YES Problem: a(b(x1)) -> C(x1) b(c(x1)) -> A(x1) c(a(x1)) -> B(x1) A(C(x1)) -> b(x1) C(B(x1)) -> a(x1) B(A(x1)) -> c(x1) a(a(a(a(a(x1))))) -> A(A(A(x1))) A(A(A(A(x1)))) -> a(a(a(a(x1)))) b(b(b(b(b(x1))))) -> B(B(B(x1))) B(B(B(B(x1)))) -> b(b(b(b(x1)))) c(c(c(c(c(x1))))) -> C(C(C(x1))) C(C(C(C(x1)))) -> c(c(c(c(x1)))) B(a(a(a(a(x1))))) -> c(A(A(A(x1)))) A(A(A(b(x1)))) -> a(a(a(a(C(x1))))) C(b(b(b(b(x1))))) -> a(B(B(B(x1)))) B(B(B(c(x1)))) -> b(b(b(b(A(x1))))) A(c(c(c(c(x1))))) -> b(C(C(C(x1)))) C(C(C(a(x1)))) -> c(c(c(c(B(x1))))) a(A(x1)) -> x1 A(a(x1)) -> x1 b(B(x1)) -> x1 B(b(x1)) -> x1 c(C(x1)) -> x1 C(c(x1)) -> x1 Proof: DP Processor: DPs: a#(b(x1)) -> C#(x1) b#(c(x1)) -> A#(x1) c#(a(x1)) -> B#(x1) A#(C(x1)) -> b#(x1) C#(B(x1)) -> a#(x1) B#(A(x1)) -> c#(x1) a#(a(a(a(a(x1))))) -> A#(x1) a#(a(a(a(a(x1))))) -> A#(A(x1)) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) A#(A(A(A(x1)))) -> a#(x1) A#(A(A(A(x1)))) -> a#(a(x1)) A#(A(A(A(x1)))) -> a#(a(a(x1))) A#(A(A(A(x1)))) -> a#(a(a(a(x1)))) b#(b(b(b(b(x1))))) -> B#(x1) b#(b(b(b(b(x1))))) -> B#(B(x1)) b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(B(x1)))) -> b#(x1) B#(B(B(B(x1)))) -> b#(b(x1)) B#(B(B(B(x1)))) -> b#(b(b(x1))) B#(B(B(B(x1)))) -> b#(b(b(b(x1)))) c#(c(c(c(c(x1))))) -> C#(x1) c#(c(c(c(c(x1))))) -> C#(C(x1)) c#(c(c(c(c(x1))))) -> C#(C(C(x1))) C#(C(C(C(x1)))) -> c#(x1) C#(C(C(C(x1)))) -> c#(c(x1)) C#(C(C(C(x1)))) -> c#(c(c(x1))) C#(C(C(C(x1)))) -> c#(c(c(c(x1)))) B#(a(a(a(a(x1))))) -> A#(x1) B#(a(a(a(a(x1))))) -> A#(A(x1)) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) B#(a(a(a(a(x1))))) -> c#(A(A(A(x1)))) A#(A(A(b(x1)))) -> C#(x1) A#(A(A(b(x1)))) -> a#(C(x1)) A#(A(A(b(x1)))) -> a#(a(C(x1))) A#(A(A(b(x1)))) -> a#(a(a(C(x1)))) A#(A(A(b(x1)))) -> a#(a(a(a(C(x1))))) C#(b(b(b(b(x1))))) -> B#(x1) C#(b(b(b(b(x1))))) -> B#(B(x1)) C#(b(b(b(b(x1))))) -> B#(B(B(x1))) C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) B#(B(B(c(x1)))) -> A#(x1) B#(B(B(c(x1)))) -> b#(A(x1)) B#(B(B(c(x1)))) -> b#(b(A(x1))) B#(B(B(c(x1)))) -> b#(b(b(A(x1)))) B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) A#(c(c(c(c(x1))))) -> C#(x1) A#(c(c(c(c(x1))))) -> C#(C(x1)) A#(c(c(c(c(x1))))) -> C#(C(C(x1))) A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) C#(C(C(a(x1)))) -> B#(x1) C#(C(C(a(x1)))) -> c#(B(x1)) C#(C(C(a(x1)))) -> c#(c(B(x1))) C#(C(C(a(x1)))) -> c#(c(c(B(x1)))) C#(C(C(a(x1)))) -> c#(c(c(c(B(x1))))) TRS: a(b(x1)) -> C(x1) b(c(x1)) -> A(x1) c(a(x1)) -> B(x1) A(C(x1)) -> b(x1) C(B(x1)) -> a(x1) B(A(x1)) -> c(x1) a(a(a(a(a(x1))))) -> A(A(A(x1))) A(A(A(A(x1)))) -> a(a(a(a(x1)))) b(b(b(b(b(x1))))) -> B(B(B(x1))) B(B(B(B(x1)))) -> b(b(b(b(x1)))) c(c(c(c(c(x1))))) -> C(C(C(x1))) C(C(C(C(x1)))) -> c(c(c(c(x1)))) B(a(a(a(a(x1))))) -> c(A(A(A(x1)))) A(A(A(b(x1)))) -> a(a(a(a(C(x1))))) C(b(b(b(b(x1))))) -> a(B(B(B(x1)))) B(B(B(c(x1)))) -> b(b(b(b(A(x1))))) A(c(c(c(c(x1))))) -> b(C(C(C(x1)))) C(C(C(a(x1)))) -> c(c(c(c(B(x1))))) a(A(x1)) -> x1 A(a(x1)) -> x1 b(B(x1)) -> x1 B(b(x1)) -> x1 c(C(x1)) -> x1 C(c(x1)) -> x1 TDG Processor: DPs: a#(b(x1)) -> C#(x1) b#(c(x1)) -> A#(x1) c#(a(x1)) -> B#(x1) A#(C(x1)) -> b#(x1) C#(B(x1)) -> a#(x1) B#(A(x1)) -> c#(x1) a#(a(a(a(a(x1))))) -> A#(x1) a#(a(a(a(a(x1))))) -> A#(A(x1)) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) A#(A(A(A(x1)))) -> a#(x1) A#(A(A(A(x1)))) -> a#(a(x1)) A#(A(A(A(x1)))) -> a#(a(a(x1))) A#(A(A(A(x1)))) -> a#(a(a(a(x1)))) b#(b(b(b(b(x1))))) -> B#(x1) b#(b(b(b(b(x1))))) -> B#(B(x1)) b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(B(x1)))) -> b#(x1) B#(B(B(B(x1)))) -> b#(b(x1)) B#(B(B(B(x1)))) -> b#(b(b(x1))) B#(B(B(B(x1)))) -> b#(b(b(b(x1)))) c#(c(c(c(c(x1))))) -> C#(x1) c#(c(c(c(c(x1))))) -> C#(C(x1)) c#(c(c(c(c(x1))))) -> C#(C(C(x1))) C#(C(C(C(x1)))) -> c#(x1) C#(C(C(C(x1)))) -> c#(c(x1)) C#(C(C(C(x1)))) -> c#(c(c(x1))) C#(C(C(C(x1)))) -> c#(c(c(c(x1)))) B#(a(a(a(a(x1))))) -> A#(x1) B#(a(a(a(a(x1))))) -> A#(A(x1)) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) B#(a(a(a(a(x1))))) -> c#(A(A(A(x1)))) A#(A(A(b(x1)))) -> C#(x1) A#(A(A(b(x1)))) -> a#(C(x1)) A#(A(A(b(x1)))) -> a#(a(C(x1))) A#(A(A(b(x1)))) -> a#(a(a(C(x1)))) A#(A(A(b(x1)))) -> a#(a(a(a(C(x1))))) C#(b(b(b(b(x1))))) -> B#(x1) C#(b(b(b(b(x1))))) -> B#(B(x1)) C#(b(b(b(b(x1))))) -> B#(B(B(x1))) C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) B#(B(B(c(x1)))) -> A#(x1) B#(B(B(c(x1)))) -> b#(A(x1)) B#(B(B(c(x1)))) -> b#(b(A(x1))) B#(B(B(c(x1)))) -> b#(b(b(A(x1)))) B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) A#(c(c(c(c(x1))))) -> C#(x1) A#(c(c(c(c(x1))))) -> C#(C(x1)) A#(c(c(c(c(x1))))) -> C#(C(C(x1))) A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) C#(C(C(a(x1)))) -> B#(x1) C#(C(C(a(x1)))) -> c#(B(x1)) C#(C(C(a(x1)))) -> c#(c(B(x1))) C#(C(C(a(x1)))) -> c#(c(c(B(x1)))) C#(C(C(a(x1)))) -> c#(c(c(c(B(x1))))) TRS: a(b(x1)) -> C(x1) b(c(x1)) -> A(x1) c(a(x1)) -> B(x1) A(C(x1)) -> b(x1) C(B(x1)) -> a(x1) B(A(x1)) -> c(x1) a(a(a(a(a(x1))))) -> A(A(A(x1))) A(A(A(A(x1)))) -> a(a(a(a(x1)))) b(b(b(b(b(x1))))) -> B(B(B(x1))) B(B(B(B(x1)))) -> b(b(b(b(x1)))) c(c(c(c(c(x1))))) -> C(C(C(x1))) C(C(C(C(x1)))) -> c(c(c(c(x1)))) B(a(a(a(a(x1))))) -> c(A(A(A(x1)))) A(A(A(b(x1)))) -> a(a(a(a(C(x1))))) C(b(b(b(b(x1))))) -> a(B(B(B(x1)))) B(B(B(c(x1)))) -> b(b(b(b(A(x1))))) A(c(c(c(c(x1))))) -> b(C(C(C(x1)))) C(C(C(a(x1)))) -> c(c(c(c(B(x1))))) a(A(x1)) -> x1 A(a(x1)) -> x1 b(B(x1)) -> x1 B(b(x1)) -> x1 c(C(x1)) -> x1 C(c(x1)) -> x1 graph: B#(B(B(B(x1)))) -> b#(b(b(b(x1)))) -> b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(B(x1)))) -> b#(b(b(b(x1)))) -> b#(b(b(b(b(x1))))) -> B#(B(x1)) B#(B(B(B(x1)))) -> b#(b(b(b(x1)))) -> b#(b(b(b(b(x1))))) -> B#(x1) B#(B(B(B(x1)))) -> b#(b(b(b(x1)))) -> b#(c(x1)) -> A#(x1) B#(B(B(B(x1)))) -> b#(b(b(x1))) -> b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(B(x1)))) -> b#(b(b(x1))) -> b#(b(b(b(b(x1))))) -> B#(B(x1)) B#(B(B(B(x1)))) -> b#(b(b(x1))) -> b#(b(b(b(b(x1))))) -> B#(x1) B#(B(B(B(x1)))) -> b#(b(b(x1))) -> b#(c(x1)) -> A#(x1) B#(B(B(B(x1)))) -> b#(b(x1)) -> b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(B(x1)))) -> b#(b(x1)) -> b#(b(b(b(b(x1))))) -> B#(B(x1)) B#(B(B(B(x1)))) -> b#(b(x1)) -> b#(b(b(b(b(x1))))) -> B#(x1) B#(B(B(B(x1)))) -> b#(b(x1)) -> b#(c(x1)) -> A#(x1) B#(B(B(B(x1)))) -> b#(x1) -> b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(B(x1)))) -> b#(x1) -> b#(b(b(b(b(x1))))) -> B#(B(x1)) B#(B(B(B(x1)))) -> b#(x1) -> b#(b(b(b(b(x1))))) -> B#(x1) B#(B(B(B(x1)))) -> b#(x1) -> b#(c(x1)) -> A#(x1) B#(B(B(c(x1)))) -> A#(x1) -> A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) B#(B(B(c(x1)))) -> A#(x1) -> A#(c(c(c(c(x1))))) -> C#(C(C(x1))) B#(B(B(c(x1)))) -> A#(x1) -> A#(c(c(c(c(x1))))) -> C#(C(x1)) B#(B(B(c(x1)))) -> A#(x1) -> A#(c(c(c(c(x1))))) -> C#(x1) B#(B(B(c(x1)))) -> A#(x1) -> A#(A(A(b(x1)))) -> a#(a(a(a(C(x1))))) B#(B(B(c(x1)))) -> A#(x1) -> A#(A(A(b(x1)))) -> a#(a(a(C(x1)))) B#(B(B(c(x1)))) -> A#(x1) -> A#(A(A(b(x1)))) -> a#(a(C(x1))) B#(B(B(c(x1)))) -> A#(x1) -> A#(A(A(b(x1)))) -> a#(C(x1)) B#(B(B(c(x1)))) -> A#(x1) -> A#(A(A(b(x1)))) -> C#(x1) B#(B(B(c(x1)))) -> A#(x1) -> A#(A(A(A(x1)))) -> a#(a(a(a(x1)))) B#(B(B(c(x1)))) -> A#(x1) -> A#(A(A(A(x1)))) -> a#(a(a(x1))) B#(B(B(c(x1)))) -> A#(x1) -> A#(A(A(A(x1)))) -> a#(a(x1)) B#(B(B(c(x1)))) -> A#(x1) -> A#(A(A(A(x1)))) -> a#(x1) B#(B(B(c(x1)))) -> A#(x1) -> A#(C(x1)) -> b#(x1) B#(B(B(c(x1)))) -> b#(A(x1)) -> b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(c(x1)))) -> b#(A(x1)) -> b#(b(b(b(b(x1))))) -> B#(B(x1)) B#(B(B(c(x1)))) -> b#(A(x1)) -> b#(b(b(b(b(x1))))) -> B#(x1) B#(B(B(c(x1)))) -> b#(A(x1)) -> b#(c(x1)) -> A#(x1) B#(B(B(c(x1)))) -> b#(b(A(x1))) -> b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(c(x1)))) -> b#(b(A(x1))) -> b#(b(b(b(b(x1))))) -> B#(B(x1)) B#(B(B(c(x1)))) -> b#(b(A(x1))) -> b#(b(b(b(b(x1))))) -> B#(x1) B#(B(B(c(x1)))) -> b#(b(A(x1))) -> b#(c(x1)) -> A#(x1) B#(B(B(c(x1)))) -> b#(b(b(A(x1)))) -> b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(c(x1)))) -> b#(b(b(A(x1)))) -> b#(b(b(b(b(x1))))) -> B#(B(x1)) B#(B(B(c(x1)))) -> b#(b(b(A(x1)))) -> b#(b(b(b(b(x1))))) -> B#(x1) B#(B(B(c(x1)))) -> b#(b(b(A(x1)))) -> b#(c(x1)) -> A#(x1) B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) -> b#(b(b(b(b(x1))))) -> B#(B(B(x1))) B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) -> b#(b(b(b(b(x1))))) -> B#(B(x1)) B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) -> b#(b(b(b(b(x1))))) -> B#(x1) B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) -> b#(c(x1)) -> A#(x1) B#(A(x1)) -> c#(x1) -> c#(c(c(c(c(x1))))) -> C#(C(C(x1))) B#(A(x1)) -> c#(x1) -> c#(c(c(c(c(x1))))) -> C#(C(x1)) B#(A(x1)) -> c#(x1) -> c#(c(c(c(c(x1))))) -> C#(x1) B#(A(x1)) -> c#(x1) -> c#(a(x1)) -> B#(x1) B#(a(a(a(a(x1))))) -> c#(A(A(A(x1)))) -> c#(c(c(c(c(x1))))) -> C#(C(C(x1))) B#(a(a(a(a(x1))))) -> c#(A(A(A(x1)))) -> c#(c(c(c(c(x1))))) -> C#(C(x1)) B#(a(a(a(a(x1))))) -> c#(A(A(A(x1)))) -> c#(c(c(c(c(x1))))) -> C#(x1) B#(a(a(a(a(x1))))) -> c#(A(A(A(x1)))) -> c#(a(x1)) -> B#(x1) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(c(c(c(c(x1))))) -> C#(C(C(x1))) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(c(c(c(c(x1))))) -> C#(C(x1)) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(c(c(c(c(x1))))) -> C#(x1) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> a#(a(a(a(C(x1))))) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> a#(a(a(C(x1)))) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> a#(a(C(x1))) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> a#(C(x1)) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> C#(x1) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(A(x1)))) -> a#(a(a(a(x1)))) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(A(x1)))) -> a#(a(a(x1))) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(A(x1)))) -> a#(a(x1)) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(A(x1)))) -> a#(x1) B#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(C(x1)) -> b#(x1) B#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) B#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(c(c(c(c(x1))))) -> C#(C(C(x1))) B#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(c(c(c(c(x1))))) -> C#(C(x1)) B#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(c(c(c(c(x1))))) -> C#(x1) B#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(b(x1)))) -> a#(a(a(a(C(x1))))) B#(a(a(a(a(x1))))) -> 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B#(B(x1)) -> B#(B(B(c(x1)))) -> b#(b(A(x1))) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(B(B(c(x1)))) -> b#(A(x1)) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(B(B(c(x1)))) -> A#(x1) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(a(a(a(a(x1))))) -> c#(A(A(A(x1)))) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(a(a(a(a(x1))))) -> A#(A(A(x1))) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(a(a(a(a(x1))))) -> A#(A(x1)) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(a(a(a(a(x1))))) -> A#(x1) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(B(B(B(x1)))) -> b#(b(b(b(x1)))) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(B(B(B(x1)))) -> b#(b(b(x1))) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(B(B(B(x1)))) -> b#(b(x1)) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(B(B(B(x1)))) -> b#(x1) C#(b(b(b(b(x1))))) -> B#(B(x1)) -> B#(A(x1)) -> c#(x1) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(B(B(c(x1)))) -> b#(b(b(A(x1)))) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(B(B(c(x1)))) -> b#(b(A(x1))) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(B(B(c(x1)))) -> b#(A(x1)) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(B(B(c(x1)))) -> A#(x1) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(a(a(a(a(x1))))) -> c#(A(A(A(x1)))) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(a(a(a(a(x1))))) -> A#(A(A(x1))) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(a(a(a(a(x1))))) -> A#(A(x1)) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(a(a(a(a(x1))))) -> A#(x1) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(B(B(B(x1)))) -> b#(b(b(b(x1)))) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(B(B(B(x1)))) -> b#(b(b(x1))) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(B(B(B(x1)))) -> b#(b(x1)) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(B(B(B(x1)))) -> b#(x1) C#(b(b(b(b(x1))))) -> B#(x1) -> B#(A(x1)) -> c#(x1) C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) -> a#(a(a(a(a(x1))))) -> A#(A(A(x1))) C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) -> a#(a(a(a(a(x1))))) -> A#(A(x1)) C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) -> a#(a(a(a(a(x1))))) -> A#(x1) C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) -> a#(b(x1)) -> C#(x1) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(c(c(c(c(x1))))) -> C#(C(C(x1))) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(c(c(c(c(x1))))) -> C#(C(x1)) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(c(c(c(c(x1))))) -> C#(x1) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> a#(a(a(a(C(x1))))) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> a#(a(a(C(x1)))) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> a#(a(C(x1))) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> a#(C(x1)) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(b(x1)))) -> C#(x1) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(A(x1)))) -> a#(a(a(a(x1)))) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(A(x1)))) -> a#(a(a(x1))) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(A(x1)))) -> a#(a(x1)) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(A(A(A(x1)))) -> a#(x1) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(C(x1)) -> b#(x1) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(c(c(c(c(x1))))) -> C#(C(C(x1))) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(c(c(c(c(x1))))) -> C#(C(x1)) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(c(c(c(c(x1))))) -> C#(x1) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(b(x1)))) -> a#(a(a(a(C(x1))))) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(b(x1)))) -> a#(a(a(C(x1)))) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(b(x1)))) -> a#(a(C(x1))) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(b(x1)))) -> a#(C(x1)) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(b(x1)))) -> C#(x1) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(A(x1)))) -> a#(a(a(a(x1)))) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(A(x1)))) -> a#(a(a(x1))) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(A(x1)))) -> a#(a(x1)) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(A(A(A(x1)))) -> a#(x1) a#(a(a(a(a(x1))))) -> A#(A(x1)) -> A#(C(x1)) -> b#(x1) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(c(c(c(c(x1))))) -> C#(C(C(x1))) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(c(c(c(c(x1))))) -> C#(C(x1)) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(c(c(c(c(x1))))) -> C#(x1) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(A(A(b(x1)))) -> a#(a(a(a(C(x1))))) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(A(A(b(x1)))) -> a#(a(a(C(x1)))) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(A(A(b(x1)))) -> a#(a(C(x1))) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(A(A(b(x1)))) -> a#(C(x1)) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(A(A(b(x1)))) -> C#(x1) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(A(A(A(x1)))) -> a#(a(a(a(x1)))) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(A(A(A(x1)))) -> a#(a(a(x1))) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(A(A(A(x1)))) -> a#(a(x1)) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(A(A(A(x1)))) -> a#(x1) a#(a(a(a(a(x1))))) -> A#(x1) -> A#(C(x1)) -> b#(x1) a#(b(x1)) -> C#(x1) -> C#(C(C(a(x1)))) -> c#(c(c(c(B(x1))))) a#(b(x1)) -> C#(x1) -> C#(C(C(a(x1)))) -> c#(c(c(B(x1)))) a#(b(x1)) -> C#(x1) -> C#(C(C(a(x1)))) -> c#(c(B(x1))) a#(b(x1)) -> C#(x1) -> C#(C(C(a(x1)))) -> c#(B(x1)) a#(b(x1)) -> C#(x1) -> C#(C(C(a(x1)))) -> B#(x1) a#(b(x1)) -> C#(x1) -> C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) a#(b(x1)) -> C#(x1) -> C#(b(b(b(b(x1))))) -> B#(B(B(x1))) a#(b(x1)) -> C#(x1) -> C#(b(b(b(b(x1))))) -> B#(B(x1)) a#(b(x1)) -> C#(x1) -> C#(b(b(b(b(x1))))) -> B#(x1) a#(b(x1)) -> C#(x1) -> C#(C(C(C(x1)))) -> c#(c(c(c(x1)))) a#(b(x1)) -> C#(x1) -> C#(C(C(C(x1)))) -> c#(c(c(x1))) a#(b(x1)) -> C#(x1) -> C#(C(C(C(x1)))) -> c#(c(x1)) a#(b(x1)) -> C#(x1) -> C#(C(C(C(x1)))) -> c#(x1) a#(b(x1)) -> C#(x1) -> C#(B(x1)) -> a#(x1) Arctic Interpretation Processor: dimension: 1 interpretation: [B#](x0) = 4x0, [c#](x0) = 2x0, [A#](x0) = 4x0, [b#](x0) = 3x0, [C#](x0) = 3x0, [a#](x0) = 2x0, [B](x0) = 3x0, [A](x0) = 3x0, [c](x0) = 2x0, [C](x0) = 3x0, [a](x0) = 2x0, [b](x0) = 2x0 orientation: a#(b(x1)) = 4x1 >= 3x1 = C#(x1) b#(c(x1)) = 5x1 >= 4x1 = A#(x1) c#(a(x1)) = 4x1 >= 4x1 = B#(x1) A#(C(x1)) = 7x1 >= 3x1 = b#(x1) C#(B(x1)) = 6x1 >= 2x1 = a#(x1) B#(A(x1)) = 7x1 >= 2x1 = c#(x1) a#(a(a(a(a(x1))))) = 10x1 >= 4x1 = A#(x1) a#(a(a(a(a(x1))))) = 10x1 >= 7x1 = A#(A(x1)) a#(a(a(a(a(x1))))) = 10x1 >= 10x1 = A#(A(A(x1))) A#(A(A(A(x1)))) = 13x1 >= 2x1 = a#(x1) A#(A(A(A(x1)))) = 13x1 >= 4x1 = a#(a(x1)) A#(A(A(A(x1)))) = 13x1 >= 6x1 = a#(a(a(x1))) A#(A(A(A(x1)))) = 13x1 >= 8x1 = a#(a(a(a(x1)))) b#(b(b(b(b(x1))))) = 11x1 >= 4x1 = B#(x1) b#(b(b(b(b(x1))))) = 11x1 >= 7x1 = B#(B(x1)) b#(b(b(b(b(x1))))) = 11x1 >= 10x1 = B#(B(B(x1))) B#(B(B(B(x1)))) = 13x1 >= 3x1 = b#(x1) B#(B(B(B(x1)))) = 13x1 >= 5x1 = b#(b(x1)) B#(B(B(B(x1)))) = 13x1 >= 7x1 = b#(b(b(x1))) B#(B(B(B(x1)))) = 13x1 >= 9x1 = b#(b(b(b(x1)))) c#(c(c(c(c(x1))))) = 10x1 >= 3x1 = C#(x1) c#(c(c(c(c(x1))))) = 10x1 >= 6x1 = C#(C(x1)) c#(c(c(c(c(x1))))) = 10x1 >= 9x1 = C#(C(C(x1))) C#(C(C(C(x1)))) = 12x1 >= 2x1 = c#(x1) C#(C(C(C(x1)))) = 12x1 >= 4x1 = c#(c(x1)) C#(C(C(C(x1)))) = 12x1 >= 6x1 = c#(c(c(x1))) C#(C(C(C(x1)))) = 12x1 >= 8x1 = c#(c(c(c(x1)))) B#(a(a(a(a(x1))))) = 12x1 >= 4x1 = A#(x1) B#(a(a(a(a(x1))))) = 12x1 >= 7x1 = A#(A(x1)) B#(a(a(a(a(x1))))) = 12x1 >= 10x1 = A#(A(A(x1))) B#(a(a(a(a(x1))))) = 12x1 >= 11x1 = c#(A(A(A(x1)))) A#(A(A(b(x1)))) = 12x1 >= 3x1 = C#(x1) A#(A(A(b(x1)))) = 12x1 >= 5x1 = a#(C(x1)) A#(A(A(b(x1)))) = 12x1 >= 7x1 = a#(a(C(x1))) A#(A(A(b(x1)))) = 12x1 >= 9x1 = a#(a(a(C(x1)))) A#(A(A(b(x1)))) = 12x1 >= 11x1 = a#(a(a(a(C(x1))))) C#(b(b(b(b(x1))))) = 11x1 >= 4x1 = B#(x1) C#(b(b(b(b(x1))))) = 11x1 >= 7x1 = B#(B(x1)) C#(b(b(b(b(x1))))) = 11x1 >= 10x1 = B#(B(B(x1))) C#(b(b(b(b(x1))))) = 11x1 >= 11x1 = a#(B(B(B(x1)))) B#(B(B(c(x1)))) = 12x1 >= 4x1 = A#(x1) B#(B(B(c(x1)))) = 12x1 >= 6x1 = b#(A(x1)) B#(B(B(c(x1)))) = 12x1 >= 8x1 = b#(b(A(x1))) B#(B(B(c(x1)))) = 12x1 >= 10x1 = b#(b(b(A(x1)))) B#(B(B(c(x1)))) = 12x1 >= 12x1 = b#(b(b(b(A(x1))))) A#(c(c(c(c(x1))))) = 12x1 >= 3x1 = C#(x1) A#(c(c(c(c(x1))))) = 12x1 >= 6x1 = C#(C(x1)) A#(c(c(c(c(x1))))) = 12x1 >= 9x1 = C#(C(C(x1))) A#(c(c(c(c(x1))))) = 12x1 >= 12x1 = b#(C(C(C(x1)))) C#(C(C(a(x1)))) = 11x1 >= 4x1 = B#(x1) C#(C(C(a(x1)))) = 11x1 >= 5x1 = c#(B(x1)) C#(C(C(a(x1)))) = 11x1 >= 7x1 = c#(c(B(x1))) C#(C(C(a(x1)))) = 11x1 >= 9x1 = c#(c(c(B(x1)))) C#(C(C(a(x1)))) = 11x1 >= 11x1 = c#(c(c(c(B(x1))))) a(b(x1)) = 4x1 >= 3x1 = C(x1) b(c(x1)) = 4x1 >= 3x1 = A(x1) c(a(x1)) = 4x1 >= 3x1 = B(x1) A(C(x1)) = 6x1 >= 2x1 = b(x1) C(B(x1)) = 6x1 >= 2x1 = a(x1) B(A(x1)) = 6x1 >= 2x1 = c(x1) a(a(a(a(a(x1))))) = 10x1 >= 9x1 = A(A(A(x1))) A(A(A(A(x1)))) = 12x1 >= 8x1 = a(a(a(a(x1)))) b(b(b(b(b(x1))))) = 10x1 >= 9x1 = B(B(B(x1))) B(B(B(B(x1)))) = 12x1 >= 8x1 = b(b(b(b(x1)))) c(c(c(c(c(x1))))) = 10x1 >= 9x1 = C(C(C(x1))) C(C(C(C(x1)))) = 12x1 >= 8x1 = c(c(c(c(x1)))) B(a(a(a(a(x1))))) = 11x1 >= 11x1 = c(A(A(A(x1)))) A(A(A(b(x1)))) = 11x1 >= 11x1 = a(a(a(a(C(x1))))) C(b(b(b(b(x1))))) = 11x1 >= 11x1 = a(B(B(B(x1)))) B(B(B(c(x1)))) = 11x1 >= 11x1 = b(b(b(b(A(x1))))) A(c(c(c(c(x1))))) = 11x1 >= 11x1 = b(C(C(C(x1)))) C(C(C(a(x1)))) = 11x1 >= 11x1 = c(c(c(c(B(x1))))) a(A(x1)) = 5x1 >= x1 = x1 A(a(x1)) = 5x1 >= x1 = x1 b(B(x1)) = 5x1 >= x1 = x1 B(b(x1)) = 5x1 >= x1 = x1 c(C(x1)) = 5x1 >= x1 = x1 C(c(x1)) = 5x1 >= x1 = x1 problem: DPs: c#(a(x1)) -> B#(x1) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) C#(C(C(a(x1)))) -> c#(c(c(c(B(x1))))) TRS: a(b(x1)) -> C(x1) b(c(x1)) -> A(x1) c(a(x1)) -> B(x1) A(C(x1)) -> b(x1) C(B(x1)) -> a(x1) B(A(x1)) -> c(x1) a(a(a(a(a(x1))))) -> A(A(A(x1))) A(A(A(A(x1)))) -> a(a(a(a(x1)))) b(b(b(b(b(x1))))) -> B(B(B(x1))) B(B(B(B(x1)))) -> b(b(b(b(x1)))) c(c(c(c(c(x1))))) -> C(C(C(x1))) C(C(C(C(x1)))) -> c(c(c(c(x1)))) B(a(a(a(a(x1))))) -> c(A(A(A(x1)))) A(A(A(b(x1)))) -> a(a(a(a(C(x1))))) C(b(b(b(b(x1))))) -> a(B(B(B(x1)))) B(B(B(c(x1)))) -> b(b(b(b(A(x1))))) A(c(c(c(c(x1))))) -> b(C(C(C(x1)))) C(C(C(a(x1)))) -> c(c(c(c(B(x1))))) a(A(x1)) -> x1 A(a(x1)) -> x1 b(B(x1)) -> x1 B(b(x1)) -> x1 c(C(x1)) -> x1 C(c(x1)) -> x1 EDG Processor: DPs: c#(a(x1)) -> B#(x1) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) C#(C(C(a(x1)))) -> c#(c(c(c(B(x1))))) TRS: a(b(x1)) -> C(x1) b(c(x1)) -> A(x1) c(a(x1)) -> B(x1) A(C(x1)) -> b(x1) C(B(x1)) -> a(x1) B(A(x1)) -> c(x1) a(a(a(a(a(x1))))) -> A(A(A(x1))) A(A(A(A(x1)))) -> a(a(a(a(x1)))) b(b(b(b(b(x1))))) -> B(B(B(x1))) B(B(B(B(x1)))) -> b(b(b(b(x1)))) c(c(c(c(c(x1))))) -> C(C(C(x1))) C(C(C(C(x1)))) -> c(c(c(c(x1)))) B(a(a(a(a(x1))))) -> c(A(A(A(x1)))) A(A(A(b(x1)))) -> a(a(a(a(C(x1))))) C(b(b(b(b(x1))))) -> a(B(B(B(x1)))) B(B(B(c(x1)))) -> b(b(b(b(A(x1))))) A(c(c(c(c(x1))))) -> b(C(C(C(x1)))) C(C(C(a(x1)))) -> c(c(c(c(B(x1))))) a(A(x1)) -> x1 A(a(x1)) -> x1 b(B(x1)) -> x1 B(b(x1)) -> x1 c(C(x1)) -> x1 C(c(x1)) -> x1 graph: c#(a(x1)) -> B#(x1) -> B#(B(B(c(x1)))) -> b#(b(b(b(A(x1))))) C#(C(C(a(x1)))) -> c#(c(c(c(B(x1))))) -> c#(a(x1)) -> B#(x1) C#(b(b(b(b(x1))))) -> a#(B(B(B(x1)))) -> a#(a(a(a(a(x1))))) -> A#(A(A(x1))) a#(a(a(a(a(x1))))) -> A#(A(A(x1))) -> A#(c(c(c(c(x1))))) -> b#(C(C(C(x1)))) SCC Processor: #sccs: 0 #rules: 0 #arcs: 4/36