41.04/10.77 YES 41.43/10.78 41.43/10.78 Problem: 41.43/10.78 a(x1) -> x1 41.43/10.78 a(a(x1)) -> b(x1) 41.43/10.78 b(c(x1)) -> x1 41.43/10.78 c(b(x1)) -> a(b(c(c(x1)))) 41.43/10.78 41.43/10.78 Proof: 41.43/10.78 DP Processor: 41.43/10.78 DPs: 41.43/10.78 a#(a(x1)) -> b#(x1) 41.43/10.78 c#(b(x1)) -> c#(x1) 41.43/10.78 c#(b(x1)) -> c#(c(x1)) 41.43/10.78 c#(b(x1)) -> b#(c(c(x1))) 41.43/10.78 c#(b(x1)) -> a#(b(c(c(x1)))) 41.43/10.78 TRS: 41.43/10.78 a(x1) -> x1 41.43/10.78 a(a(x1)) -> b(x1) 41.43/10.78 b(c(x1)) -> x1 41.43/10.78 c(b(x1)) -> a(b(c(c(x1)))) 41.43/10.78 TDG Processor: 41.43/10.78 DPs: 41.43/10.78 a#(a(x1)) -> b#(x1) 41.43/10.78 c#(b(x1)) -> c#(x1) 41.43/10.78 c#(b(x1)) -> c#(c(x1)) 41.43/10.78 c#(b(x1)) -> b#(c(c(x1))) 41.43/10.78 c#(b(x1)) -> a#(b(c(c(x1)))) 41.43/10.78 TRS: 41.43/10.78 a(x1) -> x1 41.43/10.78 a(a(x1)) -> b(x1) 41.43/10.78 b(c(x1)) -> x1 41.43/10.78 c(b(x1)) -> a(b(c(c(x1)))) 41.43/10.78 graph: 41.43/10.78 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(b(c(c(x1)))) 41.43/10.78 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> b#(c(c(x1))) 41.43/10.78 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(c(x1)) 41.43/10.78 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(x1) 41.43/10.78 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(c(x1)))) 41.43/10.78 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(c(x1))) 41.43/10.78 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(c(x1)) 41.43/10.78 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 41.43/10.78 c#(b(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> b#(x1) 41.43/10.78 SCC Processor: 41.43/10.78 #sccs: 1 41.43/10.78 #rules: 2 41.43/10.78 #arcs: 9/25 41.43/10.78 DPs: 41.43/10.78 c#(b(x1)) -> c#(c(x1)) 41.43/10.78 c#(b(x1)) -> c#(x1) 41.43/10.78 TRS: 41.43/10.78 a(x1) -> x1 41.43/10.78 a(a(x1)) -> b(x1) 41.43/10.78 b(c(x1)) -> x1 41.43/10.78 c(b(x1)) -> a(b(c(c(x1)))) 41.43/10.78 Root-Labeling Processor: 41.43/10.78 DPs: 41.43/10.78 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(c)(c(f6)(x1))) 41.43/10.78 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(c)(c(a)(x1))) 41.43/10.78 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(c)(c(b)(x1))) 41.43/10.78 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(c(c)(x1))) 41.43/10.78 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.43/10.78 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.43/10.78 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.43/10.78 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.43/10.78 TRS: 41.43/10.78 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 41.43/10.78 f6(a)(a(a)(x1)) -> f6(a)(x1) 41.43/10.78 f6(a)(a(b)(x1)) -> f6(b)(x1) 41.43/10.78 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.43/10.78 a(a)(a(f6)(x1)) -> a(f6)(x1) 41.43/10.78 a(a)(a(a)(x1)) -> a(a)(x1) 41.43/10.78 a(a)(a(b)(x1)) -> a(b)(x1) 41.43/10.78 a(a)(a(c)(x1)) -> a(c)(x1) 41.43/10.78 b(a)(a(f6)(x1)) -> b(f6)(x1) 41.43/10.78 b(a)(a(a)(x1)) -> b(a)(x1) 41.43/10.78 b(a)(a(b)(x1)) -> b(b)(x1) 41.43/10.78 b(a)(a(c)(x1)) -> b(c)(x1) 41.43/10.78 c(a)(a(f6)(x1)) -> c(f6)(x1) 41.43/10.78 c(a)(a(a)(x1)) -> c(a)(x1) 41.43/10.78 c(a)(a(b)(x1)) -> c(b)(x1) 41.43/10.78 c(a)(a(c)(x1)) -> c(c)(x1) 41.43/10.78 f6(a)(a(a)(a(f6)(x1))) -> f6(b)(b(f6)(x1)) 41.43/10.78 f6(a)(a(a)(a(a)(x1))) -> f6(b)(b(a)(x1)) 41.43/10.78 f6(a)(a(a)(a(b)(x1))) -> f6(b)(b(b)(x1)) 41.43/10.78 f6(a)(a(a)(a(c)(x1))) -> f6(b)(b(c)(x1)) 41.43/10.78 a(a)(a(a)(a(f6)(x1))) -> a(b)(b(f6)(x1)) 41.43/10.78 a(a)(a(a)(a(a)(x1))) -> a(b)(b(a)(x1)) 41.43/10.78 a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(x1)) 41.43/10.78 a(a)(a(a)(a(c)(x1))) -> a(b)(b(c)(x1)) 41.43/10.78 b(a)(a(a)(a(f6)(x1))) -> b(b)(b(f6)(x1)) 41.43/10.78 b(a)(a(a)(a(a)(x1))) -> b(b)(b(a)(x1)) 41.43/10.78 b(a)(a(a)(a(b)(x1))) -> b(b)(b(b)(x1)) 41.43/10.78 b(a)(a(a)(a(c)(x1))) -> b(b)(b(c)(x1)) 41.43/10.78 c(a)(a(a)(a(f6)(x1))) -> c(b)(b(f6)(x1)) 41.43/10.78 c(a)(a(a)(a(a)(x1))) -> c(b)(b(a)(x1)) 41.43/10.78 c(a)(a(a)(a(b)(x1))) -> c(b)(b(b)(x1)) 41.43/10.78 c(a)(a(a)(a(c)(x1))) -> c(b)(b(c)(x1)) 41.43/10.78 f6(b)(b(c)(c(f6)(x1))) -> f6(f6)(x1) 41.43/10.78 f6(b)(b(c)(c(a)(x1))) -> f6(a)(x1) 41.43/10.78 f6(b)(b(c)(c(b)(x1))) -> f6(b)(x1) 41.43/10.78 f6(b)(b(c)(c(c)(x1))) -> f6(c)(x1) 41.43/10.78 a(b)(b(c)(c(f6)(x1))) -> a(f6)(x1) 41.43/10.78 a(b)(b(c)(c(a)(x1))) -> a(a)(x1) 41.43/10.78 a(b)(b(c)(c(b)(x1))) -> a(b)(x1) 41.43/10.78 a(b)(b(c)(c(c)(x1))) -> a(c)(x1) 41.43/10.78 b(b)(b(c)(c(f6)(x1))) -> b(f6)(x1) 41.43/10.78 b(b)(b(c)(c(a)(x1))) -> b(a)(x1) 41.43/10.78 b(b)(b(c)(c(b)(x1))) -> b(b)(x1) 41.43/10.78 b(b)(b(c)(c(c)(x1))) -> b(c)(x1) 41.43/10.78 c(b)(b(c)(c(f6)(x1))) -> c(f6)(x1) 41.43/10.78 c(b)(b(c)(c(a)(x1))) -> c(a)(x1) 41.43/10.78 c(b)(b(c)(c(b)(x1))) -> c(b)(x1) 41.43/10.78 c(b)(b(c)(c(c)(x1))) -> c(c)(x1) 41.43/10.78 f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.43/10.78 f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.43/10.78 f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.43/10.78 f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.43/10.78 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.43/10.78 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.44/10.79 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.44/10.79 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.44/10.79 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.44/10.79 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.44/10.79 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.44/10.79 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.44/10.79 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.44/10.79 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.44/10.79 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.44/10.79 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.44/10.79 Polynomial Interpretation Processor: 41.44/10.79 dimension: 1 41.44/10.79 interpretation: 41.44/10.79 [a(c)](x0) = x0, 41.44/10.79 41.44/10.79 [a(b)](x0) = x0, 41.44/10.79 41.44/10.79 [a(a)](x0) = x0 + 1, 41.44/10.79 41.44/10.79 [a(f6)](x0) = x0, 41.44/10.79 41.44/10.79 [f6(a)](x0) = x0 + 1, 41.44/10.79 41.44/10.79 [f6(f6)](x0) = x0, 41.44/10.79 41.44/10.79 [c(c)](x0) = x0, 41.44/10.79 41.44/10.79 [b(c)](x0) = x0, 41.44/10.79 41.44/10.79 [c(b)](x0) = x0 + 1, 41.44/10.79 41.44/10.79 [b(b)](x0) = x0 + 1, 41.44/10.79 41.44/10.79 [c(a)](x0) = x0 + 1, 41.44/10.79 41.44/10.79 [b(a)](x0) = x0 + 1, 41.44/10.79 41.44/10.79 [c(f6)](x0) = x0, 41.44/10.79 41.44/10.79 [f6(c)](x0) = x0, 41.44/10.79 41.44/10.79 [b(f6)](x0) = x0, 41.44/10.79 41.44/10.79 [f6(b)](x0) = x0, 41.44/10.79 41.44/10.79 [c{#,(f6)}](x0) = x0 41.44/10.79 orientation: 41.44/10.79 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(c(f6)(x1))) 41.44/10.79 41.44/10.79 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(c(a)(x1))) 41.44/10.79 41.44/10.79 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(c(b)(x1))) 41.44/10.79 41.44/10.79 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(c(c)(x1))) 41.44/10.79 41.44/10.79 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 >= x1 = c{#,(f6)}(f6(f6)(x1)) 41.44/10.79 41.44/10.79 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(a)(x1)) 41.44/10.79 41.44/10.79 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(b)(x1)) 41.44/10.79 41.44/10.79 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(x1)) 41.44/10.79 41.44/10.79 f6(a)(a(f6)(x1)) = x1 + 1 >= x1 = f6(f6)(x1) 41.44/10.79 41.44/10.79 f6(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = f6(a)(x1) 41.44/10.79 41.44/10.79 f6(a)(a(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 41.44/10.79 41.44/10.79 f6(a)(a(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1) 41.44/10.79 41.44/10.79 a(a)(a(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1) 41.44/10.79 41.44/10.79 a(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = a(a)(x1) 41.44/10.79 41.44/10.79 a(a)(a(b)(x1)) = x1 + 1 >= x1 = a(b)(x1) 41.44/10.79 41.44/10.79 a(a)(a(c)(x1)) = x1 + 1 >= x1 = a(c)(x1) 41.44/10.79 41.44/10.79 b(a)(a(f6)(x1)) = x1 + 1 >= x1 = b(f6)(x1) 41.44/10.79 41.44/10.79 b(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = b(a)(x1) 41.44/10.79 41.44/10.79 b(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1) 41.44/10.79 41.44/10.79 b(a)(a(c)(x1)) = x1 + 1 >= x1 = b(c)(x1) 41.44/10.79 41.44/10.79 c(a)(a(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1) 41.44/10.79 41.44/10.79 c(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = c(a)(x1) 41.44/10.79 41.44/10.79 c(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 41.44/10.79 41.44/10.79 c(a)(a(c)(x1)) = x1 + 1 >= x1 = c(c)(x1) 41.44/10.79 41.44/10.79 f6(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 = f6(b)(b(f6)(x1)) 41.44/10.79 41.44/10.79 f6(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 1 = f6(b)(b(a)(x1)) 41.44/10.79 41.44/10.79 f6(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(b)(x1)) 41.44/10.79 41.44/10.79 f6(a)(a(a)(a(c)(x1))) = x1 + 2 >= x1 = f6(b)(b(c)(x1)) 41.44/10.79 41.44/10.79 a(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 = a(b)(b(f6)(x1)) 41.44/10.79 41.44/10.79 a(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 1 = a(b)(b(a)(x1)) 41.44/10.79 41.44/10.79 a(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 1 = a(b)(b(b)(x1)) 41.44/10.79 41.44/10.79 a(a)(a(a)(a(c)(x1))) = x1 + 2 >= x1 = a(b)(b(c)(x1)) 41.44/10.79 41.44/10.79 b(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(f6)(x1)) 41.44/10.79 41.44/10.79 b(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 2 = b(b)(b(a)(x1)) 41.44/10.79 41.44/10.79 b(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(b)(x1)) 41.44/10.79 41.44/10.79 b(a)(a(a)(a(c)(x1))) = x1 + 2 >= x1 + 1 = b(b)(b(c)(x1)) 41.44/10.79 41.44/10.79 c(a)(a(a)(a(f6)(x1))) = x1 + 2 >= x1 + 1 = c(b)(b(f6)(x1)) 41.44/10.79 41.44/10.79 c(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 2 = c(b)(b(a)(x1)) 41.44/10.79 41.44/10.79 c(a)(a(a)(a(b)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(b)(x1)) 41.44/10.79 41.44/10.79 c(a)(a(a)(a(c)(x1))) = x1 + 2 >= x1 + 1 = c(b)(b(c)(x1)) 41.64/11.02 41.64/11.02 f6(b)(b(c)(c(f6)(x1))) = x1 >= x1 = f6(f6)(x1) 41.64/11.02 41.64/11.02 f6(b)(b(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(x1) 41.64/11.02 41.64/11.02 f6(b)(b(c)(c(b)(x1))) = x1 + 1 >= x1 = f6(b)(x1) 41.64/11.02 41.64/11.02 f6(b)(b(c)(c(c)(x1))) = x1 >= x1 = f6(c)(x1) 41.64/11.02 41.64/11.02 a(b)(b(c)(c(f6)(x1))) = x1 >= x1 = a(f6)(x1) 41.64/11.02 41.64/11.02 a(b)(b(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = a(a)(x1) 41.64/11.02 41.64/11.02 a(b)(b(c)(c(b)(x1))) = x1 + 1 >= x1 = a(b)(x1) 41.64/11.02 41.64/11.02 a(b)(b(c)(c(c)(x1))) = x1 >= x1 = a(c)(x1) 41.64/11.02 41.64/11.02 b(b)(b(c)(c(f6)(x1))) = x1 + 1 >= x1 = b(f6)(x1) 41.64/11.02 41.64/11.02 b(b)(b(c)(c(a)(x1))) = x1 + 2 >= x1 + 1 = b(a)(x1) 41.64/11.02 41.64/11.02 b(b)(b(c)(c(b)(x1))) = x1 + 2 >= x1 + 1 = b(b)(x1) 41.64/11.02 41.64/11.02 b(b)(b(c)(c(c)(x1))) = x1 + 1 >= x1 = b(c)(x1) 41.64/11.02 41.64/11.02 c(b)(b(c)(c(f6)(x1))) = x1 + 1 >= x1 = c(f6)(x1) 41.64/11.02 41.64/11.02 c(b)(b(c)(c(a)(x1))) = x1 + 2 >= x1 + 1 = c(a)(x1) 41.64/11.02 41.64/11.02 c(b)(b(c)(c(b)(x1))) = x1 + 2 >= x1 + 1 = c(b)(x1) 41.64/11.02 41.64/11.02 c(b)(b(c)(c(c)(x1))) = x1 + 1 >= x1 = c(c)(x1) 41.64/11.02 41.64/11.02 f6(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.64/11.02 41.64/11.02 f6(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = f6(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.64/11.02 41.64/11.02 f6(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = f6(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.64/11.02 41.64/11.02 f6(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.64/11.02 41.64/11.02 a(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.64/11.02 41.64/11.02 a(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.64/11.02 41.64/11.02 a(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.64/11.02 41.64/11.02 a(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.64/11.02 41.64/11.02 b(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.64/11.02 41.64/11.02 b(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.64/11.02 41.64/11.02 b(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.64/11.02 41.64/11.02 b(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.64/11.02 41.64/11.02 c(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.64/11.02 41.64/11.02 c(c)(c(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.64/11.02 41.64/11.02 c(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.64/11.02 41.64/11.02 c(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.64/11.02 problem: 41.64/11.02 DPs: 41.64/11.02 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(c)(c(f6)(x1))) 41.64/11.02 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(c)(c(a)(x1))) 41.64/11.02 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(c)(c(b)(x1))) 41.64/11.02 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(c(c)(x1))) 41.64/11.02 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.64/11.02 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.64/11.02 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.64/11.02 TRS: 41.64/11.02 b(a)(a(b)(x1)) -> b(b)(x1) 41.64/11.02 c(a)(a(b)(x1)) -> c(b)(x1) 41.64/11.02 b(a)(a(a)(a(b)(x1))) -> b(b)(b(b)(x1)) 41.64/11.02 c(a)(a(a)(a(b)(x1))) -> c(b)(b(b)(x1)) 41.64/11.02 f6(b)(b(c)(c(f6)(x1))) -> f6(f6)(x1) 41.64/11.02 f6(b)(b(c)(c(a)(x1))) -> f6(a)(x1) 41.64/11.02 f6(b)(b(c)(c(c)(x1))) -> f6(c)(x1) 41.64/11.02 a(b)(b(c)(c(f6)(x1))) -> a(f6)(x1) 41.64/11.02 a(b)(b(c)(c(a)(x1))) -> a(a)(x1) 41.64/11.02 a(b)(b(c)(c(c)(x1))) -> a(c)(x1) 41.64/11.02 f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.64/11.02 f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.64/11.02 f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.64/11.02 f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.64/11.02 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.64/11.02 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.64/11.02 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.64/11.02 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.64/11.02 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.64/11.02 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.64/11.02 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.72/11.08 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.72/11.08 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.72/11.08 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.72/11.08 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.72/11.08 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.72/11.08 Usable Rule Processor: 41.72/11.08 DPs: 41.72/11.08 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(c)(c(f6)(x1))) 41.72/11.08 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(c)(c(a)(x1))) 41.72/11.08 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(c)(c(b)(x1))) 41.72/11.08 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(c(c)(x1))) 41.72/11.08 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.72/11.08 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.72/11.08 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.72/11.08 TRS: 41.72/11.08 c(a)(a(b)(x1)) -> c(b)(x1) 41.72/11.08 c(a)(a(a)(a(b)(x1))) -> c(b)(b(b)(x1)) 41.72/11.08 f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.72/11.08 f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.72/11.08 f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.72/11.08 f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.72/11.08 a(b)(b(c)(c(c)(x1))) -> a(c)(x1) 41.72/11.08 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.72/11.08 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.72/11.08 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.72/11.08 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.72/11.08 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.72/11.08 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.72/11.08 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.72/11.08 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.72/11.08 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.72/11.08 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.72/11.08 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.72/11.08 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.72/11.08 b(a)(a(b)(x1)) -> b(b)(x1) 41.72/11.08 b(a)(a(a)(a(b)(x1))) -> b(b)(b(b)(x1)) 41.72/11.08 a(b)(b(c)(c(f6)(x1))) -> a(f6)(x1) 41.72/11.08 a(b)(b(c)(c(a)(x1))) -> a(a)(x1) 41.72/11.08 Polynomial Interpretation Processor: 41.72/11.08 dimension: 1 41.72/11.08 interpretation: 41.72/11.08 [a(c)](x0) = x0, 41.72/11.08 41.72/11.08 [a(b)](x0) = x0, 41.72/11.08 41.72/11.08 [a(a)](x0) = x0, 41.72/11.08 41.72/11.08 [a(f6)](x0) = x0, 41.72/11.08 41.72/11.08 [f6(a)](x0) = x0, 41.72/11.08 41.72/11.08 [f6(f6)](x0) = x0 + 1, 41.72/11.08 41.72/11.08 [c(c)](x0) = x0, 41.72/11.08 41.72/11.08 [b(c)](x0) = x0, 41.72/11.08 41.72/11.08 [c(b)](x0) = x0, 41.72/11.08 41.72/11.08 [b(b)](x0) = x0, 41.72/11.08 41.72/11.08 [c(a)](x0) = x0, 41.72/11.08 41.72/11.08 [b(a)](x0) = x0, 41.72/11.08 41.72/11.08 [c(f6)](x0) = x0 + 1, 41.72/11.08 41.72/11.08 [f6(c)](x0) = x0, 41.72/11.08 41.72/11.08 [b(f6)](x0) = x0 + 1, 41.72/11.08 41.72/11.08 [f6(b)](x0) = x0, 41.72/11.08 41.72/11.08 [c{#,(f6)}](x0) = x0 + 1 41.72/11.08 orientation: 41.72/11.08 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = c{#,(f6)}(f6(c)(c(f6)(x1))) 41.72/11.08 41.72/11.08 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(c(a)(x1))) 41.72/11.08 41.72/11.08 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(c(b)(x1))) 41.72/11.08 41.72/11.08 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(c(c)(x1))) 41.72/11.08 41.72/11.08 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = c{#,(f6)}(f6(f6)(x1)) 41.72/11.08 41.72/11.08 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(a)(x1)) 41.72/11.08 41.72/11.08 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(x1)) 41.72/11.08 41.72/11.08 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1) 41.72/11.08 41.72/11.08 c(a)(a(a)(a(b)(x1))) = x1 >= x1 = c(b)(b(b)(x1)) 41.72/11.08 41.72/11.08 f6(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.72/11.08 41.72/11.08 f6(c)(c(b)(b(a)(x1))) = x1 >= x1 = f6(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.72/11.08 41.72/11.08 f6(c)(c(b)(b(b)(x1))) = x1 >= x1 = f6(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.72/11.08 41.72/11.08 f6(c)(c(b)(b(c)(x1))) = x1 >= x1 = f6(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.72/11.08 41.72/11.08 a(b)(b(c)(c(c)(x1))) = x1 >= x1 = a(c)(x1) 41.87/11.24 41.87/11.24 a(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.87/11.24 41.87/11.24 a(c)(c(b)(b(a)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.87/11.24 41.87/11.24 a(c)(c(b)(b(b)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.87/11.24 41.87/11.24 a(c)(c(b)(b(c)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.87/11.24 41.87/11.24 c(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.87/11.24 41.87/11.24 c(c)(c(b)(b(a)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.87/11.24 41.87/11.24 c(c)(c(b)(b(b)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.87/11.24 41.87/11.24 c(c)(c(b)(b(c)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.87/11.24 41.87/11.24 b(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.87/11.24 41.87/11.24 b(c)(c(b)(b(a)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.87/11.24 41.87/11.24 b(c)(c(b)(b(b)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.87/11.24 41.87/11.24 b(c)(c(b)(b(c)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.87/11.24 41.87/11.24 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 41.87/11.24 41.87/11.24 b(a)(a(a)(a(b)(x1))) = x1 >= x1 = b(b)(b(b)(x1)) 41.87/11.24 41.87/11.24 a(b)(b(c)(c(f6)(x1))) = x1 + 1 >= x1 = a(f6)(x1) 41.87/11.24 41.87/11.24 a(b)(b(c)(c(a)(x1))) = x1 >= x1 = a(a)(x1) 41.87/11.24 problem: 41.87/11.24 DPs: 41.87/11.24 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(c)(c(f6)(x1))) 41.87/11.24 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(c)(c(a)(x1))) 41.87/11.24 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(c)(c(b)(x1))) 41.87/11.24 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(c(c)(x1))) 41.87/11.24 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.87/11.24 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.87/11.24 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.87/11.24 TRS: 41.87/11.24 c(a)(a(b)(x1)) -> c(b)(x1) 41.87/11.24 c(a)(a(a)(a(b)(x1))) -> c(b)(b(b)(x1)) 41.87/11.24 f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.87/11.24 f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.87/11.24 f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.87/11.24 f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.87/11.24 a(b)(b(c)(c(c)(x1))) -> a(c)(x1) 41.87/11.24 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.87/11.24 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.87/11.24 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.87/11.24 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.87/11.24 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.87/11.24 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.87/11.24 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.87/11.24 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.87/11.24 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 41.87/11.24 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 41.87/11.24 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 41.87/11.24 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 41.87/11.24 b(a)(a(b)(x1)) -> b(b)(x1) 41.87/11.24 b(a)(a(a)(a(b)(x1))) -> b(b)(b(b)(x1)) 41.87/11.24 a(b)(b(c)(c(a)(x1))) -> a(a)(x1) 41.87/11.24 Polynomial Interpretation Processor: 41.87/11.24 dimension: 1 41.87/11.24 interpretation: 41.87/11.24 [a(c)](x0) = x0, 41.87/11.24 41.87/11.24 [a(b)](x0) = x0, 41.87/11.24 41.87/11.24 [a(a)](x0) = x0, 41.87/11.24 41.87/11.24 [f6(a)](x0) = x0, 41.87/11.24 41.87/11.24 [f6(f6)](x0) = x0, 41.87/11.24 41.87/11.24 [c(c)](x0) = x0, 41.87/11.24 41.87/11.24 [b(c)](x0) = x0, 41.87/11.24 41.87/11.24 [c(b)](x0) = x0, 41.87/11.24 41.87/11.24 [b(b)](x0) = x0, 41.87/11.24 41.87/11.24 [c(a)](x0) = x0, 41.87/11.24 41.87/11.24 [b(a)](x0) = x0, 41.87/11.24 41.87/11.24 [c(f6)](x0) = x0, 41.87/11.24 41.87/11.24 [f6(c)](x0) = x0, 41.87/11.24 41.87/11.24 [b(f6)](x0) = x0, 41.87/11.24 41.87/11.24 [f6(b)](x0) = x0 + 1, 41.87/11.24 41.87/11.24 [c{#,(f6)}](x0) = x0 + 1 41.87/11.24 orientation: 41.87/11.24 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(c)(c(f6)(x1))) 41.87/11.24 41.87/11.24 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(c)(c(a)(x1))) 41.87/11.24 42.09/11.44 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(c)(c(b)(x1))) 42.09/11.44 42.09/11.44 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(c)(c(c)(x1))) 42.09/11.44 42.09/11.44 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(f6)(x1)) 42.09/11.44 42.09/11.44 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(a)(x1)) 42.09/11.44 42.09/11.44 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 1 = c{#,(f6)}(f6(c)(x1)) 42.09/11.44 42.09/11.44 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1) 42.09/11.44 42.09/11.44 c(a)(a(a)(a(b)(x1))) = x1 >= x1 = c(b)(b(b)(x1)) 42.09/11.44 42.09/11.44 f6(c)(c(b)(b(f6)(x1))) = x1 >= x1 = f6(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 42.09/11.44 42.09/11.44 f6(c)(c(b)(b(a)(x1))) = x1 >= x1 = f6(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 42.09/11.44 42.09/11.44 f6(c)(c(b)(b(b)(x1))) = x1 >= x1 = f6(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 42.09/11.44 42.09/11.44 f6(c)(c(b)(b(c)(x1))) = x1 >= x1 = f6(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 42.09/11.44 42.09/11.44 a(b)(b(c)(c(c)(x1))) = x1 >= x1 = a(c)(x1) 42.09/11.44 42.09/11.44 a(c)(c(b)(b(f6)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 42.09/11.44 42.09/11.44 a(c)(c(b)(b(a)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 42.09/11.44 42.09/11.44 a(c)(c(b)(b(b)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 42.09/11.44 42.09/11.44 a(c)(c(b)(b(c)(x1))) = x1 >= x1 = a(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 42.09/11.44 42.09/11.44 c(c)(c(b)(b(f6)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 42.09/11.44 42.09/11.44 c(c)(c(b)(b(a)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 42.09/11.44 42.09/11.44 c(c)(c(b)(b(b)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 42.09/11.44 42.09/11.44 c(c)(c(b)(b(c)(x1))) = x1 >= x1 = c(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 42.09/11.44 42.09/11.44 b(c)(c(b)(b(f6)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 42.09/11.44 42.09/11.44 b(c)(c(b)(b(a)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 42.09/11.44 42.09/11.44 b(c)(c(b)(b(b)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 42.09/11.44 42.09/11.44 b(c)(c(b)(b(c)(x1))) = x1 >= x1 = b(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 42.09/11.44 42.09/11.44 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 42.09/11.44 42.09/11.44 b(a)(a(a)(a(b)(x1))) = x1 >= x1 = b(b)(b(b)(x1)) 42.09/11.44 42.09/11.44 a(b)(b(c)(c(a)(x1))) = x1 >= x1 = a(a)(x1) 42.09/11.44 problem: 42.09/11.44 DPs: 42.09/11.44 42.09/11.44 TRS: 42.09/11.44 c(a)(a(b)(x1)) -> c(b)(x1) 42.09/11.44 c(a)(a(a)(a(b)(x1))) -> c(b)(b(b)(x1)) 42.09/11.44 f6(c)(c(b)(b(f6)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 42.09/11.44 f6(c)(c(b)(b(a)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 42.09/11.44 f6(c)(c(b)(b(b)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 42.09/11.44 f6(c)(c(b)(b(c)(x1))) -> f6(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 42.09/11.44 a(b)(b(c)(c(c)(x1))) -> a(c)(x1) 42.09/11.44 a(c)(c(b)(b(f6)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 42.09/11.44 a(c)(c(b)(b(a)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 42.09/11.44 a(c)(c(b)(b(b)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 42.09/11.44 a(c)(c(b)(b(c)(x1))) -> a(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 42.09/11.44 c(c)(c(b)(b(f6)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 42.09/11.44 c(c)(c(b)(b(a)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 42.09/11.44 c(c)(c(b)(b(b)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 42.09/11.44 c(c)(c(b)(b(c)(x1))) -> c(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 42.09/11.44 b(c)(c(b)(b(f6)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(f6)(x1))))) 42.09/11.44 b(c)(c(b)(b(a)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(a)(x1))))) 42.09/11.44 b(c)(c(b)(b(b)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(b)(x1))))) 42.09/11.44 b(c)(c(b)(b(c)(x1))) -> b(a)(a(b)(b(c)(c(c)(c(c)(x1))))) 42.09/11.44 b(a)(a(b)(x1)) -> b(b)(x1) 42.09/11.44 b(a)(a(a)(a(b)(x1))) -> b(b)(b(b)(x1)) 42.09/11.44 a(b)(b(c)(c(a)(x1))) -> a(a)(x1) 42.09/11.44 Qed 42.09/11.45 EOF