42.97/11.22 YES 42.97/11.23 42.97/11.23 Problem: 42.97/11.23 a(a(b(b(x1)))) -> b(b(b(b(x1)))) 42.97/11.23 b(b(b(a(x1)))) -> b(a(a(a(x1)))) 42.97/11.23 b(a(b(a(x1)))) -> a(a(b(b(x1)))) 42.97/11.23 42.97/11.23 Proof: 42.97/11.23 DP Processor: 42.97/11.23 DPs: 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(x1)) 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(a(x1))) 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) 42.97/11.23 b#(a(b(a(x1)))) -> a#(b(b(x1))) 42.97/11.23 b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) 42.97/11.23 TRS: 42.97/11.23 a(a(b(b(x1)))) -> b(b(b(b(x1)))) 42.97/11.23 b(b(b(a(x1)))) -> b(a(a(a(x1)))) 42.97/11.23 b(a(b(a(x1)))) -> a(a(b(b(x1)))) 42.97/11.23 TDG Processor: 42.97/11.23 DPs: 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(x1)) 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(a(x1))) 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) 42.97/11.23 b#(a(b(a(x1)))) -> a#(b(b(x1))) 42.97/11.23 b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) 42.97/11.23 TRS: 42.97/11.23 a(a(b(b(x1)))) -> b(b(b(b(x1)))) 42.97/11.23 b(b(b(a(x1)))) -> b(a(a(a(x1)))) 42.97/11.23 b(a(b(a(x1)))) -> a(a(b(b(x1)))) 42.97/11.23 graph: 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(a(b(a(x1)))) -> a#(b(b(x1))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(a(b(a(x1)))) -> b#(b(x1)) 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(a(b(a(x1)))) -> b#(x1) 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> a#(a(a(x1))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> a#(a(x1)) 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> a#(b(b(x1))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(b(x1)) 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(x1) 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(a(a(x1))) 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(a(x1)) 42.97/11.23 b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) -> 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) 42.97/11.23 b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) -> 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) 42.97/11.23 b#(a(b(a(x1)))) -> a#(b(b(x1))) -> 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) 42.97/11.23 b#(a(b(a(x1)))) -> a#(b(b(x1))) -> 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) -> 42.97/11.23 b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) -> 42.97/11.23 b#(a(b(a(x1)))) -> a#(b(b(x1))) 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) -> 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) -> 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) -> 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) -> 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(a(x1))) 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) -> 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(x1)) 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(a(x1))) -> 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(a(x1))) -> a#(a(b(b(x1)))) -> b#(b(b(x1))) 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(x1)) -> 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) -> 42.97/11.23 b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) -> 42.97/11.23 b#(a(b(a(x1)))) -> a#(b(b(x1))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) -> 42.97/11.23 b#(a(b(a(x1)))) -> b#(b(x1)) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) -> 42.97/11.23 b#(a(b(a(x1)))) -> b#(x1) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) -> 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) -> 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(a(x1))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) -> 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(x1)) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) -> 42.97/11.23 b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) -> 42.97/11.23 b#(a(b(a(x1)))) -> a#(b(b(x1))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) -> b#(a(b(a(x1)))) -> b#(b(x1)) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) -> b#(a(b(a(x1)))) -> b#(x1) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) -> 42.97/11.23 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) -> 42.97/11.23 b#(b(b(a(x1)))) -> a#(a(a(x1))) 42.97/11.23 a#(a(b(b(x1)))) -> b#(b(b(x1))) -> b#(b(b(a(x1)))) -> a#(a(x1)) 43.01/11.27 Polynomial Interpretation Processor: 43.01/11.27 dimension: 1 43.01/11.27 usable rules: 43.01/11.27 a(a(b(b(x1)))) -> b(b(b(b(x1)))) 43.01/11.27 b(b(b(a(x1)))) -> b(a(a(a(x1)))) 43.01/11.27 b(a(b(a(x1)))) -> a(a(b(b(x1)))) 43.01/11.27 interpretation: 43.01/11.27 [b#](x0) = x0, 43.01/11.27 43.01/11.27 [a#](x0) = x0, 43.01/11.27 43.01/11.27 [a](x0) = x0 + 1, 43.01/11.27 43.01/11.27 [b](x0) = x0 + 1 43.01/11.27 orientation: 43.01/11.27 a#(a(b(b(x1)))) = x1 + 3 >= x1 + 2 = b#(b(b(x1))) 43.01/11.27 43.01/11.27 a#(a(b(b(x1)))) = x1 + 3 >= x1 + 3 = b#(b(b(b(x1)))) 43.01/11.27 43.01/11.27 b#(b(b(a(x1)))) = x1 + 3 >= x1 + 1 = a#(a(x1)) 43.01/11.27 43.01/11.27 b#(b(b(a(x1)))) = x1 + 3 >= x1 + 2 = a#(a(a(x1))) 43.01/11.27 43.01/11.27 b#(b(b(a(x1)))) = x1 + 3 >= x1 + 3 = b#(a(a(a(x1)))) 43.01/11.27 43.01/11.27 b#(a(b(a(x1)))) = x1 + 3 >= x1 = b#(x1) 43.01/11.27 43.01/11.27 b#(a(b(a(x1)))) = x1 + 3 >= x1 + 1 = b#(b(x1)) 43.01/11.27 43.01/11.27 b#(a(b(a(x1)))) = x1 + 3 >= x1 + 2 = a#(b(b(x1))) 43.01/11.27 43.01/11.27 b#(a(b(a(x1)))) = x1 + 3 >= x1 + 3 = a#(a(b(b(x1)))) 43.01/11.27 43.01/11.27 a(a(b(b(x1)))) = x1 + 4 >= x1 + 4 = b(b(b(b(x1)))) 43.01/11.27 43.01/11.27 b(b(b(a(x1)))) = x1 + 4 >= x1 + 4 = b(a(a(a(x1)))) 43.01/11.27 43.01/11.27 b(a(b(a(x1)))) = x1 + 4 >= x1 + 4 = a(a(b(b(x1)))) 43.01/11.27 problem: 43.01/11.27 DPs: 43.01/11.27 a#(a(b(b(x1)))) -> b#(b(b(b(x1)))) 43.01/11.27 b#(b(b(a(x1)))) -> b#(a(a(a(x1)))) 43.01/11.27 b#(a(b(a(x1)))) -> a#(a(b(b(x1)))) 43.01/11.27 TRS: 43.01/11.27 a(a(b(b(x1)))) -> b(b(b(b(x1)))) 43.01/11.27 b(b(b(a(x1)))) -> b(a(a(a(x1)))) 43.01/11.27 b(a(b(a(x1)))) -> a(a(b(b(x1)))) 43.01/11.27 Root-Labeling Processor: 43.01/11.27 DPs: 43.01/11.27 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.27 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.27 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.27 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.01/11.27 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.01/11.27 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.01/11.27 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.27 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.27 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.27 TRS: 43.01/11.27 f4(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.27 f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.27 f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.27 a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.27 a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.27 a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.27 b(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> b(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.27 b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> b(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.27 b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> b(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.27 b(b)(b(b)(b(a)(a(f4)(x1)))) -> b(a)(a(a)(a(a)(a(f4)(x1)))) 43.01/11.27 b(b)(b(b)(b(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 43.01/11.27 b(b)(b(b)(b(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 43.01/11.27 f4(b)(b(a)(a(b)(b(a)(a(f4)(x1))))) -> f4(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.27 f4(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.27 f4(b)(b(a)(a(b)(b(a)(a(b)(x1))))) -> f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.27 a(b)(b(a)(a(b)(b(a)(a(f4)(x1))))) -> a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.27 a(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.27 a(b)(b(a)(a(b)(b(a)(a(b)(x1))))) -> a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.27 b(b)(b(a)(a(b)(b(a)(a(f4)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.27 b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.27 b(b)(b(a)(a(b)(b(a)(a(b)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.27 TDG Processor: 43.01/11.27 DPs: 43.01/11.27 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.27 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.27 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.27 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.01/11.28 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.28 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.28 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.28 TRS: 43.01/11.28 f4(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.28 f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.28 f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.28 a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.28 a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.28 a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.28 b(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> b(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.28 b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> b(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.28 b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> b(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.28 b(b)(b(b)(b(a)(a(f4)(x1)))) -> b(a)(a(a)(a(a)(a(f4)(x1)))) 43.01/11.28 b(b)(b(b)(b(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 43.01/11.28 b(b)(b(b)(b(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 43.01/11.28 f4(b)(b(a)(a(b)(b(a)(a(f4)(x1))))) -> f4(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.28 f4(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.28 f4(b)(b(a)(a(b)(b(a)(a(b)(x1))))) -> f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.28 a(b)(b(a)(a(b)(b(a)(a(f4)(x1))))) -> a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.28 a(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.28 a(b)(b(a)(a(b)(b(a)(a(b)(x1))))) -> a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.28 b(b)(b(a)(a(b)(b(a)(a(f4)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.28 b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.28 b(b)(b(a)(a(b)(b(a)(a(b)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.28 graph: 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) -> 43.01/11.28 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.01/11.29 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) -> 43.01/11.29 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) -> 43.39/11.67 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.39/11.67 Polynomial Interpretation Processor: 43.39/11.67 dimension: 1 43.39/11.67 interpretation: 43.39/11.67 [a(a)](x0) = x0, 43.39/11.67 43.39/11.67 [a(f4)](x0) = x0 + 1, 43.39/11.67 43.39/11.67 [b(a)](x0) = x0, 43.39/11.67 43.39/11.67 [f4(b)](x0) = x0 + 1, 43.39/11.67 43.39/11.67 [b{#,(f4)}](x0) = x0 + 1, 43.39/11.67 43.39/11.67 [b(f4)](x0) = x0, 43.39/11.67 43.39/11.67 [b(b)](x0) = x0, 43.39/11.67 43.39/11.67 [a(b)](x0) = x0, 43.39/11.67 43.39/11.67 [f4(a)](x0) = x0 + 1, 43.39/11.67 43.39/11.67 [a{#,(f4)}](x0) = x0 + 1 43.39/11.67 orientation: 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 43.39/11.67 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 43.39/11.67 43.39/11.67 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 43.39/11.67 43.39/11.67 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) = x1 + 3 >= x1 + 3 = b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.39/11.67 43.39/11.67 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.39/11.67 43.39/11.67 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.39/11.67 43.39/11.67 b{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) = x1 + 3 >= x1 + 2 = a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) 43.39/11.67 43.39/11.67 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) = x1 + 2 >= x1 + 2 = a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.39/11.67 43.39/11.67 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) = x1 + 2 >= x1 + 2 = a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.39/11.67 43.39/11.67 f4(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) = x1 + 1 >= x1 + 1 = f4(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.39/11.67 43.39/11.67 f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) = x1 + 1 >= x1 + 1 = f4(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.39/11.67 43.39/11.67 f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) = x1 + 1 >= x1 + 1 = f4(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.39/11.67 43.39/11.67 a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) = x1 >= x1 = a(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.39/11.67 43.39/11.67 a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) = x1 >= x1 = a(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.39/11.67 43.39/11.67 a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) = x1 >= x1 = a(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.69/11.97 43.69/11.97 b(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) = x1 >= x1 = b(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.69/11.97 43.69/11.97 b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) = x1 >= x1 = b(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.69/11.97 43.69/11.97 b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) = x1 >= x1 = b(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.69/11.97 43.69/11.97 b(b)(b(b)(b(a)(a(f4)(x1)))) = x1 + 1 >= x1 + 1 = b(a)(a(a)(a(a)(a(f4)(x1)))) 43.69/11.97 43.69/11.97 b(b)(b(b)(b(a)(a(a)(x1)))) = x1 >= x1 = b(a)(a(a)(a(a)(a(a)(x1)))) 43.69/11.97 43.69/11.97 b(b)(b(b)(b(a)(a(b)(x1)))) = x1 >= x1 = b(a)(a(a)(a(a)(a(b)(x1)))) 43.69/11.97 43.69/11.97 f4(b)(b(a)(a(b)(b(a)(a(f4)(x1))))) = x1 + 2 >= x1 + 1 = f4(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) 43.69/11.97 43.69/11.97 f4(b)(b(a)(a(b)(b(a)(a(a)(x1))))) = x1 + 1 >= x1 + 1 = f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.69/11.97 43.69/11.97 f4(b)(b(a)(a(b)(b(a)(a(b)(x1))))) = x1 + 1 >= x1 + 1 = f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.69/11.97 43.69/11.97 a(b)(b(a)(a(b)(b(a)(a(f4)(x1))))) = x1 + 1 >= x1 = a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) 43.69/11.97 43.69/11.97 a(b)(b(a)(a(b)(b(a)(a(a)(x1))))) = x1 >= x1 = a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.69/11.97 43.69/11.97 a(b)(b(a)(a(b)(b(a)(a(b)(x1))))) = x1 >= x1 = a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.69/11.97 43.69/11.97 b(b)(b(a)(a(b)(b(a)(a(f4)(x1))))) = x1 + 1 >= x1 = b(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) 43.69/11.97 43.69/11.97 b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) = x1 >= x1 = b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.69/11.97 43.69/11.97 b(b)(b(a)(a(b)(b(a)(a(b)(x1))))) = x1 >= x1 = b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.69/11.97 problem: 43.69/11.97 DPs: 43.69/11.97 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 43.69/11.97 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 43.69/11.97 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 43.69/11.97 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 43.69/11.97 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 43.69/11.97 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 43.69/11.97 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 43.69/11.97 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 43.69/11.97 TRS: 43.69/11.97 f4(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.69/11.97 f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.69/11.97 f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.69/11.97 a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.69/11.97 a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.69/11.97 a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.69/11.97 b(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> b(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 43.69/11.97 b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> b(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 43.69/11.97 b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> b(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 43.69/11.97 b(b)(b(b)(b(a)(a(f4)(x1)))) -> b(a)(a(a)(a(a)(a(f4)(x1)))) 43.69/11.97 b(b)(b(b)(b(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 43.69/11.97 b(b)(b(b)(b(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 43.69/11.97 f4(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.69/11.97 f4(b)(b(a)(a(b)(b(a)(a(b)(x1))))) -> f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.69/11.97 a(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.69/11.97 a(b)(b(a)(a(b)(b(a)(a(b)(x1))))) -> a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.69/11.97 b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 43.69/11.97 b(b)(b(a)(a(b)(b(a)(a(b)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 43.69/11.97 Polynomial Interpretation Processor: 43.69/11.97 dimension: 1 43.69/11.97 interpretation: 43.69/11.97 [a(a)](x0) = x0, 43.69/11.97 43.69/11.97 [a(f4)](x0) = x0, 43.69/11.97 43.69/11.97 [b(a)](x0) = x0, 43.69/11.97 43.69/11.97 [f4(b)](x0) = x0 + 1, 43.69/11.97 43.69/11.97 [b{#,(f4)}](x0) = x0, 43.69/11.97 43.69/11.97 [b(f4)](x0) = x0 + 1, 43.69/11.97 43.69/11.97 [b(b)](x0) = x0, 43.69/11.97 43.69/11.97 [a(b)](x0) = x0 + 1, 43.69/11.97 43.69/11.97 [f4(a)](x0) = x0, 44.31/12.57 44.31/12.57 [a{#,(f4)}](x0) = x0 44.31/12.57 orientation: 44.31/12.57 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 44.31/12.57 44.31/12.57 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) = x1 + 1 >= x1 + 1 = b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 44.31/12.57 44.31/12.57 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) = x1 + 1 >= x1 + 1 = b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 44.31/12.57 44.31/12.57 b{#,(f4)}(f4(b)(b(b)(b(a)(a(f4)(x1))))) = x1 + 1 >= x1 = b{#,(f4)}(f4(a)(a(a)(a(a)(a(f4)(x1))))) 44.31/12.57 44.31/12.57 b{#,(f4)}(f4(b)(b(b)(b(a)(a(a)(x1))))) = x1 + 1 >= x1 = b{#,(f4)}(f4(a)(a(a)(a(a)(a(a)(x1))))) 44.31/12.57 44.31/12.57 b{#,(f4)}(f4(b)(b(b)(b(a)(a(b)(x1))))) = x1 + 2 >= x1 + 1 = b{#,(f4)}(f4(a)(a(a)(a(a)(a(b)(x1))))) 44.31/12.57 44.31/12.57 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) = x1 + 1 >= x1 + 1 = a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 44.31/12.57 44.31/12.57 b{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) = x1 + 2 >= x1 + 1 = a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) 44.31/12.57 44.31/12.57 f4(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) = x1 + 2 >= x1 + 2 = f4(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 44.31/12.57 44.31/12.57 f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) = x1 + 1 >= x1 + 1 = f4(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 44.31/12.57 44.31/12.57 f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) = x1 + 1 >= x1 + 1 = f4(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 44.31/12.57 44.31/12.57 a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 44.31/12.57 44.31/12.57 a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 44.31/12.57 44.31/12.57 a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 44.31/12.57 44.31/12.57 b(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) = x1 + 2 >= x1 + 1 = b(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 44.31/12.57 44.31/12.57 b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) = x1 + 1 >= x1 = b(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 44.31/12.57 44.31/12.57 b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) = x1 + 1 >= x1 = b(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 44.31/12.57 44.31/12.57 b(b)(b(b)(b(a)(a(f4)(x1)))) = x1 >= x1 = b(a)(a(a)(a(a)(a(f4)(x1)))) 44.31/12.57 44.31/12.57 b(b)(b(b)(b(a)(a(a)(x1)))) = x1 >= x1 = b(a)(a(a)(a(a)(a(a)(x1)))) 44.31/12.57 44.31/12.57 b(b)(b(b)(b(a)(a(b)(x1)))) = x1 + 1 >= x1 + 1 = b(a)(a(a)(a(a)(a(b)(x1)))) 44.31/12.57 44.31/12.57 f4(b)(b(a)(a(b)(b(a)(a(a)(x1))))) = x1 + 2 >= x1 + 1 = f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 44.31/12.57 44.31/12.57 f4(b)(b(a)(a(b)(b(a)(a(b)(x1))))) = x1 + 3 >= x1 + 1 = f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 44.31/12.57 44.31/12.57 a(b)(b(a)(a(b)(b(a)(a(a)(x1))))) = x1 + 2 >= x1 + 1 = a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 44.31/12.57 44.31/12.57 a(b)(b(a)(a(b)(b(a)(a(b)(x1))))) = x1 + 3 >= x1 + 1 = a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 44.31/12.57 44.31/12.57 b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) = x1 + 1 >= x1 + 1 = b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 44.31/12.57 44.31/12.57 b(b)(b(a)(a(b)(b(a)(a(b)(x1))))) = x1 + 2 >= x1 + 1 = b(a)(a(a)(a(b)(b(b)(b(b)(x1))))) 44.31/12.57 problem: 44.31/12.57 DPs: 44.31/12.57 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 44.31/12.57 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 44.31/12.57 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 44.31/12.57 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 44.31/12.57 TRS: 44.31/12.57 f4(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 44.31/12.57 f4(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 44.31/12.57 f4(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> f4(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 44.31/12.57 a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 44.31/12.57 a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 44.31/12.57 a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 44.31/12.57 b(b)(b(b)(b(a)(a(f4)(x1)))) -> b(a)(a(a)(a(a)(a(f4)(x1)))) 44.31/12.57 b(b)(b(b)(b(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 44.31/12.57 b(b)(b(b)(b(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 44.31/12.57 b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 44.31/12.57 Usable Rule Processor: 44.31/12.57 DPs: 44.31/12.57 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 44.53/12.77 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 44.53/12.77 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 44.53/12.77 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 44.53/12.77 TRS: 44.53/12.77 b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 44.53/12.77 b(b)(b(b)(b(a)(a(f4)(x1)))) -> b(a)(a(a)(a(a)(a(f4)(x1)))) 44.53/12.77 b(b)(b(b)(b(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 44.53/12.77 b(b)(b(b)(b(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 44.53/12.77 a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 44.53/12.77 a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 44.53/12.77 a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 44.53/12.77 Polynomial Interpretation Processor: 44.53/12.77 dimension: 1 44.53/12.77 interpretation: 44.53/12.77 [a(a)](x0) = x0, 44.53/12.77 44.53/12.77 [a(f4)](x0) = x0, 44.53/12.77 44.53/12.77 [b(a)](x0) = x0, 44.53/12.77 44.53/12.77 [f4(b)](x0) = x0, 44.53/12.77 44.53/12.77 [b{#,(f4)}](x0) = x0, 44.53/12.77 44.53/12.77 [b(f4)](x0) = x0, 44.53/12.77 44.53/12.77 [b(b)](x0) = x0, 44.53/12.77 44.53/12.77 [a(b)](x0) = x0, 44.53/12.77 44.53/12.77 [f4(a)](x0) = x0 + 1, 44.53/12.77 44.53/12.77 [a{#,(f4)}](x0) = x0 44.53/12.77 orientation: 44.53/12.77 a{#,(f4)}(f4(a)(a(b)(b(b)(b(f4)(x1))))) = x1 + 1 >= x1 = b{#,(f4)}(f4(b)(b(b)(b(b)(b(f4)(x1))))) 44.53/12.77 44.53/12.77 a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) = x1 + 1 >= x1 = b{#,(f4)}(f4(b)(b(b)(b(b)(b(a)(x1))))) 44.53/12.77 44.53/12.77 a{#,(f4)}(f4(a)(a(b)(b(b)(b(b)(x1))))) = x1 + 1 >= x1 = b{#,(f4)}(f4(b)(b(b)(b(b)(b(b)(x1))))) 44.53/12.77 44.53/12.77 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) = x1 + 1 >= x1 + 1 = a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 44.53/12.77 44.53/12.77 b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) = x1 >= x1 = b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 44.53/12.77 44.53/12.77 b(b)(b(b)(b(a)(a(f4)(x1)))) = x1 >= x1 = b(a)(a(a)(a(a)(a(f4)(x1)))) 44.53/12.77 44.53/12.77 b(b)(b(b)(b(a)(a(a)(x1)))) = x1 >= x1 = b(a)(a(a)(a(a)(a(a)(x1)))) 44.53/12.77 44.53/12.77 b(b)(b(b)(b(a)(a(b)(x1)))) = x1 >= x1 = b(a)(a(a)(a(a)(a(b)(x1)))) 44.53/12.77 44.53/12.77 a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) = x1 >= x1 = a(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 44.53/12.77 44.53/12.77 a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) = x1 >= x1 = a(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 44.53/12.77 44.53/12.77 a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) = x1 >= x1 = a(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 44.53/12.77 problem: 44.53/12.77 DPs: 44.53/12.77 b{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(a)(a(b)(b(b)(b(a)(x1))))) 44.53/12.77 TRS: 44.53/12.77 b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) -> b(a)(a(a)(a(b)(b(b)(b(a)(x1))))) 44.53/12.77 b(b)(b(b)(b(a)(a(f4)(x1)))) -> b(a)(a(a)(a(a)(a(f4)(x1)))) 44.53/12.77 b(b)(b(b)(b(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) 44.53/12.77 b(b)(b(b)(b(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) 44.53/12.77 a(a)(a(a)(a(b)(b(b)(b(f4)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(f4)(x1))))) 44.53/12.77 a(a)(a(a)(a(b)(b(b)(b(a)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(a)(x1))))) 44.53/12.77 a(a)(a(a)(a(b)(b(b)(b(b)(x1))))) -> a(b)(b(b)(b(b)(b(b)(b(b)(x1))))) 44.53/12.77 SCC Processor: 44.53/12.77 #sccs: 0 44.53/12.77 #rules: 0 44.53/12.77 #arcs: 45/1 44.53/12.77 44.53/12.78 EOF