61.36/15.45 YES 61.36/15.46 61.36/15.46 Problem: 61.36/15.46 strict: 61.36/15.46 c(a(a(x1))) -> c(c(b(x1))) 61.36/15.46 c(a(b(x1))) -> c(b(a(x1))) 61.36/15.46 b(b(a(x1))) -> b(b(c(x1))) 61.36/15.46 b(c(b(x1))) -> a(a(a(x1))) 61.36/15.46 weak: 61.36/15.46 c(a(a(x1))) -> a(b(a(x1))) 61.36/15.46 a(b(c(x1))) -> a(a(c(x1))) 61.36/15.46 61.36/15.46 Proof: 61.36/15.46 Root-Labeling Processor: 61.36/15.46 strict: 61.36/15.46 c(a)(a(a)(a(c)(x1))) -> c(c)(c(b)(b(c)(x1))) 61.36/15.46 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.36/15.46 c(a)(a(a)(a(b)(x1))) -> c(c)(c(b)(b(b)(x1))) 61.36/15.46 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(x1))) 61.36/15.46 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.36/15.46 c(a)(a(b)(b(b)(x1))) -> c(b)(b(a)(a(b)(x1))) 61.36/15.46 b(b)(b(a)(a(c)(x1))) -> b(b)(b(c)(c(c)(x1))) 61.36/15.46 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.36/15.46 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.36/15.46 c(b)(b(c)(c(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.46 c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.46 c(b)(b(c)(c(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 61.36/15.46 a(b)(b(c)(c(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.46 a(b)(b(c)(c(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.46 a(b)(b(c)(c(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 61.36/15.46 b(b)(b(c)(c(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.46 b(b)(b(c)(c(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.46 b(b)(b(c)(c(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 61.36/15.46 weak: 61.36/15.46 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.46 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.46 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.46 a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.46 a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.46 a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.46 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.46 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.46 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.46 a(b)(b(c)(c(c)(x1))) -> a(a)(a(c)(c(c)(x1))) 61.36/15.46 a(b)(b(c)(c(a)(x1))) -> a(a)(a(c)(c(a)(x1))) 61.36/15.46 a(b)(b(c)(c(b)(x1))) -> a(a)(a(c)(c(b)(x1))) 61.36/15.46 RT Transformation Processor: 61.36/15.46 c(a)(a(a)(a(c)(x1))) -> c(c)(c(b)(b(c)(x1))) 61.36/15.46 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.36/15.46 c(a)(a(a)(a(b)(x1))) -> c(c)(c(b)(b(b)(x1))) 61.36/15.46 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(x1))) 61.36/15.46 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.36/15.46 c(a)(a(b)(b(b)(x1))) -> c(b)(b(a)(a(b)(x1))) 61.36/15.46 b(b)(b(a)(a(c)(x1))) -> b(b)(b(c)(c(c)(x1))) 61.36/15.46 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.36/15.46 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.36/15.46 c(b)(b(c)(c(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.46 c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.46 c(b)(b(c)(c(b)(b(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) 61.36/15.46 a(b)(b(c)(c(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.46 a(b)(b(c)(c(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.46 a(b)(b(c)(c(b)(b(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) 61.36/15.46 b(b)(b(c)(c(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.46 b(b)(b(c)(c(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.46 b(b)(b(c)(c(b)(b(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 61.36/15.46 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.46 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.46 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.46 a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.46 a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.46 a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.46 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.46 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.46 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.46 a(b)(b(c)(c(c)(x1))) -> a(a)(a(c)(c(c)(x1))) 61.36/15.46 a(b)(b(c)(c(a)(x1))) -> a(a)(a(c)(c(a)(x1))) 61.36/15.46 a(b)(b(c)(c(b)(x1))) -> a(a)(a(c)(c(b)(x1))) 61.36/15.46 Matrix Interpretation Processor: dim=3 61.36/15.46 61.36/15.46 interpretation: 61.36/15.46 [1 0 0] [0] 61.36/15.46 [b(b)](x0) = [0 1 0]x0 + [1] 61.36/15.46 [0 0 0] [0], 61.36/15.46 61.36/15.46 [1 1 0] 61.36/15.46 [a(b)](x0) = [0 0 0]x0 61.36/15.46 [0 0 0] , 61.36/15.46 61.36/15.46 [1 0 0] 61.36/15.46 [b(a)](x0) = [0 0 0]x0 61.36/15.46 [0 0 0] , 61.36/15.46 61.36/15.46 [1 0 1] 61.36/15.46 [b(c)](x0) = [0 0 0]x0 61.36/15.46 [0 0 0] , 61.36/15.46 61.36/15.46 [1 0 0] 61.36/15.46 [c(b)](x0) = [0 0 0]x0 61.36/15.47 [0 1 0] , 61.36/15.47 61.36/15.47 [1 0 0] 61.36/15.47 [c(c)](x0) = [0 0 0]x0 61.36/15.47 [0 0 0] , 61.36/15.47 61.36/15.47 [1 0 1] [0] 61.36/15.47 [a(c)](x0) = [0 0 0]x0 + [0] 61.36/15.47 [0 0 0] [1], 61.36/15.47 61.36/15.47 [1 0 0] 61.36/15.47 [a(a)](x0) = [0 0 0]x0 61.36/15.47 [0 0 0] , 61.36/15.47 61.36/15.47 [1 0 0] 61.36/15.47 [c(a)](x0) = [0 0 0]x0 61.36/15.47 [0 0 0] 61.36/15.47 orientation: 61.36/15.47 [1 0 1] [1 0 1] 61.36/15.47 c(a)(a(a)(a(c)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(c)(c(b)(b(c)(x1))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 0] [1 0 0] 61.36/15.47 c(a)(a(a)(a(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(c)(c(b)(b(a)(x1))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 1 0] [1 0 0] 61.36/15.47 c(a)(a(a)(a(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(c)(c(b)(b(b)(x1))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 1] [1 0 1] 61.36/15.47 c(a)(a(b)(b(c)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(a)(a(c)(x1))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 0] [1 0 0] 61.36/15.47 c(a)(a(b)(b(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(a)(a(a)(x1))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 1 0] [1] [1 1 0] 61.36/15.47 c(a)(a(b)(b(b)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(b)(b(a)(a(b)(x1))) 61.36/15.47 [0 0 0] [0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 1] [0] [1 0 0] [0] 61.36/15.47 b(b)(b(a)(a(c)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(b)(b(c)(c(c)(x1))) 61.36/15.47 [0 0 0] [0] [0 0 0] [0] 61.36/15.47 61.36/15.47 [1 0 0] [0] [1 0 0] [0] 61.36/15.47 b(b)(b(a)(a(a)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(b)(b(c)(c(a)(x1))) 61.36/15.47 [0 0 0] [0] [0 0 0] [0] 61.36/15.47 61.36/15.47 [1 1 0] [0] [1 1 0] [0] 61.36/15.47 b(b)(b(a)(a(b)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(b)(b(c)(c(b)(x1))) 61.36/15.47 [0 0 0] [0] [0 0 0] [0] 61.36/15.47 61.36/15.47 [1 0 1] [1 0 1] 61.36/15.47 c(b)(b(c)(c(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 0] [1 0 0] 61.36/15.47 c(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 1 0] [1] [1 1 0] 61.36/15.47 c(b)(b(c)(c(b)(b(b)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(b)(x1)))) 61.36/15.47 [0 0 0] [0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 1] [1 0 1] 61.36/15.47 a(b)(b(c)(c(b)(b(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 0] [1 0 0] 61.36/15.47 a(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 1 0] [1] [1 1 0] 61.36/15.47 a(b)(b(c)(c(b)(b(b)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(b)(x1)))) 61.36/15.47 [0 0 0] [0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 1] [0] [1 0 1] 61.36/15.47 b(b)(b(c)(c(b)(b(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.47 [0 0 0] [0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 0] [0] [1 0 0] 61.36/15.47 b(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.47 [0 0 0] [0] [0 0 0] 61.36/15.47 61.36/15.47 [1 1 0] [1] [1 1 0] 61.36/15.47 b(b)(b(c)(c(b)(b(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(b)(x1)))) 61.36/15.47 [0 0 0] [0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 1] [1 0 1] 61.36/15.47 c(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 0] [1 0 0] 61.36/15.47 c(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 1 0] [1 1 0] 61.36/15.47 c(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 1] [0] [1 0 1] 61.36/15.47 a(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.47 [0 0 0] [1] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 0] [0] [1 0 0] 61.36/15.47 a(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.47 [0 0 0] [1] [0 0 0] 61.36/15.47 61.36/15.47 [1 1 0] [0] [1 1 0] 61.36/15.47 a(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.47 [0 0 0] [1] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 1] [1 0 1] 61.36/15.47 b(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.47 61.36/15.47 [1 0 0] [1 0 0] 61.36/15.47 b(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.47 [0 0 0] [0 0 0] 61.36/15.48 61.36/15.48 [1 1 0] [1 1 0] 61.36/15.48 b(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.48 [0 0 0] [0 0 0] 61.36/15.48 61.36/15.48 [1 0 0] [1 0 0] 61.36/15.48 a(b)(b(c)(c(c)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(c)(x1))) 61.36/15.48 [0 0 0] [0 0 0] 61.36/15.48 61.36/15.48 [1 0 0] [1 0 0] 61.36/15.48 a(b)(b(c)(c(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(a)(x1))) 61.36/15.48 [0 0 0] [0 0 0] 61.36/15.48 61.36/15.48 [1 1 0] [1 1 0] 61.36/15.48 a(b)(b(c)(c(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(b)(x1))) 61.36/15.48 [0 0 0] [0 0 0] 61.36/15.48 problem: 61.36/15.48 c(a)(a(a)(a(c)(x1))) -> c(c)(c(b)(b(c)(x1))) 61.36/15.48 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.36/15.48 c(a)(a(a)(a(b)(x1))) -> c(c)(c(b)(b(b)(x1))) 61.36/15.48 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(x1))) 61.36/15.48 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.36/15.48 b(b)(b(a)(a(c)(x1))) -> b(b)(b(c)(c(c)(x1))) 61.36/15.48 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.36/15.48 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.36/15.48 c(b)(b(c)(c(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.48 c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.48 a(b)(b(c)(c(b)(b(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.48 a(b)(b(c)(c(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.48 b(b)(b(c)(c(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.48 b(b)(b(c)(c(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.48 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.48 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.48 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.48 a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.48 a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.48 a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.48 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.48 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.48 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.48 a(b)(b(c)(c(c)(x1))) -> a(a)(a(c)(c(c)(x1))) 61.36/15.48 a(b)(b(c)(c(a)(x1))) -> a(a)(a(c)(c(a)(x1))) 61.36/15.48 a(b)(b(c)(c(b)(x1))) -> a(a)(a(c)(c(b)(x1))) 61.36/15.48 Matrix Interpretation Processor: dim=3 61.36/15.48 61.36/15.48 interpretation: 61.36/15.48 [1 0 0] [0] 61.36/15.48 [b(b)](x0) = [0 0 0]x0 + [1] 61.36/15.48 [0 0 0] [0], 61.36/15.48 61.36/15.48 [1 0 0] 61.36/15.48 [a(b)](x0) = [1 0 0]x0 61.36/15.48 [0 1 1] , 61.36/15.48 61.36/15.48 [1 0 1] 61.36/15.48 [b(a)](x0) = [0 0 0]x0 61.36/15.48 [0 0 0] , 61.36/15.48 61.36/15.48 [1 0 1] [0] 61.36/15.48 [b(c)](x0) = [0 0 0]x0 + [1] 61.36/15.48 [0 1 0] [0], 61.36/15.48 61.36/15.48 [1 0 0] 61.36/15.48 [c(b)](x0) = [1 0 0]x0 61.36/15.48 [0 1 0] , 61.36/15.48 61.36/15.48 [1 0 0] 61.36/15.48 [c(c)](x0) = [0 1 0]x0 61.36/15.48 [0 0 0] , 61.36/15.48 61.36/15.48 [1 0 1] [0] 61.36/15.48 [a(c)](x0) = [0 1 0]x0 + [0] 61.36/15.48 [0 0 0] [1], 61.36/15.48 61.36/15.48 [1 0 0] 61.36/15.48 [a(a)](x0) = [1 0 0]x0 61.36/15.48 [0 0 1] , 61.36/15.48 61.36/15.48 [1 0 1] 61.36/15.48 [c(a)](x0) = [0 1 1]x0 61.36/15.48 [0 0 0] 61.36/15.48 orientation: 61.36/15.48 [1 0 1] [1] [1 0 1] 61.36/15.48 c(a)(a(a)(a(c)(x1))) = [1 0 1]x1 + [1] >= [1 0 1]x1 = c(c)(c(b)(b(c)(x1))) 61.36/15.48 [0 0 0] [0] [0 0 0] 61.36/15.48 61.36/15.48 [1 0 1] [1 0 1] 61.36/15.48 c(a)(a(a)(a(a)(x1))) = [1 0 1]x1 >= [1 0 1]x1 = c(c)(c(b)(b(a)(x1))) 61.36/15.48 [0 0 0] [0 0 0] 61.36/15.48 61.36/15.48 [1 1 1] [1 0 0] 61.36/15.48 c(a)(a(a)(a(b)(x1))) = [1 1 1]x1 >= [1 0 0]x1 = c(c)(c(b)(b(b)(x1))) 61.36/15.48 [0 0 0] [0 0 0] 61.36/15.48 61.36/15.48 [1 1 1] [1] [1 0 1] [1] 61.36/15.48 c(a)(a(b)(b(c)(x1))) = [1 1 1]x1 + [1] >= [1 0 1]x1 + [1] = c(b)(b(a)(a(c)(x1))) 61.36/15.48 [0 0 0] [0] [0 0 0] [0] 61.36/15.48 61.36/15.48 [1 0 1] [1 0 1] 61.36/15.48 c(a)(a(b)(b(a)(x1))) = [1 0 1]x1 >= [1 0 1]x1 = c(b)(b(a)(a(a)(x1))) 61.36/15.48 [0 0 0] [0 0 0] 61.36/15.48 61.36/15.48 [1 0 1] [1] [1 0 0] [0] 61.36/15.48 b(b)(b(a)(a(c)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(b)(b(c)(c(c)(x1))) 61.36/15.48 [0 0 0] [0] [0 0 0] [0] 61.36/15.48 61.36/15.48 [1 0 1] [0] [1 0 1] [0] 61.36/15.48 b(b)(b(a)(a(a)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(b)(b(c)(c(a)(x1))) 61.36/15.49 [0 0 0] [0] [0 0 0] [0] 61.36/15.49 61.36/15.49 [1 1 1] [0] [1 1 0] [0] 61.36/15.49 b(b)(b(a)(a(b)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(b)(b(c)(c(b)(x1))) 61.36/15.49 [0 0 0] [0] [0 0 0] [0] 61.36/15.49 61.36/15.49 [1 0 1] [1] [1 0 1] [1] 61.36/15.49 c(b)(b(c)(c(b)(b(c)(x1)))) = [1 0 1]x1 + [1] >= [1 0 1]x1 + [1] = c(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.49 [0 0 0] [1] [0 0 0] [0] 61.36/15.49 61.36/15.49 [1 0 1] [0] [1 0 1] 61.36/15.49 c(b)(b(c)(c(b)(b(a)(x1)))) = [1 0 1]x1 + [0] >= [1 0 1]x1 = c(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.49 [0 0 0] [1] [0 0 0] 61.36/15.49 61.36/15.49 [1 0 1] [1] [1 0 1] [0] 61.36/15.49 a(b)(b(c)(c(b)(b(c)(x1)))) = [1 0 1]x1 + [1] >= [1 0 1]x1 + [0] = a(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.49 [1 0 1] [1] [0 0 0] [1] 61.36/15.49 61.36/15.49 [1 0 1] [0] [1 0 0] 61.36/15.49 a(b)(b(c)(c(b)(b(a)(x1)))) = [1 0 1]x1 + [0] >= [1 0 0]x1 = a(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.49 [1 0 1] [1] [0 0 1] 61.36/15.49 61.36/15.49 [1 0 1] [1] [1 0 1] [1] 61.36/15.49 b(b)(b(c)(c(b)(b(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [0] = b(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.49 [0 0 0] [0] [0 0 0] [0] 61.36/15.49 61.36/15.49 [1 0 1] [0] [1 0 1] 61.36/15.49 b(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.49 [0 0 0] [0] [0 0 0] 61.36/15.49 61.36/15.49 [1 0 1] [1] [1 0 1] [1] 61.36/15.49 c(c)(c(a)(a(a)(a(c)(x1)))) = [1 0 1]x1 + [1] >= [1 0 1]x1 + [1] = c(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.49 [0 0 0] [0] [0 0 0] [0] 61.36/15.49 61.36/15.49 [1 0 1] [1 0 1] 61.36/15.49 c(c)(c(a)(a(a)(a(a)(x1)))) = [1 0 1]x1 >= [1 0 1]x1 = c(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.49 [0 0 0] [0 0 0] 61.36/15.49 61.36/15.49 [1 1 1] [1 1 1] 61.36/15.49 c(c)(c(a)(a(a)(a(b)(x1)))) = [1 1 1]x1 >= [1 1 1]x1 = c(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.49 [0 0 0] [0 0 0] 61.36/15.49 61.36/15.49 [1 0 1] [1] [1 0 1] [1] 61.36/15.49 a(c)(c(a)(a(a)(a(c)(x1)))) = [1 0 1]x1 + [1] >= [1 0 1]x1 + [1] = a(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.49 [0 0 0] [1] [0 0 0] [0] 61.36/15.49 61.36/15.49 [1 0 1] [0] [1 0 1] 61.36/15.49 a(c)(c(a)(a(a)(a(a)(x1)))) = [1 0 1]x1 + [0] >= [1 0 1]x1 = a(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.49 [0 0 0] [1] [0 0 0] 61.36/15.49 61.36/15.49 [1 1 1] [0] [1 1 1] 61.36/15.49 a(c)(c(a)(a(a)(a(b)(x1)))) = [1 1 1]x1 + [0] >= [1 1 1]x1 = a(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.49 [0 0 0] [1] [0 0 0] 61.36/15.49 61.36/15.49 [1 0 1] [1] [1 0 1] [1] 61.36/15.49 b(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [0] = b(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.49 [1 0 1] [1] [0 0 0] [0] 61.36/15.50 61.36/15.50 [1 0 1] [0] [1 0 1] 61.36/15.50 b(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.50 [1 0 1] [0] [0 0 0] 61.36/15.50 61.36/15.50 [1 1 1] [0] [1 1 1] 61.36/15.50 b(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.50 [1 1 1] [0] [0 0 0] 61.36/15.50 61.36/15.50 [1 0 0] [0] [1 0 0] [0] 61.36/15.50 a(b)(b(c)(c(c)(x1))) = [1 0 0]x1 + [0] >= [1 0 0]x1 + [0] = a(a)(a(c)(c(c)(x1))) 61.36/15.50 [0 1 0] [1] [0 0 0] [1] 61.36/15.50 61.36/15.50 [1 0 1] [0] [1 0 1] [0] 61.36/15.50 a(b)(b(c)(c(a)(x1))) = [1 0 1]x1 + [0] >= [1 0 1]x1 + [0] = a(a)(a(c)(c(a)(x1))) 61.36/15.50 [0 1 1] [1] [0 0 0] [1] 61.36/15.50 61.36/15.50 [1 1 0] [0] [1 1 0] [0] 61.36/15.50 a(b)(b(c)(c(b)(x1))) = [1 1 0]x1 + [0] >= [1 1 0]x1 + [0] = a(a)(a(c)(c(b)(x1))) 61.36/15.50 [1 0 0] [1] [0 0 0] [1] 61.36/15.50 problem: 61.36/15.50 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.36/15.50 c(a)(a(a)(a(b)(x1))) -> c(c)(c(b)(b(b)(x1))) 61.36/15.50 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(x1))) 61.36/15.50 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.36/15.50 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.36/15.50 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.36/15.50 c(b)(b(c)(c(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.50 c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.50 a(b)(b(c)(c(b)(b(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.50 b(b)(b(c)(c(b)(b(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.50 b(b)(b(c)(c(b)(b(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.50 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.50 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.50 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.50 a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.50 a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.50 a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.50 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.50 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.50 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.50 a(b)(b(c)(c(c)(x1))) -> a(a)(a(c)(c(c)(x1))) 61.36/15.50 a(b)(b(c)(c(a)(x1))) -> a(a)(a(c)(c(a)(x1))) 61.36/15.50 a(b)(b(c)(c(b)(x1))) -> a(a)(a(c)(c(b)(x1))) 61.36/15.50 Matrix Interpretation Processor: dim=3 61.36/15.50 61.36/15.50 interpretation: 61.36/15.50 [1 0 1] [0] 61.36/15.50 [b(b)](x0) = [0 0 0]x0 + [0] 61.36/15.50 [0 0 0] [1], 61.36/15.50 61.36/15.50 [1 1 0] 61.36/15.50 [a(b)](x0) = [0 0 1]x0 61.36/15.50 [0 0 0] , 61.36/15.50 61.36/15.50 [1 0 0] [0] 61.36/15.50 [b(a)](x0) = [0 1 0]x0 + [0] 61.36/15.50 [0 0 0] [1], 61.36/15.50 61.36/15.50 [1 0 1] 61.36/15.50 [b(c)](x0) = [0 1 0]x0 61.36/15.50 [0 1 0] , 61.36/15.50 61.36/15.50 [1 0 0] [0] 61.36/15.50 [c(b)](x0) = [0 0 0]x0 + [1] 61.36/15.50 [0 1 0] [0], 61.36/15.50 61.36/15.50 [1 0 0] 61.36/15.50 [c(c)](x0) = [0 1 0]x0 61.36/15.50 [0 0 0] , 61.36/15.50 61.36/15.50 [1 1 0] 61.36/15.50 [a(c)](x0) = [0 0 0]x0 61.36/15.50 [0 0 0] , 61.36/15.50 61.36/15.50 [1 1 0] 61.36/15.50 [a(a)](x0) = [0 0 0]x0 61.36/15.50 [0 0 0] , 61.36/15.50 61.36/15.50 [1 0 0] [0] 61.36/15.50 [c(a)](x0) = [0 0 0]x0 + [1] 61.36/15.50 [0 0 0] [0] 61.36/15.50 orientation: 61.36/15.50 [1 1 0] [0] [1 0 0] [0] 61.36/15.50 c(a)(a(a)(a(a)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(c)(c(b)(b(a)(x1))) 61.36/15.50 [0 0 0] [0] [0 0 0] [0] 61.36/15.51 61.36/15.51 [1 1 1] [0] [1 0 1] [0] 61.36/15.51 c(a)(a(a)(a(b)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(c)(c(b)(b(b)(x1))) 61.36/15.51 [0 0 0] [0] [0 0 0] [0] 61.36/15.51 61.36/15.51 [1 1 1] [0] [1 1 0] [0] 61.36/15.51 c(a)(a(b)(b(c)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(a)(a(c)(x1))) 61.36/15.51 [0 0 0] [0] [0 0 0] [0] 61.36/15.51 61.36/15.51 [1 1 0] [0] [1 1 0] [0] 61.36/15.51 c(a)(a(b)(b(a)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(a)(a(a)(x1))) 61.36/15.51 [0 0 0] [0] [0 0 0] [0] 61.36/15.51 61.36/15.51 [1 1 0] [1] [1 0 0] [1] 61.36/15.51 b(b)(b(a)(a(a)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(b)(b(c)(c(a)(x1))) 61.36/15.51 [0 0 0] [1] [0 0 0] [1] 61.36/15.51 61.36/15.51 [1 1 0] [1] [1 1 0] [1] 61.36/15.51 b(b)(b(a)(a(b)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(b)(b(c)(c(b)(x1))) 61.36/15.51 [0 0 0] [1] [0 0 0] [1] 61.36/15.51 61.36/15.51 [1 1 1] [0] [1 1 0] [0] 61.36/15.51 c(b)(b(c)(c(b)(b(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.51 [0 0 0] [1] [0 0 0] [0] 61.36/15.51 61.36/15.51 [1 1 0] [0] [1 1 0] [0] 61.36/15.51 c(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.51 [0 0 0] [1] [0 0 0] [0] 61.36/15.51 61.36/15.51 [1 1 0] [1] [1 1 0] 61.36/15.51 a(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = a(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.51 [0 0 0] [0] [0 0 0] 61.36/15.51 61.36/15.51 [1 1 1] [1] [1 1 0] [0] 61.36/15.51 b(b)(b(c)(c(b)(b(c)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.51 [0 0 0] [1] [0 0 0] [1] 61.36/15.51 61.36/15.51 [1 1 0] [1] [1 1 0] [0] 61.36/15.51 b(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.51 [0 0 0] [1] [0 0 0] [1] 61.36/15.51 61.36/15.51 [1 1 0] [0] [1 1 0] [0] 61.36/15.51 c(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.51 [0 0 0] [0] [0 0 0] [0] 61.36/15.51 61.36/15.51 [1 1 0] [0] [1 1 0] [0] 61.36/15.51 c(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.51 [0 0 0] [0] [0 0 0] [0] 61.36/15.51 61.36/15.51 [1 1 1] [0] [1 1 1] [0] 61.36/15.51 c(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.51 [0 0 0] [0] [0 0 0] [0] 61.36/15.51 61.36/15.51 [1 1 0] [1] [1 1 0] [1] 61.36/15.51 a(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.51 [0 0 0] [0] [0 0 0] [0] 61.36/15.52 61.36/15.52 [1 1 0] [1] [1 1 0] [1] 61.36/15.52 a(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.52 [0 0 0] [0] [0 0 0] [0] 61.36/15.52 61.36/15.52 [1 1 1] [1] [1 1 1] [1] 61.36/15.52 a(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.52 [0 0 0] [0] [0 0 0] [0] 61.36/15.52 61.36/15.52 [1 1 0] [0] [1 1 0] [0] 61.36/15.52 b(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.52 [0 0 0] [1] [0 0 0] [1] 61.36/15.52 61.36/15.52 [1 1 0] [0] [1 1 0] [0] 61.36/15.52 b(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.52 [0 0 0] [1] [0 0 0] [1] 61.36/15.52 61.36/15.52 [1 1 1] [0] [1 1 1] [0] 61.36/15.52 b(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.52 [0 0 0] [1] [0 0 0] [1] 61.36/15.52 61.36/15.52 [1 1 0] [1 1 0] 61.36/15.52 a(b)(b(c)(c(c)(x1))) = [0 1 0]x1 >= [0 0 0]x1 = a(a)(a(c)(c(c)(x1))) 61.36/15.52 [0 0 0] [0 0 0] 61.36/15.52 61.36/15.52 [1 0 0] [1] [1 0 0] [1] 61.36/15.52 a(b)(b(c)(c(a)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [0] = a(a)(a(c)(c(a)(x1))) 61.36/15.52 [0 0 0] [0] [0 0 0] [0] 61.36/15.52 61.36/15.52 [1 1 0] [1] [1 0 0] [1] 61.36/15.52 a(b)(b(c)(c(b)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [0] = a(a)(a(c)(c(b)(x1))) 61.36/15.52 [0 0 0] [0] [0 0 0] [0] 61.36/15.52 problem: 61.36/15.52 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.36/15.52 c(a)(a(a)(a(b)(x1))) -> c(c)(c(b)(b(b)(x1))) 61.36/15.52 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(x1))) 61.36/15.52 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.36/15.52 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.36/15.52 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.36/15.52 c(b)(b(c)(c(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 61.36/15.52 c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 61.36/15.52 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.52 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.52 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.52 a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.52 a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.52 a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.52 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.36/15.52 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.36/15.52 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.36/15.52 a(b)(b(c)(c(c)(x1))) -> a(a)(a(c)(c(c)(x1))) 61.36/15.52 a(b)(b(c)(c(a)(x1))) -> a(a)(a(c)(c(a)(x1))) 61.36/15.52 a(b)(b(c)(c(b)(x1))) -> a(a)(a(c)(c(b)(x1))) 61.36/15.52 Matrix Interpretation Processor: dim=3 61.36/15.52 61.36/15.52 interpretation: 61.36/15.52 [1 0 0] 61.36/15.52 [b(b)](x0) = [0 0 0]x0 61.36/15.52 [0 0 0] , 61.36/15.52 61.36/15.52 [1 1 0] 61.36/15.52 [a(b)](x0) = [0 1 0]x0 61.36/15.52 [0 0 1] , 61.36/15.52 61.36/15.52 [1 0 0] 61.36/15.52 [b(a)](x0) = [0 0 0]x0 61.36/15.52 [0 1 0] , 61.36/15.52 61.36/15.52 [1 0 0] [0] 61.36/15.52 [b(c)](x0) = [0 0 0]x0 + [1] 61.36/15.52 [0 0 0] [0], 61.36/15.52 61.36/15.52 [1 0 0] 61.36/15.52 [c(b)](x0) = [0 0 1]x0 61.50/15.52 [1 1 0] , 61.50/15.52 61.50/15.52 [1 0 0] 61.50/15.52 [c(c)](x0) = [0 0 0]x0 61.50/15.52 [0 0 1] , 61.50/15.52 61.50/15.52 [1 0 0] 61.50/15.52 [a(c)](x0) = [0 0 0]x0 61.50/15.52 [0 0 0] , 61.50/15.52 61.50/15.52 [1 0 0] 61.50/15.52 [a(a)](x0) = [0 0 0]x0 61.50/15.52 [0 0 0] , 61.50/15.52 61.50/15.52 [1 0 0] 61.50/15.52 [c(a)](x0) = [0 0 0]x0 61.50/15.52 [1 0 0] 61.50/15.52 orientation: 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 c(a)(a(a)(a(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(c)(c(b)(b(a)(x1))) 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 61.50/15.52 [1 1 0] [1 0 0] 61.50/15.52 c(a)(a(a)(a(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(c)(c(b)(b(b)(x1))) 61.50/15.52 [1 1 0] [1 0 0] 61.50/15.52 61.50/15.52 [1 0 0] [1] [1 0 0] 61.50/15.52 c(a)(a(b)(b(c)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(b)(b(a)(a(c)(x1))) 61.50/15.52 [1 0 0] [1] [1 0 0] 61.50/15.52 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 c(a)(a(b)(b(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(a)(a(a)(x1))) 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 b(b)(b(a)(a(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(a)(x1))) 61.50/15.52 [0 0 0] [0 0 0] 61.50/15.52 61.50/15.52 [1 1 0] [1 0 0] 61.50/15.52 b(b)(b(a)(a(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(b)(x1))) 61.50/15.52 [0 0 0] [0 0 0] 61.50/15.52 61.50/15.52 [1 0 0] [0] [1 0 0] 61.50/15.52 c(b)(b(c)(c(b)(b(c)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(c)(x1)))) 61.50/15.52 [1 0 0] [1] [1 0 0] 61.50/15.52 61.50/15.52 [1 0 0] [0] [1 0 0] 61.50/15.52 c(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(a)(x1)))) 61.50/15.52 [1 0 0] [1] [1 0 0] 61.50/15.52 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 c(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 c(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 61.50/15.52 [1 1 0] [1 1 0] 61.50/15.52 c(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.52 [1 1 0] [1 1 0] 61.50/15.52 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 a(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.52 [0 0 0] [0 0 0] 61.50/15.52 61.50/15.52 [1 0 0] [1 0 0] 61.50/15.52 a(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.52 [0 0 0] [0 0 0] 61.50/15.52 61.50/15.52 [1 1 0] [1 1 0] 61.50/15.52 a(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.52 [0 0 0] [0 0 0] 61.50/15.53 61.50/15.53 [1 0 0] [0] [1 0 0] 61.50/15.53 b(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.53 [0 0 0] [0] [0 0 0] 61.50/15.53 61.50/15.53 [1 0 0] [0] [1 0 0] 61.50/15.53 b(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.53 [0 0 0] [0] [0 0 0] 61.50/15.53 61.50/15.53 [1 1 0] [0] [1 1 0] 61.50/15.53 b(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.53 [0 0 0] [0] [0 0 0] 61.50/15.53 61.50/15.53 [1 0 0] [1] [1 0 0] 61.50/15.53 a(b)(b(c)(c(c)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = a(a)(a(c)(c(c)(x1))) 61.50/15.53 [0 0 0] [0] [0 0 0] 61.50/15.53 61.50/15.53 [1 0 0] [1] [1 0 0] 61.50/15.53 a(b)(b(c)(c(a)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = a(a)(a(c)(c(a)(x1))) 61.50/15.53 [0 0 0] [0] [0 0 0] 61.50/15.53 61.50/15.53 [1 0 0] [1] [1 0 0] 61.50/15.53 a(b)(b(c)(c(b)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = a(a)(a(c)(c(b)(x1))) 61.50/15.53 [0 0 0] [0] [0 0 0] 61.50/15.53 problem: 61.50/15.53 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.50/15.53 c(a)(a(a)(a(b)(x1))) -> c(c)(c(b)(b(b)(x1))) 61.50/15.53 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.50/15.53 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.50/15.53 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.50/15.53 c(b)(b(c)(c(b)(b(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) 61.50/15.53 c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 61.50/15.53 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.53 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.53 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.53 a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.53 a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.53 a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.53 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.53 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.53 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.53 Matrix Interpretation Processor: dim=3 61.50/15.53 61.50/15.53 interpretation: 61.50/15.53 [1 0 0] 61.50/15.53 [b(b)](x0) = [0 0 0]x0 61.50/15.53 [0 0 0] , 61.50/15.53 61.50/15.53 [1 1 1] [0] 61.50/15.53 [a(b)](x0) = [0 0 0]x0 + [0] 61.50/15.53 [1 0 0] [1], 61.50/15.53 61.50/15.53 [1 0 0] 61.50/15.53 [b(a)](x0) = [0 0 0]x0 61.50/15.53 [0 1 0] , 61.50/15.53 61.50/15.53 [1 1 0] [0] 61.50/15.53 [b(c)](x0) = [1 0 0]x0 + [0] 61.50/15.53 [0 0 0] [1], 61.50/15.53 61.50/15.53 [1 0 0] 61.50/15.53 [c(b)](x0) = [0 0 1]x0 61.50/15.53 [0 0 1] , 61.50/15.53 61.50/15.53 [1 0 1] 61.50/15.53 [c(c)](x0) = [0 0 0]x0 61.50/15.53 [0 0 0] , 61.50/15.53 61.50/15.53 [1 0 0] 61.50/15.53 [a(c)](x0) = [0 1 0]x0 61.50/15.53 [1 0 0] , 61.50/15.53 61.50/15.53 [1 1 0] 61.50/15.53 [a(a)](x0) = [0 0 0]x0 61.50/15.53 [1 0 0] , 61.50/15.53 61.50/15.53 [1 0 0] 61.50/15.53 [c(a)](x0) = [0 0 0]x0 61.50/15.53 [0 0 0] 61.50/15.53 orientation: 61.50/15.53 [1 1 0] [1 1 0] 61.50/15.53 c(a)(a(a)(a(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(c)(c(b)(b(a)(x1))) 61.50/15.53 [0 0 0] [0 0 0] 61.50/15.53 61.50/15.53 [1 1 1] [1 0 0] 61.50/15.54 c(a)(a(a)(a(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(c)(c(b)(b(b)(x1))) 61.50/15.54 [0 0 0] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 0] [1 1 0] 61.50/15.54 c(a)(a(b)(b(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(a)(a(a)(x1))) 61.50/15.54 [0 0 0] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 0] [1 0 0] 61.50/15.54 b(b)(b(a)(a(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(a)(x1))) 61.50/15.54 [0 0 0] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 1] [1 0 1] 61.50/15.54 b(b)(b(a)(a(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(b)(x1))) 61.50/15.54 [0 0 0] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 0] [1] [1 1 0] 61.50/15.54 c(b)(b(c)(c(b)(b(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(c)(x1)))) 61.50/15.54 [0 0 0] [1] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 0] [0] [1 1 0] 61.50/15.54 c(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(a)(x1)))) 61.50/15.54 [0 0 0] [1] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 0] [1 1 0] 61.50/15.54 c(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.54 [0 0 0] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 0] [1 1 0] 61.50/15.54 c(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.54 [0 0 0] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 1] [1 1 1] 61.50/15.54 c(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.54 [0 0 0] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 0] [1 1 0] 61.50/15.54 a(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.54 [1 1 0] [1 1 0] 61.50/15.54 61.50/15.54 [1 1 0] [1 1 0] 61.50/15.54 a(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.54 [1 1 0] [1 1 0] 61.50/15.54 61.50/15.54 [1 1 1] [1 1 1] 61.50/15.54 a(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.54 [1 1 1] [1 1 1] 61.50/15.54 61.50/15.54 [1 1 0] [0] [1 1 0] 61.50/15.54 b(c)(c(a)(a(a)(a(c)(x1)))) = [1 1 0]x1 + [0] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.54 [0 0 0] [1] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 0] [0] [1 1 0] 61.50/15.54 b(c)(c(a)(a(a)(a(a)(x1)))) = [1 1 0]x1 + [0] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.54 [0 0 0] [1] [0 0 0] 61.50/15.54 61.50/15.54 [1 1 1] [0] [1 1 1] 61.50/15.54 b(c)(c(a)(a(a)(a(b)(x1)))) = [1 1 1]x1 + [0] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.54 [0 0 0] [1] [0 0 0] 61.50/15.55 problem: 61.50/15.55 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.50/15.55 c(a)(a(a)(a(b)(x1))) -> c(c)(c(b)(b(b)(x1))) 61.50/15.55 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.50/15.55 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.50/15.55 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.50/15.55 c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 61.50/15.55 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.55 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.55 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.55 a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.55 a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.55 a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.55 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.55 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.55 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.55 Matrix Interpretation Processor: dim=3 61.50/15.55 61.50/15.55 interpretation: 61.50/15.55 [1 0 1] 61.50/15.55 [b(b)](x0) = [0 0 0]x0 61.50/15.55 [0 0 0] , 61.50/15.55 61.50/15.55 [1 0 1] 61.50/15.55 [a(b)](x0) = [0 0 0]x0 61.50/15.55 [0 0 0] , 61.50/15.55 61.50/15.55 [1 0 0] 61.50/15.55 [b(a)](x0) = [0 0 1]x0 61.50/15.55 [0 1 0] , 61.50/15.55 61.50/15.55 [1 0 0] 61.50/15.55 [b(c)](x0) = [0 0 1]x0 61.50/15.55 [0 1 0] , 61.50/15.55 61.50/15.55 [1 0 1] [0] 61.50/15.55 [c(b)](x0) = [0 0 0]x0 + [0] 61.50/15.55 [0 0 0] [1], 61.50/15.55 61.50/15.55 [1 0 0] [0] 61.50/15.55 [c(c)](x0) = [0 0 0]x0 + [0] 61.50/15.55 [0 0 0] [1], 61.50/15.55 61.50/15.55 [1 0 1] 61.50/15.55 [a(c)](x0) = [0 0 0]x0 61.50/15.55 [0 0 0] , 61.50/15.55 61.50/15.55 [1 1 0] 61.50/15.55 [a(a)](x0) = [0 0 0]x0 61.50/15.55 [0 0 1] , 61.50/15.55 61.50/15.55 [1 0 0] [0] 61.50/15.55 [c(a)](x0) = [0 1 0]x0 + [0] 61.50/15.55 [0 0 0] [1] 61.50/15.55 orientation: 61.50/15.55 [1 1 0] [0] [1 1 0] [0] 61.50/15.55 c(a)(a(a)(a(a)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = c(c)(c(b)(b(a)(x1))) 61.50/15.55 [0 0 0] [1] [0 0 0] [1] 61.50/15.55 61.50/15.55 [1 0 1] [0] [1 0 1] [0] 61.50/15.55 c(a)(a(a)(a(b)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = c(c)(c(b)(b(b)(x1))) 61.50/15.55 [0 0 0] [1] [0 0 0] [1] 61.50/15.55 61.50/15.55 [1 1 0] [0] [1 1 0] [0] 61.50/15.55 c(a)(a(b)(b(a)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = c(b)(b(a)(a(a)(x1))) 61.50/15.55 [0 0 0] [1] [0 0 0] [1] 61.50/15.55 61.50/15.55 [1 1 0] [1 1 0] 61.50/15.55 b(b)(b(a)(a(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(a)(x1))) 61.50/15.55 [0 0 0] [0 0 0] 61.50/15.55 61.50/15.55 [1 0 1] [1 0 1] 61.50/15.55 b(b)(b(a)(a(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(b)(x1))) 61.50/15.55 [0 0 0] [0 0 0] 61.50/15.55 61.50/15.55 [1 1 0] [0] [1 1 0] [0] 61.50/15.55 c(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = c(a)(a(a)(a(a)(a(a)(x1)))) 61.50/15.55 [0 0 0] [1] [0 0 0] [1] 61.50/15.55 61.50/15.55 [1 0 1] [0] [1 0 1] [0] 61.50/15.55 c(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.55 [0 0 0] [1] [0 0 0] [1] 61.50/15.55 61.50/15.55 [1 1 0] [0] [1 1 0] [0] 61.50/15.56 c(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.56 [0 0 0] [1] [0 0 0] [1] 61.50/15.56 61.50/15.56 [1 0 1] [0] [1 0 1] [0] 61.50/15.56 c(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.56 [0 0 0] [1] [0 0 0] [1] 61.50/15.56 61.50/15.56 [1 0 1] [1] [1 0 1] 61.50/15.56 a(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.56 [0 0 0] [0] [0 0 0] 61.50/15.56 61.50/15.56 [1 1 0] [1] [1 1 0] 61.50/15.56 a(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.56 [0 0 0] [0] [0 0 0] 61.50/15.56 61.50/15.56 [1 0 1] [1] [1 0 1] 61.50/15.56 a(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = a(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.56 [0 0 0] [0] [0 0 0] 61.50/15.56 61.50/15.56 [1 0 1] [0] [1 0 1] 61.50/15.56 b(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.56 [0 0 0] [0] [0 0 0] 61.50/15.56 61.50/15.56 [1 1 0] [0] [1 1 0] 61.50/15.56 b(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.56 [0 0 0] [0] [0 0 0] 61.50/15.56 61.50/15.56 [1 0 1] [0] [1 0 1] 61.50/15.56 b(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.56 [0 0 0] [0] [0 0 0] 61.50/15.56 problem: 61.50/15.56 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.50/15.56 c(a)(a(a)(a(b)(x1))) -> c(c)(c(b)(b(b)(x1))) 61.50/15.56 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.50/15.56 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.50/15.56 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.50/15.56 c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 61.50/15.56 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.56 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.56 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.56 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.56 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.56 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.56 Matrix Interpretation Processor: dim=1 61.50/15.56 61.50/15.56 interpretation: 61.50/15.56 [b(b)](x0) = x0, 61.50/15.56 61.50/15.56 [a(b)](x0) = 2x0 + 1, 61.50/15.56 61.50/15.56 [b(a)](x0) = 2x0 + 1, 61.50/15.56 61.50/15.56 [b(c)](x0) = 2x0 + 3, 61.50/15.56 61.50/15.56 [c(b)](x0) = 2x0, 61.50/15.56 61.50/15.56 [c(c)](x0) = 2x0 + 2, 61.50/15.56 61.50/15.56 [a(c)](x0) = x0 + 1, 61.50/15.56 61.50/15.56 [a(a)](x0) = 2x0 + 1, 61.50/15.56 61.50/15.56 [c(a)](x0) = 2x0 61.50/15.56 orientation: 61.50/15.56 c(a)(a(a)(a(a)(x1))) = 8x1 + 6 >= 8x1 + 6 = c(c)(c(b)(b(a)(x1))) 61.50/15.56 61.50/15.56 c(a)(a(a)(a(b)(x1))) = 8x1 + 6 >= 4x1 + 2 = c(c)(c(b)(b(b)(x1))) 61.50/15.56 61.50/15.56 c(a)(a(b)(b(a)(x1))) = 8x1 + 6 >= 8x1 + 6 = c(b)(b(a)(a(a)(x1))) 61.50/15.56 61.50/15.56 b(b)(b(a)(a(a)(x1))) = 4x1 + 3 >= 4x1 + 3 = b(b)(b(c)(c(a)(x1))) 61.50/15.56 61.50/15.56 b(b)(b(a)(a(b)(x1))) = 4x1 + 3 >= 4x1 + 3 = b(b)(b(c)(c(b)(x1))) 61.50/15.56 61.50/15.56 c(b)(b(c)(c(b)(b(a)(x1)))) = 16x1 + 14 >= 16x1 + 14 = c(a)(a(a)(a(a)(a(a)(x1)))) 61.50/15.56 61.50/15.56 c(c)(c(a)(a(a)(a(c)(x1)))) = 8x1 + 14 >= 8x1 + 14 = c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.56 61.50/15.56 c(c)(c(a)(a(a)(a(a)(x1)))) = 16x1 + 14 >= 16x1 + 14 = c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.56 61.50/15.56 c(c)(c(a)(a(a)(a(b)(x1)))) = 16x1 + 14 >= 16x1 + 14 = c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.56 61.50/15.56 b(c)(c(a)(a(a)(a(c)(x1)))) = 8x1 + 15 >= 8x1 + 15 = b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.56 61.50/15.56 b(c)(c(a)(a(a)(a(a)(x1)))) = 16x1 + 15 >= 16x1 + 15 = b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.56 61.50/15.56 b(c)(c(a)(a(a)(a(b)(x1)))) = 16x1 + 15 >= 16x1 + 15 = b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.56 problem: 61.50/15.56 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.50/15.56 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.50/15.56 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.50/15.56 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.50/15.56 c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) 61.50/15.56 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.56 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.56 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.56 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.56 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.56 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.56 Matrix Interpretation Processor: dim=3 61.50/15.56 61.50/15.56 interpretation: 61.50/15.56 [1 0 0] 61.50/15.56 [b(b)](x0) = [0 0 0]x0 61.50/15.56 [0 0 0] , 61.50/15.56 61.50/15.56 [1 0 0] 61.50/15.56 [a(b)](x0) = [0 0 0]x0 61.50/15.56 [0 1 0] , 61.50/15.56 61.50/15.56 [1 1 1] 61.50/15.56 [b(a)](x0) = [0 0 0]x0 61.50/15.56 [0 0 0] , 61.50/15.56 61.50/15.56 [1 0 0] [0] 61.50/15.56 [b(c)](x0) = [0 0 0]x0 + [1] 61.50/15.56 [0 0 0] [1], 61.50/15.56 61.50/15.56 [1 1 0] 61.50/15.56 [c(b)](x0) = [0 0 0]x0 61.50/15.56 [0 1 0] , 61.50/15.56 61.50/15.56 [1 0 0] 61.50/15.56 [c(c)](x0) = [0 0 0]x0 61.50/15.56 [0 0 0] , 61.50/15.56 61.50/15.56 [1 0 0] 61.50/15.56 [a(c)](x0) = [0 0 0]x0 61.50/15.56 [0 0 0] , 61.50/15.56 61.50/15.56 [1 0 1] 61.50/15.56 [a(a)](x0) = [0 1 0]x0 61.50/15.56 [0 0 0] , 61.50/15.56 61.50/15.56 [1 1 0] 61.50/15.56 [c(a)](x0) = [0 0 0]x0 61.50/15.56 [0 0 0] 61.50/15.56 orientation: 61.50/15.56 [1 1 1] [1 1 1] 61.50/15.56 c(a)(a(a)(a(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(c)(c(b)(b(a)(x1))) 61.50/15.56 [0 0 0] [0 0 0] 61.50/15.56 61.50/15.56 [1 1 1] [1 1 1] 61.50/15.56 c(a)(a(b)(b(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(b)(b(a)(a(a)(x1))) 61.50/15.56 [0 0 0] [0 0 0] 61.50/15.56 61.50/15.56 [1 1 1] [1 1 0] 61.50/15.56 b(b)(b(a)(a(a)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(a)(x1))) 61.50/15.56 [0 0 0] [0 0 0] 61.50/15.56 61.50/15.56 [1 1 0] [1 1 0] 61.50/15.56 b(b)(b(a)(a(b)(x1))) = [0 0 0]x1 >= [0 0 0]x1 = b(b)(b(c)(c(b)(x1))) 61.50/15.56 [0 0 0] [0 0 0] 61.50/15.56 61.50/15.56 [1 1 1] [1] [1 1 1] 61.50/15.56 c(b)(b(c)(c(b)(b(a)(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(a)(a(a)(a(a)(a(a)(x1)))) 61.50/15.56 [0 0 0] [1] [0 0 0] 61.50/15.56 61.50/15.56 [1 0 0] [1 0 0] 61.50/15.56 c(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.57 [0 0 0] [0 0 0] 61.50/15.57 61.50/15.57 [1 1 1] [1 1 1] 61.50/15.57 c(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.57 [0 0 0] [0 0 0] 61.50/15.57 61.50/15.57 [1 1 0] [1 1 0] 61.50/15.57 c(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 >= [0 0 0]x1 = c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.57 [0 0 0] [0 0 0] 61.50/15.57 61.50/15.57 [1 0 0] [0] [1 0 0] 61.50/15.57 b(c)(c(a)(a(a)(a(c)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.57 [0 0 0] [1] [0 0 0] 61.50/15.57 61.50/15.57 [1 1 1] [0] [1 1 1] 61.50/15.57 b(c)(c(a)(a(a)(a(a)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.57 [0 0 0] [1] [0 0 0] 61.50/15.57 61.50/15.57 [1 1 0] [0] [1 1 0] 61.50/15.57 b(c)(c(a)(a(a)(a(b)(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 = b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.57 [0 0 0] [1] [0 0 0] 61.50/15.57 problem: 61.50/15.57 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.50/15.57 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.50/15.57 b(b)(b(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 61.50/15.57 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.50/15.57 c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.57 c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.57 c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.57 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.57 b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.57 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.57 Matrix Interpretation Processor: dim=1 61.50/15.57 61.50/15.57 interpretation: 61.50/15.57 [b(b)](x0) = 2x0 + 4, 61.50/15.57 61.50/15.57 [a(b)](x0) = 2x0, 61.50/15.57 61.50/15.57 [b(a)](x0) = x0 + 2, 61.50/15.57 61.50/15.57 [b(c)](x0) = x0, 61.50/15.57 61.50/15.57 [c(b)](x0) = 2x0 + 2, 61.50/15.57 61.50/15.57 [c(c)](x0) = 2x0 + 2, 61.50/15.57 61.50/15.57 [a(c)](x0) = 2x0, 61.50/15.57 61.50/15.57 [a(a)](x0) = 2x0 + 2, 61.50/15.57 61.50/15.57 [c(a)](x0) = 2x0 + 2 61.50/15.57 orientation: 61.50/15.57 c(a)(a(a)(a(a)(x1))) = 8x1 + 14 >= 4x1 + 14 = c(c)(c(b)(b(a)(x1))) 61.50/15.57 61.50/15.57 c(a)(a(b)(b(a)(x1))) = 4x1 + 10 >= 4x1 + 10 = c(b)(b(a)(a(a)(x1))) 61.50/15.57 61.50/15.57 b(b)(b(a)(a(a)(x1))) = 4x1 + 12 >= 4x1 + 8 = b(b)(b(c)(c(a)(x1))) 61.50/15.57 61.50/15.57 b(b)(b(a)(a(b)(x1))) = 4x1 + 8 >= 4x1 + 8 = b(b)(b(c)(c(b)(x1))) 61.50/15.57 61.50/15.57 c(c)(c(a)(a(a)(a(c)(x1)))) = 16x1 + 14 >= 8x1 + 10 = c(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.57 61.50/15.57 c(c)(c(a)(a(a)(a(a)(x1)))) = 16x1 + 30 >= 8x1 + 18 = c(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.57 61.50/15.57 c(c)(c(a)(a(a)(a(b)(x1)))) = 16x1 + 14 >= 8x1 + 10 = c(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.57 61.50/15.57 b(c)(c(a)(a(a)(a(c)(x1)))) = 8x1 + 6 >= 4x1 + 6 = b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.57 61.50/15.57 b(c)(c(a)(a(a)(a(a)(x1)))) = 8x1 + 14 >= 4x1 + 10 = b(a)(a(b)(b(a)(a(a)(x1)))) 61.50/15.57 61.50/15.57 b(c)(c(a)(a(a)(a(b)(x1)))) = 8x1 + 6 >= 4x1 + 6 = b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.57 problem: 61.50/15.57 c(a)(a(a)(a(a)(x1))) -> c(c)(c(b)(b(a)(x1))) 61.50/15.57 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.50/15.57 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.50/15.57 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.58 b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.58 Matrix Interpretation Processor: dim=3 61.50/15.58 61.50/15.58 interpretation: 61.50/15.58 [1 0 0] 61.50/15.58 [b(b)](x0) = [0 0 0]x0 61.50/15.58 [0 0 1] , 61.50/15.58 61.50/15.58 [1 0 0] [0] 61.50/15.58 [a(b)](x0) = [0 0 0]x0 + [1] 61.50/15.58 [0 1 0] [0], 61.50/15.58 61.50/15.58 [1 0 0] 61.50/15.58 [b(a)](x0) = [0 0 1]x0 61.50/15.58 [0 1 1] , 61.50/15.58 61.50/15.58 [1 0 0] 61.50/15.58 [b(c)](x0) = [0 1 0]x0 61.50/15.58 [0 1 0] , 61.50/15.58 61.50/15.58 [1 0 0] [0] 61.50/15.58 [c(b)](x0) = [0 0 0]x0 + [1] 61.50/15.58 [1 0 0] [0], 61.50/15.58 61.50/15.58 [1 0 0] 61.50/15.58 [c(c)](x0) = [0 0 0]x0 61.50/15.58 [0 0 1] , 61.50/15.58 61.50/15.58 [1 0 0] 61.50/15.58 [a(c)](x0) = [0 0 0]x0 61.50/15.58 [1 1 0] , 61.50/15.58 61.50/15.58 [1 0 0] [0] 61.50/15.58 [a(a)](x0) = [0 0 1]x0 + [1] 61.50/15.58 [0 1 0] [0], 61.50/15.58 61.50/15.58 [1 0 1] 61.50/15.58 [c(a)](x0) = [0 1 0]x0 61.50/15.58 [1 0 0] 61.50/15.58 orientation: 61.50/15.58 [1 0 1] [1] [1 0 0] 61.50/15.58 c(a)(a(a)(a(a)(x1))) = [0 1 0]x1 + [1] >= [0 0 0]x1 = c(c)(c(b)(b(a)(x1))) 61.50/15.58 [1 0 0] [0] [1 0 0] 61.50/15.58 61.50/15.58 [1 0 1] [0] [1 0 0] [0] 61.50/15.58 c(a)(a(b)(b(a)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(a)(a(a)(x1))) 61.50/15.58 [1 0 0] [0] [1 0 0] [0] 61.50/15.58 61.50/15.58 [1 0 0] [0] [1 0 0] [0] 61.50/15.58 b(b)(b(a)(a(b)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(b)(b(c)(c(b)(x1))) 61.50/15.58 [0 1 0] [1] [0 0 0] [1] 61.50/15.58 61.50/15.58 [1 0 0] [0] [1 0 0] [0] 61.50/15.58 b(c)(c(a)(a(a)(a(c)(x1)))) = [1 1 0]x1 + [1] >= [1 1 0]x1 + [0] = b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.58 [1 1 0] [1] [1 1 0] [1] 61.50/15.58 61.50/15.58 [1 0 0] [1] [1 0 0] [0] 61.50/15.58 b(c)(c(a)(a(a)(a(b)(x1)))) = [0 1 0]x1 + [1] >= [0 1 0]x1 + [0] = b(a)(a(b)(b(a)(a(b)(x1)))) 61.50/15.58 [0 1 0] [1] [0 1 0] [1] 61.50/15.58 problem: 61.50/15.58 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(a)(x1))) 61.50/15.58 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.50/15.58 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.58 Matrix Interpretation Processor: dim=3 61.50/15.58 61.50/15.58 interpretation: 61.50/15.58 [1 0 1] 61.50/15.58 [b(b)](x0) = [1 0 0]x0 61.50/15.58 [0 0 0] , 61.50/15.58 61.50/15.58 [1 0 0] [1] 61.50/15.58 [a(b)](x0) = [0 0 1]x0 + [0] 61.50/15.58 [0 0 0] [0], 61.50/15.58 61.50/15.58 [1 0 0] 61.50/15.58 [b(a)](x0) = [1 0 0]x0 61.50/15.58 [0 1 0] , 61.50/15.58 61.50/15.58 [1 0 1] 61.50/15.58 [b(c)](x0) = [1 0 1]x0 61.50/15.58 [0 1 0] , 61.50/15.58 61.50/15.58 [1 0 0] [0] 61.50/15.58 [c(b)](x0) = [0 0 0]x0 + [1] 61.50/15.58 [0 0 0] [0], 61.50/15.58 61.50/15.58 [1 0 1] 61.50/15.58 [a(c)](x0) = [0 0 0]x0 61.50/15.58 [0 1 0] , 61.50/15.58 61.50/15.58 [1 0 0] 61.50/15.58 [a(a)](x0) = [0 0 1]x0 61.50/15.58 [0 0 0] , 61.50/15.58 61.50/15.58 [1 1 0] [0] 61.50/15.58 [c(a)](x0) = [0 0 0]x0 + [1] 61.50/15.58 [0 0 0] [1] 61.50/15.58 orientation: 61.50/15.58 [1 1 0] [1] [1 0 0] [0] 61.50/15.58 c(a)(a(b)(b(a)(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = c(b)(b(a)(a(a)(x1))) 61.50/15.58 [0 0 0] [1] [0 0 0] [0] 61.50/15.58 61.50/15.58 [1 0 1] [1] [1 0 0] [1] 61.50/15.58 b(b)(b(a)(a(b)(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 + [0] = b(b)(b(c)(c(b)(x1))) 61.50/15.58 [0 0 0] [0] [0 0 0] [0] 61.50/15.58 61.50/15.58 [1 1 1] [1] [1 0 1] [1] 61.50/15.58 b(c)(c(a)(a(a)(a(c)(x1)))) = [1 1 1]x1 + [1] >= [1 0 1]x1 + [1] = b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.58 [0 0 0] [1] [0 0 0] [0] 61.50/15.58 problem: 61.50/15.58 b(b)(b(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 61.50/15.58 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.58 Matrix Interpretation Processor: dim=3 61.50/15.58 61.50/15.58 interpretation: 61.50/15.58 [1 0 0] 61.50/15.58 [b(b)](x0) = [0 0 0]x0 61.50/15.58 [1 0 0] , 61.50/15.58 61.50/15.58 [1 0 0] [1] 61.50/15.58 [a(b)](x0) = [0 1 0]x0 + [0] 61.50/15.58 [1 0 0] [1], 61.50/15.58 61.50/15.58 [1 0 0] [0] 61.50/15.58 [b(a)](x0) = [0 1 0]x0 + [0] 61.50/15.58 [0 0 0] [1], 61.50/15.58 61.50/15.58 [1 0 1] [0] 61.50/15.58 [b(c)](x0) = [1 0 0]x0 + [0] 61.50/15.58 [0 1 0] [1], 61.50/15.58 61.50/15.58 [1 0 0] 61.50/15.58 [c(b)](x0) = [0 1 1]x0 61.50/15.58 [0 0 0] , 61.50/15.58 61.50/15.58 [1 0 0] [0] 61.50/15.58 [a(c)](x0) = [0 0 0]x0 + [0] 61.50/15.58 [0 0 0] [1], 61.50/15.58 61.50/15.58 [1 0 0] 61.50/15.58 [a(a)](x0) = [0 0 0]x0 61.50/15.58 [0 0 1] , 61.50/15.58 61.50/15.58 [1 0 0] [0] 61.50/15.58 [c(a)](x0) = [0 0 0]x0 + [0] 61.50/15.58 [0 0 0] [1] 61.50/15.58 orientation: 61.50/15.58 [1 0 0] [1] [1 0 0] 61.50/15.58 b(b)(b(a)(a(b)(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = b(b)(b(c)(c(b)(x1))) 61.50/15.58 [1 0 0] [1] [1 0 0] 61.50/15.58 61.50/15.58 [1 0 0] [1] [1 0 0] [1] 61.50/15.58 b(c)(c(a)(a(a)(a(c)(x1)))) = [1 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.58 [0 0 0] [1] [0 0 0] [1] 61.50/15.58 problem: 61.50/15.58 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.58 DP Processor: 61.50/15.58 DPs: 61.50/15.58 61.50/15.58 TRS: 61.50/15.58 b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(b)(b(a)(a(c)(x1)))) 61.50/15.58 Qed 61.55/15.59 EOF