9.17/2.67 YES 9.17/2.68 9.17/2.68 Problem: 9.17/2.68 strict: 9.17/2.68 a(c(b(x1))) -> c(c(c(x1))) 9.17/2.68 b(c(c(x1))) -> a(a(b(x1))) 9.17/2.68 weak: 9.17/2.68 c(a(c(x1))) -> b(a(b(x1))) 9.17/2.68 b(c(a(x1))) -> a(b(c(x1))) 9.17/2.68 c(c(c(x1))) -> c(c(b(x1))) 9.17/2.68 9.17/2.68 Proof: 9.17/2.68 Bounds Processor: 9.17/2.68 bound: 2 9.17/2.68 enrichment: match-rt 9.17/2.68 automaton: 9.17/2.68 final states: {4} 9.17/2.68 transitions: 9.17/2.68 c1(35) -> 36* 9.17/2.68 c1(54) -> 55* 9.17/2.68 c1(56) -> 57* 9.17/2.68 c1(38) -> 39* 9.17/2.68 a1(19) -> 20* 9.17/2.68 a1(18) -> 19* 9.17/2.68 b1(50) -> 51* 9.17/2.68 b1(17) -> 18* 9.17/2.68 b1(36) -> 37* 9.17/2.68 a2(65) -> 66* 9.17/2.68 a2(86) -> 87* 9.17/2.68 a2(66) -> 67* 9.17/2.68 a0(4) -> 4* 9.17/2.68 b2(69) -> 70* 9.17/2.68 b2(64) -> 65* 9.17/2.68 b2(85) -> 86* 9.17/2.68 c0(4) -> 4* 9.17/2.68 c2(84) -> 85* 9.17/2.68 c2(88) -> 89* 9.17/2.68 c2(68) -> 69* 9.17/2.68 b0(4) -> 4* 9.17/2.68 4 -> 38,17 9.17/2.68 18 -> 54* 9.17/2.68 19 -> 50,35 9.17/2.68 20 -> 37,18,4 9.17/2.68 37 -> 19* 9.17/2.68 39 -> 36* 9.17/2.68 51 -> 39* 9.17/2.68 54 -> 64* 9.17/2.68 55 -> 56,36 9.17/2.68 57 -> 39* 9.17/2.68 65 -> 84* 9.17/2.68 66 -> 68* 9.17/2.68 67 -> 37* 9.17/2.68 70 -> 66* 9.17/2.68 86 -> 88* 9.17/2.68 87 -> 70* 9.17/2.68 89 -> 85* 9.17/2.68 problem: 9.17/2.68 strict: 9.17/2.68 a(c(b(x1))) -> c(c(c(x1))) 9.17/2.68 weak: 9.17/2.68 c(a(c(x1))) -> b(a(b(x1))) 9.17/2.68 b(c(a(x1))) -> a(b(c(x1))) 9.17/2.68 c(c(c(x1))) -> c(c(b(x1))) 9.17/2.68 Arctic Interpretation Processor: 9.17/2.68 dimension: 1 9.17/2.68 interpretation: 9.17/2.68 [a](x0) = 2x0, 9.17/2.68 9.17/2.68 [c](x0) = x0, 9.17/2.68 9.17/2.68 [b](x0) = x0 9.17/2.68 orientation: 9.17/2.68 a(c(b(x1))) = 2x1 >= x1 = c(c(c(x1))) 9.17/2.68 9.17/2.68 c(a(c(x1))) = 2x1 >= 2x1 = b(a(b(x1))) 9.17/2.68 9.17/2.68 b(c(a(x1))) = 2x1 >= 2x1 = a(b(c(x1))) 9.17/2.68 9.17/2.68 c(c(c(x1))) = x1 >= x1 = c(c(b(x1))) 9.17/2.68 problem: 9.17/2.68 strict: 9.17/2.68 9.17/2.68 weak: 9.17/2.68 c(a(c(x1))) -> b(a(b(x1))) 9.17/2.68 b(c(a(x1))) -> a(b(c(x1))) 9.17/2.68 c(c(c(x1))) -> c(c(b(x1))) 9.17/2.68 Qed 9.17/2.68 EOF