14.27/3.94 YES 14.27/3.94 14.27/3.94 Problem: 14.27/3.94 strict: 14.27/3.94 c(c(a(x1))) -> c(a(b(x1))) 14.27/3.94 b(b(b(x1))) -> a(a(a(x1))) 14.27/3.94 b(b(a(x1))) -> c(c(a(x1))) 14.27/3.94 weak: 14.27/3.94 c(a(a(x1))) -> a(a(a(x1))) 14.27/3.94 b(a(a(x1))) -> c(c(c(x1))) 14.27/3.94 b(c(b(x1))) -> c(b(a(x1))) 14.27/3.94 14.27/3.94 Proof: 14.27/3.94 String Reversal Processor: 14.27/3.94 strict: 14.27/3.94 a(c(c(x1))) -> b(a(c(x1))) 14.27/3.94 b(b(b(x1))) -> a(a(a(x1))) 14.27/3.94 a(b(b(x1))) -> a(c(c(x1))) 14.27/3.94 weak: 14.27/3.94 a(a(c(x1))) -> a(a(a(x1))) 14.27/3.94 a(a(b(x1))) -> c(c(c(x1))) 14.27/3.94 b(c(b(x1))) -> a(b(c(x1))) 14.27/3.94 Matrix Interpretation Processor: dim=1 14.27/3.94 14.27/3.94 interpretation: 14.27/3.94 [b](x0) = 2x0 + 4, 14.27/3.94 14.27/3.94 [c](x0) = 2x0 + 2, 14.27/3.94 14.27/3.94 [a](x0) = 2x0 14.27/3.94 orientation: 14.27/3.94 a(c(c(x1))) = 8x1 + 12 >= 8x1 + 12 = b(a(c(x1))) 14.27/3.94 14.27/3.94 b(b(b(x1))) = 8x1 + 28 >= 8x1 = a(a(a(x1))) 14.27/3.94 14.27/3.94 a(b(b(x1))) = 8x1 + 24 >= 8x1 + 12 = a(c(c(x1))) 14.27/3.94 14.27/3.94 a(a(c(x1))) = 8x1 + 8 >= 8x1 = a(a(a(x1))) 14.27/3.94 14.27/3.94 a(a(b(x1))) = 8x1 + 16 >= 8x1 + 14 = c(c(c(x1))) 14.27/3.94 14.27/3.94 b(c(b(x1))) = 8x1 + 24 >= 8x1 + 16 = a(b(c(x1))) 14.27/3.94 problem: 14.27/3.94 strict: 14.27/3.94 a(c(c(x1))) -> b(a(c(x1))) 14.27/3.94 weak: 14.27/3.94 14.27/3.94 String Reversal Processor: 14.27/3.94 strict: 14.27/3.94 c(c(a(x1))) -> c(a(b(x1))) 14.27/3.94 weak: 14.27/3.94 14.27/3.94 Arctic Interpretation Processor: 14.27/3.94 dimension: 1 14.27/3.94 interpretation: 14.27/3.94 [b](x0) = 1x0, 14.27/3.94 14.27/3.94 [c](x0) = 2x0, 14.27/3.94 14.27/3.94 [a](x0) = 11x0 14.27/3.94 orientation: 14.27/3.94 c(c(a(x1))) = 15x1 >= 14x1 = c(a(b(x1))) 14.27/3.94 problem: 14.27/3.94 strict: 14.27/3.94 14.27/3.94 weak: 14.27/3.94 14.27/3.94 Qed 14.27/3.95 EOF