68.16/17.78 YES 68.32/17.80 68.32/17.80 Problem: 68.32/17.80 a(x1) -> b(x1) 68.32/17.80 a(a(x1)) -> a(b(a(x1))) 68.32/17.80 a(b(x1)) -> b(b(b(x1))) 68.32/17.80 a(a(a(x1))) -> a(a(b(a(a(x1))))) 68.32/17.80 a(a(b(x1))) -> a(b(b(a(b(x1))))) 68.32/17.80 a(b(a(x1))) -> b(a(b(b(a(x1))))) 68.32/17.80 a(b(b(x1))) -> b(b(b(b(b(x1))))) 68.32/17.80 a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1))))))) 68.32/17.80 a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1))))))) 68.32/17.80 a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1))))))) 68.32/17.80 a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1))))))) 68.32/17.80 a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1))))))) 68.32/17.80 a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1))))))) 68.32/17.80 a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1))))))) 68.32/17.80 a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) 68.32/17.80 68.32/17.80 Proof: 68.32/17.80 String Reversal Processor: 68.32/17.80 a(x1) -> b(x1) 68.32/17.80 a(a(x1)) -> a(b(a(x1))) 68.32/17.80 b(a(x1)) -> b(b(b(x1))) 68.32/17.80 a(a(a(x1))) -> a(a(b(a(a(x1))))) 68.32/17.80 b(a(a(x1))) -> b(a(b(b(a(x1))))) 68.32/17.80 a(b(a(x1))) -> a(b(b(a(b(x1))))) 68.32/17.80 b(b(a(x1))) -> b(b(b(b(b(x1))))) 68.32/17.80 a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1))))))) 68.32/17.80 b(a(a(a(x1)))) -> b(a(a(b(b(a(a(x1))))))) 68.32/17.80 a(b(a(a(x1)))) -> a(b(a(b(a(b(a(x1))))))) 68.32/17.80 b(b(a(a(x1)))) -> b(b(a(b(b(b(a(x1))))))) 68.32/17.80 a(a(b(a(x1)))) -> a(a(b(b(a(a(b(x1))))))) 68.32/17.80 b(a(b(a(x1)))) -> b(a(b(b(b(a(b(x1))))))) 68.32/17.80 a(b(b(a(x1)))) -> a(b(b(b(a(b(b(x1))))))) 68.32/17.80 b(b(b(a(x1)))) -> b(b(b(b(b(b(b(x1))))))) 68.32/17.80 Matrix Interpretation Processor: dim=3 68.32/17.80 68.32/17.80 interpretation: 68.32/17.80 [1 0 0] 68.32/17.80 [b](x0) = [0 0 0]x0 68.32/17.80 [0 0 0] , 68.32/17.80 68.32/17.80 [1 1 0] [0] 68.32/17.80 [a](x0) = [0 0 1]x0 + [0] 68.32/17.80 [0 0 0] [1] 68.32/17.80 orientation: 68.32/17.80 [1 1 0] [0] [1 0 0] 68.32/17.80 a(x1) = [0 0 1]x1 + [0] >= [0 0 0]x1 = b(x1) 68.32/17.80 [0 0 0] [1] [0 0 0] 68.32/17.80 68.32/17.80 [1 1 1] [0] [1 1 0] [0] 68.32/17.80 a(a(x1)) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [0] = a(b(a(x1))) 68.32/17.80 [0 0 0] [1] [0 0 0] [1] 68.32/17.80 68.32/17.80 [1 1 0] [1 0 0] 68.32/17.80 b(a(x1)) = [0 0 0]x1 >= [0 0 0]x1 = b(b(b(x1))) 68.32/17.80 [0 0 0] [0 0 0] 68.32/17.80 68.32/17.80 [1 1 1] [1] [1 1 1] [0] 68.32/17.80 a(a(a(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(a(b(a(a(x1))))) 68.32/17.80 [0 0 0] [1] [0 0 0] [1] 68.32/17.80 68.32/17.80 [1 1 1] [1 1 0] 68.32/17.80 b(a(a(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(a(b(b(a(x1))))) 68.32/17.80 [0 0 0] [0 0 0] 68.32/17.80 68.32/17.80 [1 1 0] [0] [1 0 0] [0] 68.32/17.80 a(b(a(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(b(b(a(b(x1))))) 68.32/17.80 [0 0 0] [1] [0 0 0] [1] 68.32/17.80 68.32/17.80 [1 1 0] [1 0 0] 68.32/17.80 b(b(a(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b(b(b(b(x1))))) 68.32/17.80 [0 0 0] [0 0 0] 68.32/17.80 68.32/17.80 [1 1 1] [2] [1 1 1] [2] 68.32/17.80 a(a(a(a(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(a(a(b(a(a(a(x1))))))) 68.32/17.80 [0 0 0] [1] [0 0 0] [1] 68.32/17.80 68.32/17.80 [1 1 1] [1] [1 1 1] 68.32/17.80 b(a(a(a(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = b(a(a(b(b(a(a(x1))))))) 68.32/17.80 [0 0 0] [0] [0 0 0] 68.32/17.80 68.32/17.80 [1 1 1] [0] [1 1 0] [0] 68.32/17.80 a(b(a(a(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(b(a(b(a(b(a(x1))))))) 68.32/17.80 [0 0 0] [1] [0 0 0] [1] 68.32/17.80 68.32/17.80 [1 1 1] [1 1 0] 68.32/17.80 b(b(a(a(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(b(a(b(b(b(a(x1))))))) 68.32/17.80 [0 0 0] [0 0 0] 68.32/17.80 68.32/17.80 [1 1 0] [0] [1 0 0] [0] 68.32/17.80 a(a(b(a(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(a(b(b(a(a(b(x1))))))) 68.32/17.80 [0 0 0] [1] [0 0 0] [1] 68.32/17.80 68.32/17.80 [1 1 0] [1 0 0] 68.32/17.80 b(a(b(a(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a(b(b(b(a(b(x1))))))) 68.32/17.80 [0 0 0] [0 0 0] 68.32/17.81 68.32/17.81 [1 1 0] [0] [1 0 0] [0] 68.32/17.81 a(b(b(a(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(b(b(b(a(b(b(x1))))))) 68.32/17.81 [0 0 0] [1] [0 0 0] [1] 68.32/17.81 68.32/17.81 [1 1 0] [1 0 0] 68.32/17.81 b(b(b(a(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(b(b(b(b(b(b(x1))))))) 68.32/17.81 [0 0 0] [0 0 0] 68.32/17.81 problem: 68.32/17.81 a(x1) -> b(x1) 68.32/17.81 a(a(x1)) -> a(b(a(x1))) 68.32/17.81 b(a(x1)) -> b(b(b(x1))) 68.32/17.81 b(a(a(x1))) -> b(a(b(b(a(x1))))) 68.32/17.81 a(b(a(x1))) -> a(b(b(a(b(x1))))) 68.32/17.81 b(b(a(x1))) -> b(b(b(b(b(x1))))) 68.32/17.81 a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1))))))) 68.32/17.81 a(b(a(a(x1)))) -> a(b(a(b(a(b(a(x1))))))) 68.32/17.81 b(b(a(a(x1)))) -> b(b(a(b(b(b(a(x1))))))) 68.32/17.81 a(a(b(a(x1)))) -> a(a(b(b(a(a(b(x1))))))) 68.32/17.81 b(a(b(a(x1)))) -> b(a(b(b(b(a(b(x1))))))) 68.32/17.81 a(b(b(a(x1)))) -> a(b(b(b(a(b(b(x1))))))) 68.32/17.81 b(b(b(a(x1)))) -> b(b(b(b(b(b(b(x1))))))) 68.32/17.81 String Reversal Processor: 68.32/17.81 a(x1) -> b(x1) 68.32/17.81 a(a(x1)) -> a(b(a(x1))) 68.32/17.81 a(b(x1)) -> b(b(b(x1))) 68.32/17.81 a(a(b(x1))) -> a(b(b(a(b(x1))))) 68.32/17.81 a(b(a(x1))) -> b(a(b(b(a(x1))))) 68.32/17.81 a(b(b(x1))) -> b(b(b(b(b(x1))))) 68.32/17.81 a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1))))))) 68.32/17.81 a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1))))))) 68.32/17.81 a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1))))))) 68.32/17.81 a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1))))))) 68.32/17.81 a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1))))))) 68.32/17.81 a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1))))))) 68.32/17.81 a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) 68.32/17.81 Matrix Interpretation Processor: dim=4 68.32/17.81 68.32/17.81 interpretation: 68.32/17.81 [1 0 0 0] 68.32/17.81 [0 0 0 0] 68.32/17.81 [b](x0) = [0 0 0 0]x0 68.32/17.81 [0 0 0 0] , 68.32/17.81 68.32/17.81 [1 1 0 0] [0] 68.32/17.81 [0 0 1 1] [0] 68.32/17.81 [a](x0) = [0 0 0 1]x0 + [0] 68.32/17.81 [0 0 0 0] [1] 68.32/17.81 orientation: 68.32/17.81 [1 1 0 0] [0] [1 0 0 0] 68.32/17.81 [0 0 1 1] [0] [0 0 0 0] 68.32/17.81 a(x1) = [0 0 0 1]x1 + [0] >= [0 0 0 0]x1 = b(x1) 68.32/17.81 [0 0 0 0] [1] [0 0 0 0] 68.32/17.81 68.32/17.81 [1 1 1 1] [0] [1 1 0 0] [0] 68.32/17.81 [0 0 0 1] [1] [0 0 0 0] [0] 68.32/17.81 a(a(x1)) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 + [0] = a(b(a(x1))) 68.32/17.81 [0 0 0 0] [1] [0 0 0 0] [1] 68.32/17.81 68.32/17.81 [1 0 0 0] [0] [1 0 0 0] 68.32/17.81 [0 0 0 0] [0] [0 0 0 0] 68.32/17.81 a(b(x1)) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(b(b(x1))) 68.32/17.81 [0 0 0 0] [1] [0 0 0 0] 68.32/17.81 68.32/17.81 [1 0 0 0] [0] [1 0 0 0] [0] 68.32/17.81 [0 0 0 0] [1] [0 0 0 0] [0] 68.32/17.81 a(a(b(x1))) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 + [0] = a(b(b(a(b(x1))))) 68.32/17.81 [0 0 0 0] [1] [0 0 0 0] [1] 68.32/17.81 68.32/17.81 [1 1 0 0] [0] [1 1 0 0] 68.32/17.81 [0 0 0 0] [0] [0 0 0 0] 68.32/17.81 a(b(a(x1))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(a(b(b(a(x1))))) 68.32/17.81 [0 0 0 0] [1] [0 0 0 0] 68.32/17.81 68.32/17.81 [1 0 0 0] [0] [1 0 0 0] 68.32/17.81 [0 0 0 0] [0] [0 0 0 0] 68.32/17.81 a(b(b(x1))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(b(b(b(b(x1))))) 68.32/17.81 [0 0 0 0] [1] [0 0 0 0] 68.32/17.81 68.32/17.81 [1 1 1 2] [3] [1 1 1 2] [2] 68.32/17.81 [0 0 0 0] [2] [0 0 0 0] [2] 68.32/17.81 a(a(a(a(x1)))) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 + [1] = a(a(a(b(a(a(a(x1))))))) 68.32/17.81 [0 0 0 0] [1] [0 0 0 0] [1] 68.32/17.81 68.32/17.81 [1 1 0 0] [0] [1 1 0 0] [0] 68.32/17.81 [0 0 0 0] [1] [0 0 0 0] [0] 68.35/17.82 a(a(b(a(x1)))) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 + [0] = a(b(a(b(a(b(a(x1))))))) 68.35/17.82 [0 0 0 0] [1] [0 0 0 0] [1] 68.35/17.82 68.35/17.82 [1 0 0 0] [0] [1 0 0 0] [0] 68.35/17.82 [0 0 0 0] [1] [0 0 0 0] [0] 68.35/17.82 a(a(b(b(x1)))) = [0 0 0 0]x1 + [1] >= [0 0 0 0]x1 + [0] = a(b(b(b(a(b(b(x1))))))) 68.35/17.82 [0 0 0 0] [1] [0 0 0 0] [1] 68.35/17.82 68.35/17.82 [1 1 1 1] [0] [1 1 1 1] 68.35/17.82 [0 0 0 0] [0] [0 0 0 0] 68.35/17.82 a(b(a(a(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(a(a(b(b(a(a(x1))))))) 68.35/17.82 [0 0 0 0] [1] [0 0 0 0] 68.35/17.82 68.35/17.82 [1 0 0 0] [0] [1 0 0 0] 68.35/17.82 [0 0 0 0] [0] [0 0 0 0] 68.35/17.82 a(b(a(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(a(b(b(b(a(b(x1))))))) 68.35/17.82 [0 0 0 0] [1] [0 0 0 0] 68.35/17.82 68.35/17.82 [1 1 0 0] [0] [1 1 0 0] 68.35/17.82 [0 0 0 0] [0] [0 0 0 0] 68.35/17.82 a(b(b(a(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(b(a(b(b(b(a(x1))))))) 68.35/17.82 [0 0 0 0] [1] [0 0 0 0] 68.35/17.82 68.35/17.82 [1 0 0 0] [0] [1 0 0 0] 68.35/17.82 [0 0 0 0] [0] [0 0 0 0] 68.35/17.82 a(b(b(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(b(b(b(b(b(b(x1))))))) 68.35/17.82 [0 0 0 0] [1] [0 0 0 0] 68.35/17.82 problem: 68.35/17.82 a(x1) -> b(x1) 68.35/17.82 a(a(x1)) -> a(b(a(x1))) 68.35/17.82 a(b(x1)) -> b(b(b(x1))) 68.35/17.82 a(a(b(x1))) -> a(b(b(a(b(x1))))) 68.35/17.82 a(b(a(x1))) -> b(a(b(b(a(x1))))) 68.35/17.82 a(b(b(x1))) -> b(b(b(b(b(x1))))) 68.35/17.82 a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1))))))) 68.35/17.82 a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1))))))) 68.35/17.82 a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1))))))) 68.35/17.82 a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1))))))) 68.35/17.82 a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1))))))) 68.35/17.82 a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) 68.35/17.82 Matrix Interpretation Processor: dim=3 68.35/17.82 68.35/17.82 interpretation: 68.35/17.82 [1 0 0] 68.35/17.82 [b](x0) = [0 0 1]x0 68.35/17.82 [0 0 0] , 68.35/17.82 68.35/17.82 [1 1 1] [0] 68.35/17.82 [a](x0) = [0 1 1]x0 + [0] 68.35/17.82 [0 0 0] [1] 68.35/17.82 orientation: 68.35/17.82 [1 1 1] [0] [1 0 0] 68.35/17.82 a(x1) = [0 1 1]x1 + [0] >= [0 0 1]x1 = b(x1) 68.35/17.82 [0 0 0] [1] [0 0 0] 68.35/17.82 68.35/17.82 [1 2 2] [1] [1 1 1] [1] 68.35/17.82 a(a(x1)) = [0 1 1]x1 + [1] >= [0 0 0]x1 + [1] = a(b(a(x1))) 68.35/17.82 [0 0 0] [1] [0 0 0] [1] 68.35/17.82 68.35/17.82 [1 0 1] [0] [1 0 0] 68.35/17.82 a(b(x1)) = [0 0 1]x1 + [0] >= [0 0 0]x1 = b(b(b(x1))) 68.35/17.82 [0 0 0] [1] [0 0 0] 68.35/17.82 68.35/17.82 [1 0 2] [1] [1 0 1] [0] 68.35/17.82 a(a(b(x1))) = [0 0 1]x1 + [1] >= [0 0 0]x1 + [0] = a(b(b(a(b(x1))))) 68.35/17.82 [0 0 0] [1] [0 0 0] [1] 68.35/17.82 68.35/17.82 [1 1 1] [1] [1 1 1] [0] 68.35/17.82 a(b(a(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(a(b(b(a(x1))))) 68.35/17.82 [0 0 0] [1] [0 0 0] [0] 68.35/17.82 68.35/17.82 [1 0 0] [0] [1 0 0] 68.35/17.82 a(b(b(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = b(b(b(b(b(x1))))) 68.35/17.82 [0 0 0] [1] [0 0 0] 68.35/17.82 68.35/17.82 [1 1 1] [3] [1 1 1] [3] 68.35/17.82 a(a(b(a(x1)))) = [0 0 0]x1 + [2] >= [0 0 0]x1 + [1] = a(b(a(b(a(b(a(x1))))))) 68.36/17.83 [0 0 0] [1] [0 0 0] [1] 68.36/17.83 68.36/17.83 [1 0 0] [1] [1 0 0] [0] 68.36/17.83 a(a(b(b(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [0] = a(b(b(b(a(b(b(x1))))))) 68.36/17.83 [0 0 0] [1] [0 0 0] [1] 68.36/17.83 68.36/17.83 [1 2 2] [2] [1 2 2] [2] 68.36/17.83 a(b(a(a(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(a(a(b(b(a(a(x1))))))) 68.36/17.83 [0 0 0] [1] [0 0 0] [0] 68.36/17.83 68.36/17.83 [1 0 1] [1] [1 0 1] [0] 68.36/17.83 a(b(a(b(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(a(b(b(b(a(b(x1))))))) 68.36/17.83 [0 0 0] [1] [0 0 0] [0] 68.36/17.83 68.36/17.83 [1 1 1] [0] [1 1 1] 68.36/17.83 a(b(b(a(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = b(b(a(b(b(b(a(x1))))))) 68.36/17.83 [0 0 0] [1] [0 0 0] 68.36/17.83 68.36/17.83 [1 0 0] [0] [1 0 0] 68.36/17.83 a(b(b(b(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = b(b(b(b(b(b(b(x1))))))) 68.36/17.83 [0 0 0] [1] [0 0 0] 68.36/17.83 problem: 68.36/17.83 a(x1) -> b(x1) 68.36/17.83 a(a(x1)) -> a(b(a(x1))) 68.36/17.83 a(b(x1)) -> b(b(b(x1))) 68.36/17.83 a(b(b(x1))) -> b(b(b(b(b(x1))))) 68.36/17.83 a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1))))))) 68.36/17.83 a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1))))))) 68.36/17.83 a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1))))))) 68.36/17.83 a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) 68.36/17.83 Matrix Interpretation Processor: dim=4 68.36/17.83 68.36/17.83 interpretation: 68.36/17.83 [1 0 0 0] 68.36/17.83 [0 0 0 0] 68.36/17.83 [b](x0) = [0 1 0 0]x0 68.36/17.83 [0 0 0 0] , 68.36/17.83 68.36/17.83 [1 0 1 0] [0] 68.36/17.83 [0 0 0 1] [0] 68.36/17.83 [a](x0) = [0 1 1 1]x0 + [0] 68.36/17.83 [0 0 0 1] [1] 68.36/17.83 orientation: 68.36/17.83 [1 0 1 0] [0] [1 0 0 0] 68.36/17.83 [0 0 0 1] [0] [0 0 0 0] 68.36/17.83 a(x1) = [0 1 1 1]x1 + [0] >= [0 1 0 0]x1 = b(x1) 68.36/17.83 [0 0 0 1] [1] [0 0 0 0] 68.36/17.83 68.36/17.83 [1 1 2 1] [0] [1 0 1 1] [0] 68.36/17.83 [0 0 0 1] [1] [0 0 0 0] [0] 68.36/17.83 a(a(x1)) = [0 1 1 3]x1 + [1] >= [0 0 0 1]x1 + [0] = a(b(a(x1))) 68.36/17.83 [0 0 0 1] [2] [0 0 0 0] [1] 68.36/17.83 68.36/17.83 [1 1 0 0] [0] [1 0 0 0] 68.36/17.83 [0 0 0 0] [0] [0 0 0 0] 68.36/17.83 a(b(x1)) = [0 1 0 0]x1 + [0] >= [0 0 0 0]x1 = b(b(b(x1))) 68.36/17.83 [0 0 0 0] [1] [0 0 0 0] 68.36/17.83 68.36/17.83 [1 0 0 0] [0] [1 0 0 0] 68.36/17.83 [0 0 0 0] [0] [0 0 0 0] 68.36/17.83 a(b(b(x1))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(b(b(b(b(x1))))) 68.36/17.83 [0 0 0 0] [1] [0 0 0 0] 68.36/17.83 68.36/17.83 [1 0 1 2] [0] [1 0 1 1] [0] 68.36/17.83 [0 0 0 0] [1] [0 0 0 0] [0] 68.36/17.83 a(a(b(a(x1)))) = [0 0 0 1]x1 + [1] >= [0 0 0 0]x1 + [0] = a(b(a(b(a(b(a(x1))))))) 68.36/17.83 [0 0 0 0] [2] [0 0 0 0] [1] 68.36/17.83 68.36/17.83 [1 1 2 2] [1] [1 1 2 1] [0] 68.36/17.83 [0 0 0 0] [0] [0 0 0 0] [0] 68.36/17.83 a(b(a(a(x1)))) = [0 0 0 1]x1 + [1] >= [0 0 0 0]x1 + [1] = b(a(a(b(b(a(a(x1))))))) 68.36/17.83 [0 0 0 0] [1] [0 0 0 0] [0] 68.36/17.83 68.36/17.83 [1 0 1 0] [0] [1 0 1 0] 68.36/17.83 [0 0 0 0] [0] [0 0 0 0] 68.36/17.84 a(b(b(a(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(b(a(b(b(b(a(x1))))))) 68.36/17.84 [0 0 0 0] [1] [0 0 0 0] 68.36/17.84 68.36/17.84 [1 0 0 0] [0] [1 0 0 0] 68.36/17.84 [0 0 0 0] [0] [0 0 0 0] 68.36/17.84 a(b(b(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = b(b(b(b(b(b(b(x1))))))) 68.36/17.84 [0 0 0 0] [1] [0 0 0 0] 68.36/17.84 problem: 68.36/17.84 a(x1) -> b(x1) 68.36/17.84 a(a(x1)) -> a(b(a(x1))) 68.36/17.84 a(b(x1)) -> b(b(b(x1))) 68.36/17.84 a(b(b(x1))) -> b(b(b(b(b(x1))))) 68.36/17.84 a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1))))))) 68.36/17.84 a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1))))))) 68.36/17.84 a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) 68.36/17.84 Bounds Processor: 68.36/17.84 bound: 2 68.36/17.84 enrichment: match 68.36/17.84 automaton: 68.36/17.84 final states: {19,14,10,8,6,3,1} 68.36/17.84 transitions: 68.36/17.84 f20() -> 2* 68.36/17.84 b0(20) -> 19* 68.36/17.84 b0(15) -> 16* 68.36/17.84 b0(5) -> 15* 68.36/17.84 b0(17) -> 18* 68.36/17.84 b0(12) -> 13* 68.36/17.84 b0(7) -> 6* 68.36/17.84 b0(2) -> 1* 68.36/17.84 b0(9) -> 8* 68.36/17.84 b0(4) -> 5* 68.36/17.84 b0(6) -> 9* 68.36/17.84 b0(1) -> 7* 68.36/17.84 b0(18) -> 14* 68.36/17.84 b0(8) -> 20* 68.36/17.84 b0(3) -> 11* 68.36/17.84 a0(5) -> 3* 68.36/17.84 a0(2) -> 4* 68.36/17.84 a0(16) -> 17* 68.36/17.84 a0(11) -> 12* 68.36/17.84 a0(13) -> 10* 68.36/17.84 b1(70) -> 71* 68.36/17.84 b1(65) -> 66* 68.36/17.84 b1(50) -> 51* 68.36/17.84 b1(25) -> 26* 68.36/17.84 b1(72) -> 73* 68.36/17.84 b1(62) -> 63* 68.36/17.84 b1(42) -> 43* 68.36/17.84 b1(54) -> 55* 68.36/17.84 b1(39) -> 40* 68.36/17.84 b1(71) -> 72* 68.36/17.84 b1(51) -> 52* 68.36/17.84 b1(41) -> 42* 68.36/17.84 b1(31) -> 32* 68.36/17.84 b1(63) -> 64* 68.36/17.84 b1(53) -> 54* 68.36/17.84 b1(33) -> 34* 68.36/17.84 b1(23) -> 24* 68.36/17.84 a1(69) -> 70* 68.36/17.84 a1(73) -> 74* 68.36/17.84 b2(102) -> 103* 68.36/17.84 b2(87) -> 88* 68.36/17.84 b2(89) -> 90* 68.36/17.84 b2(101) -> 102* 68.36/17.84 b2(96) -> 97* 68.36/17.84 b2(83) -> 84* 68.36/17.84 b2(95) -> 96* 68.36/17.84 b2(90) -> 91* 68.36/17.84 2 -> 23* 68.36/17.84 3 -> 4,62,53 68.36/17.84 4 -> 62* 68.36/17.84 5 -> 69,39 68.36/17.84 11 -> 25* 68.36/17.84 12 -> 50* 68.36/17.84 13 -> 31* 68.36/17.84 15 -> 41* 68.36/17.84 16 -> 33* 68.36/17.84 24 -> 4* 68.36/17.84 26 -> 12* 68.36/17.84 32 -> 65,10 68.36/17.84 34 -> 17* 68.36/17.84 40 -> 70,3 68.36/17.84 43 -> 33* 68.36/17.84 51 -> 17* 68.36/17.84 52 -> 31* 68.36/17.84 54 -> 70,3,53 68.36/17.84 55 -> 25* 68.36/17.84 64 -> 39* 68.36/17.84 66 -> 10* 68.36/17.84 69 -> 87* 68.36/17.84 70 -> 101* 68.36/17.84 71 -> 95* 68.36/17.84 72 -> 89* 68.36/17.84 73 -> 83* 68.36/17.84 74 -> 54* 68.36/17.84 84 -> 74,54 68.36/17.84 88 -> 70* 68.36/17.84 91 -> 83* 68.36/17.84 97 -> 89* 68.36/17.84 103 -> 95* 68.36/17.84 problem: 68.36/17.84 68.36/17.84 Qed 68.36/17.84 EOF