43.57/11.33 YES 43.57/11.34 43.57/11.34 Problem: 43.57/11.34 a(x1) -> x1 43.57/11.34 a(b(x1)) -> c(x1) 43.57/11.34 b(x1) -> x1 43.57/11.34 c(c(x1)) -> b(b(a(a(c(x1))))) 43.57/11.34 43.57/11.34 Proof: 43.57/11.34 DP Processor: 43.57/11.34 DPs: 43.57/11.34 a#(b(x1)) -> c#(x1) 43.57/11.34 c#(c(x1)) -> a#(c(x1)) 43.57/11.34 c#(c(x1)) -> a#(a(c(x1))) 43.57/11.34 c#(c(x1)) -> b#(a(a(c(x1)))) 43.57/11.34 c#(c(x1)) -> b#(b(a(a(c(x1))))) 43.57/11.34 TRS: 43.57/11.34 a(x1) -> x1 43.57/11.34 a(b(x1)) -> c(x1) 43.57/11.34 b(x1) -> x1 43.57/11.34 c(c(x1)) -> b(b(a(a(c(x1))))) 43.57/11.34 TDG Processor: 43.57/11.34 DPs: 43.57/11.34 a#(b(x1)) -> c#(x1) 43.57/11.34 c#(c(x1)) -> a#(c(x1)) 43.57/11.34 c#(c(x1)) -> a#(a(c(x1))) 43.57/11.34 c#(c(x1)) -> b#(a(a(c(x1)))) 43.57/11.34 c#(c(x1)) -> b#(b(a(a(c(x1))))) 43.57/11.34 TRS: 43.57/11.34 a(x1) -> x1 43.57/11.34 a(b(x1)) -> c(x1) 43.57/11.34 b(x1) -> x1 43.57/11.34 c(c(x1)) -> b(b(a(a(c(x1))))) 43.57/11.34 graph: 43.57/11.34 c#(c(x1)) -> a#(c(x1)) -> a#(b(x1)) -> c#(x1) 43.57/11.34 c#(c(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> c#(x1) 43.57/11.34 a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> b#(b(a(a(c(x1))))) 43.57/11.34 a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> b#(a(a(c(x1)))) 43.57/11.34 a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> a#(a(c(x1))) 43.57/11.34 a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> a#(c(x1)) 43.57/11.34 SCC Processor: 43.57/11.34 #sccs: 1 43.57/11.34 #rules: 3 43.57/11.34 #arcs: 6/25 43.57/11.34 DPs: 43.57/11.34 c#(c(x1)) -> a#(c(x1)) 43.57/11.34 a#(b(x1)) -> c#(x1) 43.57/11.34 c#(c(x1)) -> a#(a(c(x1))) 43.57/11.34 TRS: 43.57/11.34 a(x1) -> x1 43.57/11.34 a(b(x1)) -> c(x1) 43.57/11.34 b(x1) -> x1 43.57/11.34 c(c(x1)) -> b(b(a(a(c(x1))))) 43.57/11.34 Root-Labeling Processor: 43.57/11.34 DPs: 43.57/11.34 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 43.57/11.34 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 43.57/11.34 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 43.57/11.34 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 43.57/11.34 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.34 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.34 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.34 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.34 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 43.57/11.34 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 43.57/11.34 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 43.57/11.34 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 43.57/11.34 TRS: 43.57/11.34 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 43.57/11.34 f6(a)(a(a)(x1)) -> f6(a)(x1) 43.57/11.34 f6(a)(a(b)(x1)) -> f6(b)(x1) 43.57/11.34 f6(a)(a(c)(x1)) -> f6(c)(x1) 43.57/11.34 a(a)(a(f6)(x1)) -> a(f6)(x1) 43.57/11.34 a(a)(a(a)(x1)) -> a(a)(x1) 43.57/11.34 a(a)(a(b)(x1)) -> a(b)(x1) 43.57/11.34 a(a)(a(c)(x1)) -> a(c)(x1) 43.57/11.34 b(a)(a(f6)(x1)) -> b(f6)(x1) 43.57/11.34 b(a)(a(a)(x1)) -> b(a)(x1) 43.57/11.34 b(a)(a(b)(x1)) -> b(b)(x1) 43.57/11.34 b(a)(a(c)(x1)) -> b(c)(x1) 43.57/11.34 c(a)(a(f6)(x1)) -> c(f6)(x1) 43.57/11.34 c(a)(a(a)(x1)) -> c(a)(x1) 43.57/11.34 c(a)(a(b)(x1)) -> c(b)(x1) 43.57/11.34 c(a)(a(c)(x1)) -> c(c)(x1) 43.57/11.34 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(f6)(x1)) 43.57/11.34 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1)) 43.57/11.34 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1)) 43.57/11.34 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1)) 43.57/11.34 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(f6)(x1)) 43.57/11.34 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1)) 43.57/11.34 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1)) 43.57/11.34 a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1)) 43.57/11.34 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(f6)(x1)) 43.57/11.34 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1)) 43.57/11.34 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1)) 43.57/11.34 b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1)) 43.57/11.34 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(f6)(x1)) 43.57/11.34 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1)) 43.57/11.34 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1)) 43.57/11.34 c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1)) 43.57/11.34 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 43.57/11.34 f6(b)(b(a)(x1)) -> f6(a)(x1) 43.57/11.34 f6(b)(b(b)(x1)) -> f6(b)(x1) 43.57/11.34 f6(b)(b(c)(x1)) -> f6(c)(x1) 43.57/11.34 a(b)(b(f6)(x1)) -> a(f6)(x1) 43.57/11.34 a(b)(b(a)(x1)) -> a(a)(x1) 43.57/11.34 a(b)(b(b)(x1)) -> a(b)(x1) 43.57/11.34 a(b)(b(c)(x1)) -> a(c)(x1) 43.57/11.34 b(b)(b(f6)(x1)) -> b(f6)(x1) 43.57/11.34 b(b)(b(a)(x1)) -> b(a)(x1) 43.57/11.34 b(b)(b(b)(x1)) -> b(b)(x1) 43.57/11.34 b(b)(b(c)(x1)) -> b(c)(x1) 43.57/11.34 c(b)(b(f6)(x1)) -> c(f6)(x1) 43.57/11.34 c(b)(b(a)(x1)) -> c(a)(x1) 43.57/11.34 c(b)(b(b)(x1)) -> c(b)(x1) 43.57/11.34 c(b)(b(c)(x1)) -> c(c)(x1) 43.57/11.34 f6(c)(c(c)(c(f6)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.57/11.34 f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.57/11.34 f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.57/11.34 f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.57/11.35 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.57/11.35 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.57/11.35 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.57/11.35 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.57/11.35 b(c)(c(c)(c(f6)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.57/11.35 b(c)(c(c)(c(a)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.57/11.35 b(c)(c(c)(c(b)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.57/11.35 b(c)(c(c)(c(c)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.57/11.35 c(c)(c(c)(c(f6)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.57/11.35 c(c)(c(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.57/11.35 c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.57/11.35 c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.57/11.35 TDG Processor: 43.57/11.35 DPs: 43.57/11.35 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 43.57/11.35 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 43.57/11.35 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 43.57/11.35 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 43.57/11.35 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.35 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.35 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.35 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.35 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 43.57/11.35 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 43.57/11.35 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 43.57/11.35 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 43.57/11.35 TRS: 43.57/11.35 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 43.57/11.35 f6(a)(a(a)(x1)) -> f6(a)(x1) 43.57/11.35 f6(a)(a(b)(x1)) -> f6(b)(x1) 43.57/11.35 f6(a)(a(c)(x1)) -> f6(c)(x1) 43.57/11.35 a(a)(a(f6)(x1)) -> a(f6)(x1) 43.57/11.35 a(a)(a(a)(x1)) -> a(a)(x1) 43.57/11.35 a(a)(a(b)(x1)) -> a(b)(x1) 43.57/11.35 a(a)(a(c)(x1)) -> a(c)(x1) 43.57/11.35 b(a)(a(f6)(x1)) -> b(f6)(x1) 43.57/11.35 b(a)(a(a)(x1)) -> b(a)(x1) 43.57/11.35 b(a)(a(b)(x1)) -> b(b)(x1) 43.57/11.35 b(a)(a(c)(x1)) -> b(c)(x1) 43.57/11.35 c(a)(a(f6)(x1)) -> c(f6)(x1) 43.57/11.35 c(a)(a(a)(x1)) -> c(a)(x1) 43.57/11.35 c(a)(a(b)(x1)) -> c(b)(x1) 43.57/11.35 c(a)(a(c)(x1)) -> c(c)(x1) 43.57/11.35 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(f6)(x1)) 43.57/11.35 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1)) 43.57/11.35 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1)) 43.57/11.35 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1)) 43.57/11.35 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(f6)(x1)) 43.57/11.35 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1)) 43.57/11.35 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1)) 43.57/11.35 a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1)) 43.57/11.35 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(f6)(x1)) 43.57/11.35 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1)) 43.57/11.35 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1)) 43.57/11.35 b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1)) 43.57/11.35 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(f6)(x1)) 43.57/11.35 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1)) 43.57/11.35 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1)) 43.57/11.35 c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1)) 43.57/11.35 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 43.57/11.35 f6(b)(b(a)(x1)) -> f6(a)(x1) 43.57/11.35 f6(b)(b(b)(x1)) -> f6(b)(x1) 43.57/11.35 f6(b)(b(c)(x1)) -> f6(c)(x1) 43.57/11.35 a(b)(b(f6)(x1)) -> a(f6)(x1) 43.57/11.35 a(b)(b(a)(x1)) -> a(a)(x1) 43.57/11.35 a(b)(b(b)(x1)) -> a(b)(x1) 43.57/11.35 a(b)(b(c)(x1)) -> a(c)(x1) 43.57/11.35 b(b)(b(f6)(x1)) -> b(f6)(x1) 43.57/11.35 b(b)(b(a)(x1)) -> b(a)(x1) 43.57/11.35 b(b)(b(b)(x1)) -> b(b)(x1) 43.57/11.35 b(b)(b(c)(x1)) -> b(c)(x1) 43.57/11.35 c(b)(b(f6)(x1)) -> c(f6)(x1) 43.57/11.35 c(b)(b(a)(x1)) -> c(a)(x1) 43.57/11.35 c(b)(b(b)(x1)) -> c(b)(x1) 43.57/11.35 c(b)(b(c)(x1)) -> c(c)(x1) 43.57/11.35 f6(c)(c(c)(c(f6)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.57/11.35 f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.57/11.35 f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.57/11.35 f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.57/11.35 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.57/11.35 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.57/11.35 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.57/11.35 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.57/11.36 b(c)(c(c)(c(f6)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.57/11.36 b(c)(c(c)(c(a)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.57/11.36 b(c)(c(c)(c(b)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.57/11.36 b(c)(c(c)(c(c)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.57/11.36 c(c)(c(c)(c(f6)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.57/11.36 c(c)(c(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.57/11.36 c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.57/11.36 c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.57/11.36 graph: 43.57/11.36 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 43.57/11.36 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 43.57/11.36 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 43.57/11.36 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 43.57/11.37 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 43.57/11.37 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 43.57/11.37 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 43.57/11.37 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 43.57/11.37 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 43.57/11.37 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 43.57/11.37 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 43.57/11.37 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 43.57/11.37 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 43.57/11.37 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) -> 43.57/11.37 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.37 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) -> 43.57/11.37 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.37 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) -> 43.57/11.37 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.38 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) -> 43.57/11.38 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.39 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) -> 43.57/11.39 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.39 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) -> 43.57/11.39 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 43.57/11.39 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) -> 43.57/11.39 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 43.57/11.39 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) -> 43.57/11.39 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 43.57/11.39 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) -> 43.57/11.39 a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 43.57/11.39 Polynomial Interpretation Processor: 43.57/11.39 dimension: 1 43.57/11.39 interpretation: 43.57/11.39 [a(b)](x0) = x0, 43.57/11.39 43.57/11.39 [a(a)](x0) = x0, 43.57/11.39 43.57/11.39 [a(f6)](x0) = x0 + 1, 43.57/11.39 43.57/11.39 [a(c)](x0) = x0, 43.57/11.39 43.57/11.39 [b(c)](x0) = x0, 43.57/11.39 43.57/11.39 [b(b)](x0) = x0, 43.57/11.39 43.57/11.39 [f6(a)](x0) = x0 + 1, 43.57/11.39 43.57/11.39 [b(a)](x0) = x0, 43.57/11.39 43.57/11.39 [f6(f6)](x0) = x0, 43.57/11.39 43.57/11.39 [b(f6)](x0) = x0 + 1, 43.57/11.39 43.57/11.39 [f6(b)](x0) = x0 + 1, 43.57/11.39 43.57/11.39 [c(c)](x0) = x0, 43.57/11.39 43.57/11.39 [c(b)](x0) = x0, 43.57/11.39 43.57/11.39 [c(a)](x0) = x0, 43.57/11.39 43.57/11.39 [a{#,(f6)}](x0) = x0 + 1, 43.57/11.39 43.57/11.39 [c(f6)](x0) = x0 + 1, 43.57/11.39 43.57/11.39 [f6(c)](x0) = x0 + 1, 43.57/11.39 43.57/11.39 [c{#,(f6)}](x0) = x0 + 1 43.57/11.39 orientation: 43.57/11.39 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(c)(c(f6)(x1))) 43.57/11.39 43.57/11.39 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(a)(x1))) 43.57/11.39 43.57/11.39 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(b)(x1))) 43.57/11.39 43.57/11.39 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(c)(x1))) 43.57/11.39 43.57/11.39 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 3 >= x1 + 1 = c{#,(f6)}(f6(f6)(x1)) 43.57/11.39 43.57/11.39 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c{#,(f6)}(f6(a)(x1)) 43.57/11.39 43.57/11.39 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c{#,(f6)}(f6(b)(x1)) 43.57/11.39 43.57/11.39 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = c{#,(f6)}(f6(c)(x1)) 43.57/11.39 43.57/11.39 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 43.57/11.39 43.57/11.39 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 43.57/11.39 43.57/11.39 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 43.57/11.39 43.57/11.39 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 43.57/11.39 43.57/11.39 f6(a)(a(f6)(x1)) = x1 + 2 >= x1 = f6(f6)(x1) 43.57/11.39 43.57/11.39 f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 43.57/11.39 43.57/11.39 f6(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1) 43.57/11.39 43.57/11.39 f6(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1) 43.57/11.39 43.57/11.39 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 43.57/11.39 43.57/11.39 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 43.57/11.39 43.57/11.39 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 43.57/11.39 43.57/11.39 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 43.57/11.39 43.57/11.39 b(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 43.57/11.39 43.57/11.39 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 43.57/11.39 43.57/11.39 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 43.57/11.39 43.57/11.39 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 43.57/11.39 43.57/11.39 c(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 43.57/11.39 43.57/11.39 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 43.57/11.39 43.57/11.39 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1) 43.57/11.39 43.57/11.39 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 43.57/11.39 43.57/11.39 f6(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(f6)(x1)) 43.57/11.39 43.57/11.39 f6(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(a)(x1)) 43.57/11.39 43.57/11.39 f6(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(b)(x1)) 43.57/11.39 43.57/11.39 f6(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(c)(x1)) 43.57/11.39 43.57/11.39 a(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(f6)(x1)) 43.57/11.39 43.57/11.39 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(a)(x1)) 43.57/11.39 43.57/11.39 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(x1)) 43.57/11.39 43.57/11.39 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(c)(x1)) 43.57/11.39 43.57/11.39 b(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(f6)(x1)) 46.10/13.87 46.10/13.87 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(a)(x1)) 46.10/13.87 46.10/13.87 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(b)(x1)) 46.10/13.87 46.10/13.87 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(c)(x1)) 46.10/13.87 46.10/13.87 c(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(c)(c(f6)(x1)) 46.10/13.87 46.10/13.87 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(a)(x1)) 46.10/13.87 46.10/13.87 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(b)(x1)) 46.10/13.87 46.10/13.87 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(c)(x1)) 46.10/13.87 46.10/13.87 f6(b)(b(f6)(x1)) = x1 + 2 >= x1 = f6(f6)(x1) 46.10/13.87 46.10/13.87 f6(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 46.10/13.87 46.10/13.87 f6(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1) 46.10/13.87 46.10/13.87 f6(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1) 46.10/13.87 46.10/13.87 a(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 46.10/13.87 46.10/13.87 a(b)(b(a)(x1)) = x1 >= x1 = a(a)(x1) 46.10/13.87 46.10/13.87 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 46.10/13.87 46.10/13.87 a(b)(b(c)(x1)) = x1 >= x1 = a(c)(x1) 46.10/13.87 46.10/13.87 b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 46.10/13.87 46.10/13.87 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 46.10/13.87 46.10/13.87 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 46.10/13.87 46.10/13.87 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 46.10/13.87 46.10/13.87 c(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 46.10/13.87 46.10/13.87 c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1) 46.10/13.87 46.10/13.87 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 46.10/13.87 46.10/13.87 c(b)(b(c)(x1)) = x1 >= x1 = c(c)(x1) 46.10/13.87 46.10/13.87 f6(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 2 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 46.10/13.87 46.10/13.87 f6(c)(c(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 46.10/13.87 46.10/13.87 f6(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 46.10/13.87 46.10/13.87 f6(c)(c(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 46.10/13.87 46.10/13.87 a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 46.10/13.87 46.10/13.87 a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 46.10/13.87 46.10/13.87 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 46.10/13.87 46.10/13.87 a(c)(c(c)(c(c)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 46.10/13.87 46.10/13.87 b(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 46.10/13.87 46.10/13.87 b(c)(c(c)(c(a)(x1))) = x1 >= x1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 46.10/13.87 46.10/13.87 b(c)(c(c)(c(b)(x1))) = x1 >= x1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 46.10/13.87 46.10/13.87 b(c)(c(c)(c(c)(x1))) = x1 >= x1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 46.10/13.87 46.10/13.87 c(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 46.10/13.87 46.10/13.87 c(c)(c(c)(c(a)(x1))) = x1 >= x1 = c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 46.10/13.87 46.10/13.87 c(c)(c(c)(c(b)(x1))) = x1 >= x1 = c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 46.10/13.87 46.10/13.87 c(c)(c(c)(c(c)(x1))) = x1 >= x1 = c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 46.10/13.87 problem: 46.10/13.87 DPs: 46.10/13.87 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 46.10/13.87 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 46.10/13.87 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 46.10/13.87 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 46.10/13.87 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 46.10/13.87 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 46.10/13.87 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 46.10/13.87 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 46.10/13.87 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 46.10/13.87 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 46.10/13.87 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 46.10/13.87 TRS: 46.10/13.87 f6(a)(a(a)(x1)) -> f6(a)(x1) 46.10/13.87 f6(a)(a(b)(x1)) -> f6(b)(x1) 46.10/13.87 f6(a)(a(c)(x1)) -> f6(c)(x1) 46.10/13.87 a(a)(a(f6)(x1)) -> a(f6)(x1) 46.10/13.87 a(a)(a(a)(x1)) -> a(a)(x1) 46.10/13.87 a(a)(a(b)(x1)) -> a(b)(x1) 46.10/13.87 a(a)(a(c)(x1)) -> a(c)(x1) 46.10/13.87 b(a)(a(f6)(x1)) -> b(f6)(x1) 46.10/13.87 b(a)(a(a)(x1)) -> b(a)(x1) 46.10/13.87 b(a)(a(b)(x1)) -> b(b)(x1) 46.10/13.87 b(a)(a(c)(x1)) -> b(c)(x1) 46.10/13.88 c(a)(a(f6)(x1)) -> c(f6)(x1) 46.10/13.88 c(a)(a(a)(x1)) -> c(a)(x1) 46.10/13.88 c(a)(a(b)(x1)) -> c(b)(x1) 46.10/13.88 c(a)(a(c)(x1)) -> c(c)(x1) 46.10/13.88 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(f6)(x1)) 46.10/13.88 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1)) 46.10/13.88 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1)) 46.10/13.88 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1)) 46.10/13.88 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(f6)(x1)) 46.10/13.88 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1)) 46.10/13.88 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1)) 46.10/13.88 a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1)) 46.10/13.88 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(f6)(x1)) 46.10/13.88 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1)) 46.10/13.88 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1)) 46.10/13.88 b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1)) 46.10/13.88 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(f6)(x1)) 46.10/13.88 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1)) 46.10/13.88 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1)) 46.10/13.88 c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1)) 46.10/13.88 f6(b)(b(a)(x1)) -> f6(a)(x1) 46.10/13.88 f6(b)(b(b)(x1)) -> f6(b)(x1) 46.10/13.88 f6(b)(b(c)(x1)) -> f6(c)(x1) 46.10/13.88 a(b)(b(f6)(x1)) -> a(f6)(x1) 46.10/13.88 a(b)(b(a)(x1)) -> a(a)(x1) 46.10/13.88 a(b)(b(b)(x1)) -> a(b)(x1) 46.10/13.88 a(b)(b(c)(x1)) -> a(c)(x1) 46.10/13.88 b(b)(b(f6)(x1)) -> b(f6)(x1) 46.10/13.88 b(b)(b(a)(x1)) -> b(a)(x1) 46.10/13.88 b(b)(b(b)(x1)) -> b(b)(x1) 46.10/13.88 b(b)(b(c)(x1)) -> b(c)(x1) 46.10/13.88 c(b)(b(f6)(x1)) -> c(f6)(x1) 46.10/13.88 c(b)(b(a)(x1)) -> c(a)(x1) 46.10/13.88 c(b)(b(b)(x1)) -> c(b)(x1) 46.10/13.88 c(b)(b(c)(x1)) -> c(c)(x1) 46.10/13.88 f6(c)(c(c)(c(f6)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 46.10/13.88 f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 46.10/13.88 f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 46.10/13.88 f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 46.10/13.88 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 46.10/13.88 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 46.10/13.88 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 46.10/13.88 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 46.10/13.88 b(c)(c(c)(c(f6)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 46.10/13.88 b(c)(c(c)(c(a)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 46.10/13.88 b(c)(c(c)(c(b)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 46.10/13.88 b(c)(c(c)(c(c)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 46.10/13.88 c(c)(c(c)(c(f6)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 46.10/13.88 c(c)(c(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 46.10/13.88 c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 46.10/13.88 c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 46.10/13.88 Polynomial Interpretation Processor: 46.10/13.88 dimension: 1 46.10/13.88 interpretation: 46.10/13.88 [a(b)](x0) = x0, 46.10/13.88 46.10/13.88 [a(a)](x0) = x0, 46.10/13.88 46.10/13.88 [a(f6)](x0) = x0 + 1, 46.10/13.88 46.10/13.88 [a(c)](x0) = x0, 46.10/13.88 46.10/13.88 [b(c)](x0) = x0, 46.10/13.88 46.10/13.88 [b(b)](x0) = x0, 46.10/13.88 46.10/13.88 [f6(a)](x0) = x0, 46.10/13.88 46.10/13.88 [b(a)](x0) = x0, 46.10/13.88 46.10/13.88 [b(f6)](x0) = x0 + 1, 46.10/13.88 46.10/13.88 [f6(b)](x0) = x0, 46.10/13.88 46.10/13.88 [c(c)](x0) = x0, 46.10/13.88 46.10/13.88 [c(b)](x0) = x0, 46.10/13.88 46.10/13.88 [c(a)](x0) = x0, 46.10/13.88 46.10/13.88 [a{#,(f6)}](x0) = x0, 46.10/13.88 46.10/13.88 [c(f6)](x0) = x0, 46.10/13.88 46.10/13.88 [f6(c)](x0) = x0, 46.10/13.88 46.10/13.88 [c{#,(f6)}](x0) = x0 46.10/13.88 orientation: 46.10/13.88 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(f6)(x1))) 46.10/13.88 46.10/13.88 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(a)(x1))) 46.10/13.88 46.10/13.88 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(b)(x1))) 46.10/13.88 46.10/13.88 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(c)(x1))) 46.10/13.88 46.10/13.88 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = c{#,(f6)}(f6(a)(x1)) 46.10/13.88 46.10/13.88 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(b)(x1)) 46.10/13.88 46.10/13.88 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(x1)) 46.10/13.88 46.10/13.88 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 46.10/13.88 46.10/13.88 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 47.85/15.59 47.85/15.59 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 47.85/15.59 47.85/15.59 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 47.85/15.59 47.85/15.59 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 47.85/15.59 47.85/15.59 f6(a)(a(b)(x1)) = x1 >= x1 = f6(b)(x1) 47.85/15.59 47.85/15.59 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 47.85/15.59 47.85/15.59 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 47.85/15.59 47.85/15.59 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 47.85/15.59 47.85/15.59 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 47.85/15.59 47.85/15.59 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 47.85/15.59 47.85/15.59 b(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 47.85/15.59 47.85/15.59 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 47.85/15.59 47.85/15.59 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 47.85/15.59 47.85/15.59 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 47.85/15.59 47.85/15.59 c(a)(a(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1) 47.85/15.59 47.85/15.59 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 47.85/15.59 47.85/15.59 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1) 47.85/15.59 47.85/15.59 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 47.85/15.59 47.85/15.59 f6(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 = f6(c)(c(f6)(x1)) 47.85/15.59 47.85/15.59 f6(a)(a(b)(b(a)(x1))) = x1 >= x1 = f6(c)(c(a)(x1)) 47.85/15.59 47.85/15.59 f6(a)(a(b)(b(b)(x1))) = x1 >= x1 = f6(c)(c(b)(x1)) 47.85/15.59 47.85/15.59 f6(a)(a(b)(b(c)(x1))) = x1 >= x1 = f6(c)(c(c)(x1)) 47.85/15.59 47.85/15.59 a(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 = a(c)(c(f6)(x1)) 47.85/15.59 47.85/15.59 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(a)(x1)) 47.85/15.59 47.85/15.59 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(x1)) 47.85/15.59 47.85/15.59 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(c)(x1)) 47.85/15.59 47.85/15.59 b(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 = b(c)(c(f6)(x1)) 47.85/15.59 47.85/15.59 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(a)(x1)) 47.85/15.59 47.85/15.59 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(b)(x1)) 47.85/15.59 47.85/15.59 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(c)(x1)) 47.85/15.59 47.85/15.59 c(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 = c(c)(c(f6)(x1)) 47.85/15.59 47.85/15.59 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(a)(x1)) 47.85/15.59 47.85/15.59 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(b)(x1)) 47.85/15.59 47.85/15.59 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(c)(x1)) 47.85/15.59 47.85/15.59 f6(b)(b(a)(x1)) = x1 >= x1 = f6(a)(x1) 47.85/15.59 47.85/15.59 f6(b)(b(b)(x1)) = x1 >= x1 = f6(b)(x1) 47.85/15.59 47.85/15.59 f6(b)(b(c)(x1)) = x1 >= x1 = f6(c)(x1) 47.85/15.59 47.85/15.59 a(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 47.85/15.59 47.85/15.59 a(b)(b(a)(x1)) = x1 >= x1 = a(a)(x1) 47.85/15.59 47.85/15.59 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 47.85/15.59 47.85/15.59 a(b)(b(c)(x1)) = x1 >= x1 = a(c)(x1) 47.85/15.59 47.85/15.59 b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 47.85/15.59 47.85/15.59 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 47.85/15.59 47.85/15.59 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 47.85/15.59 47.85/15.59 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 47.85/15.59 47.85/15.59 c(b)(b(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1) 47.85/15.59 47.85/15.59 c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1) 47.85/15.59 47.85/15.59 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 47.85/15.59 47.85/15.59 c(b)(b(c)(x1)) = x1 >= x1 = c(c)(x1) 47.85/15.59 47.85/15.59 f6(c)(c(c)(c(f6)(x1))) = x1 >= x1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 47.85/15.59 47.85/15.59 f6(c)(c(c)(c(a)(x1))) = x1 >= x1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 47.85/15.59 47.85/15.59 f6(c)(c(c)(c(b)(x1))) = x1 >= x1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 47.85/15.59 47.85/15.59 f6(c)(c(c)(c(c)(x1))) = x1 >= x1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 47.85/15.59 47.85/15.59 a(c)(c(c)(c(f6)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 47.85/15.59 47.85/15.59 a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 47.85/15.59 47.85/15.59 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 47.85/15.59 47.85/15.59 a(c)(c(c)(c(c)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 47.85/15.59 47.85/15.59 b(c)(c(c)(c(f6)(x1))) = x1 >= x1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 47.85/15.59 47.85/15.59 b(c)(c(c)(c(a)(x1))) = x1 >= x1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 47.85/15.59 47.85/15.59 b(c)(c(c)(c(b)(x1))) = x1 >= x1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 48.60/16.35 48.60/16.35 b(c)(c(c)(c(c)(x1))) = x1 >= x1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 48.60/16.35 48.60/16.35 c(c)(c(c)(c(f6)(x1))) = x1 >= x1 = c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 48.60/16.35 48.60/16.35 c(c)(c(c)(c(a)(x1))) = x1 >= x1 = c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 48.60/16.35 48.60/16.35 c(c)(c(c)(c(b)(x1))) = x1 >= x1 = c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 48.60/16.35 48.60/16.35 c(c)(c(c)(c(c)(x1))) = x1 >= x1 = c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 48.60/16.35 problem: 48.60/16.35 DPs: 48.60/16.35 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 48.60/16.35 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 48.60/16.35 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 48.60/16.35 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 48.60/16.35 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 48.60/16.35 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 48.60/16.35 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 48.60/16.35 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 48.60/16.35 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 48.60/16.35 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 48.60/16.35 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 48.60/16.35 TRS: 48.60/16.35 f6(a)(a(a)(x1)) -> f6(a)(x1) 48.60/16.35 f6(a)(a(b)(x1)) -> f6(b)(x1) 48.60/16.35 f6(a)(a(c)(x1)) -> f6(c)(x1) 48.60/16.35 a(a)(a(f6)(x1)) -> a(f6)(x1) 48.60/16.35 a(a)(a(a)(x1)) -> a(a)(x1) 48.60/16.35 a(a)(a(b)(x1)) -> a(b)(x1) 48.60/16.35 a(a)(a(c)(x1)) -> a(c)(x1) 48.60/16.35 b(a)(a(f6)(x1)) -> b(f6)(x1) 48.60/16.35 b(a)(a(a)(x1)) -> b(a)(x1) 48.60/16.35 b(a)(a(b)(x1)) -> b(b)(x1) 48.60/16.35 b(a)(a(c)(x1)) -> b(c)(x1) 48.60/16.35 c(a)(a(a)(x1)) -> c(a)(x1) 48.60/16.35 c(a)(a(b)(x1)) -> c(b)(x1) 48.60/16.35 c(a)(a(c)(x1)) -> c(c)(x1) 48.60/16.35 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1)) 48.60/16.35 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1)) 48.60/16.35 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1)) 48.60/16.35 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1)) 48.60/16.35 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1)) 48.60/16.35 a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1)) 48.60/16.35 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1)) 48.60/16.35 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1)) 48.60/16.35 b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1)) 48.60/16.35 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1)) 48.60/16.35 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1)) 48.60/16.35 c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1)) 48.60/16.35 f6(b)(b(a)(x1)) -> f6(a)(x1) 48.60/16.35 f6(b)(b(b)(x1)) -> f6(b)(x1) 48.60/16.35 f6(b)(b(c)(x1)) -> f6(c)(x1) 48.60/16.35 a(b)(b(f6)(x1)) -> a(f6)(x1) 48.60/16.35 a(b)(b(a)(x1)) -> a(a)(x1) 48.60/16.35 a(b)(b(b)(x1)) -> a(b)(x1) 48.60/16.35 a(b)(b(c)(x1)) -> a(c)(x1) 48.60/16.35 b(b)(b(f6)(x1)) -> b(f6)(x1) 48.60/16.35 b(b)(b(a)(x1)) -> b(a)(x1) 48.60/16.35 b(b)(b(b)(x1)) -> b(b)(x1) 48.60/16.35 b(b)(b(c)(x1)) -> b(c)(x1) 48.60/16.35 c(b)(b(a)(x1)) -> c(a)(x1) 48.60/16.35 c(b)(b(b)(x1)) -> c(b)(x1) 48.60/16.35 c(b)(b(c)(x1)) -> c(c)(x1) 48.60/16.35 f6(c)(c(c)(c(f6)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 48.60/16.35 f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 48.60/16.35 f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 48.60/16.35 f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 48.60/16.35 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 48.60/16.35 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 48.60/16.35 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 48.60/16.35 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 48.60/16.35 b(c)(c(c)(c(f6)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 48.60/16.35 b(c)(c(c)(c(a)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 48.60/16.35 b(c)(c(c)(c(b)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 48.60/16.35 b(c)(c(c)(c(c)(x1))) -> b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 48.60/16.35 c(c)(c(c)(c(f6)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 48.60/16.35 c(c)(c(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 48.60/16.35 c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 48.60/16.35 c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 48.60/16.37 Polynomial Interpretation Processor: 48.60/16.37 dimension: 1 48.60/16.37 interpretation: 48.60/16.37 [a(b)](x0) = x0 + 1, 48.60/16.37 48.60/16.37 [a(a)](x0) = x0, 48.60/16.37 48.60/16.37 [a(f6)](x0) = x0, 48.60/16.37 48.60/16.37 [a(c)](x0) = x0, 48.60/16.37 48.60/16.37 [b(c)](x0) = x0, 48.60/16.37 48.60/16.37 [b(b)](x0) = x0, 48.60/16.37 48.60/16.37 [f6(a)](x0) = x0, 48.60/16.37 48.60/16.37 [b(a)](x0) = x0, 48.60/16.37 48.60/16.37 [b(f6)](x0) = x0, 48.60/16.37 48.60/16.37 [f6(b)](x0) = x0, 48.60/16.37 48.60/16.37 [c(c)](x0) = x0 + 1, 48.60/16.37 48.60/16.37 [c(b)](x0) = x0 + 1, 48.60/16.37 48.60/16.37 [c(a)](x0) = x0 + 1, 48.60/16.37 48.60/16.37 [a{#,(f6)}](x0) = x0, 48.60/16.37 48.60/16.37 [c(f6)](x0) = x0 + 1, 48.60/16.37 48.60/16.37 [f6(c)](x0) = x0, 48.60/16.37 48.60/16.37 [c{#,(f6)}](x0) = x0 48.60/16.37 orientation: 48.60/16.37 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(f6)(x1))) 48.60/16.37 48.60/16.37 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(x1))) 48.60/16.37 48.60/16.37 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(b)(x1))) 48.60/16.37 48.60/16.37 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(c)(x1))) 48.60/16.37 48.60/16.37 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = c{#,(f6)}(f6(a)(x1)) 48.60/16.37 48.60/16.37 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(b)(x1)) 48.60/16.37 48.60/16.37 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(x1)) 48.60/16.37 48.60/16.37 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 48.60/16.37 48.60/16.37 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 48.60/16.37 48.60/16.37 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 48.60/16.37 48.60/16.37 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 48.60/16.37 48.60/16.37 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 48.60/16.37 48.60/16.37 f6(a)(a(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 48.60/16.37 48.60/16.37 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 48.60/16.37 48.60/16.37 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 48.60/16.37 48.60/16.37 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 48.60/16.37 48.60/16.37 a(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 48.60/16.37 48.60/16.37 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 48.60/16.37 48.60/16.37 b(a)(a(f6)(x1)) = x1 >= x1 = b(f6)(x1) 48.60/16.37 48.60/16.37 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 48.60/16.37 48.60/16.37 b(a)(a(b)(x1)) = x1 + 1 >= x1 = b(b)(x1) 48.60/16.37 48.60/16.37 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 48.60/16.37 48.60/16.37 c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 48.60/16.37 48.60/16.37 c(a)(a(b)(x1)) = x1 + 2 >= x1 + 1 = c(b)(x1) 48.60/16.37 48.60/16.37 c(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 48.60/16.37 48.60/16.37 f6(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(a)(x1)) 48.60/16.37 48.60/16.37 f6(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(b)(x1)) 48.60/16.37 48.60/16.37 f6(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(c)(x1)) 48.60/16.37 48.60/16.37 a(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(a)(x1)) 48.60/16.37 48.60/16.37 a(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(x1)) 48.60/16.37 48.60/16.37 a(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(c)(x1)) 48.60/16.37 48.60/16.37 b(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(a)(x1)) 48.60/16.37 48.60/16.37 b(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(x1)) 48.60/16.37 48.60/16.37 b(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(c)(x1)) 48.60/16.37 48.60/16.37 c(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(a)(x1)) 48.60/16.37 48.60/16.37 c(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(b)(x1)) 48.60/16.37 48.60/16.37 c(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(c)(x1)) 48.60/16.37 48.60/16.37 f6(b)(b(a)(x1)) = x1 >= x1 = f6(a)(x1) 48.60/16.37 48.60/16.37 f6(b)(b(b)(x1)) = x1 >= x1 = f6(b)(x1) 48.60/16.37 48.60/16.37 f6(b)(b(c)(x1)) = x1 >= x1 = f6(c)(x1) 48.60/16.37 48.60/16.37 a(b)(b(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1) 48.60/16.37 48.60/16.37 a(b)(b(a)(x1)) = x1 + 1 >= x1 = a(a)(x1) 48.60/16.37 48.60/16.37 a(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 48.60/16.37 48.60/16.37 a(b)(b(c)(x1)) = x1 + 1 >= x1 = a(c)(x1) 51.09/18.83 51.09/18.83 b(b)(b(f6)(x1)) = x1 >= x1 = b(f6)(x1) 51.09/18.83 51.09/18.83 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 51.09/18.83 51.09/18.83 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 51.09/18.83 51.09/18.83 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 51.09/18.83 51.09/18.83 c(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 51.09/18.83 51.09/18.83 c(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 51.09/18.83 51.09/18.83 c(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 51.09/18.83 51.09/18.83 f6(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 51.09/18.83 51.09/18.83 f6(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 51.09/18.83 51.09/18.83 f6(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 51.09/18.83 51.09/18.83 f6(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 51.09/18.83 51.09/18.83 a(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 51.09/18.83 51.09/18.83 a(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 51.09/18.83 51.09/18.83 a(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 51.09/18.83 51.09/18.83 a(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 51.09/18.83 51.09/18.83 b(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 51.09/18.83 51.09/18.83 b(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 51.09/18.83 51.09/18.83 b(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 51.09/18.83 51.09/18.83 b(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 51.09/18.83 51.09/18.83 c(c)(c(c)(c(f6)(x1))) = x1 + 3 >= x1 + 2 = c(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 51.09/18.83 51.09/18.83 c(c)(c(c)(c(a)(x1))) = x1 + 3 >= x1 + 2 = c(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 51.09/18.83 51.09/18.83 c(c)(c(c)(c(b)(x1))) = x1 + 3 >= x1 + 2 = c(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 51.09/18.83 51.09/18.83 c(c)(c(c)(c(c)(x1))) = x1 + 3 >= x1 + 2 = c(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 51.09/18.83 problem: 51.09/18.83 DPs: 51.09/18.83 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 51.09/18.83 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 51.09/18.83 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 51.09/18.83 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 51.09/18.83 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 51.09/18.83 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 51.09/18.83 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 51.09/18.83 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 51.09/18.83 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 51.09/18.83 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 51.09/18.83 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 51.09/18.83 TRS: 51.09/18.83 f6(a)(a(a)(x1)) -> f6(a)(x1) 51.09/18.83 f6(a)(a(c)(x1)) -> f6(c)(x1) 51.09/18.83 a(a)(a(f6)(x1)) -> a(f6)(x1) 51.09/18.83 a(a)(a(a)(x1)) -> a(a)(x1) 51.09/18.83 a(a)(a(b)(x1)) -> a(b)(x1) 51.09/18.83 a(a)(a(c)(x1)) -> a(c)(x1) 51.09/18.83 b(a)(a(f6)(x1)) -> b(f6)(x1) 51.09/18.83 b(a)(a(a)(x1)) -> b(a)(x1) 51.09/18.83 b(a)(a(c)(x1)) -> b(c)(x1) 51.09/18.83 c(a)(a(a)(x1)) -> c(a)(x1) 51.09/18.83 c(a)(a(c)(x1)) -> c(c)(x1) 51.09/18.83 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1)) 51.09/18.83 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1)) 51.09/18.83 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1)) 51.09/18.83 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1)) 51.09/18.83 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1)) 51.09/18.83 a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1)) 51.09/18.83 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1)) 51.09/18.83 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1)) 51.09/18.83 b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1)) 51.09/18.83 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1)) 51.09/18.83 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1)) 51.09/18.83 c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1)) 51.09/18.83 f6(b)(b(a)(x1)) -> f6(a)(x1) 51.09/18.83 f6(b)(b(b)(x1)) -> f6(b)(x1) 51.09/18.83 f6(b)(b(c)(x1)) -> f6(c)(x1) 51.09/18.83 a(b)(b(b)(x1)) -> a(b)(x1) 51.09/18.83 b(b)(b(f6)(x1)) -> b(f6)(x1) 51.09/18.85 b(b)(b(a)(x1)) -> b(a)(x1) 51.09/18.85 b(b)(b(b)(x1)) -> b(b)(x1) 51.09/18.85 b(b)(b(c)(x1)) -> b(c)(x1) 51.09/18.85 c(b)(b(a)(x1)) -> c(a)(x1) 51.09/18.85 c(b)(b(b)(x1)) -> c(b)(x1) 51.09/18.85 c(b)(b(c)(x1)) -> c(c)(x1) 51.09/18.85 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 51.09/18.85 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 51.09/18.85 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 51.09/18.85 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 51.09/18.85 Polynomial Interpretation Processor: 51.09/18.85 dimension: 1 51.09/18.85 interpretation: 51.09/18.85 [a(b)](x0) = x0, 51.09/18.85 51.09/18.85 [a(a)](x0) = x0, 51.09/18.85 51.09/18.85 [a(f6)](x0) = x0, 51.09/18.85 51.09/18.85 [a(c)](x0) = x0, 51.09/18.85 51.09/18.85 [b(c)](x0) = x0 + 1, 51.09/18.85 51.09/18.85 [b(b)](x0) = x0, 51.09/18.85 51.09/18.85 [f6(a)](x0) = x0 + 1, 51.09/18.85 51.09/18.85 [b(a)](x0) = x0 + 1, 51.09/18.85 51.09/18.85 [b(f6)](x0) = x0, 51.09/18.85 51.09/18.85 [f6(b)](x0) = x0, 51.09/18.85 51.09/18.85 [c(c)](x0) = x0 + 1, 51.09/18.85 51.09/18.85 [c(b)](x0) = x0, 51.09/18.85 51.09/18.85 [c(a)](x0) = x0 + 1, 51.09/18.85 51.09/18.85 [a{#,(f6)}](x0) = x0, 51.09/18.85 51.09/18.85 [c(f6)](x0) = x0, 51.09/18.85 51.09/18.85 [f6(c)](x0) = x0 + 1, 51.09/18.85 51.09/18.85 [c{#,(f6)}](x0) = x0 51.09/18.85 orientation: 51.09/18.85 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(f6)(x1))) 51.09/18.85 51.09/18.85 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(a)(x1))) 51.09/18.85 51.09/18.85 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(b)(x1))) 51.09/18.85 51.09/18.85 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(c)(x1))) 51.09/18.85 51.09/18.85 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(a)(x1)) 51.09/18.85 51.09/18.85 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(b)(x1)) 51.09/18.85 51.09/18.85 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(x1)) 51.09/18.85 51.09/18.85 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 51.09/18.85 51.09/18.85 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 51.09/18.85 51.09/18.85 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 51.09/18.85 51.09/18.85 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 51.09/18.85 51.09/18.85 f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 51.09/18.85 51.09/18.85 f6(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1) 51.09/18.85 51.09/18.85 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 51.09/18.85 51.09/18.85 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 51.09/18.85 51.09/18.85 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 51.09/18.85 51.09/18.85 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 51.09/18.85 51.09/18.85 b(a)(a(f6)(x1)) = x1 + 1 >= x1 = b(f6)(x1) 51.09/18.85 51.09/18.85 b(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 51.09/18.85 51.09/18.85 b(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 51.09/18.85 51.09/18.85 c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 51.09/18.85 51.09/18.85 c(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 51.09/18.85 51.09/18.85 f6(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(a)(x1)) 51.09/18.85 51.09/18.85 f6(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(b)(x1)) 51.09/18.85 51.09/18.85 f6(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(c)(x1)) 51.09/18.85 51.09/18.85 a(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(a)(x1)) 51.09/18.85 51.09/18.85 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(x1)) 51.09/18.85 51.09/18.85 a(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(c)(x1)) 51.09/18.85 51.09/18.85 b(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = b(c)(c(a)(x1)) 51.09/18.85 51.09/18.85 b(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(x1)) 51.09/18.85 51.09/18.85 b(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = b(c)(c(c)(x1)) 51.09/18.85 51.09/18.85 c(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(a)(x1)) 51.09/18.85 51.09/18.85 c(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c(c)(c(b)(x1)) 51.09/18.85 51.09/18.85 c(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(c)(x1)) 51.70/19.47 51.70/19.47 f6(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 51.70/19.47 51.70/19.47 f6(b)(b(b)(x1)) = x1 >= x1 = f6(b)(x1) 51.70/19.47 51.70/19.47 f6(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1) 51.70/19.47 51.70/19.47 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 51.70/19.47 51.70/19.47 b(b)(b(f6)(x1)) = x1 >= x1 = b(f6)(x1) 51.70/19.47 51.70/19.47 b(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 51.70/19.47 51.70/19.47 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 51.70/19.47 51.70/19.47 b(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 51.70/19.47 51.70/19.47 c(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 51.70/19.47 51.70/19.47 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 51.70/19.47 51.70/19.47 c(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 51.70/19.47 51.70/19.47 a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 51.70/19.47 51.70/19.47 a(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 51.70/19.47 51.70/19.47 a(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 51.70/19.47 51.70/19.47 a(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 51.70/19.47 problem: 51.70/19.47 DPs: 51.70/19.47 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 51.70/19.47 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 51.70/19.47 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 51.70/19.47 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 51.70/19.47 a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 51.70/19.47 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 51.70/19.47 a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 51.70/19.47 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 51.70/19.47 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 51.70/19.47 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 51.70/19.47 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 51.70/19.47 TRS: 51.70/19.47 f6(a)(a(a)(x1)) -> f6(a)(x1) 51.70/19.47 f6(a)(a(c)(x1)) -> f6(c)(x1) 51.70/19.47 a(a)(a(f6)(x1)) -> a(f6)(x1) 51.70/19.47 a(a)(a(a)(x1)) -> a(a)(x1) 51.70/19.47 a(a)(a(b)(x1)) -> a(b)(x1) 51.70/19.47 a(a)(a(c)(x1)) -> a(c)(x1) 51.70/19.47 b(a)(a(a)(x1)) -> b(a)(x1) 51.70/19.47 b(a)(a(c)(x1)) -> b(c)(x1) 51.70/19.47 c(a)(a(a)(x1)) -> c(a)(x1) 51.70/19.47 c(a)(a(c)(x1)) -> c(c)(x1) 51.70/19.47 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1)) 51.70/19.47 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1)) 51.70/19.47 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1)) 51.70/19.47 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1)) 51.70/19.47 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1)) 51.70/19.47 a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1)) 51.70/19.47 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1)) 51.70/19.47 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1)) 51.70/19.47 b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1)) 51.70/19.47 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1)) 51.70/19.47 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1)) 51.70/19.47 c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1)) 51.70/19.47 f6(b)(b(a)(x1)) -> f6(a)(x1) 51.70/19.47 f6(b)(b(b)(x1)) -> f6(b)(x1) 51.70/19.47 f6(b)(b(c)(x1)) -> f6(c)(x1) 51.70/19.47 a(b)(b(b)(x1)) -> a(b)(x1) 51.70/19.47 b(b)(b(f6)(x1)) -> b(f6)(x1) 51.70/19.47 b(b)(b(a)(x1)) -> b(a)(x1) 51.70/19.47 b(b)(b(b)(x1)) -> b(b)(x1) 51.70/19.47 b(b)(b(c)(x1)) -> b(c)(x1) 51.70/19.47 c(b)(b(a)(x1)) -> c(a)(x1) 51.70/19.47 c(b)(b(b)(x1)) -> c(b)(x1) 51.70/19.47 c(b)(b(c)(x1)) -> c(c)(x1) 51.70/19.47 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 51.70/19.47 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 51.70/19.47 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 51.70/19.47 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 51.70/19.47 Polynomial Interpretation Processor: 51.70/19.47 dimension: 1 51.70/19.47 interpretation: 51.70/19.47 [a(b)](x0) = x0, 51.70/19.47 51.70/19.47 [a(a)](x0) = x0, 51.70/19.47 51.70/19.47 [a(f6)](x0) = x0, 51.70/19.47 51.70/19.47 [a(c)](x0) = x0, 51.70/19.47 51.70/19.47 [b(c)](x0) = x0 + 1, 51.70/19.47 51.70/19.47 [b(b)](x0) = x0, 51.70/19.47 51.70/19.47 [f6(a)](x0) = x0, 52.00/19.79 52.00/19.79 [b(a)](x0) = x0 + 1, 52.00/19.79 52.00/19.79 [b(f6)](x0) = x0, 52.00/19.79 52.00/19.79 [f6(b)](x0) = x0, 52.00/19.79 52.00/19.79 [c(c)](x0) = x0 + 1, 52.00/19.79 52.00/19.79 [c(b)](x0) = x0, 52.00/19.79 52.00/19.79 [c(a)](x0) = x0 + 1, 52.00/19.79 52.00/19.79 [a{#,(f6)}](x0) = x0, 52.00/19.79 52.00/19.79 [c(f6)](x0) = x0, 52.00/19.79 52.00/19.79 [f6(c)](x0) = x0, 52.00/19.79 52.00/19.79 [c{#,(f6)}](x0) = x0 52.00/19.79 orientation: 52.00/19.79 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(f6)(x1))) 52.00/19.79 52.00/19.79 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(x1))) 52.00/19.79 52.00/19.79 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(b)(x1))) 52.00/19.79 52.00/19.79 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(c)(x1))) 52.00/19.79 52.00/19.79 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(a)(x1)) 52.00/19.79 52.00/19.79 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(b)(x1)) 52.00/19.79 52.00/19.79 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(c)(x1)) 52.00/19.79 52.00/19.79 c{#,(f6)}(f6(c)(c(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 52.00/19.79 52.00/19.79 c{#,(f6)}(f6(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 52.00/19.79 52.00/19.79 c{#,(f6)}(f6(c)(c(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 52.00/19.79 52.00/19.79 c{#,(f6)}(f6(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 52.00/19.79 52.00/19.79 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 52.00/19.79 52.00/19.79 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 52.00/19.79 52.00/19.79 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 52.00/19.79 52.00/19.79 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 52.00/19.79 52.00/19.79 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 52.00/19.79 52.00/19.79 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 52.00/19.79 52.00/19.79 b(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 52.00/19.79 52.00/19.79 b(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 52.00/19.79 52.00/19.79 c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 52.00/19.79 52.00/19.79 c(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 52.00/19.79 52.00/19.79 f6(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(a)(x1)) 52.00/19.79 52.00/19.79 f6(a)(a(b)(b(b)(x1))) = x1 >= x1 = f6(c)(c(b)(x1)) 52.00/19.79 52.00/19.79 f6(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(c)(x1)) 52.00/19.79 52.00/19.79 a(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(a)(x1)) 52.00/19.79 52.00/19.79 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(x1)) 52.00/19.79 52.00/19.79 a(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(c)(x1)) 52.00/19.79 52.00/19.79 b(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = b(c)(c(a)(x1)) 52.00/19.79 52.00/19.79 b(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(x1)) 52.00/19.79 52.00/19.79 b(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = b(c)(c(c)(x1)) 52.00/19.79 52.00/19.79 c(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(a)(x1)) 52.00/19.79 52.00/19.79 c(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c(c)(c(b)(x1)) 52.00/19.79 52.00/19.79 c(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(c)(x1)) 52.00/19.79 52.00/19.79 f6(b)(b(a)(x1)) = x1 + 1 >= x1 = f6(a)(x1) 52.00/19.79 52.00/19.79 f6(b)(b(b)(x1)) = x1 >= x1 = f6(b)(x1) 52.00/19.79 52.00/19.79 f6(b)(b(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1) 52.00/19.79 52.00/19.79 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 52.00/19.79 52.00/19.79 b(b)(b(f6)(x1)) = x1 >= x1 = b(f6)(x1) 52.00/19.79 52.00/19.79 b(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 52.00/19.79 52.00/19.79 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 52.00/19.79 52.00/19.79 b(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 52.00/19.79 52.00/19.79 c(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 52.00/19.79 52.00/19.79 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 52.00/19.79 52.00/19.79 c(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 52.00/19.79 52.00/19.79 a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 52.00/19.79 52.00/19.79 a(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 52.30/20.10 52.30/20.10 a(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 52.30/20.10 52.30/20.10 a(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 52.30/20.10 problem: 52.30/20.10 DPs: 52.30/20.10 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 52.30/20.10 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 52.30/20.10 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 52.30/20.10 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 52.30/20.10 a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 52.30/20.10 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 52.30/20.10 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 52.30/20.10 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 52.30/20.10 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 52.30/20.10 TRS: 52.30/20.10 f6(a)(a(a)(x1)) -> f6(a)(x1) 52.30/20.10 f6(a)(a(c)(x1)) -> f6(c)(x1) 52.30/20.10 a(a)(a(f6)(x1)) -> a(f6)(x1) 52.30/20.10 a(a)(a(a)(x1)) -> a(a)(x1) 52.30/20.10 a(a)(a(b)(x1)) -> a(b)(x1) 52.30/20.10 a(a)(a(c)(x1)) -> a(c)(x1) 52.30/20.10 b(a)(a(a)(x1)) -> b(a)(x1) 52.30/20.10 b(a)(a(c)(x1)) -> b(c)(x1) 52.30/20.10 c(a)(a(a)(x1)) -> c(a)(x1) 52.30/20.10 c(a)(a(c)(x1)) -> c(c)(x1) 52.30/20.10 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1)) 52.30/20.10 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1)) 52.30/20.10 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1)) 52.30/20.10 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1)) 52.30/20.10 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1)) 52.30/20.10 a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1)) 52.30/20.10 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1)) 52.30/20.10 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1)) 52.30/20.10 b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1)) 52.30/20.10 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1)) 52.30/20.10 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1)) 52.30/20.10 c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1)) 52.30/20.10 f6(b)(b(b)(x1)) -> f6(b)(x1) 52.30/20.10 a(b)(b(b)(x1)) -> a(b)(x1) 52.30/20.10 b(b)(b(f6)(x1)) -> b(f6)(x1) 52.30/20.10 b(b)(b(a)(x1)) -> b(a)(x1) 52.30/20.10 b(b)(b(b)(x1)) -> b(b)(x1) 52.30/20.10 b(b)(b(c)(x1)) -> b(c)(x1) 52.30/20.10 c(b)(b(a)(x1)) -> c(a)(x1) 52.30/20.10 c(b)(b(b)(x1)) -> c(b)(x1) 52.30/20.10 c(b)(b(c)(x1)) -> c(c)(x1) 52.30/20.10 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 52.30/20.10 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 52.30/20.10 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 52.30/20.10 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 52.30/20.10 Polynomial Interpretation Processor: 52.30/20.10 dimension: 1 52.30/20.10 usable rules: 52.30/20.10 f6(b)(b(b)(x1)) -> f6(b)(x1) 52.30/20.10 interpretation: 52.30/20.10 [a(b)](x0) = 1, 52.30/20.10 52.30/20.10 [a(a)](x0) = 0, 52.30/20.10 52.30/20.10 [a(f6)](x0) = 0, 52.30/20.10 52.30/20.10 [a(c)](x0) = 0, 52.30/20.10 52.30/20.10 [b(c)](x0) = 0, 52.30/20.10 52.30/20.10 [b(b)](x0) = 1, 52.30/20.10 52.30/20.10 [f6(a)](x0) = 0, 52.30/20.10 52.30/20.10 [b(a)](x0) = 1, 52.30/20.10 52.30/20.10 [b(f6)](x0) = 0, 52.30/20.10 52.30/20.10 [f6(b)](x0) = 0, 52.30/20.10 52.30/20.10 [c(c)](x0) = 0, 52.30/20.10 52.30/20.10 [c(b)](x0) = 0, 52.30/20.10 52.30/20.10 [c(a)](x0) = 0, 52.30/20.10 52.30/20.10 [a{#,(f6)}](x0) = 1, 52.30/20.10 52.30/20.10 [c(f6)](x0) = 0, 52.30/20.10 52.30/20.10 [f6(c)](x0) = 1, 52.30/20.10 52.30/20.10 [c{#,(f6)}](x0) = x0 52.30/20.10 orientation: 52.30/20.10 c{#,(f6)}(f6(c)(c(f6)(x1))) = 1 >= 1 = a{#,(f6)}(f6(c)(c(f6)(x1))) 52.30/20.10 52.30/20.10 c{#,(f6)}(f6(c)(c(a)(x1))) = 1 >= 1 = a{#,(f6)}(f6(c)(c(a)(x1))) 52.30/20.10 52.30/20.10 c{#,(f6)}(f6(c)(c(b)(x1))) = 1 >= 1 = a{#,(f6)}(f6(c)(c(b)(x1))) 52.30/20.10 52.30/20.10 c{#,(f6)}(f6(c)(c(c)(x1))) = 1 >= 1 = a{#,(f6)}(f6(c)(c(c)(x1))) 52.30/20.10 52.30/20.10 a{#,(f6)}(f6(b)(b(b)(x1))) = 1 >= 0 = c{#,(f6)}(f6(b)(x1)) 52.30/20.10 52.30/20.10 c{#,(f6)}(f6(c)(c(f6)(x1))) = 1 >= 1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 52.99/20.73 52.99/20.73 c{#,(f6)}(f6(c)(c(a)(x1))) = 1 >= 1 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 52.99/20.73 52.99/20.73 c{#,(f6)}(f6(c)(c(b)(x1))) = 1 >= 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 52.99/20.73 52.99/20.73 c{#,(f6)}(f6(c)(c(c)(x1))) = 1 >= 1 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 52.99/20.73 52.99/20.73 f6(a)(a(a)(x1)) = 0 >= 0 = f6(a)(x1) 52.99/20.73 52.99/20.73 f6(a)(a(c)(x1)) = 0 >= 1 = f6(c)(x1) 52.99/20.73 52.99/20.73 a(a)(a(f6)(x1)) = 0 >= 0 = a(f6)(x1) 52.99/20.73 52.99/20.73 a(a)(a(a)(x1)) = 0 >= 0 = a(a)(x1) 52.99/20.73 52.99/20.73 a(a)(a(b)(x1)) = 0 >= 1 = a(b)(x1) 52.99/20.73 52.99/20.73 a(a)(a(c)(x1)) = 0 >= 0 = a(c)(x1) 52.99/20.73 52.99/20.73 b(a)(a(a)(x1)) = 1 >= 1 = b(a)(x1) 52.99/20.73 52.99/20.73 b(a)(a(c)(x1)) = 1 >= 0 = b(c)(x1) 52.99/20.73 52.99/20.73 c(a)(a(a)(x1)) = 0 >= 0 = c(a)(x1) 52.99/20.73 52.99/20.73 c(a)(a(c)(x1)) = 0 >= 0 = c(c)(x1) 52.99/20.73 52.99/20.73 f6(a)(a(b)(b(a)(x1))) = 0 >= 1 = f6(c)(c(a)(x1)) 52.99/20.73 52.99/20.73 f6(a)(a(b)(b(b)(x1))) = 0 >= 1 = f6(c)(c(b)(x1)) 52.99/20.73 52.99/20.73 f6(a)(a(b)(b(c)(x1))) = 0 >= 1 = f6(c)(c(c)(x1)) 52.99/20.73 52.99/20.73 a(a)(a(b)(b(a)(x1))) = 0 >= 0 = a(c)(c(a)(x1)) 52.99/20.73 52.99/20.73 a(a)(a(b)(b(b)(x1))) = 0 >= 0 = a(c)(c(b)(x1)) 52.99/20.73 52.99/20.73 a(a)(a(b)(b(c)(x1))) = 0 >= 0 = a(c)(c(c)(x1)) 52.99/20.73 52.99/20.73 b(a)(a(b)(b(a)(x1))) = 1 >= 0 = b(c)(c(a)(x1)) 52.99/20.73 52.99/20.73 b(a)(a(b)(b(b)(x1))) = 1 >= 0 = b(c)(c(b)(x1)) 52.99/20.73 52.99/20.73 b(a)(a(b)(b(c)(x1))) = 1 >= 0 = b(c)(c(c)(x1)) 52.99/20.73 52.99/20.73 c(a)(a(b)(b(a)(x1))) = 0 >= 0 = c(c)(c(a)(x1)) 52.99/20.73 52.99/20.73 c(a)(a(b)(b(b)(x1))) = 0 >= 0 = c(c)(c(b)(x1)) 52.99/20.73 52.99/20.73 c(a)(a(b)(b(c)(x1))) = 0 >= 0 = c(c)(c(c)(x1)) 52.99/20.73 52.99/20.73 f6(b)(b(b)(x1)) = 0 >= 0 = f6(b)(x1) 52.99/20.73 52.99/20.73 a(b)(b(b)(x1)) = 1 >= 1 = a(b)(x1) 52.99/20.73 52.99/20.73 b(b)(b(f6)(x1)) = 1 >= 0 = b(f6)(x1) 52.99/20.73 52.99/20.73 b(b)(b(a)(x1)) = 1 >= 1 = b(a)(x1) 52.99/20.73 52.99/20.73 b(b)(b(b)(x1)) = 1 >= 1 = b(b)(x1) 52.99/20.73 52.99/20.73 b(b)(b(c)(x1)) = 1 >= 0 = b(c)(x1) 52.99/20.73 52.99/20.73 c(b)(b(a)(x1)) = 0 >= 0 = c(a)(x1) 52.99/20.73 52.99/20.73 c(b)(b(b)(x1)) = 0 >= 0 = c(b)(x1) 52.99/20.73 52.99/20.73 c(b)(b(c)(x1)) = 0 >= 0 = c(c)(x1) 52.99/20.73 52.99/20.73 a(c)(c(c)(c(f6)(x1))) = 0 >= 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 52.99/20.73 52.99/20.73 a(c)(c(c)(c(a)(x1))) = 0 >= 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 52.99/20.73 52.99/20.73 a(c)(c(c)(c(b)(x1))) = 0 >= 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 52.99/20.73 52.99/20.73 a(c)(c(c)(c(c)(x1))) = 0 >= 1 = a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 52.99/20.73 problem: 52.99/20.73 DPs: 52.99/20.73 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 52.99/20.73 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 52.99/20.73 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 52.99/20.73 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 52.99/20.73 c{#,(f6)}(f6(c)(c(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 52.99/20.73 c{#,(f6)}(f6(c)(c(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 52.99/20.73 c{#,(f6)}(f6(c)(c(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 52.99/20.73 c{#,(f6)}(f6(c)(c(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 52.99/20.73 TRS: 52.99/20.73 f6(a)(a(a)(x1)) -> f6(a)(x1) 52.99/20.73 f6(a)(a(c)(x1)) -> f6(c)(x1) 52.99/20.73 a(a)(a(f6)(x1)) -> a(f6)(x1) 52.99/20.73 a(a)(a(a)(x1)) -> a(a)(x1) 52.99/20.73 a(a)(a(b)(x1)) -> a(b)(x1) 52.99/20.73 a(a)(a(c)(x1)) -> a(c)(x1) 52.99/20.73 b(a)(a(a)(x1)) -> b(a)(x1) 52.99/20.73 b(a)(a(c)(x1)) -> b(c)(x1) 52.99/20.73 c(a)(a(a)(x1)) -> c(a)(x1) 52.99/20.73 c(a)(a(c)(x1)) -> c(c)(x1) 52.99/20.73 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(x1)) 52.99/20.73 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(x1)) 52.99/20.73 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(c)(x1)) 52.99/20.73 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(x1)) 52.99/20.73 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(x1)) 52.99/20.73 a(a)(a(b)(b(c)(x1))) -> a(c)(c(c)(x1)) 52.99/20.73 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(x1)) 52.99/20.73 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(x1)) 52.99/20.73 b(a)(a(b)(b(c)(x1))) -> b(c)(c(c)(x1)) 52.99/20.73 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(x1)) 52.99/20.73 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(x1)) 52.99/20.73 c(a)(a(b)(b(c)(x1))) -> c(c)(c(c)(x1)) 52.99/20.73 f6(b)(b(b)(x1)) -> f6(b)(x1) 52.99/20.73 a(b)(b(b)(x1)) -> a(b)(x1) 52.99/20.73 b(b)(b(f6)(x1)) -> b(f6)(x1) 52.99/20.73 b(b)(b(a)(x1)) -> b(a)(x1) 52.99/20.73 b(b)(b(b)(x1)) -> b(b)(x1) 52.99/20.73 b(b)(b(c)(x1)) -> b(c)(x1) 52.99/20.73 c(b)(b(a)(x1)) -> c(a)(x1) 52.99/20.73 c(b)(b(b)(x1)) -> c(b)(x1) 52.99/20.73 c(b)(b(c)(x1)) -> c(c)(x1) 52.99/20.73 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 52.99/20.73 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 52.99/20.73 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 52.99/20.73 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 52.99/20.73 SCC Processor: 52.99/20.73 #sccs: 0 52.99/20.73 #rules: 0 52.99/20.73 #arcs: 64/64 52.99/20.73 52.99/20.73 EOF