = 1 >= 1 = a{#,(f6)}(f6(c)(c(c)(x1)))
            
            a{#,(f6)}(f6(b)(b(b)(x1))) = 1 >= 0 = c{#,(f6)}(f6(b)(x1))
            
            c{#,(f6)}(f6(c)(c(f6)(x1))) = 1 >= 1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
            
            c{#,(f6)}(f6(c)(c(a)(x1))) = 1 >= 1 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
            
            c{#,(f6)}(f6(c)(c(b)(x1))) = 1 >= 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
            
            c{#,(f6)}(f6(c)(c(c)(x1))) = 1 >= 1 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
            
            f6(a)(a(a)(x1)) = 0 >= 0 = f6(a)(x1)
            
            f6(a)(a(c)(x1)) = 0 >= 1 = f6(c)(x1)
            
            a(a)(a(f6)(x1)) = 0 >= 0 = a(f6)(x1)
            
            a(a)(a(a)(x1)) = 0 >= 0 = a(a)(x1)
            
            a(a)(a(b)(x1)) = 0 >= 0 = a(b)(x1)
            
            a(a)(a(c)(x1)) = 0 >= 1 = a(c)(x1)
            
            b(a)(a(a)(x1)) = 0 >= 0 = b(a)(x1)
            
            b(a)(a(c)(x1)) = 0 >= 0 = b(c)(x1)
            
            c(a)(a(a)(x1)) = 0 >= 0 = c(a)(x1)
            
            c(a)(a(c)(x1)) = 0 >= 0 = c(c)(x1)
            
            f6(a)(a(b)(b(a)(x1))) = 0 >= 1 = f6(c)(c(a)(x1))
            
            f6(a)(a(b)(b(b)(x1))) = 0 >= 1 = f6(c)(c(b)(x1))
            
            f6(a)(a(b)(b(c)(x1))) = 0 >= 1 = f6(c)(c(c)(x1))
            
            a(a)(a(b)(b(a)(x1))) = 0 >= 1 = a(c)(c(a)(x1))
            
            a(a)(a(b)(b(b)(x1))) = 0 >= 1 = a(c)(c(b)(x1))
            
            a(a)(a(b)(b(c)(x1))) = 0 >= 1 = a(c)(c(c)(x1))
            
            b(a)(a(b)(b(a)(x1))) = 0 >= 0 = b(c)(c(a)(x1))
            
            b(a)(a(b)(b(b)(x1))) = 0 >= 0 = b(c)(c(b)(x1))
            
            b(a)(a(b)(b(c)(x1))) = 0 >= 0 = b(c)(c(c)(x1))
            
            c(a)(a(b)(b(a)(x1))) = 0 >= 0 = c(c)(c(a)(x1))
            
            c(a)(a(b)(b(b)(x1))) = 0 >= 0 = c(c)(c(b)(x1))
            
            c(a)(a(b)(b(c)(x1))) = 0 >= 0 = c(c)(c(c)(x1))
            
            f6(b)(b(b)(x1)) = 0 >= 0 = f6(b)(x1)
            
            a(b)(b(b)(x1)) = 0 >= 0 = a(b)(x1)
            
            b(b)(b(f6)(x1)) = 0 >= 0 = b(f6)(x1)
            
            b(b)(b(a)(x1)) = 0 >= 0 = b(a)(x1)
            
            b(b)(b(b)(x1)) = 0 >= 0 = b(b)(x1)
            
            b(b)(b(c)(x1)) = 0 >= 0 = b(c)(x1)
            
            c(b)(b(a)(x1)) = 0 >= 0 = c(a)(x1)
            
            c(b)(b(b)(x1)) = 0 >= 0 = c(b)(x1)
            
            c(b)(b(c)(x1)) = 0 >= 0 = c(c)(x1)
            
            a(c)(c(c)(c(f6)(x1))) = 1 >= 0 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
            
            a(c)(c(c)(c(a)(x1))) = 1 >= 0 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
            
            a(c)(c(c)(c(b)(x1))) = 1 >= 0 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
            
            a(c)(c(c)(c(c)(x1))) = 1 >= 0 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
           problem:
            DPs:
             c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1)))
             c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1)))
             c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1)))
             c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1)))
             c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1))))
             c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1))))
             c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1))))
             c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1))))
            TRS:
             f6(a)(a(a)(x1)) -> f6(a)(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(a)(x1)) -> b(a)(x1)
             b(a)(a(c)(x1)) -> b(c)(x1)
             c(a)(a(a)(x1)) -> c(a)(x1)
             c(a)(a(c)(x1)) -> c(c)(x1)
             f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1))
             f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1))
             f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1))
             a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1))
             a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1))
             a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1))
             b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1))
             b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1))
             b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1))
             c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1))
             c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1))
             c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1))
             f6(b)(b(b)(x1)) -> f6(b)(x1)
             a(b)(b(b)(x1)) -> a(b)(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(a)(x1)) -> c(a)(x1)
             c(b)(b(b)(x1)) -> c(b)(x1)
             c(b)(b(c)(x1)) -> c(c)(x1)
             a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1))))))
             a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1))))))
             a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1))))))
             a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1))))))
           SCC Processor:
            #sccs: 0
            #rules: 0
            #arcs: 64/64