YES Problem: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) Proof: DP Processor: DPs: a#(a(a(a(x1)))) -> b#(x1) a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) b#(b(a(a(x1)))) -> b#(c(c(x1))) b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) TRS: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) TDG Processor: DPs: a#(a(a(a(x1)))) -> b#(x1) a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) b#(b(a(a(x1)))) -> b#(c(c(x1))) b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) TRS: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) graph: b#(b(a(a(x1)))) -> b#(c(c(x1))) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) b#(b(a(a(x1)))) -> b#(c(c(x1))) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) b#(b(a(a(x1)))) -> b#(c(c(x1))) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) b#(b(a(a(x1)))) -> b#(c(c(x1))) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> 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a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(x1) EDG Processor: DPs: a#(a(a(a(x1)))) -> b#(x1) a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) b#(b(a(a(x1)))) -> b#(c(c(x1))) b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) TRS: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) graph: a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> 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-> b#(b(b(b(x1)))) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(a(a(x1)))) -> b#(b(b(x1))) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) a#(a(a(a(x1)))) -> b#(b(b(x1))) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) a#(a(a(a(x1)))) -> b#(b(b(x1))) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) a#(a(a(a(x1)))) -> b#(b(b(x1))) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) a#(a(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) a#(a(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) a#(a(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(c(c(x1))) a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(a(a(x1)))) -> 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a#(b(b(b(b(b(b(x1))))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) CDG Processor: DPs: a#(a(a(a(x1)))) -> b#(x1) a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) b#(b(a(a(x1)))) -> b#(c(c(x1))) b#(b(a(a(x1)))) -> b#(b(c(c(x1)))) b#(b(a(a(x1)))) -> b#(b(b(c(c(x1))))) b#(b(a(a(x1)))) -> b#(b(b(b(c(c(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) TRS: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) graph: a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) -> a#(a(a(a(x1)))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> b#(x1) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> a#(a(b(b(b(b(b(b(x1)))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> a#(b(b(b(b(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(b(x1))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(b(x1)) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) -> a#(a(a(a(x1)))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 5 #arcs: 80/400 DPs: a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(a(a(a(a(b(b(x1)))))))) TRS: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) Matrix Interpretation Processor: dim=3 interpretation: [a#](x0) = [0 1 1]x0, [0 0 1] [1] [c](x0) = [1 1 0]x0 + [1] [0 0 0] [1], [1] [b](x0) = [0] [0], [0 0 0] [0] [a](x0) = [1 0 0]x0 + [0] [0 0 0] [1] orientation: a#(a(b(b(b(b(c(c(x1)))))))) = [2] >= [2] = a#(a(b(b(x1)))) a#(a(b(b(b(b(c(c(x1)))))))) = [2] >= [1] = a#(a(a(b(b(x1))))) a#(a(b(b(b(b(c(c(x1)))))))) = [2] >= [1] = a#(a(a(a(b(b(x1)))))) a#(a(b(b(b(b(c(c(x1)))))))) = [2] >= [1] = a#(a(a(a(a(b(b(x1))))))) a#(a(b(b(b(b(c(c(x1)))))))) = [2] >= [1] = a#(a(a(a(a(a(b(b(x1)))))))) [0] [0] a(a(a(a(x1)))) = [0] >= [0] = a(a(b(b(b(b(b(b(x1)))))))) [1] [1] [1] [1] b(b(a(a(x1)))) = [0] >= [0] = b(b(b(b(c(c(x1)))))) [0] [0] [0] [0] a(a(b(b(b(b(c(c(x1)))))))) = [0] >= [0] = a(a(a(a(a(a(b(b(x1)))))))) [1] [1] problem: DPs: a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) TRS: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) EDG Processor: DPs: a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) TRS: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) graph: a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(b(b(b(b(c(c(x1)))))))) -> a#(a(b(b(x1)))) Matrix Interpretation Processor: dim=5 interpretation: [a#](x0) = [0 0 1 0 0]x0, [0 0 0 0 0] [0] [0 0 0 0 0] [0] [c](x0) = [1 0 0 0 0]x0 + [0] [0 1 1 0 1] [0] [0 1 1 1 0] [1], [0 0 0 0 0] [0 0 0 0 1] [b](x0) = [0 1 0 0 0]x0 [0 0 0 0 0] [1 0 1 0 0] , [0 0 0 1 1] [0] [0 0 0 0 0] [0] [a](x0) = [0 1 0 0 0]x0 + [0] [1 1 1 0 1] [1] [0 1 0 0 0] [0] orientation: a#(a(b(b(b(b(c(c(x1)))))))) = [1 1 1 0 1]x1 + [1] >= [1 0 1 0 0]x1 = a#(a(b(b(x1)))) [1 2 1 0 1] [2] [1 2 1 0 1] [1] [0 0 0 0 0] [0] [0 0 0 0 0] [0] a(a(a(a(x1)))) = [0 0 0 0 0]x1 + [0] >= [0 0 0 0 0]x1 + [0] = a(a(b(b(b(b(b(b(x1)))))))) [0 2 0 1 1] [2] [0 2 0 0 1] [1] [0 0 0 0 0] [0] [0 0 0 0 0] [0] [0 0 0 0 0] [0] [0 0 0 0 0] [0] [1 2 1 0 1] [1] [1 1 1 0 1] [1] b(b(a(a(x1)))) = [0 0 0 0 0]x1 + [0] >= [0 0 0 0 0]x1 + [0] = b(b(b(b(c(c(x1)))))) [0 0 0 0 0] [0] [0 0 0 0 0] [0] [0 0 0 0 0] [0] [0 0 0 0 0] [0] [2 2 2 0 2] [3] [2 1 2 0 1] [3] [0 0 0 0 0] [0] [0 0 0 0 0] [0] a(a(b(b(b(b(c(c(x1)))))))) = [0 0 0 0 0]x1 + [0] >= [0 0 0 0 0]x1 + [0] = a(a(a(a(a(a(b(b(x1)))))))) [2 2 2 0 2] [3] [2 1 2 0 0] [3] [0 0 0 0 0] [0] [0 0 0 0 0] [0] problem: DPs: TRS: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) Qed