YES Problem: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) Proof: DP Processor: DPs: a#(a(x1)) -> a#(b(x1)) a#(a(a(x1))) -> a#(b(a(x1))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) a#(b(a(x1))) -> a#(b(b(x1))) a#(a(a(a(x1)))) -> a#(b(a(a(x1)))) a#(a(a(a(x1)))) -> a#(b(a(b(a(a(x1)))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) a#(a(b(a(x1)))) -> a#(b(x1)) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) a#(a(b(a(x1)))) -> a#(b(b(a(b(a(b(x1))))))) a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(a(a(a(a(x1))))) -> a#(b(a(a(a(x1))))) a#(a(a(a(a(x1))))) -> a#(b(a(b(a(a(a(x1))))))) a#(a(a(a(a(x1))))) -> a#(a(b(a(b(a(a(a(x1)))))))) a#(a(a(a(a(x1))))) -> a#(a(a(b(a(b(a(a(a(x1))))))))) a#(a(a(b(a(x1))))) -> a#(b(x1)) a#(a(a(b(a(x1))))) -> a#(a(b(x1))) a#(a(a(b(a(x1))))) -> a#(b(a(a(b(x1))))) a#(a(a(b(a(x1))))) -> a#(b(b(a(b(a(a(b(x1)))))))) a#(a(a(b(a(x1))))) -> a#(a(b(b(a(b(a(a(b(x1))))))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(b(a(x1))))) -> a#(b(b(x1))) a#(a(b(b(a(x1))))) -> a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) -> a#(b(b(b(a(b(a(b(b(x1))))))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) EDG Processor: DPs: a#(a(x1)) -> a#(b(x1)) a#(a(a(x1))) -> a#(b(a(x1))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) a#(b(a(x1))) -> a#(b(b(x1))) a#(a(a(a(x1)))) -> a#(b(a(a(x1)))) a#(a(a(a(x1)))) -> a#(b(a(b(a(a(x1)))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) a#(a(b(a(x1)))) -> a#(b(x1)) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) a#(a(b(a(x1)))) -> a#(b(b(a(b(a(b(x1))))))) a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(a(a(a(a(x1))))) -> a#(b(a(a(a(x1))))) a#(a(a(a(a(x1))))) -> a#(b(a(b(a(a(a(x1))))))) a#(a(a(a(a(x1))))) -> a#(a(b(a(b(a(a(a(x1)))))))) a#(a(a(a(a(x1))))) -> a#(a(a(b(a(b(a(a(a(x1))))))))) a#(a(a(b(a(x1))))) -> a#(b(x1)) a#(a(a(b(a(x1))))) -> a#(a(b(x1))) a#(a(a(b(a(x1))))) -> a#(b(a(a(b(x1))))) a#(a(a(b(a(x1))))) -> a#(b(b(a(b(a(a(b(x1)))))))) a#(a(a(b(a(x1))))) -> a#(a(b(b(a(b(a(a(b(x1))))))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(b(a(x1))))) -> a#(b(b(x1))) a#(a(b(b(a(x1))))) -> a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) -> a#(b(b(b(a(b(a(b(b(x1))))))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) graph: a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) -> a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) -> a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(b(a(a(a(x1))))) -> 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a#(b(a(b(b(x1))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(a(b(b(a(x1))))) -> a#(b(b(b(a(b(a(b(b(x1))))))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(b(a(x1)))) -> a#(b(b(b(x1)))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(b(a(a(x1))))) -> a#(b(b(b(a(x1))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(b(b(a(x1))))) -> a#(b(b(b(b(x1))))) SCC Processor: #sccs: 1 #rules: 34 #arcs: 523/1444 DPs: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(x1))) -> a#(b(b(x1))) a#(a(b(b(a(x1))))) -> a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) -> a#(b(b(x1))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) a#(a(a(b(a(x1))))) -> a#(a(b(b(a(b(a(a(b(x1))))))))) a#(a(a(b(a(x1))))) -> a#(b(b(a(b(a(a(b(x1)))))))) a#(a(a(b(a(x1))))) -> a#(b(a(a(b(x1))))) a#(a(a(b(a(x1))))) -> a#(a(b(x1))) a#(a(a(b(a(x1))))) -> a#(b(x1)) a#(a(a(a(a(x1))))) -> a#(a(a(b(a(b(a(a(a(x1))))))))) a#(a(a(a(a(x1))))) -> a#(a(b(a(b(a(a(a(x1)))))))) a#(a(a(a(a(x1))))) -> a#(b(a(b(a(a(a(x1))))))) a#(a(a(a(a(x1))))) -> a#(b(a(a(a(x1))))) a#(a(b(a(x1)))) -> a#(b(b(a(b(a(b(x1))))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) a#(a(b(a(x1)))) -> a#(b(x1)) a#(a(a(a(x1)))) -> a#(a(b(a(b(a(a(x1))))))) a#(a(a(a(x1)))) -> a#(b(a(b(a(a(x1)))))) a#(a(a(a(x1)))) -> a#(b(a(a(x1)))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) a#(a(a(x1))) -> a#(b(a(x1))) a#(a(x1)) -> a#(b(x1)) TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) Arctic Interpretation Processor: dimension: 1 interpretation: [a#](x0) = x0 + 11, [b](x0) = 6, [a](x0) = 5x0 + 2 orientation: a#(b(b(a(a(x1))))) = 11 >= 11 = a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) = 11 >= 11 = a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) = 11 >= 11 = a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) = 11 >= 11 = a#(b(x1)) a#(b(a(a(a(x1))))) = 11 >= 11 = a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) = 11 >= 11 = a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) = 11 >= 11 = a#(b(b(a(a(x1))))) a#(b(a(a(x1)))) = 11 >= 11 = a#(b(a(b(b(a(x1)))))) a#(b(a(a(x1)))) = 11 >= 11 = a#(b(b(a(x1)))) a#(b(a(x1))) = 11 >= 11 = a#(b(b(x1))) a#(a(b(b(a(x1))))) = 11 >= 11 = a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) = 11 >= 11 = a#(b(b(x1))) a#(a(b(a(a(x1))))) = 11 >= 11 = a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(a(a(x1))))) = 11 >= 11 = a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) = 11 >= 11 = a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) = 11 >= 11 = a#(b(a(x1))) a#(a(a(b(a(x1))))) = 16 >= 11 = a#(a(b(b(a(b(a(a(b(x1))))))))) a#(a(a(b(a(x1))))) = 16 >= 11 = a#(b(b(a(b(a(a(b(x1)))))))) a#(a(a(b(a(x1))))) = 16 >= 11 = a#(b(a(a(b(x1))))) a#(a(a(b(a(x1))))) = 16 >= 11 = a#(a(b(x1))) a#(a(a(b(a(x1))))) = 16 >= 11 = a#(b(x1)) a#(a(a(a(a(x1))))) = 20x1 + 17 >= 16 = a#(a(a(b(a(b(a(a(a(x1))))))))) a#(a(a(a(a(x1))))) = 20x1 + 17 >= 11 = a#(a(b(a(b(a(a(a(x1)))))))) a#(a(a(a(a(x1))))) = 20x1 + 17 >= 11 = a#(b(a(b(a(a(a(x1))))))) a#(a(a(a(a(x1))))) = 20x1 + 17 >= 11 = a#(b(a(a(a(x1))))) a#(a(b(a(x1)))) = 11 >= 11 = a#(b(b(a(b(a(b(x1))))))) a#(a(b(a(x1)))) = 11 >= 11 = a#(b(a(b(x1)))) a#(a(b(a(x1)))) = 11 >= 11 = a#(b(x1)) a#(a(a(a(x1)))) = 15x1 + 12 >= 11 = a#(a(b(a(b(a(a(x1))))))) a#(a(a(a(x1)))) = 15x1 + 12 >= 11 = a#(b(a(b(a(a(x1)))))) a#(a(a(a(x1)))) = 15x1 + 12 >= 11 = a#(b(a(a(x1)))) a#(a(a(x1))) = 10x1 + 11 >= 11 = a#(b(a(b(a(x1))))) a#(a(a(x1))) = 10x1 + 11 >= 11 = a#(b(a(x1))) a#(a(x1)) = 5x1 + 11 >= 11 = a#(b(x1)) a(a(x1)) = 10x1 + 7 >= 6 = b(a(b(x1))) a(a(a(x1))) = 15x1 + 12 >= 11 = a(b(a(b(a(x1))))) a(b(a(x1))) = 11 >= 6 = b(b(a(b(b(x1))))) a(a(a(a(x1)))) = 20x1 + 17 >= 16 = a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) = 16 >= 11 = a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) = 11 >= 6 = b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) = 11 >= 6 = b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) = 25x1 + 22 >= 21 = a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) = 21 >= 16 = a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) = 16 >= 11 = a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) = 16 >= 11 = a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) = 11 >= 6 = b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) = 11 >= 6 = b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) = 11 >= 6 = b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) = 11 >= 6 = b(b(b(b(a(b(b(b(b(x1))))))))) problem: DPs: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(x1))) -> a#(b(b(x1))) a#(a(b(b(a(x1))))) -> a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) -> a#(b(b(x1))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) a#(a(b(a(x1)))) -> a#(b(b(a(b(a(b(x1))))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) a#(a(b(a(x1)))) -> a#(b(x1)) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) a#(a(a(x1))) -> a#(b(a(x1))) a#(a(x1)) -> a#(b(x1)) TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) EDG Processor: DPs: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(x1))) -> a#(b(b(x1))) a#(a(b(b(a(x1))))) -> a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) -> a#(b(b(x1))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) a#(a(b(a(x1)))) -> a#(b(b(a(b(a(b(x1))))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) a#(a(b(a(x1)))) -> a#(b(x1)) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) a#(a(a(x1))) -> a#(b(a(x1))) a#(a(x1)) -> a#(b(x1)) TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) graph: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) 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a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(x1))))) -> a#(b(a(b(b(x1))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(x1))))) -> a#(b(b(x1))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(b(a(x1))))))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(a(b(a(a(x1))))) -> a#(b(a(b(a(x1))))) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) -> a#(a(b(a(a(x1))))) -> a#(b(a(x1))) a#(b(a(a(a(x1))))) -> 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a#(b(a(b(a(x1))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(a(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(a(a(x1))) -> a#(b(a(x1))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(a(x1)) -> a#(b(x1)) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(x1))) -> a#(b(b(x1))) Arctic Interpretation Processor: dimension: 1 interpretation: [a#](x0) = x0 + 1, [b](x0) = 0, [a](x0) = 1x0 + 1 orientation: a#(b(b(a(a(x1))))) = 1 >= 1 = a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) = 1 >= 1 = a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) = 1 >= 1 = a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) = 1 >= 1 = a#(b(x1)) a#(b(a(a(a(x1))))) = 1 >= 1 = a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) = 1 >= 1 = a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) = 1 >= 1 = a#(b(b(a(a(x1))))) a#(b(a(a(x1)))) = 1 >= 1 = a#(b(a(b(b(a(x1)))))) a#(b(a(a(x1)))) = 1 >= 1 = a#(b(b(a(x1)))) a#(b(a(x1))) = 1 >= 1 = a#(b(b(x1))) a#(a(b(b(a(x1))))) = 1 >= 1 = a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) = 1 >= 1 = a#(b(b(x1))) a#(a(b(a(a(x1))))) = 1 >= 1 = a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(a(a(x1))))) = 1 >= 1 = a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) = 1 >= 1 = a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) = 1 >= 1 = a#(b(a(x1))) a#(a(b(a(x1)))) = 1 >= 1 = a#(b(b(a(b(a(b(x1))))))) a#(a(b(a(x1)))) = 1 >= 1 = a#(b(a(b(x1)))) a#(a(b(a(x1)))) = 1 >= 1 = a#(b(x1)) a#(a(a(x1))) = 2x1 + 2 >= 1 = a#(b(a(b(a(x1))))) a#(a(a(x1))) = 2x1 + 2 >= 1 = a#(b(a(x1))) a#(a(x1)) = 1x1 + 1 >= 1 = a#(b(x1)) a(a(x1)) = 2x1 + 2 >= 0 = b(a(b(x1))) a(a(a(x1))) = 3x1 + 3 >= 1 = a(b(a(b(a(x1))))) a(b(a(x1))) = 1 >= 0 = b(b(a(b(b(x1))))) a(a(a(a(x1)))) = 4x1 + 4 >= 2 = a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) = 2 >= 1 = a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) = 1 >= 0 = b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) = 1 >= 0 = b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) = 5x1 + 5 >= 3 = a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) = 3 >= 2 = a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) = 2 >= 1 = a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) = 2 >= 1 = a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) = 1 >= 0 = b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) = 1 >= 0 = b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) = 1 >= 0 = b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) = 1 >= 0 = b(b(b(b(a(b(b(b(b(x1))))))))) problem: DPs: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(x1))) -> a#(b(b(x1))) a#(a(b(b(a(x1))))) -> a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) -> a#(b(b(x1))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) a#(a(b(a(x1)))) -> a#(b(b(a(b(a(b(x1))))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) a#(a(b(a(x1)))) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) EDG Processor: DPs: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(x1))) -> a#(b(b(x1))) a#(a(b(b(a(x1))))) -> a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) -> a#(b(b(x1))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) -> a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) a#(a(b(a(x1)))) -> a#(b(b(a(b(a(b(x1))))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) a#(a(b(a(x1)))) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) graph: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) -> a#(b(x1)) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(b(a(a(a(x1))))) 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a#(a(b(a(b(b(a(a(x1)))))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(b(a(a(x1))))) -> a#(b(a(x1))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(b(a(x1)))) -> a#(b(b(a(b(a(b(x1))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(x1))) -> a#(b(b(x1))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(b(a(x1)))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(b(a(x1)))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(b(a(a(x1))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(b(a(b(b(a(a(x1))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(a(a(x1))))) -> a#(a(b(a(b(b(a(a(x1)))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(x1))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(a(b(a(x1))))) -> a#(b(b(a(b(b(a(b(x1)))))))) a#(a(x1)) -> a#(b(x1)) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) Arctic Interpretation Processor: dimension: 1 interpretation: [a#](x0) = x0 + 0, [b](x0) = -4x0 + 8, [a](x0) = 4x0 + 13 orientation: a#(b(b(a(a(x1))))) = x1 + 9 >= -8x1 + 9 = a#(b(a(b(b(b(a(x1))))))) a#(b(a(b(a(x1))))) = x1 + 9 >= -12x1 + 8 = a#(b(b(a(b(b(a(b(x1)))))))) a#(b(a(b(a(x1))))) = x1 + 9 >= -8x1 + 8 = a#(b(b(a(b(x1))))) a#(b(a(b(a(x1))))) = x1 + 9 >= -4x1 + 8 = a#(b(x1)) a#(b(a(a(a(x1))))) = 8x1 + 17 >= 4x1 + 13 = a#(a(b(a(b(b(a(a(x1)))))))) a#(b(a(a(a(x1))))) = 8x1 + 17 >= x1 + 9 = a#(b(a(b(b(a(a(x1))))))) a#(b(a(a(a(x1))))) = 8x1 + 17 >= x1 + 9 = a#(b(b(a(a(x1))))) a#(b(a(a(x1)))) = 4x1 + 13 >= -4x1 + 9 = a#(b(a(b(b(a(x1)))))) a#(b(a(a(x1)))) = 4x1 + 13 >= -4x1 + 8 = a#(b(b(a(x1)))) a#(b(a(x1))) = x1 + 9 >= -8x1 + 8 = a#(b(b(x1))) a#(a(b(b(a(x1))))) = x1 + 13 >= -8x1 + 9 = a#(b(a(b(b(x1))))) a#(a(b(b(a(x1))))) = x1 + 13 >= -8x1 + 8 = a#(b(b(x1))) a#(a(b(a(a(x1))))) = 8x1 + 17 >= x1 + 9 = a#(b(a(b(a(b(a(b(a(x1))))))))) a#(a(b(a(a(x1))))) = 8x1 + 17 >= x1 + 9 = a#(b(a(b(a(b(a(x1))))))) a#(a(b(a(a(x1))))) = 8x1 + 17 >= x1 + 9 = a#(b(a(b(a(x1))))) a#(a(b(a(a(x1))))) = 8x1 + 17 >= x1 + 9 = a#(b(a(x1))) a#(a(b(a(x1)))) = 4x1 + 13 >= -8x1 + 8 = a#(b(b(a(b(a(b(x1))))))) a#(a(b(a(x1)))) = 4x1 + 13 >= -4x1 + 9 = a#(b(a(b(x1)))) a#(a(b(a(x1)))) = 4x1 + 13 >= -4x1 + 8 = a#(b(x1)) a#(a(x1)) = 4x1 + 13 >= -4x1 + 8 = a#(b(x1)) a(a(x1)) = 8x1 + 17 >= -4x1 + 9 = b(a(b(x1))) a(a(a(x1))) = 12x1 + 21 >= 4x1 + 13 = a(b(a(b(a(x1))))) a(b(a(x1))) = 4x1 + 13 >= -12x1 + 8 = b(b(a(b(b(x1))))) a(a(a(a(x1)))) = 16x1 + 25 >= 12x1 + 21 = a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) = 8x1 + 17 >= -4x1 + 13 = a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) = 8x1 + 17 >= -4x1 + 9 = b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) = x1 + 13 >= -20x1 + 8 = b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) = 20x1 + 29 >= 20x1 + 29 = a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) = 12x1 + 21 >= 4x1 + 17 = a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) = 12x1 + 21 >= 4x1 + 13 = a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) = 4x1 + 17 >= -12x1 + 13 = a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) = 12x1 + 21 >= 4x1 + 13 = b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) = 4x1 + 13 >= -12x1 + 9 = b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) = 4x1 + 13 >= -12x1 + 8 = b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) = -4x1 + 13 >= -28x1 + 8 = b(b(b(b(a(b(b(b(b(x1))))))))) problem: DPs: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) EDG Processor: DPs: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) graph: a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) -> a#(b(b(a(a(x1))))) -> a#(b(a(b(b(b(a(x1))))))) Matrix Interpretation Processor: dim=3 interpretation: [a#](x0) = [0 1 0]x0 + [1], [0 0 0] [b](x0) = [1 1 0]x0 [0 0 0] , [0 0 1] [0] [a](x0) = [1 1 0]x0 + [0] [0 0 0] [1] orientation: a#(b(b(a(a(x1))))) = [1 1 1]x1 + [2] >= [1 1 1]x1 + [1] = a#(b(a(b(b(b(a(x1))))))) [0 0 0] [1] [0 0 0] a(a(x1)) = [1 1 1]x1 + [0] >= [1 1 0]x1 = b(a(b(x1))) [0 0 0] [1] [0 0 0] [0 0 0] [1] [0 0 0] [0] a(a(a(x1))) = [1 1 1]x1 + [1] >= [1 1 1]x1 + [0] = a(b(a(b(a(x1))))) [0 0 0] [1] [0 0 0] [1] [0 0 0] [0] [0 0 0] a(b(a(x1))) = [1 1 1]x1 + [0] >= [1 1 0]x1 = b(b(a(b(b(x1))))) [0 0 0] [1] [0 0 0] [0 0 0] [1] [0 0 0] [1] a(a(a(a(x1)))) = [1 1 1]x1 + [2] >= [1 1 1]x1 + [1] = a(a(b(a(b(a(a(x1))))))) [0 0 0] [1] [0 0 0] [1] [0 0 0] [1] [0 0 0] [0] a(a(b(a(x1)))) = [1 1 1]x1 + [0] >= [1 1 0]x1 + [0] = a(b(b(a(b(a(b(x1))))))) [0 0 0] [1] [0 0 0] [1] [0 0 0] [0] [0 0 0] a(b(a(a(x1)))) = [1 1 1]x1 + [1] >= [1 1 1]x1 = b(a(b(a(b(b(a(x1))))))) [0 0 0] [1] [0 0 0] [0 0 0] [0] [0 0 0] a(b(b(a(x1)))) = [1 1 1]x1 + [0] >= [1 1 0]x1 = b(b(b(a(b(b(b(x1))))))) [0 0 0] [1] [0 0 0] [0 0 0] [1] [0 0 0] [1] a(a(a(a(a(x1))))) = [1 1 1]x1 + [3] >= [1 1 1]x1 + [3] = a(a(a(b(a(b(a(a(a(x1))))))))) [0 0 0] [1] [0 0 0] [1] [0 0 0] [1] [0 0 0] [1] a(a(a(b(a(x1))))) = [1 1 1]x1 + [1] >= [1 1 0]x1 + [1] = a(a(b(b(a(b(a(a(b(x1))))))))) [0 0 0] [1] [0 0 0] [1] [0 0 0] [1] [0 0 0] [0] a(a(b(a(a(x1))))) = [1 1 1]x1 + [1] >= [1 1 1]x1 + [0] = a(b(a(b(a(b(a(b(a(x1))))))))) [0 0 0] [1] [0 0 0] [1] [0 0 0] [1] [0 0 0] [0] a(a(b(b(a(x1))))) = [1 1 1]x1 + [0] >= [1 1 0]x1 + [0] = a(b(b(b(a(b(a(b(b(x1))))))))) [0 0 0] [1] [0 0 0] [1] [0 0 0] [0] [0 0 0] [0] a(b(a(a(a(x1))))) = [1 1 1]x1 + [2] >= [1 1 1]x1 + [2] = b(a(a(b(a(b(b(a(a(x1))))))))) [0 0 0] [1] [0 0 0] [0] [0 0 0] [0] [0 0 0] a(b(a(b(a(x1))))) = [1 1 1]x1 + [0] >= [1 1 0]x1 = b(a(b(b(a(b(b(a(b(x1))))))))) [0 0 0] [1] [0 0 0] [0 0 0] [0] [0 0 0] a(b(b(a(a(x1))))) = [1 1 1]x1 + [1] >= [1 1 1]x1 = b(b(a(b(a(b(b(b(a(x1))))))))) [0 0 0] [1] [0 0 0] [0 0 0] [0] [0 0 0] a(b(b(b(a(x1))))) = [1 1 1]x1 + [0] >= [1 1 0]x1 = b(b(b(b(a(b(b(b(b(x1))))))))) [0 0 0] [1] [0 0 0] problem: DPs: TRS: a(a(x1)) -> b(a(b(x1))) a(a(a(x1))) -> a(b(a(b(a(x1))))) a(b(a(x1))) -> b(b(a(b(b(x1))))) a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1))))))) a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1))))))) a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1))))))) a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1))))))) a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) Qed