52.64/14.23 YES 52.64/14.24 52.64/14.24 Problem: 52.64/14.24 strict: 52.64/14.24 c(c(a(x1))) -> b(a(c(x1))) 52.64/14.24 b(b(b(x1))) -> a(a(a(x1))) 52.64/14.24 weak: 52.64/14.24 c(a(b(x1))) -> a(a(a(x1))) 52.64/14.24 c(a(b(x1))) -> a(c(a(x1))) 52.64/14.24 c(b(c(x1))) -> c(b(b(x1))) 52.64/14.24 b(a(b(x1))) -> b(b(c(x1))) 52.64/14.24 52.64/14.24 Proof: 52.64/14.24 Root-Labeling Processor: 52.64/14.24 strict: 52.64/14.24 c(c)(c(c)(c(a)(a(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) 52.64/14.24 c(c)(c(c)(c(a)(a(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) 52.64/14.24 c(c)(c(c)(c(a)(a(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) 52.64/14.24 a(c)(c(c)(c(a)(a(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) 52.64/14.24 a(c)(c(c)(c(a)(a(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) 52.64/14.24 a(c)(c(c)(c(a)(a(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) 52.64/14.24 b(c)(c(c)(c(a)(a(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) 52.64/14.24 b(c)(c(c)(c(a)(a(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) 52.64/14.24 b(c)(c(c)(c(a)(a(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) 52.64/14.24 c(b)(b(b)(b(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 c(b)(b(b)(b(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 c(b)(b(b)(b(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 a(b)(b(b)(b(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 b(b)(b(b)(b(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 weak: 52.64/14.24 c(c)(c(a)(a(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 c(c)(c(a)(a(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 c(c)(c(a)(a(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 a(c)(c(a)(a(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 a(c)(c(a)(a(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 a(c)(c(a)(a(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 b(c)(c(a)(a(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 b(c)(c(a)(a(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 c(c)(c(a)(a(b)(b(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) 52.64/14.24 c(c)(c(a)(a(b)(b(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) 52.64/14.24 c(c)(c(a)(a(b)(b(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) 52.64/14.24 a(c)(c(a)(a(b)(b(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) 52.64/14.24 a(c)(c(a)(a(b)(b(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) 52.64/14.24 a(c)(c(a)(a(b)(b(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) 52.64/14.24 b(c)(c(a)(a(b)(b(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) 52.64/14.24 b(c)(c(a)(a(b)(b(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) 52.64/14.24 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) 52.64/14.24 c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) 52.64/14.24 c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) 52.64/14.24 c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) 52.64/14.24 b(a)(a(b)(b(c)(x1))) -> b(b)(b(c)(c(c)(x1))) 52.64/14.24 b(a)(a(b)(b(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 52.64/14.24 b(a)(a(b)(b(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 52.64/14.24 RT Transformation Processor: 52.64/14.24 c(c)(c(c)(c(a)(a(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) 52.64/14.24 c(c)(c(c)(c(a)(a(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) 52.64/14.24 c(c)(c(c)(c(a)(a(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) 52.64/14.24 a(c)(c(c)(c(a)(a(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) 52.64/14.24 a(c)(c(c)(c(a)(a(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) 52.64/14.24 a(c)(c(c)(c(a)(a(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) 52.64/14.24 b(c)(c(c)(c(a)(a(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) 52.64/14.24 b(c)(c(c)(c(a)(a(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) 52.64/14.24 b(c)(c(c)(c(a)(a(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) 52.64/14.24 c(b)(b(b)(b(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 c(b)(b(b)(b(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 c(b)(b(b)(b(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 a(b)(b(b)(b(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 b(b)(b(b)(b(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 c(c)(c(a)(a(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 c(c)(c(a)(a(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.24 c(c)(c(a)(a(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.24 a(c)(c(a)(a(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.24 a(c)(c(a)(a(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.25 a(c)(c(a)(a(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.25 b(c)(c(a)(a(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 52.64/14.25 b(c)(c(a)(a(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 52.64/14.25 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 52.64/14.25 c(c)(c(a)(a(b)(b(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) 52.64/14.25 c(c)(c(a)(a(b)(b(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) 52.64/14.25 c(c)(c(a)(a(b)(b(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) 52.64/14.25 a(c)(c(a)(a(b)(b(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) 52.64/14.25 a(c)(c(a)(a(b)(b(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) 52.64/14.25 a(c)(c(a)(a(b)(b(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) 52.64/14.25 b(c)(c(a)(a(b)(b(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) 52.64/14.25 b(c)(c(a)(a(b)(b(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) 52.64/14.25 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) 52.64/14.25 c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) 52.64/14.25 c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) 52.64/14.25 c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) 52.64/14.25 b(a)(a(b)(b(c)(x1))) -> b(b)(b(c)(c(c)(x1))) 52.64/14.25 b(a)(a(b)(b(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 52.64/14.25 b(a)(a(b)(b(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 52.64/14.25 Matrix Interpretation Processor: dim=3 52.64/14.25 52.64/14.25 interpretation: 52.64/14.25 [1 0 0] 52.64/14.25 [b(b)](x0) = [0 0 0]x0 52.64/14.25 [1 0 0] , 52.64/14.25 52.64/14.25 [1 1 0] [0] 52.64/14.25 [b(c)](x0) = [0 0 1]x0 + [1] 52.64/14.25 [1 0 0] [0], 52.64/14.25 52.64/14.25 [1 0 0] 52.64/14.25 [a(b)](x0) = [0 0 0]x0 52.64/14.25 [0 1 0] , 52.64/14.25 52.64/14.25 [1 0 0] 52.64/14.25 [a(a)](x0) = [0 0 0]x0 52.64/14.25 [0 0 0] , 52.64/14.25 52.64/14.25 [1 0 1] 52.64/14.25 [b(a)](x0) = [0 0 0]x0 52.64/14.25 [1 0 0] , 52.64/14.25 52.64/14.25 [1 0 0] 52.64/14.25 [c(b)](x0) = [0 0 0]x0 52.64/14.25 [0 0 0] , 52.64/14.25 52.64/14.25 [1 0 0] 52.64/14.25 [a(c)](x0) = [0 0 0]x0 52.64/14.25 [0 0 0] , 52.64/14.25 52.64/14.25 [1 0 0] 52.64/14.25 [c(a)](x0) = [0 0 1]x0 52.64/14.25 [0 0 0] , 52.64/14.25 52.64/14.25 [1 0 0] 52.64/14.25 [c(c)](x0) = [0 1 0]x0 52.64/14.25 [0 0 0] 52.64/14.25 orientation: 52.64/14.25 [1 0 0] [1 0 0] 52.64/14.25 c(c)(c(c)(c(a)(a(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(a)(a(c)(c(c)(x1)))) 52.64/14.25 [0 0 0] [0 0 0] 52.64/14.25 52.64/14.25 [1 0 0] [1 0 0] 52.64/14.25 c(c)(c(c)(c(a)(a(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(a)(a(c)(c(a)(x1)))) 52.64/14.25 [0 0 0] [0 0 0] 52.64/14.25 52.64/14.25 [1 0 0] [1 0 0] 52.64/14.25 c(c)(c(c)(c(a)(a(b)(x1)))) = [0 1 0]x1 >= [0 0 0]x1 = c(b)(b(a)(a(c)(c(b)(x1)))) 52.64/14.25 [0 0 0] [0 0 0] 52.64/14.25 52.64/14.25 [1 0 0] [1 0 0] 52.64/14.25 a(c)(c(c)(c(a)(a(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(b)(b(a)(a(c)(c(c)(x1)))) 52.64/14.25 [0 0 0] [0 0 0] 52.64/14.25 52.64/14.25 [1 0 0] [1 0 0] 52.64/14.25 a(c)(c(c)(c(a)(a(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(b)(b(a)(a(c)(c(a)(x1)))) 52.64/14.25 [0 0 0] [0 0 0] 52.64/14.25 52.64/14.25 [1 0 0] [1 0 0] 52.64/14.25 a(c)(c(c)(c(a)(a(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(b)(b(a)(a(c)(c(b)(x1)))) 52.64/14.25 [0 0 0] [0 0 0] 52.64/14.25 52.64/14.25 [1 0 0] [0] [1 0 0] 52.64/14.25 b(c)(c(c)(c(a)(a(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(b)(b(a)(a(c)(c(c)(x1)))) 52.64/14.25 [1 0 0] [0] [1 0 0] 52.64/14.25 52.64/14.25 [1 0 0] [0] [1 0 0] 52.64/14.25 b(c)(c(c)(c(a)(a(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(b)(b(a)(a(c)(c(a)(x1)))) 52.64/14.25 [1 0 0] [0] [1 0 0] 53.36/14.26 53.36/14.26 [1 1 0] [0] [1 0 0] 53.36/14.26 b(c)(c(c)(c(a)(a(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(b)(b(a)(a(c)(c(b)(x1)))) 53.36/14.26 [1 0 0] [0] [1 0 0] 53.36/14.26 53.36/14.26 [1 1 0] [1 0 0] 53.36/14.26 c(b)(b(b)(b(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(c)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 0 1] [1 0 0] 53.36/14.26 c(b)(b(b)(b(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(a)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 0 0] [1 0 0] 53.36/14.26 c(b)(b(b)(b(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(b)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 1 0] [1 0 0] 53.36/14.26 a(b)(b(b)(b(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(c)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 0 1] [1 0 0] 53.36/14.26 a(b)(b(b)(b(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(a)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 0 0] [1 0 0] 53.36/14.26 a(b)(b(b)(b(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(b)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 1 0] [1 0 0] 53.36/14.26 b(b)(b(b)(b(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(c)(x1)))) 53.36/14.26 [1 1 0] [1 0 0] 53.36/14.26 53.36/14.26 [1 0 1] [1 0 0] 53.36/14.26 b(b)(b(b)(b(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(a)(x1)))) 53.36/14.26 [1 0 1] [1 0 0] 53.36/14.26 53.36/14.26 [1 0 0] [1 0 0] 53.36/14.26 b(b)(b(b)(b(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(b)(x1)))) 53.36/14.26 [1 0 0] [1 0 0] 53.36/14.26 53.36/14.26 [1 1 0] [0] [1 0 0] 53.36/14.26 c(c)(c(a)(a(b)(b(c)(x1)))) = [0 0 1]x1 + [1] >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(c)(x1)))) 53.36/14.26 [0 0 0] [0] [0 0 0] 53.36/14.26 53.36/14.26 [1 0 1] [1 0 0] 53.36/14.26 c(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(a)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 0 0] [1 0 0] 53.36/14.26 c(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(b)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 1 0] [1 0 0] 53.36/14.26 a(c)(c(a)(a(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(c)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 0 1] [1 0 0] 53.36/14.26 a(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(a)(x1)))) 53.36/14.26 [0 0 0] [0 0 0] 53.36/14.26 53.36/14.26 [1 0 0] [1 0 0] 53.38/14.27 a(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.27 [0 0 0] [0 0 0] 53.38/14.27 53.38/14.27 [1 1 1] [1] [1 0 0] 53.38/14.27 b(c)(c(a)(a(b)(b(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.27 [1 1 0] [0] [1 0 0] 53.38/14.27 53.38/14.27 [1 0 1] [0] [1 0 0] 53.38/14.27 b(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.27 [1 0 1] [0] [1 0 0] 53.38/14.27 53.38/14.27 [1 0 0] [0] [1 0 0] 53.38/14.27 b(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.27 [1 0 0] [0] [1 0 0] 53.38/14.27 53.38/14.27 [1 1 0] [0] [1 0 0] 53.38/14.27 c(c)(c(a)(a(b)(b(c)(x1)))) = [0 0 1]x1 + [1] >= [0 0 0]x1 = c(a)(a(c)(c(a)(a(c)(x1)))) 53.38/14.27 [0 0 0] [0] [0 0 0] 53.38/14.27 53.38/14.27 [1 0 1] [1 0 0] 53.38/14.27 c(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(c)(c(a)(a(a)(x1)))) 53.38/14.27 [0 0 0] [0 0 0] 53.38/14.27 53.38/14.27 [1 0 0] [1 0 0] 53.38/14.27 c(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(c)(c(a)(a(b)(x1)))) 53.38/14.27 [0 0 0] [0 0 0] 53.38/14.27 53.38/14.27 [1 1 0] [1 0 0] 53.38/14.27 a(c)(c(a)(a(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(a)(a(c)(x1)))) 53.38/14.27 [0 0 0] [0 0 0] 53.38/14.27 53.38/14.27 [1 0 1] [1 0 0] 53.38/14.27 a(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(a)(a(a)(x1)))) 53.38/14.27 [0 0 0] [0 0 0] 53.38/14.27 53.38/14.27 [1 0 0] [1 0 0] 53.38/14.27 a(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(a)(a(b)(x1)))) 53.38/14.27 [0 0 0] [0 0 0] 53.38/14.27 53.38/14.27 [1 1 1] [1] [1 0 0] 53.38/14.27 b(c)(c(a)(a(b)(b(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(c)(c(a)(a(c)(x1)))) 53.38/14.27 [1 1 0] [0] [1 0 0] 53.38/14.27 53.38/14.27 [1 0 1] [0] [1 0 0] 53.38/14.27 b(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(c)(c(a)(a(a)(x1)))) 53.38/14.27 [1 0 1] [0] [1 0 0] 53.38/14.27 53.38/14.27 [1 0 0] [0] [1 0 0] 53.38/14.27 b(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(c)(c(a)(a(b)(x1)))) 53.38/14.27 [1 0 0] [0] [1 0 0] 53.38/14.27 53.38/14.27 [1 1 0] [1 1 0] 53.38/14.27 c(b)(b(c)(c(c)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(b)(b(c)(x1))) 53.38/14.27 [0 0 0] [0 0 0] 53.38/14.27 53.38/14.27 [1 0 1] [1 0 1] 53.38/14.27 c(b)(b(c)(c(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(b)(b(a)(x1))) 53.38/14.27 [0 0 0] [0 0 0] 53.38/14.27 53.38/14.27 [1 0 0] [1 0 0] 53.38/14.27 c(b)(b(c)(c(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(b)(b(b)(x1))) 53.38/14.27 [0 0 0] [0 0 0] 53.38/14.27 53.38/14.27 [1 1 1] [1] [1 1 0] 53.38/14.27 b(a)(a(b)(b(c)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = b(b)(b(c)(c(c)(x1))) 53.38/14.27 [1 1 0] [0] [1 1 0] 53.38/14.27 53.38/14.27 [1 0 1] [1 0 1] 53.38/14.27 b(a)(a(b)(b(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(a)(x1))) 53.38/14.27 [1 0 1] [1 0 1] 53.38/14.27 53.38/14.27 [1 0 0] [1 0 0] 53.38/14.27 b(a)(a(b)(b(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(b)(x1))) 53.38/14.27 [1 0 0] [1 0 0] 53.38/14.27 problem: 53.38/14.27 c(c)(c(c)(c(a)(a(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) 53.38/14.27 c(c)(c(c)(c(a)(a(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) 53.38/14.27 c(c)(c(c)(c(a)(a(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) 53.38/14.27 a(c)(c(c)(c(a)(a(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) 53.38/14.28 a(c)(c(c)(c(a)(a(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) 53.38/14.28 a(c)(c(c)(c(a)(a(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) 53.38/14.28 b(c)(c(c)(c(a)(a(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) 53.38/14.28 b(c)(c(c)(c(a)(a(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) 53.38/14.28 b(c)(c(c)(c(a)(a(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) 53.38/14.28 c(b)(b(b)(b(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.28 c(b)(b(b)(b(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.28 c(b)(b(b)(b(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.28 a(b)(b(b)(b(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.28 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.28 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.28 b(b)(b(b)(b(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.28 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.28 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.28 c(c)(c(a)(a(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.28 c(c)(c(a)(a(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.28 c(c)(c(a)(a(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.28 a(c)(c(a)(a(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.28 a(c)(c(a)(a(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.28 a(c)(c(a)(a(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.28 b(c)(c(a)(a(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.28 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.28 c(c)(c(a)(a(b)(b(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) 53.38/14.28 c(c)(c(a)(a(b)(b(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) 53.38/14.28 c(c)(c(a)(a(b)(b(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) 53.38/14.28 a(c)(c(a)(a(b)(b(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) 53.38/14.28 a(c)(c(a)(a(b)(b(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) 53.38/14.28 a(c)(c(a)(a(b)(b(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) 53.38/14.28 b(c)(c(a)(a(b)(b(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) 53.38/14.28 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) 53.38/14.28 c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) 53.38/14.28 c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) 53.38/14.28 c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) 53.38/14.28 b(a)(a(b)(b(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 53.38/14.28 b(a)(a(b)(b(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 53.38/14.28 Matrix Interpretation Processor: dim=3 53.38/14.28 53.38/14.28 interpretation: 53.38/14.28 [1 0 0] 53.38/14.28 [b(b)](x0) = [0 0 0]x0 53.38/14.28 [0 0 0] , 53.38/14.28 53.38/14.28 [1 0 0] 53.38/14.28 [b(c)](x0) = [1 0 1]x0 53.38/14.28 [0 0 0] , 53.38/14.28 53.38/14.28 [1 0 0] 53.38/14.28 [a(b)](x0) = [0 0 0]x0 53.38/14.28 [0 1 0] , 53.38/14.28 53.38/14.28 [1 0 0] 53.38/14.28 [a(a)](x0) = [0 0 0]x0 53.38/14.28 [0 0 0] , 53.38/14.28 53.38/14.28 [1 0 0] 53.38/14.28 [b(a)](x0) = [0 0 0]x0 53.38/14.28 [0 0 0] , 53.38/14.28 53.38/14.28 [1 0 0] [0] 53.38/14.28 [c(b)](x0) = [0 0 0]x0 + [1] 53.38/14.28 [0 0 0] [0], 53.38/14.28 53.38/14.28 [1 0 0] 53.38/14.28 [a(c)](x0) = [0 0 1]x0 53.38/14.28 [0 0 0] , 53.38/14.28 53.38/14.28 [1 0 0] [0] 53.38/14.28 [c(a)](x0) = [0 0 1]x0 + [1] 53.38/14.28 [0 1 0] [0], 53.38/14.28 53.38/14.28 [1 0 1] 53.38/14.28 [c(c)](x0) = [0 1 0]x0 53.38/14.28 [0 1 0] 53.38/14.28 orientation: 53.38/14.28 [1 0 1] [1] [1 0 1] [0] 53.38/14.28 c(c)(c(c)(c(a)(a(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(a)(a(c)(c(c)(x1)))) 53.38/14.28 [0 0 0] [1] [0 0 0] [0] 53.38/14.28 53.38/14.28 [1 0 0] [1] [1 0 0] [0] 53.38/14.28 c(c)(c(c)(c(a)(a(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(a)(a(c)(c(a)(x1)))) 53.38/14.28 [0 0 0] [1] [0 0 0] [0] 53.38/14.28 53.38/14.28 [1 1 0] [1] [1 0 0] [0] 53.38/14.28 c(c)(c(c)(c(a)(a(b)(x1)))) = [0 1 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(a)(a(c)(c(b)(x1)))) 53.38/14.28 [0 1 0] [1] [0 0 0] [0] 53.38/14.28 53.38/14.28 [1 0 1] [0] [1 0 1] 53.38/14.28 a(c)(c(c)(c(a)(a(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = a(b)(b(a)(a(c)(c(c)(x1)))) 53.38/14.28 [0 0 0] [0] [0 0 0] 53.38/14.28 53.38/14.28 [1 0 0] [0] [1 0 0] 53.38/14.28 a(c)(c(c)(c(a)(a(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = a(b)(b(a)(a(c)(c(a)(x1)))) 53.38/14.28 [0 0 0] [0] [0 0 0] 53.38/14.28 53.38/14.28 [1 0 0] [0] [1 0 0] 53.38/14.28 a(c)(c(c)(c(a)(a(b)(x1)))) = [0 1 0]x1 + [1] >= [0 0 0]x1 = a(b)(b(a)(a(c)(c(b)(x1)))) 53.38/14.28 [0 0 0] [0] [0 0 0] 53.38/14.28 53.38/14.28 [1 0 1] [0] [1 0 1] 53.38/14.28 b(c)(c(c)(c(a)(a(c)(x1)))) = [1 0 1]x1 + [1] >= [0 0 0]x1 = b(b)(b(a)(a(c)(c(c)(x1)))) 53.38/14.28 [0 0 0] [0] [0 0 0] 53.38/14.28 53.38/14.28 [1 0 0] [0] [1 0 0] 53.38/14.28 b(c)(c(c)(c(a)(a(a)(x1)))) = [1 0 0]x1 + [1] >= [0 0 0]x1 = b(b)(b(a)(a(c)(c(a)(x1)))) 53.38/14.28 [0 0 0] [0] [0 0 0] 53.38/14.28 53.38/14.28 [1 0 0] [0] [1 0 0] 53.38/14.28 b(c)(c(c)(c(a)(a(b)(x1)))) = [1 1 0]x1 + [1] >= [0 0 0]x1 = b(b)(b(a)(a(c)(c(b)(x1)))) 53.38/14.28 [0 0 0] [0] [0 0 0] 53.38/14.28 53.38/14.28 [1 0 0] [0] [1 0 0] [0] 53.38/14.28 c(b)(b(b)(b(b)(b(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.28 [0 0 0] [0] [0 0 0] [0] 53.38/14.28 53.38/14.28 [1 0 0] [0] [1 0 0] [0] 53.38/14.28 c(b)(b(b)(b(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.28 [0 0 0] [0] [0 0 0] [0] 53.38/14.28 53.38/14.28 [1 0 0] [0] [1 0 0] [0] 53.38/14.28 c(b)(b(b)(b(b)(b(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.28 [0 0 0] [0] [0 0 0] [0] 53.38/14.28 53.38/14.28 [1 0 0] [1 0 0] 53.38/14.28 a(b)(b(b)(b(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.28 [0 0 0] [0 0 0] 53.38/14.28 53.38/14.28 [1 0 0] [1 0 0] 53.38/14.28 a(b)(b(b)(b(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.28 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [1 0 0] 53.38/14.29 a(b)(b(b)(b(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.29 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [1 0 0] 53.38/14.29 b(b)(b(b)(b(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.29 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [1 0 0] 53.38/14.29 b(b)(b(b)(b(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.29 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [1 0 0] 53.38/14.29 b(b)(b(b)(b(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.29 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [0] [1 0 0] [0] 53.38/14.29 c(c)(c(a)(a(b)(b(c)(x1)))) = [1 0 1]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.29 [1 0 1] [1] [0 0 0] [0] 53.38/14.29 53.38/14.29 [1 0 0] [0] [1 0 0] [0] 53.38/14.29 c(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.29 [0 0 0] [1] [0 0 0] [0] 53.38/14.29 53.38/14.29 [1 0 0] [0] [1 0 0] [0] 53.38/14.29 c(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.29 [0 0 0] [1] [0 0 0] [0] 53.38/14.29 53.38/14.29 [1 0 0] [1 0 0] 53.38/14.29 a(c)(c(a)(a(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.29 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [1 0 0] 53.38/14.29 a(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.29 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [1 0 0] 53.38/14.29 a(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.29 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [1 0 0] 53.38/14.29 b(c)(c(a)(a(b)(b(a)(x1)))) = [1 0 0]x1 >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.29 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [1 0 0] 53.38/14.29 b(c)(c(a)(a(b)(b(b)(x1)))) = [1 0 0]x1 >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.29 [0 0 0] [0 0 0] 53.38/14.29 53.38/14.29 [1 0 0] [0] [1 0 0] [0] 53.38/14.29 c(c)(c(a)(a(b)(b(c)(x1)))) = [1 0 1]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(c)(c(a)(a(c)(x1)))) 53.38/14.29 [1 0 1] [1] [0 0 1] [0] 53.38/14.29 53.38/14.29 [1 0 0] [0] [1 0 0] [0] 53.38/14.29 c(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(c)(c(a)(a(a)(x1)))) 53.38/14.29 [0 0 0] [1] [0 0 0] [0] 53.38/14.29 53.38/14.29 [1 0 0] [0] [1 0 0] [0] 53.38/14.29 c(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(c)(c(a)(a(b)(x1)))) 53.38/14.30 [0 0 0] [1] [0 0 0] [0] 53.38/14.30 53.38/14.30 [1 0 0] [1 0 0] 53.38/14.30 a(c)(c(a)(a(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(a)(a(c)(x1)))) 53.38/14.30 [0 0 0] [0 0 0] 53.38/14.30 53.38/14.30 [1 0 0] [1 0 0] 53.38/14.30 a(c)(c(a)(a(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(a)(a(a)(x1)))) 53.38/14.30 [0 0 0] [0 0 0] 53.38/14.30 53.38/14.30 [1 0 0] [1 0 0] 53.38/14.30 a(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(a)(a(b)(x1)))) 53.38/14.30 [0 0 0] [0 0 0] 53.38/14.30 53.38/14.30 [1 0 0] [1 0 0] 53.38/14.30 b(c)(c(a)(a(b)(b(a)(x1)))) = [1 0 0]x1 >= [0 0 0]x1 = b(a)(a(c)(c(a)(a(a)(x1)))) 53.38/14.30 [0 0 0] [0 0 0] 53.38/14.30 53.38/14.30 [1 0 0] [1 0 0] 53.38/14.30 b(c)(c(a)(a(b)(b(b)(x1)))) = [1 0 0]x1 >= [0 0 0]x1 = b(a)(a(c)(c(a)(a(b)(x1)))) 53.38/14.30 [0 0 0] [0 0 0] 53.38/14.30 53.38/14.30 [1 0 1] [0] [1 0 0] [0] 53.38/14.30 c(b)(b(c)(c(c)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(b)(b(c)(x1))) 53.38/14.30 [0 0 0] [0] [0 0 0] [0] 53.38/14.30 53.38/14.30 [1 0 0] [0] [1 0 0] [0] 53.38/14.30 c(b)(b(c)(c(a)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(b)(b(a)(x1))) 53.38/14.30 [0 0 0] [0] [0 0 0] [0] 53.38/14.30 53.38/14.30 [1 0 0] [0] [1 0 0] [0] 53.38/14.30 c(b)(b(c)(c(b)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(b)(b(b)(x1))) 53.38/14.30 [0 0 0] [0] [0 0 0] [0] 53.38/14.30 53.38/14.30 [1 0 0] [1 0 0] 53.38/14.30 b(a)(a(b)(b(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(a)(x1))) 53.38/14.30 [0 0 0] [0 0 0] 53.38/14.30 53.38/14.30 [1 0 0] [1 0 0] 53.38/14.30 b(a)(a(b)(b(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(b)(x1))) 53.38/14.30 [0 0 0] [0 0 0] 53.38/14.30 problem: 53.38/14.30 a(c)(c(c)(c(a)(a(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) 53.38/14.30 a(c)(c(c)(c(a)(a(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) 53.38/14.30 a(c)(c(c)(c(a)(a(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) 53.38/14.30 b(c)(c(c)(c(a)(a(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) 53.38/14.30 b(c)(c(c)(c(a)(a(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) 53.38/14.30 b(c)(c(c)(c(a)(a(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) 53.38/14.30 c(b)(b(b)(b(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.30 c(b)(b(b)(b(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.30 c(b)(b(b)(b(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.30 a(b)(b(b)(b(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.30 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.30 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.30 b(b)(b(b)(b(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.30 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.30 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.30 c(c)(c(a)(a(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.30 c(c)(c(a)(a(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.30 c(c)(c(a)(a(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.30 a(c)(c(a)(a(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 53.38/14.30 a(c)(c(a)(a(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 53.38/14.30 a(c)(c(a)(a(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 53.38/14.30 b(c)(c(a)(a(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 53.43/14.31 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.31 c(c)(c(a)(a(b)(b(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) 53.43/14.31 c(c)(c(a)(a(b)(b(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) 53.43/14.31 c(c)(c(a)(a(b)(b(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.31 a(c)(c(a)(a(b)(b(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) 53.43/14.31 a(c)(c(a)(a(b)(b(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) 53.43/14.31 a(c)(c(a)(a(b)(b(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.31 b(c)(c(a)(a(b)(b(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) 53.43/14.31 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.31 c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) 53.43/14.31 c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) 53.43/14.31 c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) 53.43/14.31 b(a)(a(b)(b(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 53.43/14.31 b(a)(a(b)(b(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 53.43/14.31 Matrix Interpretation Processor: dim=1 53.43/14.31 53.43/14.31 interpretation: 53.43/14.31 [b(b)](x0) = x0 + 4, 53.43/14.31 53.43/14.31 [b(c)](x0) = x0 + 4, 53.43/14.31 53.43/14.31 [a(b)](x0) = x0 + 5, 53.43/14.31 53.43/14.31 [a(a)](x0) = x0 + 3, 53.43/14.31 53.43/14.31 [b(a)](x0) = x0 + 4, 53.43/14.31 53.43/14.31 [c(b)](x0) = x0 + 4, 53.43/14.31 53.43/14.31 [a(c)](x0) = x0 + 4, 53.43/14.31 53.43/14.31 [c(a)](x0) = x0 + 5, 53.43/14.31 53.43/14.31 [c(c)](x0) = x0 + 6 53.43/14.31 orientation: 53.43/14.31 a(c)(c(c)(c(a)(a(c)(x1)))) = x1 + 19 >= x1 + 19 = a(b)(b(a)(a(c)(c(c)(x1)))) 53.43/14.31 53.43/14.31 a(c)(c(c)(c(a)(a(a)(x1)))) = x1 + 18 >= x1 + 18 = a(b)(b(a)(a(c)(c(a)(x1)))) 53.43/14.31 53.43/14.31 a(c)(c(c)(c(a)(a(b)(x1)))) = x1 + 20 >= x1 + 17 = a(b)(b(a)(a(c)(c(b)(x1)))) 53.43/14.31 53.43/14.31 b(c)(c(c)(c(a)(a(c)(x1)))) = x1 + 19 >= x1 + 18 = b(b)(b(a)(a(c)(c(c)(x1)))) 53.43/14.31 53.43/14.31 b(c)(c(c)(c(a)(a(a)(x1)))) = x1 + 18 >= x1 + 17 = b(b)(b(a)(a(c)(c(a)(x1)))) 53.43/14.31 53.43/14.31 b(c)(c(c)(c(a)(a(b)(x1)))) = x1 + 20 >= x1 + 16 = b(b)(b(a)(a(c)(c(b)(x1)))) 53.43/14.31 53.43/14.31 c(b)(b(b)(b(b)(b(c)(x1)))) = x1 + 16 >= x1 + 15 = c(a)(a(a)(a(a)(a(c)(x1)))) 53.43/14.31 53.43/14.31 c(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 16 >= x1 + 14 = c(a)(a(a)(a(a)(a(a)(x1)))) 53.43/14.31 53.43/14.31 c(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 16 >= x1 + 16 = c(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.31 53.43/14.31 a(b)(b(b)(b(b)(b(c)(x1)))) = x1 + 17 >= x1 + 13 = a(a)(a(a)(a(a)(a(c)(x1)))) 53.43/14.31 53.43/14.31 a(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 17 >= x1 + 12 = a(a)(a(a)(a(a)(a(a)(x1)))) 53.43/14.31 53.43/14.31 a(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 17 >= x1 + 14 = a(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.31 53.43/14.31 b(b)(b(b)(b(b)(b(c)(x1)))) = x1 + 16 >= x1 + 14 = b(a)(a(a)(a(a)(a(c)(x1)))) 53.43/14.31 53.43/14.31 b(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 16 >= x1 + 13 = b(a)(a(a)(a(a)(a(a)(x1)))) 53.43/14.31 53.43/14.31 b(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 16 >= x1 + 15 = b(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.31 53.43/14.31 c(c)(c(a)(a(b)(b(c)(x1)))) = x1 + 20 >= x1 + 15 = c(a)(a(a)(a(a)(a(c)(x1)))) 53.43/14.31 53.43/14.31 c(c)(c(a)(a(b)(b(a)(x1)))) = x1 + 20 >= x1 + 14 = c(a)(a(a)(a(a)(a(a)(x1)))) 53.43/14.31 53.43/14.31 c(c)(c(a)(a(b)(b(b)(x1)))) = x1 + 20 >= x1 + 16 = c(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.31 53.43/14.31 a(c)(c(a)(a(b)(b(c)(x1)))) = x1 + 18 >= x1 + 13 = a(a)(a(a)(a(a)(a(c)(x1)))) 53.43/14.31 53.43/14.31 a(c)(c(a)(a(b)(b(a)(x1)))) = x1 + 18 >= x1 + 12 = a(a)(a(a)(a(a)(a(a)(x1)))) 53.43/14.31 53.43/14.31 a(c)(c(a)(a(b)(b(b)(x1)))) = x1 + 18 >= x1 + 14 = a(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.31 53.43/14.31 b(c)(c(a)(a(b)(b(a)(x1)))) = x1 + 18 >= x1 + 13 = b(a)(a(a)(a(a)(a(a)(x1)))) 53.43/14.31 53.43/14.31 b(c)(c(a)(a(b)(b(b)(x1)))) = x1 + 18 >= x1 + 15 = b(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.31 53.43/14.31 c(c)(c(a)(a(b)(b(c)(x1)))) = x1 + 20 >= x1 + 18 = c(a)(a(c)(c(a)(a(c)(x1)))) 53.43/14.31 53.43/14.31 c(c)(c(a)(a(b)(b(a)(x1)))) = x1 + 20 >= x1 + 17 = c(a)(a(c)(c(a)(a(a)(x1)))) 53.43/14.31 53.43/14.31 c(c)(c(a)(a(b)(b(b)(x1)))) = x1 + 20 >= x1 + 19 = c(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.31 53.43/14.31 a(c)(c(a)(a(b)(b(c)(x1)))) = x1 + 18 >= x1 + 16 = a(a)(a(c)(c(a)(a(c)(x1)))) 53.43/14.31 53.43/14.31 a(c)(c(a)(a(b)(b(a)(x1)))) = x1 + 18 >= x1 + 15 = a(a)(a(c)(c(a)(a(a)(x1)))) 53.43/14.31 53.43/14.31 a(c)(c(a)(a(b)(b(b)(x1)))) = x1 + 18 >= x1 + 17 = a(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.31 53.43/14.31 b(c)(c(a)(a(b)(b(a)(x1)))) = x1 + 18 >= x1 + 16 = b(a)(a(c)(c(a)(a(a)(x1)))) 53.43/14.31 53.43/14.31 b(c)(c(a)(a(b)(b(b)(x1)))) = x1 + 18 >= x1 + 18 = b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 53.43/14.32 c(b)(b(c)(c(c)(x1))) = x1 + 14 >= x1 + 12 = c(b)(b(b)(b(c)(x1))) 53.43/14.32 53.43/14.32 c(b)(b(c)(c(a)(x1))) = x1 + 13 >= x1 + 12 = c(b)(b(b)(b(a)(x1))) 53.43/14.32 53.43/14.32 c(b)(b(c)(c(b)(x1))) = x1 + 12 >= x1 + 12 = c(b)(b(b)(b(b)(x1))) 53.43/14.32 53.43/14.32 b(a)(a(b)(b(a)(x1))) = x1 + 13 >= x1 + 13 = b(b)(b(c)(c(a)(x1))) 53.43/14.32 53.43/14.32 b(a)(a(b)(b(b)(x1))) = x1 + 13 >= x1 + 12 = b(b)(b(c)(c(b)(x1))) 53.43/14.32 problem: 53.43/14.32 a(c)(c(c)(c(a)(a(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) 53.43/14.32 a(c)(c(c)(c(a)(a(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) 53.43/14.32 c(b)(b(b)(b(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) 53.43/14.32 b(a)(a(b)(b(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 53.43/14.32 Matrix Interpretation Processor: dim=1 53.43/14.32 53.43/14.32 interpretation: 53.43/14.32 [b(b)](x0) = x0, 53.43/14.32 53.43/14.32 [b(c)](x0) = x0, 53.43/14.32 53.43/14.32 [a(b)](x0) = x0, 53.43/14.32 53.43/14.32 [a(a)](x0) = 2x0, 53.43/14.32 53.43/14.32 [b(a)](x0) = x0, 53.43/14.32 53.43/14.32 [c(b)](x0) = 4x0, 53.43/14.32 53.43/14.32 [a(c)](x0) = x0, 53.43/14.32 53.43/14.32 [c(a)](x0) = x0, 53.43/14.32 53.43/14.32 [c(c)](x0) = 2x0 + 1 53.43/14.32 orientation: 53.43/14.32 a(c)(c(c)(c(a)(a(c)(x1)))) = 2x1 + 1 >= 2x1 + 1 = a(b)(b(a)(a(c)(c(c)(x1)))) 53.43/14.32 53.43/14.32 a(c)(c(c)(c(a)(a(a)(x1)))) = 4x1 + 1 >= x1 = a(b)(b(a)(a(c)(c(a)(x1)))) 53.43/14.32 53.43/14.32 c(b)(b(b)(b(b)(b(b)(x1)))) = 4x1 >= 4x1 = c(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.32 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) = x1 >= x1 = b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 53.43/14.32 c(b)(b(c)(c(b)(x1))) = 16x1 >= 4x1 = c(b)(b(b)(b(b)(x1))) 53.43/14.32 53.43/14.32 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(b)(b(c)(c(a)(x1))) 53.43/14.32 problem: 53.43/14.32 a(c)(c(c)(c(a)(a(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) 53.43/14.32 c(b)(b(b)(b(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) 53.43/14.32 b(a)(a(b)(b(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 53.43/14.32 Matrix Interpretation Processor: dim=1 53.43/14.32 53.43/14.32 interpretation: 53.43/14.32 [b(b)](x0) = x0, 53.43/14.32 53.43/14.32 [b(c)](x0) = x0, 53.43/14.32 53.43/14.32 [a(b)](x0) = 2x0, 53.43/14.32 53.43/14.32 [a(a)](x0) = x0, 53.43/14.32 53.43/14.32 [b(a)](x0) = x0, 53.43/14.32 53.43/14.32 [c(b)](x0) = 4x0 + 4, 53.43/14.32 53.43/14.32 [a(c)](x0) = x0, 53.43/14.32 53.43/14.32 [c(a)](x0) = 2x0, 53.43/14.32 53.43/14.32 [c(c)](x0) = x0 53.43/14.32 orientation: 53.43/14.32 a(c)(c(c)(c(a)(a(c)(x1)))) = 2x1 >= 2x1 = a(b)(b(a)(a(c)(c(c)(x1)))) 53.43/14.32 53.43/14.32 c(b)(b(b)(b(b)(b(b)(x1)))) = 4x1 + 4 >= 4x1 = c(a)(a(a)(a(a)(a(b)(x1)))) 53.43/14.32 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) = 4x1 >= 4x1 = b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 53.43/14.32 c(b)(b(c)(c(b)(x1))) = 16x1 + 20 >= 4x1 + 4 = c(b)(b(b)(b(b)(x1))) 53.43/14.32 53.43/14.32 b(a)(a(b)(b(a)(x1))) = 2x1 >= 2x1 = b(b)(b(c)(c(a)(x1))) 53.43/14.32 problem: 53.43/14.32 a(c)(c(c)(c(a)(a(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 b(a)(a(b)(b(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 53.43/14.32 Matrix Interpretation Processor: dim=3 53.43/14.32 53.43/14.32 interpretation: 53.43/14.32 [1 0 0] 53.43/14.32 [b(b)](x0) = [0 0 0]x0 53.43/14.32 [0 1 1] , 53.43/14.32 53.43/14.32 [1 0 0] 53.43/14.32 [b(c)](x0) = [0 0 0]x0 53.43/14.32 [0 0 0] , 53.43/14.32 53.43/14.32 [1 1 0] 53.43/14.32 [a(b)](x0) = [0 1 0]x0 53.43/14.32 [0 0 1] , 53.43/14.32 53.43/14.32 [1 0 0] 53.43/14.32 [b(a)](x0) = [0 0 1]x0 53.43/14.32 [0 0 0] , 53.43/14.32 53.43/14.32 [1 0 0] 53.43/14.32 [a(c)](x0) = [0 1 0]x0 53.43/14.32 [0 0 0] , 53.43/14.32 53.43/14.32 [1 0 1] [0] 53.43/14.32 [c(a)](x0) = [0 1 0]x0 + [1] 53.43/14.32 [0 0 0] [0], 53.43/14.32 53.43/14.32 [1 1 0] [0] 53.43/14.32 [c(c)](x0) = [1 0 1]x0 + [0] 53.43/14.32 [1 0 0] [1] 53.43/14.32 orientation: 53.43/14.32 [1 1 0] [1] [1 1 0] 53.43/14.32 a(c)(c(c)(c(a)(a(c)(x1)))) = [1 0 0]x1 + [0] >= [0 0 0]x1 = a(b)(b(a)(a(c)(c(c)(x1)))) 53.43/14.32 [0 0 0] [0] [0 0 0] 53.43/14.32 53.43/14.32 [1 1 1] [1 1 1] 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 [0 0 0] [0 0 0] 53.43/14.32 53.43/14.32 [1 0 1] [1 0 1] 53.43/14.32 b(a)(a(b)(b(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(a)(x1))) 53.43/14.32 [0 0 0] [0 0 0] 53.43/14.32 problem: 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 b(a)(a(b)(b(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 53.43/14.32 Matrix Interpretation Processor: dim=1 53.43/14.32 53.43/14.32 interpretation: 53.43/14.32 [b(b)](x0) = x0 + 4, 53.43/14.32 53.43/14.32 [b(c)](x0) = x0 + 5, 53.43/14.32 53.43/14.32 [a(b)](x0) = x0 + 1, 53.43/14.32 53.43/14.32 [b(a)](x0) = x0 + 7, 53.43/14.32 53.43/14.32 [a(c)](x0) = x0 + 2, 53.43/14.32 53.43/14.32 [c(a)](x0) = x0 + 3 53.43/14.32 orientation: 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) = x1 + 13 >= x1 + 13 = b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 53.43/14.32 b(a)(a(b)(b(a)(x1))) = x1 + 15 >= x1 + 12 = b(b)(b(c)(c(a)(x1))) 53.43/14.32 problem: 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 Matrix Interpretation Processor: dim=1 53.43/14.32 53.43/14.32 interpretation: 53.43/14.32 [b(b)](x0) = x0, 53.43/14.32 53.43/14.32 [b(c)](x0) = x0 + 5, 53.43/14.32 53.43/14.32 [a(b)](x0) = x0 + 1, 53.43/14.32 53.43/14.32 [b(a)](x0) = x0, 53.43/14.32 53.43/14.32 [a(c)](x0) = x0 + 4, 53.43/14.32 53.43/14.32 [c(a)](x0) = x0 + 7 53.43/14.32 orientation: 53.43/14.32 b(c)(c(a)(a(b)(b(b)(x1)))) = x1 + 13 >= x1 + 12 = b(a)(a(c)(c(a)(a(b)(x1)))) 53.43/14.32 problem: 53.43/14.32 53.43/14.32 Qed 53.43/14.33 EOF