42.35/11.01 YES 42.35/11.02 42.35/11.02 Problem: 42.35/11.02 b(b(b(x1))) -> a(x1) 42.35/11.02 a(a(a(x1))) -> b(b(x1)) 42.35/11.02 a(a(x1)) -> a(b(a(x1))) 42.35/11.02 42.35/11.02 Proof: 42.35/11.02 DP Processor: 42.35/11.02 DPs: 42.35/11.02 b#(b(b(x1))) -> a#(x1) 42.35/11.02 a#(a(a(x1))) -> b#(x1) 42.35/11.02 a#(a(a(x1))) -> b#(b(x1)) 42.35/11.02 a#(a(x1)) -> b#(a(x1)) 42.35/11.02 a#(a(x1)) -> a#(b(a(x1))) 42.35/11.02 TRS: 42.35/11.02 b(b(b(x1))) -> a(x1) 42.35/11.02 a(a(a(x1))) -> b(b(x1)) 42.35/11.02 a(a(x1)) -> a(b(a(x1))) 42.35/11.02 TDG Processor: 42.35/11.02 DPs: 42.35/11.02 b#(b(b(x1))) -> a#(x1) 42.35/11.02 a#(a(a(x1))) -> b#(x1) 42.35/11.02 a#(a(a(x1))) -> b#(b(x1)) 42.35/11.02 a#(a(x1)) -> b#(a(x1)) 42.35/11.02 a#(a(x1)) -> a#(b(a(x1))) 42.35/11.02 TRS: 42.35/11.02 b(b(b(x1))) -> a(x1) 42.35/11.02 a(a(a(x1))) -> b(b(x1)) 42.35/11.02 a(a(x1)) -> a(b(a(x1))) 42.35/11.02 graph: 42.35/11.02 a#(a(a(x1))) -> b#(b(x1)) -> b#(b(b(x1))) -> a#(x1) 42.35/11.02 a#(a(a(x1))) -> b#(x1) -> b#(b(b(x1))) -> a#(x1) 42.35/11.02 a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(b(a(x1))) 42.35/11.02 a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(x1)) 42.35/11.02 a#(a(x1)) -> a#(b(a(x1))) -> a#(a(a(x1))) -> b#(b(x1)) 42.35/11.02 a#(a(x1)) -> a#(b(a(x1))) -> a#(a(a(x1))) -> b#(x1) 42.35/11.02 a#(a(x1)) -> b#(a(x1)) -> b#(b(b(x1))) -> a#(x1) 42.35/11.02 b#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> a#(b(a(x1))) 42.35/11.02 b#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> b#(a(x1)) 42.35/11.02 b#(b(b(x1))) -> a#(x1) -> a#(a(a(x1))) -> b#(b(x1)) 42.35/11.02 b#(b(b(x1))) -> a#(x1) -> a#(a(a(x1))) -> b#(x1) 42.35/11.02 Root-Labeling Processor: 42.35/11.02 DPs: 42.35/11.02 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.35/11.02 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.35/11.02 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.35/11.02 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.35/11.02 TRS: 42.35/11.02 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.35/11.02 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.35/11.02 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.35/11.02 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.35/11.02 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.35/11.02 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.35/11.02 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.35/11.02 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.35/11.02 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.35/11.02 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.35/11.02 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.35/11.02 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.35/11.02 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.35/11.02 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.35/11.02 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.35/11.02 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.35/11.02 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.35/11.02 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.35/11.02 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.35/11.02 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.35/11.02 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.35/11.02 TDG Processor: 42.35/11.02 DPs: 42.35/11.02 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.35/11.02 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.35/11.02 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.35/11.02 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.36/11.03 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.36/11.03 TRS: 42.36/11.03 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.36/11.03 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.36/11.03 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.36/11.03 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.36/11.03 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.36/11.03 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.36/11.03 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.36/11.03 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.36/11.03 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.36/11.03 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.36/11.03 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.36/11.03 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.36/11.03 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.36/11.03 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.36/11.03 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.36/11.03 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.36/11.03 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.36/11.03 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.36/11.03 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.36/11.03 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.36/11.03 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.36/11.03 graph: 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) -> 42.36/11.03 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) -> 42.36/11.03 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) -> 42.36/11.03 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.36/11.03 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.36/11.03 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.36/11.03 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.36/11.03 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.03 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.36/11.03 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) -> 42.36/11.04 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.36/11.04 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.04 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) -> 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) -> 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) -> 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.05 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.36/11.05 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) -> 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) 42.36/11.07 Polynomial Interpretation Processor: 42.36/11.07 dimension: 1 42.36/11.07 interpretation: 42.36/11.07 [a(b)](x0) = x0, 42.36/11.07 42.36/11.07 [a(f4)](x0) = x0, 42.36/11.07 42.36/11.07 [a(a)](x0) = x0, 42.36/11.07 42.36/11.07 [f4(a)](x0) = x0 + 1, 42.36/11.07 42.36/11.07 [b(a)](x0) = x0, 42.36/11.07 42.36/11.07 [f4(f4)](x0) = x0, 42.36/11.07 42.36/11.07 [a{#,(f4)}](x0) = x0 + 1, 42.36/11.07 42.36/11.07 [b(f4)](x0) = x0, 42.36/11.07 42.36/11.07 [b(b)](x0) = x0, 42.36/11.07 42.36/11.07 [f4(b)](x0) = x0 + 1, 42.36/11.07 42.36/11.07 [b{#,(f4)}](x0) = x0 + 1 42.36/11.07 orientation: 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) = x1 + 2 >= x1 + 1 = a{#,(f4)}(f4(f4)(x1)) 42.36/11.07 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) = x1 + 2 >= x1 + 2 = a{#,(f4)}(f4(b)(x1)) 42.36/11.07 42.36/11.07 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) = x1 + 2 >= x1 + 2 = a{#,(f4)}(f4(a)(x1)) 42.36/11.07 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) = x1 + 2 >= x1 + 1 = b{#,(f4)}(f4(f4)(x1)) 42.36/11.07 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(x1)) 42.36/11.07 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(a)(x1)) 42.36/11.07 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(b(f4)(x1))) 42.36/11.07 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(b(b)(x1))) 42.36/11.07 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(b(a)(x1))) 42.36/11.07 42.36/11.07 a{#,(f4)}(f4(a)(a(f4)(x1))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(a)(a(f4)(x1))) 42.36/11.07 42.36/11.07 a{#,(f4)}(f4(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(a)(a(b)(x1))) 42.36/11.07 42.36/11.07 a{#,(f4)}(f4(a)(a(a)(x1))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(a)(a(a)(x1))) 42.44/11.11 42.44/11.11 a{#,(f4)}(f4(a)(a(f4)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.44/11.11 42.44/11.11 a{#,(f4)}(f4(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.44/11.11 42.44/11.11 a{#,(f4)}(f4(a)(a(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.44/11.11 42.44/11.11 f4(b)(b(b)(b(b)(b(f4)(x1)))) = x1 + 1 >= x1 + 1 = f4(a)(a(f4)(x1)) 42.44/11.11 42.44/11.11 f4(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 1 >= x1 + 1 = f4(a)(a(b)(x1)) 42.44/11.11 42.44/11.11 f4(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 1 >= x1 + 1 = f4(a)(a(a)(x1)) 42.44/11.11 42.44/11.11 b(b)(b(b)(b(b)(b(f4)(x1)))) = x1 >= x1 = b(a)(a(f4)(x1)) 42.44/11.11 42.44/11.11 b(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = b(a)(a(b)(x1)) 42.44/11.11 42.44/11.11 b(b)(b(b)(b(b)(b(a)(x1)))) = x1 >= x1 = b(a)(a(a)(x1)) 42.44/11.11 42.44/11.11 a(b)(b(b)(b(b)(b(f4)(x1)))) = x1 >= x1 = a(a)(a(f4)(x1)) 42.44/11.11 42.44/11.11 a(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = a(a)(a(b)(x1)) 42.44/11.11 42.44/11.11 a(b)(b(b)(b(b)(b(a)(x1)))) = x1 >= x1 = a(a)(a(a)(x1)) 42.44/11.11 42.44/11.11 f4(a)(a(a)(a(a)(a(f4)(x1)))) = x1 + 1 >= x1 + 1 = f4(b)(b(b)(b(f4)(x1))) 42.44/11.11 42.44/11.11 f4(a)(a(a)(a(a)(a(b)(x1)))) = x1 + 1 >= x1 + 1 = f4(b)(b(b)(b(b)(x1))) 42.44/11.11 42.44/11.11 f4(a)(a(a)(a(a)(a(a)(x1)))) = x1 + 1 >= x1 + 1 = f4(b)(b(b)(b(a)(x1))) 42.44/11.11 42.44/11.11 b(a)(a(a)(a(a)(a(f4)(x1)))) = x1 >= x1 = b(b)(b(b)(b(f4)(x1))) 42.44/11.11 42.44/11.11 b(a)(a(a)(a(a)(a(b)(x1)))) = x1 >= x1 = b(b)(b(b)(b(b)(x1))) 42.44/11.11 42.44/11.11 b(a)(a(a)(a(a)(a(a)(x1)))) = x1 >= x1 = b(b)(b(b)(b(a)(x1))) 42.44/11.11 42.44/11.11 a(a)(a(a)(a(a)(a(f4)(x1)))) = x1 >= x1 = a(b)(b(b)(b(f4)(x1))) 42.44/11.11 42.44/11.11 a(a)(a(a)(a(a)(a(b)(x1)))) = x1 >= x1 = a(b)(b(b)(b(b)(x1))) 42.44/11.11 42.44/11.11 a(a)(a(a)(a(a)(a(a)(x1)))) = x1 >= x1 = a(b)(b(b)(b(a)(x1))) 42.44/11.11 42.44/11.11 a(a)(a(f4)(x1)) = x1 >= x1 = a(b)(b(a)(a(f4)(x1))) 42.44/11.11 42.44/11.11 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(b(a)(a(b)(x1))) 42.44/11.11 42.44/11.11 a(a)(a(a)(x1)) = x1 >= x1 = a(b)(b(a)(a(a)(x1))) 42.44/11.11 problem: 42.44/11.11 DPs: 42.44/11.11 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1)) 42.44/11.11 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) 42.44/11.11 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) 42.44/11.11 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) 42.44/11.11 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) 42.44/11.11 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) 42.44/11.11 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) 42.44/11.11 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.44/11.11 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.44/11.11 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.44/11.11 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.44/11.11 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.44/11.11 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.44/11.11 TRS: 42.44/11.11 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.44/11.11 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.44/11.11 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.44/11.11 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.44/11.11 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.44/11.11 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.44/11.11 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.44/11.11 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.44/11.11 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.44/11.11 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.44/11.11 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.44/11.11 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.44/11.11 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.44/11.11 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.44/11.11 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.44/11.11 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.44/11.11 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.44/11.11 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.44/11.11 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.44/11.11 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.44/11.11 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.44/11.11 Polynomial Interpretation Processor: 42.44/11.11 dimension: 1 42.44/11.11 usable rules: 42.44/11.11 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.44/11.16 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.44/11.16 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.44/11.16 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.44/11.16 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.44/11.16 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.44/11.16 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.44/11.16 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.44/11.16 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.44/11.16 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.44/11.16 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.44/11.16 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.44/11.16 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.44/11.16 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.44/11.16 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.44/11.16 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.44/11.16 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.44/11.16 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.44/11.16 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.44/11.16 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.44/11.16 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.44/11.16 interpretation: 42.44/11.16 [a(b)](x0) = x0 + 1, 42.44/11.16 42.44/11.16 [a(f4)](x0) = 1, 42.44/11.16 42.44/11.16 [a(a)](x0) = x0 + 1, 42.44/11.16 42.44/11.16 [f4(a)](x0) = x0, 42.44/11.16 42.44/11.16 [b(a)](x0) = x0, 42.44/11.16 42.44/11.16 [a{#,(f4)}](x0) = x0, 42.44/11.16 42.44/11.16 [b(f4)](x0) = 1, 42.44/11.16 42.44/11.16 [b(b)](x0) = x0 + 1, 42.44/11.16 42.44/11.16 [f4(b)](x0) = x0, 42.44/11.16 42.44/11.16 [b{#,(f4)}](x0) = x0 42.44/11.16 orientation: 42.44/11.16 b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) = x1 + 2 >= x1 = a{#,(f4)}(f4(b)(x1)) 42.44/11.16 42.44/11.16 b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) = x1 + 1 >= x1 = a{#,(f4)}(f4(a)(x1)) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 + 2 >= x1 = b{#,(f4)}(f4(b)(x1)) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = x1 + 2 >= x1 = b{#,(f4)}(f4(a)(x1)) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) = 2 >= 1 = b{#,(f4)}(f4(b)(b(f4)(x1))) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 + 2 >= x1 + 1 = b{#,(f4)}(f4(b)(b(b)(x1))) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = x1 + 2 >= x1 = b{#,(f4)}(f4(b)(b(a)(x1))) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(f4)(x1))) = 1 >= 1 = b{#,(f4)}(f4(a)(a(f4)(x1))) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(b)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f4)}(f4(a)(a(b)(x1))) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(a)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f4)}(f4(a)(a(a)(x1))) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(f4)(x1))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.44/11.16 42.44/11.16 a{#,(f4)}(f4(a)(a(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.44/11.16 42.44/11.16 f4(b)(b(b)(b(b)(b(f4)(x1)))) = 3 >= 1 = f4(a)(a(f4)(x1)) 42.44/11.16 42.44/11.16 f4(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 3 >= x1 + 1 = f4(a)(a(b)(x1)) 42.44/11.16 42.44/11.16 f4(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 2 >= x1 + 1 = f4(a)(a(a)(x1)) 42.44/11.16 42.44/11.16 b(b)(b(b)(b(b)(b(f4)(x1)))) = 4 >= 1 = b(a)(a(f4)(x1)) 42.44/11.16 42.44/11.16 b(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= x1 + 1 = b(a)(a(b)(x1)) 42.44/11.16 42.44/11.16 b(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 3 >= x1 + 1 = b(a)(a(a)(x1)) 42.44/11.16 42.44/11.16 a(b)(b(b)(b(b)(b(f4)(x1)))) = 4 >= 2 = a(a)(a(f4)(x1)) 42.44/11.16 42.44/11.16 a(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= x1 + 2 = a(a)(a(b)(x1)) 42.44/11.16 42.44/11.16 a(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 3 >= x1 + 2 = a(a)(a(a)(x1)) 42.44/11.16 42.44/11.16 f4(a)(a(a)(a(a)(a(f4)(x1)))) = 3 >= 2 = f4(b)(b(b)(b(f4)(x1))) 42.44/11.16 42.44/11.16 f4(a)(a(a)(a(a)(a(b)(x1)))) = x1 + 3 >= x1 + 2 = f4(b)(b(b)(b(b)(x1))) 42.44/11.16 42.44/11.16 f4(a)(a(a)(a(a)(a(a)(x1)))) = x1 + 3 >= x1 + 1 = f4(b)(b(b)(b(a)(x1))) 42.44/11.16 42.44/11.16 b(a)(a(a)(a(a)(a(f4)(x1)))) = 3 >= 3 = b(b)(b(b)(b(f4)(x1))) 42.44/11.16 42.44/11.16 b(a)(a(a)(a(a)(a(b)(x1)))) = x1 + 3 >= x1 + 3 = b(b)(b(b)(b(b)(x1))) 42.44/11.16 42.44/11.16 b(a)(a(a)(a(a)(a(a)(x1)))) = x1 + 3 >= x1 + 2 = b(b)(b(b)(b(a)(x1))) 42.44/11.16 42.44/11.16 a(a)(a(a)(a(a)(a(f4)(x1)))) = 4 >= 3 = a(b)(b(b)(b(f4)(x1))) 42.44/11.16 42.44/11.16 a(a)(a(a)(a(a)(a(b)(x1)))) = x1 + 4 >= x1 + 3 = a(b)(b(b)(b(b)(x1))) 42.44/11.16 42.44/11.16 a(a)(a(a)(a(a)(a(a)(x1)))) = x1 + 4 >= x1 + 2 = a(b)(b(b)(b(a)(x1))) 42.44/11.17 42.44/11.17 a(a)(a(f4)(x1)) = 2 >= 2 = a(b)(b(a)(a(f4)(x1))) 42.44/11.17 42.44/11.17 a(a)(a(b)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(a)(a(b)(x1))) 42.44/11.17 42.44/11.17 a(a)(a(a)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(a)(a(a)(x1))) 42.44/11.17 problem: 42.44/11.17 DPs: 42.44/11.17 a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) 42.44/11.17 a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) 42.44/11.17 a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) 42.44/11.17 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.44/11.17 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.44/11.17 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.44/11.17 TRS: 42.44/11.17 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.44/11.17 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.44/11.17 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.44/11.17 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.44/11.17 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.44/11.17 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.44/11.17 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.44/11.17 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.44/11.17 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.44/11.17 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.44/11.17 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.44/11.17 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.44/11.17 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.44/11.17 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.44/11.17 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.44/11.17 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.44/11.17 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.44/11.17 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.44/11.17 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.44/11.17 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.44/11.17 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.44/11.17 SCC Processor: 42.44/11.17 #sccs: 1 42.44/11.17 #rules: 3 42.44/11.17 #arcs: 99/36 42.44/11.17 DPs: 42.44/11.17 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.44/11.17 a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.44/11.17 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.44/11.17 TRS: 42.44/11.17 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.44/11.17 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.44/11.17 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.44/11.17 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.44/11.17 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.44/11.17 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.44/11.17 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.44/11.17 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.44/11.17 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.44/11.17 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.44/11.17 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.44/11.17 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.44/11.17 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.44/11.17 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.44/11.17 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.44/11.17 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.44/11.17 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.44/11.17 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.44/11.17 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.44/11.17 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.44/11.17 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.44/11.17 Polynomial Interpretation Processor: 42.44/11.17 dimension: 1 42.44/11.17 usable rules: 42.44/11.17 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.44/11.17 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.44/11.17 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.44/11.17 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.44/11.17 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.44/11.17 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.44/11.17 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.44/11.17 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.44/11.17 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.44/11.17 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.53/11.21 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.53/11.21 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.53/11.21 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.53/11.21 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.53/11.21 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.53/11.21 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.53/11.21 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.53/11.21 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.53/11.21 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.53/11.21 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.53/11.21 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.53/11.21 interpretation: 42.53/11.21 [a(b)](x0) = 1, 42.53/11.21 42.53/11.21 [a(f4)](x0) = 0, 42.53/11.21 42.53/11.21 [a(a)](x0) = 1, 42.53/11.21 42.53/11.21 [f4(a)](x0) = 1, 42.53/11.21 42.53/11.21 [b(a)](x0) = x0, 42.53/11.21 42.53/11.21 [a{#,(f4)}](x0) = x0, 42.53/11.21 42.53/11.21 [b(f4)](x0) = 0, 42.53/11.21 42.53/11.21 [b(b)](x0) = 1, 42.53/11.21 42.53/11.21 [f4(b)](x0) = x0 42.53/11.21 orientation: 42.53/11.21 a{#,(f4)}(f4(a)(a(b)(x1))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.53/11.21 42.53/11.21 a{#,(f4)}(f4(a)(a(f4)(x1))) = 1 >= 0 = a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) 42.53/11.21 42.53/11.21 a{#,(f4)}(f4(a)(a(a)(x1))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.53/11.21 42.53/11.21 f4(b)(b(b)(b(b)(b(f4)(x1)))) = 1 >= 1 = f4(a)(a(f4)(x1)) 42.53/11.21 42.53/11.21 f4(b)(b(b)(b(b)(b(b)(x1)))) = 1 >= 1 = f4(a)(a(b)(x1)) 42.53/11.21 42.53/11.21 f4(b)(b(b)(b(b)(b(a)(x1)))) = 1 >= 1 = f4(a)(a(a)(x1)) 42.53/11.21 42.53/11.21 b(b)(b(b)(b(b)(b(f4)(x1)))) = 1 >= 0 = b(a)(a(f4)(x1)) 42.53/11.21 42.53/11.21 b(b)(b(b)(b(b)(b(b)(x1)))) = 1 >= 1 = b(a)(a(b)(x1)) 42.53/11.21 42.53/11.21 b(b)(b(b)(b(b)(b(a)(x1)))) = 1 >= 1 = b(a)(a(a)(x1)) 42.53/11.21 42.53/11.21 a(b)(b(b)(b(b)(b(f4)(x1)))) = 1 >= 1 = a(a)(a(f4)(x1)) 42.53/11.21 42.53/11.21 a(b)(b(b)(b(b)(b(b)(x1)))) = 1 >= 1 = a(a)(a(b)(x1)) 42.53/11.21 42.53/11.21 a(b)(b(b)(b(b)(b(a)(x1)))) = 1 >= 1 = a(a)(a(a)(x1)) 42.53/11.21 42.53/11.21 f4(a)(a(a)(a(a)(a(f4)(x1)))) = 1 >= 1 = f4(b)(b(b)(b(f4)(x1))) 42.53/11.21 42.53/11.21 f4(a)(a(a)(a(a)(a(b)(x1)))) = 1 >= 1 = f4(b)(b(b)(b(b)(x1))) 42.53/11.21 42.53/11.21 f4(a)(a(a)(a(a)(a(a)(x1)))) = 1 >= 1 = f4(b)(b(b)(b(a)(x1))) 42.53/11.21 42.53/11.21 b(a)(a(a)(a(a)(a(f4)(x1)))) = 1 >= 1 = b(b)(b(b)(b(f4)(x1))) 42.53/11.21 42.53/11.21 b(a)(a(a)(a(a)(a(b)(x1)))) = 1 >= 1 = b(b)(b(b)(b(b)(x1))) 42.53/11.21 42.53/11.21 b(a)(a(a)(a(a)(a(a)(x1)))) = 1 >= 1 = b(b)(b(b)(b(a)(x1))) 42.53/11.21 42.53/11.21 a(a)(a(a)(a(a)(a(f4)(x1)))) = 1 >= 1 = a(b)(b(b)(b(f4)(x1))) 42.53/11.21 42.53/11.21 a(a)(a(a)(a(a)(a(b)(x1)))) = 1 >= 1 = a(b)(b(b)(b(b)(x1))) 42.53/11.21 42.53/11.21 a(a)(a(a)(a(a)(a(a)(x1)))) = 1 >= 1 = a(b)(b(b)(b(a)(x1))) 42.53/11.21 42.53/11.21 a(a)(a(f4)(x1)) = 1 >= 1 = a(b)(b(a)(a(f4)(x1))) 42.53/11.21 42.53/11.21 a(a)(a(b)(x1)) = 1 >= 1 = a(b)(b(a)(a(b)(x1))) 42.53/11.21 42.53/11.21 a(a)(a(a)(x1)) = 1 >= 1 = a(b)(b(a)(a(a)(x1))) 42.53/11.21 problem: 42.53/11.21 DPs: 42.53/11.21 a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.53/11.21 a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.53/11.21 TRS: 42.53/11.21 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.53/11.21 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.53/11.21 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.53/11.21 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.53/11.21 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.53/11.21 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.53/11.21 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.53/11.21 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.53/11.21 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.53/11.21 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.53/11.21 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.53/11.21 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.53/11.21 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.53/11.21 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.53/11.21 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.53/11.21 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.53/11.21 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.53/11.25 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.53/11.25 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.53/11.25 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.53/11.25 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.53/11.25 Polynomial Interpretation Processor: 42.53/11.25 dimension: 1 42.53/11.25 usable rules: 42.53/11.25 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.53/11.25 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.53/11.25 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.53/11.25 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.53/11.25 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.53/11.25 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.53/11.25 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.53/11.25 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.53/11.25 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.53/11.25 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.53/11.25 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.53/11.25 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.53/11.25 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.53/11.25 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.53/11.25 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.53/11.25 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.53/11.25 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.53/11.25 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.53/11.25 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.53/11.25 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.53/11.25 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.53/11.25 interpretation: 42.53/11.25 [a(b)](x0) = x0 + 1, 42.53/11.25 42.53/11.25 [a(f4)](x0) = 1, 42.53/11.25 42.53/11.25 [a(a)](x0) = x0 + 1, 42.53/11.25 42.53/11.25 [f4(a)](x0) = x0 + 1, 42.53/11.25 42.53/11.25 [b(a)](x0) = x0, 42.53/11.25 42.53/11.25 [a{#,(f4)}](x0) = x0, 42.53/11.25 42.53/11.25 [b(f4)](x0) = 1, 42.53/11.25 42.53/11.25 [b(b)](x0) = x0 + 1, 42.53/11.25 42.53/11.25 [f4(b)](x0) = x0 42.53/11.25 orientation: 42.53/11.25 a{#,(f4)}(f4(a)(a(b)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) 42.53/11.25 42.53/11.25 a{#,(f4)}(f4(a)(a(a)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) 42.53/11.25 42.53/11.25 f4(b)(b(b)(b(b)(b(f4)(x1)))) = 3 >= 2 = f4(a)(a(f4)(x1)) 42.53/11.25 42.53/11.25 f4(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 3 >= x1 + 2 = f4(a)(a(b)(x1)) 42.53/11.25 42.53/11.25 f4(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 2 >= x1 + 2 = f4(a)(a(a)(x1)) 42.53/11.25 42.53/11.25 b(b)(b(b)(b(b)(b(f4)(x1)))) = 4 >= 1 = b(a)(a(f4)(x1)) 42.53/11.25 42.53/11.25 b(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= x1 + 1 = b(a)(a(b)(x1)) 42.53/11.25 42.53/11.25 b(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 3 >= x1 + 1 = b(a)(a(a)(x1)) 42.53/11.25 42.53/11.25 a(b)(b(b)(b(b)(b(f4)(x1)))) = 4 >= 2 = a(a)(a(f4)(x1)) 42.53/11.25 42.53/11.25 a(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= x1 + 2 = a(a)(a(b)(x1)) 42.53/11.25 42.53/11.25 a(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 3 >= x1 + 2 = a(a)(a(a)(x1)) 42.53/11.25 42.53/11.25 f4(a)(a(a)(a(a)(a(f4)(x1)))) = 4 >= 2 = f4(b)(b(b)(b(f4)(x1))) 42.53/11.25 42.53/11.25 f4(a)(a(a)(a(a)(a(b)(x1)))) = x1 + 4 >= x1 + 2 = f4(b)(b(b)(b(b)(x1))) 42.53/11.25 42.53/11.25 f4(a)(a(a)(a(a)(a(a)(x1)))) = x1 + 4 >= x1 + 1 = f4(b)(b(b)(b(a)(x1))) 42.53/11.25 42.53/11.25 b(a)(a(a)(a(a)(a(f4)(x1)))) = 3 >= 3 = b(b)(b(b)(b(f4)(x1))) 42.53/11.25 42.53/11.25 b(a)(a(a)(a(a)(a(b)(x1)))) = x1 + 3 >= x1 + 3 = b(b)(b(b)(b(b)(x1))) 42.53/11.25 42.53/11.25 b(a)(a(a)(a(a)(a(a)(x1)))) = x1 + 3 >= x1 + 2 = b(b)(b(b)(b(a)(x1))) 42.53/11.25 42.53/11.25 a(a)(a(a)(a(a)(a(f4)(x1)))) = 4 >= 3 = a(b)(b(b)(b(f4)(x1))) 42.53/11.25 42.53/11.25 a(a)(a(a)(a(a)(a(b)(x1)))) = x1 + 4 >= x1 + 3 = a(b)(b(b)(b(b)(x1))) 42.53/11.25 42.53/11.25 a(a)(a(a)(a(a)(a(a)(x1)))) = x1 + 4 >= x1 + 2 = a(b)(b(b)(b(a)(x1))) 42.53/11.25 42.53/11.25 a(a)(a(f4)(x1)) = 2 >= 2 = a(b)(b(a)(a(f4)(x1))) 42.53/11.25 42.53/11.25 a(a)(a(b)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(a)(a(b)(x1))) 42.53/11.25 42.53/11.25 a(a)(a(a)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(a)(a(a)(x1))) 42.53/11.25 problem: 42.53/11.25 DPs: 42.53/11.25 42.53/11.25 TRS: 42.53/11.25 f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1)) 42.53/11.25 f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1)) 42.53/11.25 f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1)) 42.53/11.25 b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1)) 42.53/11.25 b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1)) 42.53/11.25 b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1)) 42.53/11.25 a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1)) 42.53/11.25 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1)) 42.53/11.25 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1)) 42.53/11.25 f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(b)(b(f4)(x1))) 42.53/11.25 f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(b)(b(b)(x1))) 42.53/11.25 f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(b)(b(a)(x1))) 42.53/11.25 b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(b)(b(f4)(x1))) 42.53/11.25 b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(x1))) 42.53/11.25 b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(b)(b(a)(x1))) 42.53/11.25 a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(b)(b(f4)(x1))) 42.53/11.25 a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(x1))) 42.53/11.26 a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(b)(b(a)(x1))) 42.53/11.26 a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1))) 42.53/11.26 a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1))) 42.53/11.26 a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1))) 42.53/11.26 Qed 42.53/11.26 EOF