11.46/3.25 YES 11.46/3.25 11.46/3.25 Problem: 11.46/3.25 strict: 11.46/3.25 b(b(c(x1))) -> c(a(c(x1))) 11.46/3.25 a(c(b(x1))) -> b(c(c(x1))) 11.46/3.25 b(b(b(x1))) -> b(c(a(x1))) 11.46/3.25 weak: 11.46/3.25 b(a(a(x1))) -> c(c(c(x1))) 11.46/3.25 a(a(b(x1))) -> b(a(a(x1))) 11.46/3.25 c(a(b(x1))) -> b(b(a(x1))) 11.46/3.25 b(a(a(x1))) -> c(c(b(x1))) 11.46/3.25 11.46/3.25 Proof: 11.46/3.25 Matrix Interpretation Processor: dim=1 11.46/3.25 11.46/3.25 interpretation: 11.46/3.25 [a](x0) = 2x0 + 4, 11.46/3.25 11.46/3.25 [b](x0) = 2x0 + 8, 11.46/3.25 11.46/3.25 [c](x0) = 2x0 11.46/3.25 orientation: 11.46/3.25 b(b(c(x1))) = 8x1 + 24 >= 8x1 + 8 = c(a(c(x1))) 11.46/3.25 11.46/3.25 a(c(b(x1))) = 8x1 + 36 >= 8x1 + 8 = b(c(c(x1))) 11.46/3.25 11.46/3.25 b(b(b(x1))) = 8x1 + 56 >= 8x1 + 24 = b(c(a(x1))) 11.46/3.25 11.46/3.25 b(a(a(x1))) = 8x1 + 32 >= 8x1 = c(c(c(x1))) 11.46/3.25 11.46/3.25 a(a(b(x1))) = 8x1 + 44 >= 8x1 + 32 = b(a(a(x1))) 11.46/3.25 11.46/3.25 c(a(b(x1))) = 8x1 + 40 >= 8x1 + 40 = b(b(a(x1))) 11.46/3.25 11.46/3.25 b(a(a(x1))) = 8x1 + 32 >= 8x1 + 32 = c(c(b(x1))) 11.46/3.25 problem: 11.46/3.25 strict: 11.46/3.25 11.46/3.25 weak: 11.46/3.25 c(a(b(x1))) -> b(b(a(x1))) 11.46/3.25 b(a(a(x1))) -> c(c(b(x1))) 11.46/3.25 Qed 11.46/3.26 EOF