YES Problem: a(a(s(s(x1)))) -> s(s(a(a(x1)))) b(b(a(a(b(b(s(s(x1)))))))) -> a(a(b(b(s(s(a(a(x1)))))))) b(b(a(a(b(b(b(b(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) a(a(b(b(a(a(a(a(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) Proof: String Reversal Processor: s(s(a(a(x1)))) -> a(a(s(s(x1)))) s(s(b(b(a(a(b(b(x1)))))))) -> a(a(s(s(b(b(a(a(x1)))))))) b(b(b(b(a(a(b(b(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) Matrix Interpretation Processor: dim=1 interpretation: [b](x0) = x0 + 1, [a](x0) = x0 + 1, [s](x0) = 2x0 orientation: s(s(a(a(x1)))) = 4x1 + 8 >= 4x1 + 2 = a(a(s(s(x1)))) s(s(b(b(a(a(b(b(x1)))))))) = 4x1 + 24 >= 4x1 + 18 = a(a(s(s(b(b(a(a(x1)))))))) b(b(b(b(a(a(b(b(x1)))))))) = x1 + 8 >= x1 + 8 = b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) = x1 + 8 >= x1 + 8 = a(a(b(b(a(a(b(b(x1)))))))) problem: b(b(b(b(a(a(b(b(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) DP Processor: DPs: b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) TRS: b(b(b(b(a(a(b(b(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) TDG Processor: DPs: b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) TRS: b(b(b(b(a(a(b(b(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) graph: a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(a(a(b(b(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(a(a(b(b(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(a(a(b(b(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(b(b(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(b(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) -> a#(a(a(a(b(b(a(a(x1)))))))) -> b#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(b(b(a(a(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(b(b(a(a(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(b(b(a(a(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(a(x1)) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(a(a(x1))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> a#(x1) Arctic Interpretation Processor: dimension: 1 interpretation: [a#](x0) = x0, [b#](x0) = x0, [b](x0) = 1x0, [a](x0) = 1x0 orientation: b#(b(b(b(a(a(b(b(x1)))))))) = 7x1 >= x1 = a#(x1) b#(b(b(b(a(a(b(b(x1)))))))) = 7x1 >= 1x1 = a#(a(x1)) b#(b(b(b(a(a(b(b(x1)))))))) = 7x1 >= 2x1 = b#(a(a(x1))) b#(b(b(b(a(a(b(b(x1)))))))) = 7x1 >= 3x1 = b#(b(a(a(x1)))) b#(b(b(b(a(a(b(b(x1)))))))) = 7x1 >= 4x1 = a#(b(b(a(a(x1))))) b#(b(b(b(a(a(b(b(x1)))))))) = 7x1 >= 5x1 = a#(a(b(b(a(a(x1)))))) b#(b(b(b(a(a(b(b(x1)))))))) = 7x1 >= 6x1 = b#(a(a(b(b(a(a(x1))))))) b#(b(b(b(a(a(b(b(x1)))))))) = 7x1 >= 7x1 = b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) = 7x1 >= x1 = b#(x1) a#(a(a(a(b(b(a(a(x1)))))))) = 7x1 >= 1x1 = b#(b(x1)) a#(a(a(a(b(b(a(a(x1)))))))) = 7x1 >= 2x1 = a#(b(b(x1))) a#(a(a(a(b(b(a(a(x1)))))))) = 7x1 >= 3x1 = a#(a(b(b(x1)))) a#(a(a(a(b(b(a(a(x1)))))))) = 7x1 >= 4x1 = b#(a(a(b(b(x1))))) a#(a(a(a(b(b(a(a(x1)))))))) = 7x1 >= 5x1 = b#(b(a(a(b(b(x1)))))) a#(a(a(a(b(b(a(a(x1)))))))) = 7x1 >= 6x1 = a#(b(b(a(a(b(b(x1))))))) a#(a(a(a(b(b(a(a(x1)))))))) = 7x1 >= 7x1 = a#(a(b(b(a(a(b(b(x1)))))))) b(b(b(b(a(a(b(b(x1)))))))) = 8x1 >= 8x1 = b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) = 8x1 >= 8x1 = a(a(b(b(a(a(b(b(x1)))))))) problem: DPs: b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) TRS: b(b(b(b(a(a(b(b(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) EDG Processor: DPs: b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) TRS: b(b(b(b(a(a(b(b(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) graph: a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) -> a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) -> b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) CDG Processor: DPs: b#(b(b(b(a(a(b(b(x1)))))))) -> b#(b(a(a(b(b(a(a(x1)))))))) a#(a(a(a(b(b(a(a(x1)))))))) -> a#(a(b(b(a(a(b(b(x1)))))))) TRS: b(b(b(b(a(a(b(b(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) graph: Qed