51.25/11.35 YES 51.25/11.36 51.25/11.36 Problem: 51.25/11.36 strict: 51.25/11.36 a(c(c(x1))) -> b(c(c(x1))) 51.25/11.36 c(a(c(x1))) -> b(b(a(x1))) 51.25/11.36 weak: 51.25/11.36 b(b(b(x1))) -> c(c(a(x1))) 51.25/11.36 c(b(a(x1))) -> b(a(a(x1))) 51.25/11.36 c(c(c(x1))) -> b(c(a(x1))) 51.25/11.36 51.25/11.36 Proof: 51.25/11.36 Root-Labeling Processor: 51.25/11.36 strict: 51.25/11.36 a(a)(a(c)(c(c)(c(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.36 a(a)(a(c)(c(c)(c(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.36 a(a)(a(c)(c(c)(c(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.36 c(a)(a(c)(c(c)(c(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.36 c(a)(a(c)(c(c)(c(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.36 c(a)(a(c)(c(c)(c(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.36 b(a)(a(c)(c(c)(c(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.36 b(a)(a(c)(c(c)(c(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.36 b(a)(a(c)(c(c)(c(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.36 a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) 51.25/11.36 a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) 51.25/11.36 a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) 51.25/11.36 c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) 51.25/11.36 c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) 51.25/11.36 c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) 51.25/11.36 b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) 51.25/11.36 b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) 51.25/11.36 b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) 51.25/11.36 weak: 51.25/11.36 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(a)(a(a)(x1)))) 51.25/11.36 a(b)(b(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.36 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(a)(a(b)(x1)))) 51.25/11.36 c(b)(b(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(a)(a(a)(x1)))) 51.25/11.36 c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.36 c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(a)(a(b)(x1)))) 51.25/11.36 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(a)(a(a)(x1)))) 51.25/11.36 b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.36 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(a)(a(b)(x1)))) 51.25/11.36 a(c)(c(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) 51.25/11.36 a(c)(c(b)(b(a)(a(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) 51.25/11.36 a(c)(c(b)(b(a)(a(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) 51.25/11.36 c(c)(c(b)(b(a)(a(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) 51.25/11.36 c(c)(c(b)(b(a)(a(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) 51.25/11.36 c(c)(c(b)(b(a)(a(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) 51.25/11.36 b(c)(c(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) 51.25/11.36 b(c)(c(b)(b(a)(a(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) 51.25/11.36 b(c)(c(b)(b(a)(a(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) 51.25/11.36 a(c)(c(c)(c(c)(c(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) 51.25/11.36 a(c)(c(c)(c(c)(c(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) 51.25/11.36 a(c)(c(c)(c(c)(c(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) 51.25/11.36 c(c)(c(c)(c(c)(c(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) 51.25/11.36 c(c)(c(c)(c(c)(c(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) 51.25/11.36 c(c)(c(c)(c(c)(c(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) 51.25/11.36 b(c)(c(c)(c(c)(c(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) 51.25/11.36 b(c)(c(c)(c(c)(c(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) 51.25/11.36 b(c)(c(c)(c(c)(c(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) 51.25/11.36 RT Transformation Processor: 51.25/11.36 a(a)(a(c)(c(c)(c(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.36 a(a)(a(c)(c(c)(c(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.36 a(a)(a(c)(c(c)(c(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.36 c(a)(a(c)(c(c)(c(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.36 c(a)(a(c)(c(c)(c(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.36 c(a)(a(c)(c(c)(c(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.36 b(a)(a(c)(c(c)(c(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.36 b(a)(a(c)(c(c)(c(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.36 b(a)(a(c)(c(c)(c(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.36 a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) 51.25/11.36 a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) 51.25/11.36 a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) 51.25/11.36 c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) 51.25/11.36 c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) 51.25/11.36 c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) 51.25/11.36 b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) 51.25/11.36 b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) 51.25/11.36 b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) 51.25/11.36 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(a)(a(a)(x1)))) 51.25/11.36 a(b)(b(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.37 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(a)(a(b)(x1)))) 51.25/11.37 c(b)(b(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(a)(a(a)(x1)))) 51.25/11.37 c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.37 c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(a)(a(b)(x1)))) 51.25/11.37 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(a)(a(a)(x1)))) 51.25/11.37 b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.37 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(a)(a(b)(x1)))) 51.25/11.37 a(c)(c(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) 51.25/11.37 a(c)(c(b)(b(a)(a(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) 51.25/11.37 a(c)(c(b)(b(a)(a(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) 51.25/11.37 c(c)(c(b)(b(a)(a(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) 51.25/11.37 c(c)(c(b)(b(a)(a(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) 51.25/11.37 c(c)(c(b)(b(a)(a(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) 51.25/11.37 b(c)(c(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) 51.25/11.37 b(c)(c(b)(b(a)(a(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) 51.25/11.37 b(c)(c(b)(b(a)(a(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) 51.25/11.37 a(c)(c(c)(c(c)(c(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) 51.25/11.37 a(c)(c(c)(c(c)(c(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) 51.25/11.37 a(c)(c(c)(c(c)(c(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) 51.25/11.37 c(c)(c(c)(c(c)(c(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) 51.25/11.37 c(c)(c(c)(c(c)(c(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) 51.25/11.37 c(c)(c(c)(c(c)(c(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) 51.25/11.37 b(c)(c(c)(c(c)(c(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) 51.25/11.37 b(c)(c(c)(c(c)(c(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) 51.25/11.37 b(c)(c(c)(c(c)(c(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) 51.25/11.37 Matrix Interpretation Processor: dim=1 51.25/11.37 51.25/11.37 interpretation: 51.25/11.37 [b(b)](x0) = 2x0 + 1, 51.25/11.37 51.25/11.37 [b(a)](x0) = 2x0 + 1, 51.25/11.37 51.25/11.37 [c(b)](x0) = 2x0 + 1, 51.25/11.37 51.25/11.37 [b(c)](x0) = 2x0, 51.25/11.37 51.25/11.37 [a(b)](x0) = 2x0, 51.25/11.37 51.25/11.37 [c(a)](x0) = 2x0 + 1, 51.25/11.37 51.25/11.37 [c(c)](x0) = 2x0 + 1, 51.25/11.37 51.25/11.37 [a(c)](x0) = 2x0, 51.25/11.37 51.25/11.37 [a(a)](x0) = 2x0 51.25/11.37 orientation: 51.25/11.37 a(a)(a(c)(c(c)(c(a)(x1)))) = 16x1 + 12 >= 16x1 + 12 = a(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.37 51.25/11.37 a(a)(a(c)(c(c)(c(c)(x1)))) = 16x1 + 12 >= 16x1 + 12 = a(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.37 51.25/11.37 a(a)(a(c)(c(c)(c(b)(x1)))) = 16x1 + 12 >= 16x1 + 12 = a(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.37 51.25/11.37 c(a)(a(c)(c(c)(c(a)(x1)))) = 16x1 + 13 >= 16x1 + 13 = c(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.37 51.25/11.37 c(a)(a(c)(c(c)(c(c)(x1)))) = 16x1 + 13 >= 16x1 + 13 = c(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.37 51.25/11.37 c(a)(a(c)(c(c)(c(b)(x1)))) = 16x1 + 13 >= 16x1 + 13 = c(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.37 51.25/11.37 b(a)(a(c)(c(c)(c(a)(x1)))) = 16x1 + 13 >= 16x1 + 13 = b(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.37 51.25/11.37 b(a)(a(c)(c(c)(c(c)(x1)))) = 16x1 + 13 >= 16x1 + 13 = b(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.37 51.25/11.37 b(a)(a(c)(c(c)(c(b)(x1)))) = 16x1 + 13 >= 16x1 + 13 = b(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.37 51.25/11.37 a(c)(c(a)(a(c)(c(a)(x1)))) = 16x1 + 10 >= 16x1 + 6 = a(b)(b(b)(b(a)(a(a)(x1)))) 51.25/11.37 51.25/11.37 a(c)(c(a)(a(c)(c(c)(x1)))) = 16x1 + 10 >= 16x1 + 6 = a(b)(b(b)(b(a)(a(c)(x1)))) 51.25/11.37 51.25/11.37 a(c)(c(a)(a(c)(c(b)(x1)))) = 16x1 + 10 >= 16x1 + 6 = a(b)(b(b)(b(a)(a(b)(x1)))) 51.25/11.37 51.25/11.37 c(c)(c(a)(a(c)(c(a)(x1)))) = 16x1 + 11 >= 16x1 + 7 = c(b)(b(b)(b(a)(a(a)(x1)))) 51.25/11.37 51.25/11.37 c(c)(c(a)(a(c)(c(c)(x1)))) = 16x1 + 11 >= 16x1 + 7 = c(b)(b(b)(b(a)(a(c)(x1)))) 51.25/11.37 51.25/11.37 c(c)(c(a)(a(c)(c(b)(x1)))) = 16x1 + 11 >= 16x1 + 7 = c(b)(b(b)(b(a)(a(b)(x1)))) 51.25/11.37 51.25/11.37 b(c)(c(a)(a(c)(c(a)(x1)))) = 16x1 + 10 >= 16x1 + 7 = b(b)(b(b)(b(a)(a(a)(x1)))) 51.25/11.37 51.25/11.37 b(c)(c(a)(a(c)(c(c)(x1)))) = 16x1 + 10 >= 16x1 + 7 = b(b)(b(b)(b(a)(a(c)(x1)))) 51.25/11.37 51.25/11.37 b(c)(c(a)(a(c)(c(b)(x1)))) = 16x1 + 10 >= 16x1 + 7 = b(b)(b(b)(b(a)(a(b)(x1)))) 51.25/11.37 51.25/11.37 a(b)(b(b)(b(b)(b(a)(x1)))) = 16x1 + 14 >= 16x1 + 6 = a(c)(c(c)(c(a)(a(a)(x1)))) 51.25/11.37 51.25/11.37 a(b)(b(b)(b(b)(b(c)(x1)))) = 16x1 + 6 >= 16x1 + 6 = a(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.37 51.25/11.37 a(b)(b(b)(b(b)(b(b)(x1)))) = 16x1 + 14 >= 16x1 + 6 = a(c)(c(c)(c(a)(a(b)(x1)))) 51.25/11.37 51.25/11.37 c(b)(b(b)(b(b)(b(a)(x1)))) = 16x1 + 15 >= 16x1 + 7 = c(c)(c(c)(c(a)(a(a)(x1)))) 51.25/11.37 51.25/11.37 c(b)(b(b)(b(b)(b(c)(x1)))) = 16x1 + 7 >= 16x1 + 7 = c(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.37 51.25/11.37 c(b)(b(b)(b(b)(b(b)(x1)))) = 16x1 + 15 >= 16x1 + 7 = c(c)(c(c)(c(a)(a(b)(x1)))) 51.25/11.38 51.25/11.38 b(b)(b(b)(b(b)(b(a)(x1)))) = 16x1 + 15 >= 16x1 + 6 = b(c)(c(c)(c(a)(a(a)(x1)))) 51.25/11.38 51.25/11.38 b(b)(b(b)(b(b)(b(c)(x1)))) = 16x1 + 7 >= 16x1 + 6 = b(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.38 51.25/11.38 b(b)(b(b)(b(b)(b(b)(x1)))) = 16x1 + 15 >= 16x1 + 6 = b(c)(c(c)(c(a)(a(b)(x1)))) 51.25/11.38 51.25/11.38 a(c)(c(b)(b(a)(a(a)(x1)))) = 16x1 + 6 >= 16x1 + 2 = a(b)(b(a)(a(a)(a(a)(x1)))) 51.25/11.38 51.25/11.38 a(c)(c(b)(b(a)(a(c)(x1)))) = 16x1 + 6 >= 16x1 + 2 = a(b)(b(a)(a(a)(a(c)(x1)))) 51.25/11.38 51.25/11.38 a(c)(c(b)(b(a)(a(b)(x1)))) = 16x1 + 6 >= 16x1 + 2 = a(b)(b(a)(a(a)(a(b)(x1)))) 51.25/11.38 51.25/11.38 c(c)(c(b)(b(a)(a(a)(x1)))) = 16x1 + 7 >= 16x1 + 3 = c(b)(b(a)(a(a)(a(a)(x1)))) 51.25/11.38 51.25/11.38 c(c)(c(b)(b(a)(a(c)(x1)))) = 16x1 + 7 >= 16x1 + 3 = c(b)(b(a)(a(a)(a(c)(x1)))) 51.25/11.38 51.25/11.38 c(c)(c(b)(b(a)(a(b)(x1)))) = 16x1 + 7 >= 16x1 + 3 = c(b)(b(a)(a(a)(a(b)(x1)))) 51.25/11.38 51.25/11.38 b(c)(c(b)(b(a)(a(a)(x1)))) = 16x1 + 6 >= 16x1 + 3 = b(b)(b(a)(a(a)(a(a)(x1)))) 51.25/11.38 51.25/11.38 b(c)(c(b)(b(a)(a(c)(x1)))) = 16x1 + 6 >= 16x1 + 3 = b(b)(b(a)(a(a)(a(c)(x1)))) 51.25/11.38 51.25/11.38 b(c)(c(b)(b(a)(a(b)(x1)))) = 16x1 + 6 >= 16x1 + 3 = b(b)(b(a)(a(a)(a(b)(x1)))) 51.25/11.38 51.25/11.38 a(c)(c(c)(c(c)(c(a)(x1)))) = 16x1 + 14 >= 16x1 + 4 = a(b)(b(c)(c(a)(a(a)(x1)))) 51.25/11.38 51.25/11.38 a(c)(c(c)(c(c)(c(c)(x1)))) = 16x1 + 14 >= 16x1 + 4 = a(b)(b(c)(c(a)(a(c)(x1)))) 51.25/11.38 51.25/11.38 a(c)(c(c)(c(c)(c(b)(x1)))) = 16x1 + 14 >= 16x1 + 4 = a(b)(b(c)(c(a)(a(b)(x1)))) 51.25/11.38 51.25/11.38 c(c)(c(c)(c(c)(c(a)(x1)))) = 16x1 + 15 >= 16x1 + 5 = c(b)(b(c)(c(a)(a(a)(x1)))) 51.25/11.38 51.25/11.38 c(c)(c(c)(c(c)(c(c)(x1)))) = 16x1 + 15 >= 16x1 + 5 = c(b)(b(c)(c(a)(a(c)(x1)))) 51.25/11.38 51.25/11.38 c(c)(c(c)(c(c)(c(b)(x1)))) = 16x1 + 15 >= 16x1 + 5 = c(b)(b(c)(c(a)(a(b)(x1)))) 51.25/11.38 51.25/11.38 b(c)(c(c)(c(c)(c(a)(x1)))) = 16x1 + 14 >= 16x1 + 5 = b(b)(b(c)(c(a)(a(a)(x1)))) 51.25/11.38 51.25/11.38 b(c)(c(c)(c(c)(c(c)(x1)))) = 16x1 + 14 >= 16x1 + 5 = b(b)(b(c)(c(a)(a(c)(x1)))) 51.25/11.38 51.25/11.38 b(c)(c(c)(c(c)(c(b)(x1)))) = 16x1 + 14 >= 16x1 + 5 = b(b)(b(c)(c(a)(a(b)(x1)))) 51.25/11.38 problem: 51.25/11.38 a(a)(a(c)(c(c)(c(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.38 a(a)(a(c)(c(c)(c(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.38 a(a)(a(c)(c(c)(c(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.38 c(a)(a(c)(c(c)(c(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.38 c(a)(a(c)(c(c)(c(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.38 c(a)(a(c)(c(c)(c(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.38 b(a)(a(c)(c(c)(c(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.38 b(a)(a(c)(c(c)(c(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.38 b(a)(a(c)(c(c)(c(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.38 a(b)(b(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.38 c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.38 Matrix Interpretation Processor: dim=3 51.25/11.38 51.25/11.38 interpretation: 51.25/11.38 [1 0 0] [0] 51.25/11.38 [b(b)](x0) = [0 0 0]x0 + [1] 51.25/11.38 [0 0 0] [1], 51.25/11.38 51.25/11.38 [1 0 0] [0] 51.25/11.38 [b(a)](x0) = [1 0 0]x0 + [1] 51.25/11.38 [0 0 0] [1], 51.25/11.38 51.25/11.38 [1 0 1] 51.25/11.38 [c(b)](x0) = [0 0 0]x0 51.25/11.38 [0 0 0] , 51.25/11.38 51.25/11.38 [1 1 1] 51.25/11.38 [b(c)](x0) = [0 0 0]x0 51.25/11.38 [0 0 0] , 51.25/11.38 51.25/11.38 [1 1 0] [0] 51.25/11.38 [a(b)](x0) = [0 0 0]x0 + [1] 51.25/11.38 [1 0 0] [0], 51.25/11.38 51.25/11.38 [1 0 0] 51.25/11.38 [c(a)](x0) = [0 0 1]x0 51.25/11.38 [0 1 0] , 51.25/11.38 51.25/11.38 [1 1 1] 51.25/11.38 [c(c)](x0) = [0 0 0]x0 51.25/11.38 [0 0 0] , 51.25/11.38 51.25/11.38 [1 0 0] [0] 51.25/11.38 [a(c)](x0) = [0 1 1]x0 + [1] 51.25/11.38 [0 0 0] [0], 51.25/11.38 51.25/11.38 [1 0 0] [1] 51.25/11.38 [a(a)](x0) = [0 0 0]x0 + [1] 51.25/11.38 [1 0 0] [0] 51.25/11.38 orientation: 51.25/11.38 [1 1 1] [1] [1 1 1] [0] 51.25/11.38 a(a)(a(c)(c(c)(c(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.38 [1 1 1] [0] [1 1 1] [0] 51.25/11.38 51.25/11.38 [1 1 1] [1] [1 1 1] [0] 51.25/11.38 a(a)(a(c)(c(c)(c(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.39 [1 1 1] [0] [1 1 1] [0] 51.25/11.39 51.25/11.39 [1 0 1] [1] [1 0 1] [0] 51.25/11.39 a(a)(a(c)(c(c)(c(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.39 [1 0 1] [0] [1 0 1] [0] 51.25/11.39 51.25/11.39 [1 1 1] [0] [1 1 1] 51.25/11.39 c(a)(a(c)(c(c)(c(a)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.39 [0 0 0] [1] [0 0 0] 51.25/11.39 51.25/11.39 [1 1 1] [0] [1 1 1] 51.25/11.39 c(a)(a(c)(c(c)(c(c)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.39 [0 0 0] [1] [0 0 0] 51.25/11.39 51.25/11.39 [1 0 1] [0] [1 0 1] 51.25/11.39 c(a)(a(c)(c(c)(c(b)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.39 [0 0 0] [1] [0 0 0] 51.25/11.39 51.25/11.39 [1 1 1] [0] [1 1 1] [0] 51.25/11.39 b(a)(a(c)(c(c)(c(a)(x1)))) = [1 1 1]x1 + [1] >= [0 0 0]x1 + [1] = b(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.39 [0 0 0] [1] [0 0 0] [1] 51.25/11.39 51.25/11.39 [1 1 1] [0] [1 1 1] [0] 51.25/11.39 b(a)(a(c)(c(c)(c(c)(x1)))) = [1 1 1]x1 + [1] >= [0 0 0]x1 + [1] = b(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.39 [0 0 0] [1] [0 0 0] [1] 51.25/11.39 51.25/11.39 [1 0 1] [0] [1 0 1] [0] 51.25/11.39 b(a)(a(c)(c(c)(c(b)(x1)))) = [1 0 1]x1 + [1] >= [0 0 0]x1 + [1] = b(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.39 [0 0 0] [1] [0 0 0] [1] 51.25/11.39 51.25/11.39 [1 1 1] [1] [1 1 1] [1] 51.25/11.39 a(b)(b(b)(b(b)(b(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.39 [1 1 1] [0] [0 0 0] [0] 51.25/11.39 51.25/11.39 [1 1 1] [1] [1 1 1] [1] 51.25/11.39 c(b)(b(b)(b(b)(b(c)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = c(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.39 [0 0 0] [0] [0 0 0] [0] 51.25/11.39 problem: 51.25/11.39 c(a)(a(c)(c(c)(c(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.39 c(a)(a(c)(c(c)(c(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.39 c(a)(a(c)(c(c)(c(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.39 b(a)(a(c)(c(c)(c(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.39 b(a)(a(c)(c(c)(c(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.39 b(a)(a(c)(c(c)(c(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.39 a(b)(b(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.39 c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.39 Matrix Interpretation Processor: dim=1 51.25/11.39 51.25/11.39 interpretation: 51.25/11.39 [b(b)](x0) = x0 + 7, 51.25/11.39 51.25/11.39 [b(a)](x0) = 2x0 + 6, 51.25/11.39 51.25/11.39 [c(b)](x0) = x0 + 1, 51.25/11.39 51.25/11.39 [b(c)](x0) = 2x0, 51.25/11.39 51.25/11.39 [a(b)](x0) = x0 + 3, 51.25/11.39 51.25/11.39 [c(a)](x0) = 2x0 + 4, 51.25/11.39 51.25/11.39 [c(c)](x0) = x0 + 1, 51.25/11.39 51.25/11.39 [a(c)](x0) = x0 + 4 51.25/11.39 orientation: 51.25/11.39 c(a)(a(c)(c(c)(c(a)(x1)))) = 4x1 + 22 >= 4x1 + 11 = c(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.39 51.25/11.39 c(a)(a(c)(c(c)(c(c)(x1)))) = 2x1 + 16 >= 2x1 + 5 = c(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.39 51.25/11.39 c(a)(a(c)(c(c)(c(b)(x1)))) = 2x1 + 16 >= 2x1 + 5 = c(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.39 51.25/11.39 b(a)(a(c)(c(c)(c(a)(x1)))) = 4x1 + 24 >= 4x1 + 17 = b(b)(b(c)(c(c)(c(a)(x1)))) 51.25/11.39 51.25/11.39 b(a)(a(c)(c(c)(c(c)(x1)))) = 2x1 + 18 >= 2x1 + 11 = b(b)(b(c)(c(c)(c(c)(x1)))) 51.25/11.39 51.25/11.39 b(a)(a(c)(c(c)(c(b)(x1)))) = 2x1 + 18 >= 2x1 + 11 = b(b)(b(c)(c(c)(c(b)(x1)))) 51.25/11.39 51.25/11.39 a(b)(b(b)(b(b)(b(c)(x1)))) = 2x1 + 17 >= 2x1 + 17 = a(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.39 51.25/11.39 c(b)(b(b)(b(b)(b(c)(x1)))) = 2x1 + 15 >= 2x1 + 14 = c(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.39 problem: 51.25/11.39 a(b)(b(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.39 Matrix Interpretation Processor: dim=3 51.25/11.39 51.25/11.39 interpretation: 51.25/11.39 [1 0 0] 51.25/11.39 [b(b)](x0) = [0 0 0]x0 51.25/11.39 [0 0 0] , 51.25/11.39 51.25/11.39 [1 0 0] 51.25/11.39 [b(c)](x0) = [0 0 0]x0 51.25/11.39 [0 0 0] , 51.25/11.39 51.25/11.39 [1 0 0] [1] 51.25/11.39 [a(b)](x0) = [0 0 0]x0 + [0] 51.25/11.39 [0 0 0] [0], 51.25/11.39 51.25/11.39 [1 0 0] 51.25/11.39 [c(a)](x0) = [0 0 0]x0 51.25/11.39 [0 0 0] , 51.25/11.39 51.25/11.39 [1 0 0] 51.25/11.39 [c(c)](x0) = [0 0 0]x0 51.25/11.39 [0 0 0] , 51.25/11.39 51.25/11.39 [1 0 0] 51.25/11.39 [a(c)](x0) = [0 0 0]x0 51.25/11.39 [0 0 0] 51.25/11.39 orientation: 51.25/11.39 [1 0 0] [1] [1 0 0] 51.25/11.39 a(b)(b(b)(b(b)(b(c)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = a(c)(c(c)(c(a)(a(c)(x1)))) 51.25/11.39 [0 0 0] [0] [0 0 0] 51.25/11.39 problem: 51.25/11.39 51.25/11.39 Qed 51.25/11.39 EOF