41.08/10.72 YES 41.16/10.72 41.16/10.72 Problem: 41.16/10.72 a(x1) -> x1 41.16/10.72 a(a(x1)) -> b(c(x1)) 41.16/10.72 b(x1) -> x1 41.16/10.72 c(x1) -> x1 41.16/10.72 c(b(x1)) -> a(b(c(x1))) 41.16/10.72 41.16/10.72 Proof: 41.16/10.72 DP Processor: 41.16/10.72 DPs: 41.16/10.72 a#(a(x1)) -> c#(x1) 41.16/10.72 a#(a(x1)) -> b#(c(x1)) 41.16/10.72 c#(b(x1)) -> c#(x1) 41.16/10.72 c#(b(x1)) -> b#(c(x1)) 41.16/10.72 c#(b(x1)) -> a#(b(c(x1))) 41.16/10.72 TRS: 41.16/10.72 a(x1) -> x1 41.16/10.72 a(a(x1)) -> b(c(x1)) 41.16/10.72 b(x1) -> x1 41.16/10.72 c(x1) -> x1 41.16/10.72 c(b(x1)) -> a(b(c(x1))) 41.16/10.72 TDG Processor: 41.16/10.72 DPs: 41.16/10.72 a#(a(x1)) -> c#(x1) 41.16/10.72 a#(a(x1)) -> b#(c(x1)) 41.16/10.72 c#(b(x1)) -> c#(x1) 41.16/10.72 c#(b(x1)) -> b#(c(x1)) 41.16/10.72 c#(b(x1)) -> a#(b(c(x1))) 41.16/10.72 TRS: 41.16/10.72 a(x1) -> x1 41.16/10.72 a(a(x1)) -> b(c(x1)) 41.16/10.72 b(x1) -> x1 41.16/10.72 c(x1) -> x1 41.16/10.72 c(b(x1)) -> a(b(c(x1))) 41.16/10.72 graph: 41.16/10.72 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(x1))) 41.16/10.72 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(x1)) 41.16/10.72 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 41.16/10.72 c#(b(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(c(x1)) 41.16/10.72 c#(b(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> c#(x1) 41.16/10.72 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(x1))) 41.16/10.72 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(x1)) 41.16/10.72 a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 41.16/10.72 SCC Processor: 41.16/10.72 #sccs: 1 41.16/10.72 #rules: 3 41.16/10.72 #arcs: 8/25 41.16/10.72 DPs: 41.16/10.72 c#(b(x1)) -> c#(x1) 41.16/10.72 c#(b(x1)) -> a#(b(c(x1))) 41.16/10.72 a#(a(x1)) -> c#(x1) 41.16/10.72 TRS: 41.16/10.72 a(x1) -> x1 41.16/10.72 a(a(x1)) -> b(c(x1)) 41.16/10.72 b(x1) -> x1 41.16/10.72 c(x1) -> x1 41.16/10.72 c(b(x1)) -> a(b(c(x1))) 41.16/10.72 Root-Labeling Processor: 41.16/10.72 DPs: 41.16/10.72 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.72 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.72 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.72 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.72 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.72 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.72 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.72 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.72 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.72 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.72 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.72 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.72 TRS: 41.16/10.72 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 41.16/10.72 f6(a)(a(a)(x1)) -> f6(a)(x1) 41.16/10.72 f6(a)(a(b)(x1)) -> f6(b)(x1) 41.16/10.72 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.16/10.72 a(a)(a(f6)(x1)) -> a(f6)(x1) 41.16/10.72 a(a)(a(a)(x1)) -> a(a)(x1) 41.16/10.72 a(a)(a(b)(x1)) -> a(b)(x1) 41.16/10.72 a(a)(a(c)(x1)) -> a(c)(x1) 41.16/10.72 b(a)(a(f6)(x1)) -> b(f6)(x1) 41.16/10.72 b(a)(a(a)(x1)) -> b(a)(x1) 41.16/10.72 b(a)(a(b)(x1)) -> b(b)(x1) 41.16/10.72 b(a)(a(c)(x1)) -> b(c)(x1) 41.16/10.72 c(a)(a(f6)(x1)) -> c(f6)(x1) 41.16/10.72 c(a)(a(a)(x1)) -> c(a)(x1) 41.16/10.72 c(a)(a(b)(x1)) -> c(b)(x1) 41.16/10.72 c(a)(a(c)(x1)) -> c(c)(x1) 41.16/10.72 f6(a)(a(a)(a(f6)(x1))) -> f6(b)(b(c)(c(f6)(x1))) 41.16/10.72 f6(a)(a(a)(a(a)(x1))) -> f6(b)(b(c)(c(a)(x1))) 41.16/10.72 f6(a)(a(a)(a(b)(x1))) -> f6(b)(b(c)(c(b)(x1))) 41.16/10.72 f6(a)(a(a)(a(c)(x1))) -> f6(b)(b(c)(c(c)(x1))) 41.16/10.72 a(a)(a(a)(a(f6)(x1))) -> a(b)(b(c)(c(f6)(x1))) 41.16/10.72 a(a)(a(a)(a(a)(x1))) -> a(b)(b(c)(c(a)(x1))) 41.16/10.72 a(a)(a(a)(a(b)(x1))) -> a(b)(b(c)(c(b)(x1))) 41.16/10.72 a(a)(a(a)(a(c)(x1))) -> a(b)(b(c)(c(c)(x1))) 41.16/10.72 b(a)(a(a)(a(f6)(x1))) -> b(b)(b(c)(c(f6)(x1))) 41.16/10.72 b(a)(a(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 41.16/10.72 b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 41.16/10.72 b(a)(a(a)(a(c)(x1))) -> b(b)(b(c)(c(c)(x1))) 41.16/10.72 c(a)(a(a)(a(f6)(x1))) -> c(b)(b(c)(c(f6)(x1))) 41.16/10.72 c(a)(a(a)(a(a)(x1))) -> c(b)(b(c)(c(a)(x1))) 41.16/10.72 c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1))) 41.16/10.72 c(a)(a(a)(a(c)(x1))) -> c(b)(b(c)(c(c)(x1))) 41.16/10.72 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 41.16/10.72 f6(b)(b(a)(x1)) -> f6(a)(x1) 41.16/10.72 f6(b)(b(b)(x1)) -> f6(b)(x1) 41.16/10.72 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.16/10.72 a(b)(b(f6)(x1)) -> a(f6)(x1) 41.16/10.72 a(b)(b(a)(x1)) -> a(a)(x1) 41.16/10.72 a(b)(b(b)(x1)) -> a(b)(x1) 41.16/10.72 a(b)(b(c)(x1)) -> a(c)(x1) 41.16/10.72 b(b)(b(f6)(x1)) -> b(f6)(x1) 41.16/10.72 b(b)(b(a)(x1)) -> b(a)(x1) 41.16/10.72 b(b)(b(b)(x1)) -> b(b)(x1) 41.16/10.72 b(b)(b(c)(x1)) -> b(c)(x1) 41.16/10.72 c(b)(b(f6)(x1)) -> c(f6)(x1) 41.16/10.72 c(b)(b(a)(x1)) -> c(a)(x1) 41.16/10.72 c(b)(b(b)(x1)) -> c(b)(x1) 41.16/10.72 c(b)(b(c)(x1)) -> c(c)(x1) 41.16/10.72 f6(c)(c(f6)(x1)) -> f6(f6)(x1) 41.16/10.72 f6(c)(c(a)(x1)) -> f6(a)(x1) 41.16/10.72 f6(c)(c(b)(x1)) -> f6(b)(x1) 41.16/10.73 f6(c)(c(c)(x1)) -> f6(c)(x1) 41.16/10.73 a(c)(c(f6)(x1)) -> a(f6)(x1) 41.16/10.73 a(c)(c(a)(x1)) -> a(a)(x1) 41.16/10.73 a(c)(c(b)(x1)) -> a(b)(x1) 41.16/10.73 a(c)(c(c)(x1)) -> a(c)(x1) 41.16/10.73 b(c)(c(f6)(x1)) -> b(f6)(x1) 41.16/10.73 b(c)(c(a)(x1)) -> b(a)(x1) 41.16/10.73 b(c)(c(b)(x1)) -> b(b)(x1) 41.16/10.73 b(c)(c(c)(x1)) -> b(c)(x1) 41.16/10.73 c(c)(c(f6)(x1)) -> c(f6)(x1) 41.16/10.73 c(c)(c(a)(x1)) -> c(a)(x1) 41.16/10.73 c(c)(c(b)(x1)) -> c(b)(x1) 41.16/10.73 c(c)(c(c)(x1)) -> c(c)(x1) 41.16/10.73 f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.73 f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.73 f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.73 f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.73 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.73 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.73 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.73 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.73 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.73 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.73 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.73 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.73 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.73 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.73 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.73 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.73 TDG Processor: 41.16/10.73 DPs: 41.16/10.73 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.73 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.73 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.73 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.73 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.73 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.73 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.73 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.73 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.73 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.73 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.73 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.73 TRS: 41.16/10.73 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 41.16/10.73 f6(a)(a(a)(x1)) -> f6(a)(x1) 41.16/10.73 f6(a)(a(b)(x1)) -> f6(b)(x1) 41.16/10.73 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.16/10.73 a(a)(a(f6)(x1)) -> a(f6)(x1) 41.16/10.73 a(a)(a(a)(x1)) -> a(a)(x1) 41.16/10.73 a(a)(a(b)(x1)) -> a(b)(x1) 41.16/10.73 a(a)(a(c)(x1)) -> a(c)(x1) 41.16/10.73 b(a)(a(f6)(x1)) -> b(f6)(x1) 41.16/10.73 b(a)(a(a)(x1)) -> b(a)(x1) 41.16/10.73 b(a)(a(b)(x1)) -> b(b)(x1) 41.16/10.73 b(a)(a(c)(x1)) -> b(c)(x1) 41.16/10.73 c(a)(a(f6)(x1)) -> c(f6)(x1) 41.16/10.73 c(a)(a(a)(x1)) -> c(a)(x1) 41.16/10.73 c(a)(a(b)(x1)) -> c(b)(x1) 41.16/10.73 c(a)(a(c)(x1)) -> c(c)(x1) 41.16/10.73 f6(a)(a(a)(a(f6)(x1))) -> f6(b)(b(c)(c(f6)(x1))) 41.16/10.73 f6(a)(a(a)(a(a)(x1))) -> f6(b)(b(c)(c(a)(x1))) 41.16/10.73 f6(a)(a(a)(a(b)(x1))) -> f6(b)(b(c)(c(b)(x1))) 41.16/10.73 f6(a)(a(a)(a(c)(x1))) -> f6(b)(b(c)(c(c)(x1))) 41.16/10.73 a(a)(a(a)(a(f6)(x1))) -> a(b)(b(c)(c(f6)(x1))) 41.16/10.73 a(a)(a(a)(a(a)(x1))) -> a(b)(b(c)(c(a)(x1))) 41.16/10.73 a(a)(a(a)(a(b)(x1))) -> a(b)(b(c)(c(b)(x1))) 41.16/10.73 a(a)(a(a)(a(c)(x1))) -> a(b)(b(c)(c(c)(x1))) 41.16/10.73 b(a)(a(a)(a(f6)(x1))) -> b(b)(b(c)(c(f6)(x1))) 41.16/10.73 b(a)(a(a)(a(a)(x1))) -> b(b)(b(c)(c(a)(x1))) 41.16/10.73 b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 41.16/10.73 b(a)(a(a)(a(c)(x1))) -> b(b)(b(c)(c(c)(x1))) 41.16/10.73 c(a)(a(a)(a(f6)(x1))) -> c(b)(b(c)(c(f6)(x1))) 41.16/10.73 c(a)(a(a)(a(a)(x1))) -> c(b)(b(c)(c(a)(x1))) 41.16/10.73 c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1))) 41.16/10.73 c(a)(a(a)(a(c)(x1))) -> c(b)(b(c)(c(c)(x1))) 41.16/10.73 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 41.16/10.73 f6(b)(b(a)(x1)) -> f6(a)(x1) 41.16/10.73 f6(b)(b(b)(x1)) -> f6(b)(x1) 41.16/10.73 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.16/10.73 a(b)(b(f6)(x1)) -> a(f6)(x1) 41.16/10.73 a(b)(b(a)(x1)) -> a(a)(x1) 41.16/10.73 a(b)(b(b)(x1)) -> a(b)(x1) 41.16/10.73 a(b)(b(c)(x1)) -> a(c)(x1) 41.16/10.73 b(b)(b(f6)(x1)) -> b(f6)(x1) 41.16/10.73 b(b)(b(a)(x1)) -> b(a)(x1) 41.16/10.73 b(b)(b(b)(x1)) -> b(b)(x1) 41.16/10.73 b(b)(b(c)(x1)) -> b(c)(x1) 41.16/10.73 c(b)(b(f6)(x1)) -> c(f6)(x1) 41.16/10.73 c(b)(b(a)(x1)) -> c(a)(x1) 41.16/10.73 c(b)(b(b)(x1)) -> c(b)(x1) 41.16/10.74 c(b)(b(c)(x1)) -> c(c)(x1) 41.16/10.74 f6(c)(c(f6)(x1)) -> f6(f6)(x1) 41.16/10.74 f6(c)(c(a)(x1)) -> f6(a)(x1) 41.16/10.74 f6(c)(c(b)(x1)) -> f6(b)(x1) 41.16/10.74 f6(c)(c(c)(x1)) -> f6(c)(x1) 41.16/10.74 a(c)(c(f6)(x1)) -> a(f6)(x1) 41.16/10.74 a(c)(c(a)(x1)) -> a(a)(x1) 41.16/10.74 a(c)(c(b)(x1)) -> a(b)(x1) 41.16/10.74 a(c)(c(c)(x1)) -> a(c)(x1) 41.16/10.74 b(c)(c(f6)(x1)) -> b(f6)(x1) 41.16/10.74 b(c)(c(a)(x1)) -> b(a)(x1) 41.16/10.74 b(c)(c(b)(x1)) -> b(b)(x1) 41.16/10.74 b(c)(c(c)(x1)) -> b(c)(x1) 41.16/10.74 c(c)(c(f6)(x1)) -> c(f6)(x1) 41.16/10.74 c(c)(c(a)(x1)) -> c(a)(x1) 41.16/10.74 c(c)(c(b)(x1)) -> c(b)(x1) 41.16/10.74 c(c)(c(c)(x1)) -> c(c)(x1) 41.16/10.74 f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.74 f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.74 f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.74 f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.74 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.74 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.74 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.74 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.74 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.74 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.74 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.74 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.74 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.74 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.74 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.74 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.74 graph: 41.16/10.74 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.74 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.74 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.74 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.74 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.74 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.74 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.74 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.74 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.74 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.74 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.75 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> 41.16/10.75 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) -> 41.16/10.75 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.75 Polynomial Interpretation Processor: 41.16/10.75 dimension: 1 41.16/10.75 interpretation: 41.16/10.75 [a(c)](x0) = x0, 41.16/10.75 41.16/10.75 [a(b)](x0) = x0, 41.16/10.75 41.16/10.75 [a(a)](x0) = x0 + 1, 41.16/10.75 41.16/10.75 [a(f6)](x0) = x0, 41.16/10.75 41.16/10.75 [c(c)](x0) = x0, 41.16/10.75 41.16/10.75 [c(b)](x0) = x0 + 1, 41.16/10.75 41.16/10.75 [c(a)](x0) = x0 + 1, 41.16/10.75 41.16/10.75 [c(f6)](x0) = x0 + 1, 41.16/10.75 41.16/10.75 [a{#,(f6)}](x0) = x0, 41.16/10.75 41.16/10.75 [f6(c)](x0) = x0, 41.16/10.75 41.16/10.75 [b(c)](x0) = x0, 41.16/10.75 41.16/10.75 [b(b)](x0) = x0 + 1, 41.16/10.75 41.16/10.75 [f6(a)](x0) = x0, 41.16/10.78 41.16/10.78 [b(a)](x0) = x0 + 1, 41.16/10.78 41.16/10.78 [f6(f6)](x0) = x0, 41.16/10.78 41.16/10.78 [b(f6)](x0) = x0 + 1, 41.16/10.78 41.16/10.78 [f6(b)](x0) = x0, 41.16/10.78 41.16/10.78 [c{#,(f6)}](x0) = x0 41.16/10.78 orientation: 41.16/10.78 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(f6)(x1)) 41.16/10.78 41.16/10.78 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(a)(x1)) 41.16/10.78 41.16/10.78 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(b)(x1)) 41.16/10.78 41.16/10.78 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(x1)) 41.16/10.78 41.16/10.78 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.78 41.16/10.78 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.78 41.16/10.78 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.78 41.16/10.78 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.78 41.16/10.78 a{#,(f6)}(f6(a)(a(f6)(x1))) = x1 >= x1 = c{#,(f6)}(f6(f6)(x1)) 41.16/10.78 41.16/10.78 a{#,(f6)}(f6(a)(a(a)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(a)(x1)) 41.16/10.78 41.16/10.78 a{#,(f6)}(f6(a)(a(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(b)(x1)) 41.16/10.78 41.16/10.78 a{#,(f6)}(f6(a)(a(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(x1)) 41.16/10.78 41.16/10.78 f6(a)(a(f6)(x1)) = x1 >= x1 = f6(f6)(x1) 41.16/10.78 41.16/10.78 f6(a)(a(a)(x1)) = x1 + 1 >= x1 = f6(a)(x1) 41.16/10.78 41.16/10.78 f6(a)(a(b)(x1)) = x1 >= x1 = f6(b)(x1) 41.16/10.78 41.16/10.78 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.16/10.78 41.16/10.78 a(a)(a(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1) 41.16/10.78 41.16/10.78 a(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = a(a)(x1) 41.16/10.78 41.16/10.78 a(a)(a(b)(x1)) = x1 + 1 >= x1 = a(b)(x1) 41.16/10.78 41.16/10.78 a(a)(a(c)(x1)) = x1 + 1 >= x1 = a(c)(x1) 41.16/10.78 41.16/10.78 b(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 41.16/10.78 41.16/10.78 b(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = b(a)(x1) 41.16/10.78 41.16/10.78 b(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1) 41.16/10.78 41.16/10.78 b(a)(a(c)(x1)) = x1 + 1 >= x1 = b(c)(x1) 41.16/10.78 41.16/10.78 c(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 41.16/10.78 41.16/10.78 c(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = c(a)(x1) 41.16/10.78 41.16/10.78 c(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 41.16/10.78 41.16/10.78 c(a)(a(c)(x1)) = x1 + 1 >= x1 = c(c)(x1) 41.16/10.78 41.16/10.78 f6(a)(a(a)(a(f6)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(c)(c(f6)(x1))) 41.16/10.78 41.16/10.78 f6(a)(a(a)(a(a)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(c)(c(a)(x1))) 41.16/10.78 41.16/10.78 f6(a)(a(a)(a(b)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(c)(c(b)(x1))) 41.16/10.78 41.16/10.78 f6(a)(a(a)(a(c)(x1))) = x1 + 1 >= x1 = f6(b)(b(c)(c(c)(x1))) 41.16/10.78 41.16/10.78 a(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 1 = a(b)(b(c)(c(f6)(x1))) 41.16/10.78 41.16/10.78 a(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 1 = a(b)(b(c)(c(a)(x1))) 41.16/10.78 41.16/10.78 a(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 1 = a(b)(b(c)(c(b)(x1))) 41.16/10.78 41.16/10.78 a(a)(a(a)(a(c)(x1))) = x1 + 2 >= x1 = a(b)(b(c)(c(c)(x1))) 41.16/10.78 41.16/10.78 b(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(c)(c(f6)(x1))) 41.16/10.78 41.16/10.78 b(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 2 = b(b)(b(c)(c(a)(x1))) 41.16/10.78 41.16/10.78 b(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(c)(c(b)(x1))) 41.16/10.78 41.16/10.78 b(a)(a(a)(a(c)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(c)(c(c)(x1))) 41.16/10.78 41.16/10.78 c(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(c)(c(f6)(x1))) 41.16/10.78 41.16/10.78 c(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 2 = c(b)(b(c)(c(a)(x1))) 41.16/10.78 41.16/10.78 c(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(c)(c(b)(x1))) 41.16/10.78 41.16/10.78 c(a)(a(a)(a(c)(x1))) = x1 + 2 >= x1 + 1 = c(b)(b(c)(c(c)(x1))) 41.16/10.78 41.16/10.78 f6(b)(b(f6)(x1)) = x1 + 1 >= x1 = f6(f6)(x1) 41.16/10.78 41.16/10.78 f6(b)(b(a)(x1)) = x1 + 1 >= x1 = f6(a)(x1) 41.16/10.78 41.16/10.78 f6(b)(b(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 41.16/10.78 41.16/10.78 f6(b)(b(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.16/10.78 41.16/10.78 a(b)(b(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1) 41.16/10.78 41.16/10.78 a(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1) 41.16/10.78 41.16/10.78 a(b)(b(b)(x1)) = x1 + 1 >= x1 = a(b)(x1) 41.16/10.78 41.16/10.78 a(b)(b(c)(x1)) = x1 >= x1 = a(c)(x1) 41.16/10.78 41.16/10.78 b(b)(b(f6)(x1)) = x1 + 2 >= x1 + 1 = b(f6)(x1) 41.16/10.78 41.16/10.78 b(b)(b(a)(x1)) = x1 + 2 >= x1 + 1 = b(a)(x1) 41.16/10.78 41.16/10.78 b(b)(b(b)(x1)) = x1 + 2 >= x1 + 1 = b(b)(x1) 41.16/10.82 41.16/10.82 b(b)(b(c)(x1)) = x1 + 1 >= x1 = b(c)(x1) 41.16/10.82 41.16/10.82 c(b)(b(f6)(x1)) = x1 + 2 >= x1 + 1 = c(f6)(x1) 41.16/10.82 41.16/10.82 c(b)(b(a)(x1)) = x1 + 2 >= x1 + 1 = c(a)(x1) 41.16/10.82 41.16/10.82 c(b)(b(b)(x1)) = x1 + 2 >= x1 + 1 = c(b)(x1) 41.16/10.82 41.16/10.82 c(b)(b(c)(x1)) = x1 + 1 >= x1 = c(c)(x1) 41.16/10.82 41.16/10.82 f6(c)(c(f6)(x1)) = x1 + 1 >= x1 = f6(f6)(x1) 41.16/10.82 41.16/10.82 f6(c)(c(a)(x1)) = x1 + 1 >= x1 = f6(a)(x1) 41.16/10.82 41.16/10.82 f6(c)(c(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 41.16/10.82 41.16/10.82 f6(c)(c(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.16/10.82 41.16/10.82 a(c)(c(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1) 41.16/10.82 41.16/10.82 a(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1) 41.16/10.82 41.16/10.82 a(c)(c(b)(x1)) = x1 + 1 >= x1 = a(b)(x1) 41.16/10.82 41.16/10.82 a(c)(c(c)(x1)) = x1 >= x1 = a(c)(x1) 41.16/10.82 41.16/10.82 b(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 41.16/10.82 41.16/10.82 b(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 41.16/10.82 41.16/10.82 b(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1) 41.16/10.82 41.16/10.82 b(c)(c(c)(x1)) = x1 >= x1 = b(c)(x1) 41.16/10.82 41.16/10.82 c(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 41.16/10.82 41.16/10.82 c(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 41.16/10.82 41.16/10.82 c(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 41.16/10.82 41.16/10.82 c(c)(c(c)(x1)) = x1 >= x1 = c(c)(x1) 41.16/10.82 41.16/10.82 f6(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 1 = f6(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.82 41.16/10.82 f6(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 1 = f6(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.82 41.16/10.82 f6(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 1 = f6(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.82 41.16/10.82 f6(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 = f6(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.82 41.16/10.82 a(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.82 41.16/10.82 a(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.82 41.16/10.82 a(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.82 41.16/10.82 a(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.82 41.16/10.82 b(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.82 41.16/10.82 b(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.82 41.16/10.82 b(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.82 41.16/10.82 b(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.82 41.16/10.82 c(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = c(a)(a(b)(b(c)(c(f6)(x1)))) 41.16/10.82 41.16/10.82 c(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(a)(a(b)(b(c)(c(a)(x1)))) 41.16/10.82 41.16/10.82 c(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(a)(a(b)(b(c)(c(b)(x1)))) 41.16/10.82 41.16/10.82 c(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(c)(x1)))) 41.16/10.82 problem: 41.16/10.82 DPs: 41.16/10.82 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.82 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.16/10.82 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.16/10.82 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.16/10.82 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.16/10.82 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.16/10.82 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.16/10.82 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.16/10.82 TRS: 41.16/10.82 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 41.16/10.82 f6(a)(a(b)(x1)) -> f6(b)(x1) 41.16/10.82 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.16/10.82 b(a)(a(f6)(x1)) -> b(f6)(x1) 41.16/10.82 b(a)(a(b)(x1)) -> b(b)(x1) 41.16/10.82 c(a)(a(f6)(x1)) -> c(f6)(x1) 41.16/10.82 c(a)(a(b)(x1)) -> c(b)(x1) 41.16/10.82 f6(a)(a(a)(a(f6)(x1))) -> f6(b)(b(c)(c(f6)(x1))) 41.16/10.82 f6(a)(a(a)(a(b)(x1))) -> f6(b)(b(c)(c(b)(x1))) 41.16/10.82 b(a)(a(a)(a(f6)(x1))) -> b(b)(b(c)(c(f6)(x1))) 41.16/10.82 b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 41.16/10.82 c(a)(a(a)(a(f6)(x1))) -> c(b)(b(c)(c(f6)(x1))) 41.16/10.82 c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1))) 41.16/10.82 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.16/10.82 a(b)(b(a)(x1)) -> a(a)(x1) 41.16/10.82 a(b)(b(c)(x1)) -> a(c)(x1) 41.16/10.82 f6(c)(c(c)(x1)) -> f6(c)(x1) 41.16/10.82 a(c)(c(a)(x1)) -> a(a)(x1) 41.16/10.82 a(c)(c(c)(x1)) -> a(c)(x1) 41.16/10.82 b(c)(c(f6)(x1)) -> b(f6)(x1) 41.26/10.82 b(c)(c(a)(x1)) -> b(a)(x1) 41.26/10.82 b(c)(c(b)(x1)) -> b(b)(x1) 41.26/10.82 b(c)(c(c)(x1)) -> b(c)(x1) 41.26/10.82 c(c)(c(f6)(x1)) -> c(f6)(x1) 41.26/10.82 c(c)(c(a)(x1)) -> c(a)(x1) 41.26/10.82 c(c)(c(b)(x1)) -> c(b)(x1) 41.26/10.82 c(c)(c(c)(x1)) -> c(c)(x1) 41.26/10.82 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.82 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.82 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.82 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.82 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.82 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.82 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.82 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.82 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.82 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.82 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.82 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.82 Usable Rule Processor: 41.26/10.82 DPs: 41.26/10.82 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.26/10.82 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.26/10.82 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.26/10.82 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.26/10.82 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.26/10.82 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.26/10.82 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.26/10.82 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.26/10.82 TRS: 41.26/10.82 f6(c)(c(c)(x1)) -> f6(c)(x1) 41.26/10.82 b(c)(c(f6)(x1)) -> b(f6)(x1) 41.26/10.82 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.26/10.82 c(a)(a(f6)(x1)) -> c(f6)(x1) 41.26/10.82 c(a)(a(b)(x1)) -> c(b)(x1) 41.26/10.82 c(a)(a(a)(a(f6)(x1))) -> c(b)(b(c)(c(f6)(x1))) 41.26/10.82 c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1))) 41.26/10.82 b(c)(c(b)(x1)) -> b(b)(x1) 41.26/10.82 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.82 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.82 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.82 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.82 b(a)(a(f6)(x1)) -> b(f6)(x1) 41.26/10.82 b(a)(a(b)(x1)) -> b(b)(x1) 41.26/10.82 b(a)(a(a)(a(f6)(x1))) -> b(b)(b(c)(c(f6)(x1))) 41.26/10.82 b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 41.26/10.82 a(b)(b(a)(x1)) -> a(a)(x1) 41.26/10.82 a(b)(b(c)(x1)) -> a(c)(x1) 41.26/10.82 a(c)(c(a)(x1)) -> a(a)(x1) 41.26/10.82 a(c)(c(c)(x1)) -> a(c)(x1) 41.26/10.82 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.82 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.82 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.82 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.82 b(c)(c(a)(x1)) -> b(a)(x1) 41.26/10.82 b(c)(c(c)(x1)) -> b(c)(x1) 41.26/10.82 c(c)(c(f6)(x1)) -> c(f6)(x1) 41.26/10.82 c(c)(c(a)(x1)) -> c(a)(x1) 41.26/10.82 c(c)(c(b)(x1)) -> c(b)(x1) 41.26/10.82 c(c)(c(c)(x1)) -> c(c)(x1) 41.26/10.82 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.82 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.82 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.82 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.82 Polynomial Interpretation Processor: 41.26/10.82 dimension: 1 41.26/10.82 interpretation: 41.26/10.82 [a(c)](x0) = x0, 41.26/10.82 41.26/10.82 [a(b)](x0) = x0, 41.26/10.82 41.26/10.82 [a(a)](x0) = x0 + 1, 41.26/10.82 41.26/10.82 [a(f6)](x0) = x0, 41.26/10.82 41.26/10.82 [c(c)](x0) = x0, 41.26/10.82 41.26/10.82 [c(b)](x0) = x0 + 1, 41.26/10.82 41.26/10.82 [c(a)](x0) = x0 + 1, 41.26/10.82 41.26/10.82 [c(f6)](x0) = x0, 41.26/10.82 41.26/10.82 [a{#,(f6)}](x0) = x0, 41.26/10.82 41.26/10.82 [f6(c)](x0) = x0, 41.26/10.82 41.26/10.82 [b(c)](x0) = x0, 41.26/10.82 41.26/10.82 [b(b)](x0) = x0 + 1, 41.26/10.82 41.26/10.82 [f6(a)](x0) = x0, 41.26/10.82 41.26/10.82 [b(a)](x0) = x0 + 1, 41.26/10.82 41.26/10.82 [f6(f6)](x0) = x0, 41.26/10.82 41.26/10.82 [b(f6)](x0) = x0, 41.26/10.82 41.26/10.82 [f6(b)](x0) = x0, 41.26/10.82 41.26/10.82 [c{#,(f6)}](x0) = x0 41.26/10.82 orientation: 41.26/10.82 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(x1)) 41.26/10.86 41.26/10.86 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.26/10.86 41.26/10.86 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.26/10.86 41.26/10.86 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.26/10.86 41.26/10.86 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.26/10.86 41.26/10.86 a{#,(f6)}(f6(a)(a(f6)(x1))) = x1 >= x1 = c{#,(f6)}(f6(f6)(x1)) 41.26/10.86 41.26/10.86 a{#,(f6)}(f6(a)(a(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(b)(x1)) 41.26/10.86 41.26/10.86 a{#,(f6)}(f6(a)(a(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(x1)) 41.26/10.86 41.26/10.86 f6(c)(c(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.26/10.86 41.26/10.86 b(c)(c(f6)(x1)) = x1 >= x1 = b(f6)(x1) 41.26/10.86 41.26/10.86 f6(b)(b(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.26/10.86 41.26/10.86 c(a)(a(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1) 41.26/10.86 41.26/10.86 c(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 41.26/10.86 41.26/10.86 c(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 1 = c(b)(b(c)(c(f6)(x1))) 41.26/10.86 41.26/10.86 c(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(c)(c(b)(x1))) 41.26/10.86 41.26/10.86 b(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1) 41.26/10.86 41.26/10.86 b(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.86 41.26/10.86 b(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.86 41.26/10.86 b(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.86 41.26/10.86 b(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.86 41.26/10.86 b(a)(a(f6)(x1)) = x1 + 1 >= x1 = b(f6)(x1) 41.26/10.86 41.26/10.86 b(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1) 41.26/10.86 41.26/10.86 b(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(c)(c(f6)(x1))) 41.26/10.86 41.26/10.86 b(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(c)(c(b)(x1))) 41.26/10.86 41.26/10.86 a(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1) 41.26/10.86 41.26/10.86 a(b)(b(c)(x1)) = x1 >= x1 = a(c)(x1) 41.26/10.86 41.26/10.86 a(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1) 41.26/10.86 41.26/10.86 a(c)(c(c)(x1)) = x1 >= x1 = a(c)(x1) 41.26/10.86 41.26/10.86 a(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.86 41.26/10.86 a(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.86 41.26/10.86 a(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.86 41.26/10.86 a(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.86 41.26/10.86 b(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 41.26/10.86 41.26/10.86 b(c)(c(c)(x1)) = x1 >= x1 = b(c)(x1) 41.26/10.86 41.26/10.86 c(c)(c(f6)(x1)) = x1 >= x1 = c(f6)(x1) 41.26/10.86 41.26/10.86 c(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 41.26/10.86 41.26/10.86 c(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 41.26/10.86 41.26/10.86 c(c)(c(c)(x1)) = x1 >= x1 = c(c)(x1) 41.26/10.86 41.26/10.86 c(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.86 41.26/10.86 c(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.86 41.26/10.86 c(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.86 41.26/10.86 c(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.86 problem: 41.26/10.86 DPs: 41.26/10.86 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.26/10.86 c{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.26/10.86 c{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.26/10.86 c{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.26/10.86 c{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.26/10.86 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.26/10.86 a{#,(f6)}(f6(a)(a(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.26/10.86 a{#,(f6)}(f6(a)(a(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.26/10.86 TRS: 41.26/10.86 f6(c)(c(c)(x1)) -> f6(c)(x1) 41.26/10.86 b(c)(c(f6)(x1)) -> b(f6)(x1) 41.26/10.86 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.26/10.86 c(a)(a(b)(x1)) -> c(b)(x1) 41.26/10.86 c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1))) 41.26/10.86 b(c)(c(b)(x1)) -> b(b)(x1) 41.26/10.86 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.88 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.88 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.88 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.88 b(a)(a(b)(x1)) -> b(b)(x1) 41.26/10.88 b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 41.26/10.88 a(b)(b(a)(x1)) -> a(a)(x1) 41.26/10.88 a(b)(b(c)(x1)) -> a(c)(x1) 41.26/10.88 a(c)(c(a)(x1)) -> a(a)(x1) 41.26/10.88 a(c)(c(c)(x1)) -> a(c)(x1) 41.26/10.88 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.88 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.88 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.88 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.88 b(c)(c(a)(x1)) -> b(a)(x1) 41.26/10.88 b(c)(c(c)(x1)) -> b(c)(x1) 41.26/10.88 c(c)(c(f6)(x1)) -> c(f6)(x1) 41.26/10.88 c(c)(c(a)(x1)) -> c(a)(x1) 41.26/10.88 c(c)(c(b)(x1)) -> c(b)(x1) 41.26/10.88 c(c)(c(c)(x1)) -> c(c)(x1) 41.26/10.88 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.88 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.88 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.88 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.88 Polynomial Interpretation Processor: 41.26/10.88 dimension: 1 41.26/10.88 interpretation: 41.26/10.88 [a(c)](x0) = x0 + 1, 41.26/10.88 41.26/10.88 [a(b)](x0) = x0 + 1, 41.26/10.88 41.26/10.88 [a(a)](x0) = x0 + 1, 41.26/10.88 41.26/10.88 [a(f6)](x0) = x0, 41.26/10.88 41.26/10.88 [c(c)](x0) = x0, 41.26/10.88 41.26/10.88 [c(b)](x0) = x0 + 1, 41.26/10.88 41.26/10.88 [c(a)](x0) = x0, 41.26/10.88 41.26/10.88 [c(f6)](x0) = x0 + 1, 41.26/10.88 41.26/10.88 [a{#,(f6)}](x0) = x0, 41.26/10.88 41.26/10.88 [f6(c)](x0) = x0, 41.26/10.88 41.26/10.88 [b(c)](x0) = x0, 41.26/10.88 41.26/10.88 [b(b)](x0) = x0 + 1, 41.26/10.88 41.26/10.88 [f6(a)](x0) = x0 + 1, 41.26/10.88 41.26/10.88 [b(a)](x0) = x0, 41.26/10.88 41.26/10.88 [f6(f6)](x0) = x0, 41.26/10.88 41.26/10.88 [b(f6)](x0) = x0 + 1, 41.26/10.88 41.26/10.88 [f6(b)](x0) = x0, 41.26/10.88 41.26/10.88 [c{#,(f6)}](x0) = x0 + 1 41.26/10.88 orientation: 41.26/10.88 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(x1)) 41.26/10.88 41.26/10.88 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) 41.26/10.88 41.26/10.88 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) 41.26/10.88 41.26/10.88 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) 41.26/10.88 41.26/10.88 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) 41.26/10.88 41.26/10.88 a{#,(f6)}(f6(a)(a(f6)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(f6)(x1)) 41.26/10.88 41.26/10.88 a{#,(f6)}(f6(a)(a(b)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(b)(x1)) 41.26/10.88 41.26/10.88 a{#,(f6)}(f6(a)(a(c)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(c)(x1)) 41.26/10.88 41.26/10.88 f6(c)(c(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.26/10.88 41.26/10.88 b(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 41.26/10.88 41.26/10.88 f6(b)(b(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.26/10.88 41.26/10.88 c(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 41.26/10.88 41.26/10.88 c(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(c)(c(b)(x1))) 41.26/10.88 41.26/10.88 b(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1) 41.26/10.88 41.26/10.88 b(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(f6)(x1)))) 41.26/10.88 41.26/10.88 b(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(b)(b(c)(c(a)(x1)))) 41.26/10.88 41.26/10.88 b(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(b)(x1)))) 41.26/10.88 41.26/10.88 b(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(b)(b(c)(c(c)(x1)))) 41.26/10.88 41.26/10.88 b(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1) 41.26/10.88 41.26/10.88 b(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(c)(c(b)(x1))) 41.26/10.88 41.26/10.88 a(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1) 41.26/10.88 41.26/10.88 a(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = a(c)(x1) 41.26/10.88 41.26/10.88 a(c)(c(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1) 41.26/10.88 41.26/10.88 a(c)(c(c)(x1)) = x1 + 1 >= x1 + 1 = a(c)(x1) 41.26/10.88 41.26/10.88 a(c)(c(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = a(a)(a(b)(b(c)(c(f6)(x1)))) 41.33/10.90 41.33/10.90 a(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(a)(x1)))) 41.33/10.90 41.33/10.90 a(c)(c(b)(b(b)(x1))) = x1 + 3 >= x1 + 3 = a(a)(a(b)(b(c)(c(b)(x1)))) 41.33/10.90 41.33/10.90 a(c)(c(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(c)(x1)))) 41.33/10.90 41.33/10.90 b(c)(c(a)(x1)) = x1 >= x1 = b(a)(x1) 41.33/10.90 41.33/10.90 b(c)(c(c)(x1)) = x1 >= x1 = b(c)(x1) 41.33/10.90 41.33/10.90 c(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 41.33/10.90 41.33/10.90 c(c)(c(a)(x1)) = x1 >= x1 = c(a)(x1) 41.33/10.90 41.33/10.90 c(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 41.33/10.90 41.33/10.90 c(c)(c(c)(x1)) = x1 >= x1 = c(c)(x1) 41.33/10.90 41.33/10.90 c(c)(c(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = c(a)(a(b)(b(c)(c(f6)(x1)))) 41.33/10.90 41.33/10.90 c(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(a)(x1)))) 41.33/10.90 41.33/10.90 c(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(a)(a(b)(b(c)(c(b)(x1)))) 41.33/10.90 41.33/10.90 c(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(c)(x1)))) 41.33/10.90 problem: 41.33/10.90 DPs: 41.33/10.90 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.33/10.90 a{#,(f6)}(f6(a)(a(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.33/10.90 TRS: 41.33/10.90 f6(c)(c(c)(x1)) -> f6(c)(x1) 41.33/10.90 b(c)(c(f6)(x1)) -> b(f6)(x1) 41.33/10.90 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.33/10.90 c(a)(a(b)(x1)) -> c(b)(x1) 41.33/10.90 c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1))) 41.33/10.90 b(c)(c(b)(x1)) -> b(b)(x1) 41.33/10.90 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1)))) 41.33/10.90 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1)))) 41.33/10.90 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1)))) 41.33/10.90 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1)))) 41.33/10.90 b(a)(a(b)(x1)) -> b(b)(x1) 41.33/10.90 b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 41.33/10.90 a(b)(b(a)(x1)) -> a(a)(x1) 41.33/10.90 a(b)(b(c)(x1)) -> a(c)(x1) 41.33/10.90 a(c)(c(a)(x1)) -> a(a)(x1) 41.33/10.90 a(c)(c(c)(x1)) -> a(c)(x1) 41.33/10.90 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1)))) 41.33/10.90 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1)))) 41.33/10.90 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1)))) 41.33/10.90 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1)))) 41.33/10.90 b(c)(c(a)(x1)) -> b(a)(x1) 41.33/10.90 b(c)(c(c)(x1)) -> b(c)(x1) 41.33/10.90 c(c)(c(f6)(x1)) -> c(f6)(x1) 41.33/10.90 c(c)(c(a)(x1)) -> c(a)(x1) 41.33/10.90 c(c)(c(b)(x1)) -> c(b)(x1) 41.33/10.90 c(c)(c(c)(x1)) -> c(c)(x1) 41.33/10.90 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1)))) 41.33/10.90 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1)))) 41.33/10.90 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1)))) 41.33/10.90 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1)))) 41.33/10.90 SCC Processor: 41.33/10.90 #sccs: 1 41.33/10.90 #rules: 1 41.33/10.90 #arcs: 80/4 41.33/10.90 DPs: 41.33/10.90 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.33/10.90 TRS: 41.33/10.90 f6(c)(c(c)(x1)) -> f6(c)(x1) 41.33/10.90 b(c)(c(f6)(x1)) -> b(f6)(x1) 41.33/10.90 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.33/10.90 c(a)(a(b)(x1)) -> c(b)(x1) 41.33/10.90 c(a)(a(a)(a(b)(x1))) -> c(b)(b(c)(c(b)(x1))) 41.33/10.90 b(c)(c(b)(x1)) -> b(b)(x1) 41.33/10.90 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(f6)(x1)))) 41.33/10.90 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(a)(x1)))) 41.33/10.90 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(b)(x1)))) 41.33/10.90 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(x1)))) 41.33/10.90 b(a)(a(b)(x1)) -> b(b)(x1) 41.33/10.90 b(a)(a(a)(a(b)(x1))) -> b(b)(b(c)(c(b)(x1))) 41.33/10.90 a(b)(b(a)(x1)) -> a(a)(x1) 41.33/10.90 a(b)(b(c)(x1)) -> a(c)(x1) 41.33/10.90 a(c)(c(a)(x1)) -> a(a)(x1) 41.33/10.90 a(c)(c(c)(x1)) -> a(c)(x1) 41.33/10.90 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(f6)(x1)))) 41.33/10.90 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(a)(x1)))) 41.33/10.90 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(b)(x1)))) 41.33/10.90 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(x1)))) 41.33/10.90 b(c)(c(a)(x1)) -> b(a)(x1) 41.33/10.90 b(c)(c(c)(x1)) -> b(c)(x1) 41.33/10.90 c(c)(c(f6)(x1)) -> c(f6)(x1) 41.33/10.90 c(c)(c(a)(x1)) -> c(a)(x1) 41.33/10.90 c(c)(c(b)(x1)) -> c(b)(x1) 41.33/10.90 c(c)(c(c)(x1)) -> c(c)(x1) 41.33/10.90 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(f6)(x1)))) 41.33/10.90 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(a)(x1)))) 41.33/10.90 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(b)(x1)))) 41.33/10.90 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(x1)))) 41.33/10.90 Usable Rule Processor: 41.33/10.90 DPs: 41.33/10.90 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.33/10.90 TRS: 41.33/10.90 f6(c)(c(c)(x1)) -> f6(c)(x1) 41.33/10.90 Polynomial Interpretation Processor: 41.33/10.90 dimension: 1 41.33/10.90 interpretation: 41.33/10.90 [c(c)](x0) = x0, 41.33/10.90 41.33/10.90 [f6(c)](x0) = x0 + 1, 41.33/10.90 41.33/10.90 [b(c)](x0) = x0 + 1, 41.33/10.90 41.33/10.90 [f6(b)](x0) = x0 + 1, 41.33/10.90 41.33/10.90 [c{#,(f6)}](x0) = x0 41.33/10.90 orientation: 41.33/10.90 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(c)(x1)) 41.33/10.90 41.33/10.90 f6(c)(c(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1) 41.33/10.90 problem: 41.33/10.90 DPs: 41.33/10.90 41.33/10.90 TRS: 41.33/10.90 f6(c)(c(c)(x1)) -> f6(c)(x1) 41.33/10.90 Qed 41.33/10.91 EOF