42.30/11.03 YES 42.30/11.04 42.30/11.04 Problem: 42.30/11.04 a(x1) -> x1 42.30/11.04 a(b(x1)) -> c(a(a(c(x1)))) 42.30/11.04 b(x1) -> x1 42.30/11.04 c(c(x1)) -> b(b(x1)) 42.30/11.04 42.30/11.04 Proof: 42.30/11.04 DP Processor: 42.30/11.04 DPs: 42.30/11.04 a#(b(x1)) -> c#(x1) 42.30/11.04 a#(b(x1)) -> a#(c(x1)) 42.30/11.04 a#(b(x1)) -> a#(a(c(x1))) 42.30/11.04 a#(b(x1)) -> c#(a(a(c(x1)))) 42.30/11.04 c#(c(x1)) -> b#(x1) 42.30/11.04 c#(c(x1)) -> b#(b(x1)) 42.30/11.04 TRS: 42.30/11.04 a(x1) -> x1 42.30/11.04 a(b(x1)) -> c(a(a(c(x1)))) 42.30/11.04 b(x1) -> x1 42.30/11.04 c(c(x1)) -> b(b(x1)) 42.30/11.04 TDG Processor: 42.30/11.04 DPs: 42.30/11.04 a#(b(x1)) -> c#(x1) 42.30/11.04 a#(b(x1)) -> a#(c(x1)) 42.30/11.04 a#(b(x1)) -> a#(a(c(x1))) 42.30/11.04 a#(b(x1)) -> c#(a(a(c(x1)))) 42.30/11.04 c#(c(x1)) -> b#(x1) 42.30/11.04 c#(c(x1)) -> b#(b(x1)) 42.30/11.04 TRS: 42.30/11.04 a(x1) -> x1 42.30/11.04 a(b(x1)) -> c(a(a(c(x1)))) 42.30/11.04 b(x1) -> x1 42.30/11.04 c(c(x1)) -> b(b(x1)) 42.30/11.04 graph: 42.30/11.04 a#(b(x1)) -> c#(a(a(c(x1)))) -> c#(c(x1)) -> b#(b(x1)) 42.30/11.04 a#(b(x1)) -> c#(a(a(c(x1)))) -> c#(c(x1)) -> b#(x1) 42.30/11.04 a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> b#(b(x1)) 42.30/11.04 a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> b#(x1) 42.30/11.04 a#(b(x1)) -> a#(c(x1)) -> a#(b(x1)) -> c#(a(a(c(x1)))) 42.30/11.04 a#(b(x1)) -> a#(c(x1)) -> a#(b(x1)) -> a#(a(c(x1))) 42.30/11.04 a#(b(x1)) -> a#(c(x1)) -> a#(b(x1)) -> a#(c(x1)) 42.30/11.04 a#(b(x1)) -> a#(c(x1)) -> a#(b(x1)) -> c#(x1) 42.30/11.04 a#(b(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> c#(a(a(c(x1)))) 42.30/11.04 a#(b(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> a#(a(c(x1))) 42.30/11.04 a#(b(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> a#(c(x1)) 42.30/11.04 a#(b(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> c#(x1) 42.30/11.04 SCC Processor: 42.30/11.04 #sccs: 1 42.30/11.04 #rules: 2 42.30/11.04 #arcs: 12/36 42.30/11.04 DPs: 42.30/11.04 a#(b(x1)) -> a#(c(x1)) 42.30/11.04 a#(b(x1)) -> a#(a(c(x1))) 42.30/11.04 TRS: 42.30/11.04 a(x1) -> x1 42.30/11.04 a(b(x1)) -> c(a(a(c(x1)))) 42.30/11.04 b(x1) -> x1 42.30/11.04 c(c(x1)) -> b(b(x1)) 42.30/11.04 Root-Labeling Processor: 42.30/11.04 DPs: 42.30/11.04 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 42.30/11.04 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 42.30/11.04 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 42.30/11.04 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 42.30/11.04 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 42.30/11.04 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 42.30/11.04 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 42.30/11.04 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 42.30/11.04 TRS: 42.30/11.04 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 42.30/11.04 f6(a)(a(a)(x1)) -> f6(a)(x1) 42.30/11.04 f6(a)(a(b)(x1)) -> f6(b)(x1) 42.30/11.04 f6(a)(a(c)(x1)) -> f6(c)(x1) 42.30/11.04 a(a)(a(f6)(x1)) -> a(f6)(x1) 42.30/11.04 a(a)(a(a)(x1)) -> a(a)(x1) 42.30/11.04 a(a)(a(b)(x1)) -> a(b)(x1) 42.30/11.04 a(a)(a(c)(x1)) -> a(c)(x1) 42.30/11.04 b(a)(a(f6)(x1)) -> b(f6)(x1) 42.30/11.04 b(a)(a(a)(x1)) -> b(a)(x1) 42.30/11.04 b(a)(a(b)(x1)) -> b(b)(x1) 42.30/11.04 b(a)(a(c)(x1)) -> b(c)(x1) 42.30/11.04 c(a)(a(f6)(x1)) -> c(f6)(x1) 42.30/11.04 c(a)(a(a)(x1)) -> c(a)(x1) 42.30/11.04 c(a)(a(b)(x1)) -> c(b)(x1) 42.30/11.04 c(a)(a(c)(x1)) -> c(c)(x1) 42.30/11.04 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.30/11.04 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.30/11.04 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.30/11.04 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.30/11.04 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.30/11.04 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.30/11.04 a(a)(a(b)(b(b)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.30/11.04 a(a)(a(b)(b(c)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.30/11.04 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.30/11.04 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.30/11.04 b(a)(a(b)(b(b)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.30/11.04 b(a)(a(b)(b(c)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.30/11.04 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.30/11.04 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.30/11.04 c(a)(a(b)(b(b)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.30/11.04 c(a)(a(b)(b(c)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.30/11.04 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 42.30/11.04 f6(b)(b(a)(x1)) -> f6(a)(x1) 42.30/11.04 f6(b)(b(b)(x1)) -> f6(b)(x1) 42.30/11.04 f6(b)(b(c)(x1)) -> f6(c)(x1) 42.30/11.04 a(b)(b(f6)(x1)) -> a(f6)(x1) 42.30/11.04 a(b)(b(a)(x1)) -> a(a)(x1) 42.30/11.04 a(b)(b(b)(x1)) -> a(b)(x1) 42.30/11.04 a(b)(b(c)(x1)) -> a(c)(x1) 42.30/11.04 b(b)(b(f6)(x1)) -> b(f6)(x1) 42.30/11.04 b(b)(b(a)(x1)) -> b(a)(x1) 42.30/11.04 b(b)(b(b)(x1)) -> b(b)(x1) 42.30/11.04 b(b)(b(c)(x1)) -> b(c)(x1) 42.54/11.17 c(b)(b(f6)(x1)) -> c(f6)(x1) 42.54/11.17 c(b)(b(a)(x1)) -> c(a)(x1) 42.54/11.17 c(b)(b(b)(x1)) -> c(b)(x1) 42.54/11.17 c(b)(b(c)(x1)) -> c(c)(x1) 42.54/11.17 f6(c)(c(c)(c(f6)(x1))) -> f6(b)(b(b)(b(f6)(x1))) 42.54/11.17 f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(b)(b(a)(x1))) 42.54/11.17 f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(b(b)(x1))) 42.54/11.17 f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(b)(b(c)(x1))) 42.54/11.17 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(f6)(x1))) 42.54/11.17 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(x1))) 42.54/11.17 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(b)(x1))) 42.54/11.17 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(c)(x1))) 42.54/11.17 b(c)(c(c)(c(f6)(x1))) -> b(b)(b(b)(b(f6)(x1))) 42.54/11.17 b(c)(c(c)(c(a)(x1))) -> b(b)(b(b)(b(a)(x1))) 42.54/11.17 b(c)(c(c)(c(b)(x1))) -> b(b)(b(b)(b(b)(x1))) 42.54/11.17 b(c)(c(c)(c(c)(x1))) -> b(b)(b(b)(b(c)(x1))) 42.54/11.17 c(c)(c(c)(c(f6)(x1))) -> c(b)(b(b)(b(f6)(x1))) 42.54/11.17 c(c)(c(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) 42.54/11.17 c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) 42.54/11.17 c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) 42.54/11.17 Polynomial Interpretation Processor: 42.54/11.17 dimension: 1 42.54/11.17 interpretation: 42.54/11.17 [a(b)](x0) = x0, 42.54/11.17 42.54/11.17 [a(a)](x0) = x0, 42.54/11.17 42.54/11.17 [f6(f6)](x0) = x0, 42.54/11.17 42.54/11.17 [a(f6)](x0) = x0 + 1, 42.54/11.17 42.54/11.17 [a(c)](x0) = x0, 42.54/11.17 42.54/11.17 [f6(a)](x0) = x0 + 1, 42.54/11.17 42.54/11.17 [c(c)](x0) = x0, 42.54/11.17 42.54/11.17 [b(c)](x0) = x0, 42.54/11.17 42.54/11.17 [c(b)](x0) = x0, 42.54/11.17 42.54/11.17 [b(b)](x0) = x0, 42.54/11.17 42.54/11.17 [c(a)](x0) = x0, 42.54/11.17 42.54/11.17 [b(a)](x0) = x0, 42.54/11.17 42.54/11.17 [c(f6)](x0) = x0 + 1, 42.54/11.17 42.54/11.17 [f6(c)](x0) = x0 + 1, 42.54/11.17 42.54/11.17 [b(f6)](x0) = x0 + 1, 42.54/11.17 42.54/11.17 [f6(b)](x0) = x0 + 1, 42.54/11.17 42.54/11.17 [a{#,(f6)}](x0) = x0 + 1 42.54/11.17 orientation: 42.54/11.17 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(c)(c(f6)(x1))) 42.54/11.17 42.54/11.17 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(a)(x1))) 42.54/11.17 42.54/11.17 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(b)(x1))) 42.54/11.17 42.54/11.17 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(c)(x1))) 42.54/11.17 42.54/11.17 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 42.54/11.17 42.54/11.17 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 42.54/11.17 42.54/11.17 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 42.54/11.17 42.54/11.17 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 42.54/11.17 42.54/11.17 f6(a)(a(f6)(x1)) = x1 + 2 >= x1 = f6(f6)(x1) 42.54/11.17 42.54/11.17 f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 42.54/11.17 42.54/11.17 f6(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1) 42.54/11.17 42.54/11.17 f6(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1) 42.54/11.17 42.54/11.17 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 42.54/11.17 42.54/11.17 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 42.54/11.17 42.54/11.17 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 42.54/11.17 42.54/11.17 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 42.54/11.17 42.54/11.17 b(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 42.54/11.17 42.54/11.17 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 42.54/11.17 42.54/11.17 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 42.54/11.17 42.54/11.17 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 42.54/11.17 42.54/11.17 c(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 42.54/11.17 42.54/11.17 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 42.54/11.17 42.54/11.17 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1) 42.54/11.17 42.54/11.17 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 42.54/11.17 42.54/11.17 f6(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.54/11.17 42.54/11.17 f6(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.54/11.17 42.54/11.17 f6(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.54/11.17 42.54/11.17 f6(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.54/11.17 42.54/11.17 a(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.54/11.17 42.54/11.17 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.54/11.17 42.54/11.17 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.54/11.17 42.54/11.17 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.54/11.17 42.54/11.17 b(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.63/11.28 42.63/11.28 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.63/11.28 42.63/11.28 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.63/11.28 42.63/11.28 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.63/11.28 42.63/11.28 c(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.63/11.28 42.63/11.28 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.63/11.28 42.63/11.28 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.63/11.28 42.63/11.28 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.63/11.28 42.63/11.28 f6(b)(b(f6)(x1)) = x1 + 2 >= x1 = f6(f6)(x1) 42.63/11.28 42.63/11.28 f6(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 42.63/11.28 42.63/11.28 f6(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1) 42.63/11.28 42.63/11.28 f6(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1) 42.63/11.28 42.63/11.28 a(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 42.63/11.28 42.63/11.28 a(b)(b(a)(x1)) = x1 >= x1 = a(a)(x1) 42.63/11.28 42.63/11.28 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 42.63/11.28 42.63/11.28 a(b)(b(c)(x1)) = x1 >= x1 = a(c)(x1) 42.63/11.28 42.63/11.28 b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 42.63/11.28 42.63/11.28 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 42.63/11.28 42.63/11.28 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 42.63/11.28 42.63/11.28 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 42.63/11.28 42.63/11.28 c(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 42.63/11.28 42.63/11.28 c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1) 42.63/11.28 42.63/11.28 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 42.63/11.28 42.63/11.28 c(b)(b(c)(x1)) = x1 >= x1 = c(c)(x1) 42.63/11.28 42.63/11.28 f6(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 2 = f6(b)(b(b)(b(f6)(x1))) 42.63/11.28 42.63/11.28 f6(c)(c(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(b)(b(a)(x1))) 42.63/11.28 42.63/11.28 f6(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(b)(b(b)(x1))) 42.63/11.28 42.63/11.28 f6(c)(c(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(b)(b(c)(x1))) 42.63/11.28 42.63/11.28 a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(f6)(x1))) 42.63/11.28 42.63/11.28 a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(x1))) 42.63/11.28 42.63/11.28 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(b(b)(b(b)(x1))) 42.63/11.28 42.63/11.28 a(c)(c(c)(c(c)(x1))) = x1 >= x1 = a(b)(b(b)(b(c)(x1))) 42.63/11.28 42.63/11.28 b(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = b(b)(b(b)(b(f6)(x1))) 42.63/11.28 42.63/11.28 b(c)(c(c)(c(a)(x1))) = x1 >= x1 = b(b)(b(b)(b(a)(x1))) 42.63/11.28 42.63/11.28 b(c)(c(c)(c(b)(x1))) = x1 >= x1 = b(b)(b(b)(b(b)(x1))) 42.63/11.28 42.63/11.28 b(c)(c(c)(c(c)(x1))) = x1 >= x1 = b(b)(b(b)(b(c)(x1))) 42.63/11.28 42.63/11.28 c(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = c(b)(b(b)(b(f6)(x1))) 42.63/11.28 42.63/11.28 c(c)(c(c)(c(a)(x1))) = x1 >= x1 = c(b)(b(b)(b(a)(x1))) 42.63/11.28 42.63/11.28 c(c)(c(c)(c(b)(x1))) = x1 >= x1 = c(b)(b(b)(b(b)(x1))) 42.63/11.28 42.63/11.28 c(c)(c(c)(c(c)(x1))) = x1 >= x1 = c(b)(b(b)(b(c)(x1))) 42.63/11.28 problem: 42.63/11.28 DPs: 42.63/11.28 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 42.63/11.28 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 42.63/11.28 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 42.63/11.28 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 42.63/11.28 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 42.63/11.28 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 42.63/11.28 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 42.63/11.28 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 42.63/11.28 TRS: 42.63/11.28 f6(a)(a(a)(x1)) -> f6(a)(x1) 42.63/11.28 f6(a)(a(b)(x1)) -> f6(b)(x1) 42.63/11.28 f6(a)(a(c)(x1)) -> f6(c)(x1) 42.63/11.28 a(a)(a(f6)(x1)) -> a(f6)(x1) 42.63/11.28 a(a)(a(a)(x1)) -> a(a)(x1) 42.63/11.28 a(a)(a(b)(x1)) -> a(b)(x1) 42.63/11.28 a(a)(a(c)(x1)) -> a(c)(x1) 42.63/11.28 b(a)(a(f6)(x1)) -> b(f6)(x1) 42.63/11.28 b(a)(a(a)(x1)) -> b(a)(x1) 42.63/11.28 b(a)(a(b)(x1)) -> b(b)(x1) 42.63/11.28 b(a)(a(c)(x1)) -> b(c)(x1) 42.63/11.28 c(a)(a(f6)(x1)) -> c(f6)(x1) 42.63/11.28 c(a)(a(a)(x1)) -> c(a)(x1) 42.63/11.28 c(a)(a(b)(x1)) -> c(b)(x1) 42.63/11.28 c(a)(a(c)(x1)) -> c(c)(x1) 42.63/11.28 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.63/11.28 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.63/11.28 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.63/11.28 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.63/11.28 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.69/11.30 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.69/11.30 a(a)(a(b)(b(b)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.69/11.30 a(a)(a(b)(b(c)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.69/11.30 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.69/11.30 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.69/11.30 b(a)(a(b)(b(b)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.69/11.30 b(a)(a(b)(b(c)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.69/11.30 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.69/11.30 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.69/11.30 c(a)(a(b)(b(b)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.69/11.30 c(a)(a(b)(b(c)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.69/11.30 f6(b)(b(a)(x1)) -> f6(a)(x1) 42.69/11.30 f6(b)(b(b)(x1)) -> f6(b)(x1) 42.69/11.30 f6(b)(b(c)(x1)) -> f6(c)(x1) 42.69/11.30 a(b)(b(f6)(x1)) -> a(f6)(x1) 42.69/11.30 a(b)(b(a)(x1)) -> a(a)(x1) 42.69/11.30 a(b)(b(b)(x1)) -> a(b)(x1) 42.69/11.30 a(b)(b(c)(x1)) -> a(c)(x1) 42.69/11.30 b(b)(b(f6)(x1)) -> b(f6)(x1) 42.69/11.30 b(b)(b(a)(x1)) -> b(a)(x1) 42.69/11.30 b(b)(b(b)(x1)) -> b(b)(x1) 42.69/11.30 b(b)(b(c)(x1)) -> b(c)(x1) 42.69/11.30 c(b)(b(f6)(x1)) -> c(f6)(x1) 42.69/11.30 c(b)(b(a)(x1)) -> c(a)(x1) 42.69/11.30 c(b)(b(b)(x1)) -> c(b)(x1) 42.69/11.30 c(b)(b(c)(x1)) -> c(c)(x1) 42.69/11.30 f6(c)(c(c)(c(f6)(x1))) -> f6(b)(b(b)(b(f6)(x1))) 42.69/11.30 f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(b)(b(a)(x1))) 42.69/11.30 f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(b(b)(x1))) 42.69/11.30 f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(b)(b(c)(x1))) 42.69/11.30 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(f6)(x1))) 42.69/11.30 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(x1))) 42.69/11.30 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(b)(x1))) 42.69/11.30 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(c)(x1))) 42.69/11.30 b(c)(c(c)(c(f6)(x1))) -> b(b)(b(b)(b(f6)(x1))) 42.69/11.30 b(c)(c(c)(c(a)(x1))) -> b(b)(b(b)(b(a)(x1))) 42.69/11.30 b(c)(c(c)(c(b)(x1))) -> b(b)(b(b)(b(b)(x1))) 42.69/11.30 b(c)(c(c)(c(c)(x1))) -> b(b)(b(b)(b(c)(x1))) 42.69/11.30 c(c)(c(c)(c(f6)(x1))) -> c(b)(b(b)(b(f6)(x1))) 42.69/11.30 c(c)(c(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) 42.69/11.30 c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) 42.69/11.30 c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) 42.69/11.30 Polynomial Interpretation Processor: 42.69/11.30 dimension: 1 42.69/11.30 interpretation: 42.69/11.30 [a(b)](x0) = x0 + 1, 42.69/11.30 42.69/11.30 [a(a)](x0) = x0, 42.69/11.30 42.69/11.30 [a(f6)](x0) = x0, 42.69/11.30 42.69/11.30 [a(c)](x0) = x0, 42.69/11.30 42.69/11.30 [f6(a)](x0) = x0, 42.69/11.30 42.69/11.30 [c(c)](x0) = x0 + 1, 42.69/11.30 42.69/11.30 [b(c)](x0) = x0 + 1, 42.69/11.30 42.69/11.30 [c(b)](x0) = x0, 42.69/11.30 42.69/11.30 [b(b)](x0) = x0, 42.69/11.30 42.69/11.30 [c(a)](x0) = x0 + 1, 42.69/11.30 42.69/11.30 [b(a)](x0) = x0 + 1, 42.69/11.30 42.69/11.30 [c(f6)](x0) = x0, 42.69/11.30 42.69/11.30 [f6(c)](x0) = x0, 42.69/11.30 42.69/11.30 [b(f6)](x0) = x0, 42.69/11.30 42.69/11.30 [f6(b)](x0) = x0, 42.69/11.30 42.69/11.30 [a{#,(f6)}](x0) = x0 + 1 42.69/11.30 orientation: 42.69/11.30 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(f6)(x1))) 42.69/11.30 42.69/11.30 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(a)(x1))) 42.69/11.30 42.69/11.30 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(b)(x1))) 42.69/11.30 42.69/11.30 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(c)(c(c)(x1))) 42.69/11.30 42.69/11.30 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 42.69/11.30 42.69/11.30 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 42.69/11.30 42.69/11.30 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 42.69/11.30 42.69/11.30 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 42.69/11.30 42.69/11.30 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 42.69/11.30 42.69/11.30 f6(a)(a(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 42.69/11.30 42.69/11.30 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 42.69/11.30 42.69/11.30 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 42.69/11.30 42.69/11.30 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 42.69/11.30 42.69/11.30 a(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 42.69/11.30 42.69/11.30 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 42.69/11.30 42.69/11.30 b(a)(a(f6)(x1)) = x1 + 1 >= x1 = b(f6)(x1) 42.69/11.30 42.69/11.30 b(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 42.85/11.52 42.85/11.52 b(a)(a(b)(x1)) = x1 + 2 >= x1 = b(b)(x1) 42.85/11.52 42.85/11.52 b(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 42.85/11.52 42.85/11.52 c(a)(a(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1) 42.85/11.52 42.85/11.52 c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 42.85/11.52 42.85/11.52 c(a)(a(b)(x1)) = x1 + 2 >= x1 = c(b)(x1) 42.85/11.52 42.85/11.52 c(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 42.85/11.52 42.85/11.52 f6(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 42.85/11.52 f6(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 42.85/11.52 f6(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.85/11.52 42.85/11.52 f6(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.85/11.52 42.85/11.52 a(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 42.85/11.52 a(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 42.85/11.52 a(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.85/11.52 42.85/11.52 a(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.85/11.52 42.85/11.52 b(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 42.85/11.52 b(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 42.85/11.52 b(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.85/11.52 42.85/11.52 b(a)(a(b)(b(c)(x1))) = x1 + 3 >= x1 + 3 = b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.85/11.52 42.85/11.52 c(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 42.85/11.52 c(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 42.85/11.52 c(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.85/11.52 42.85/11.52 c(a)(a(b)(b(c)(x1))) = x1 + 3 >= x1 + 3 = c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.85/11.52 42.85/11.52 f6(b)(b(a)(x1)) = x1 + 1 >= x1 = f6(a)(x1) 42.85/11.52 42.85/11.52 f6(b)(b(b)(x1)) = x1 >= x1 = f6(b)(x1) 42.85/11.52 42.85/11.52 f6(b)(b(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1) 42.85/11.52 42.85/11.52 a(b)(b(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1) 42.85/11.52 42.85/11.52 a(b)(b(a)(x1)) = x1 + 2 >= x1 = a(a)(x1) 42.85/11.52 42.85/11.52 a(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 42.85/11.52 42.85/11.52 a(b)(b(c)(x1)) = x1 + 2 >= x1 = a(c)(x1) 42.85/11.52 42.85/11.52 b(b)(b(f6)(x1)) = x1 >= x1 = b(f6)(x1) 42.85/11.52 42.85/11.52 b(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 42.85/11.52 42.85/11.52 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 42.85/11.52 42.85/11.52 b(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 42.85/11.52 42.85/11.52 c(b)(b(f6)(x1)) = x1 >= x1 = c(f6)(x1) 42.85/11.52 42.85/11.52 c(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 42.85/11.52 42.85/11.52 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 42.85/11.52 42.85/11.52 c(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 42.85/11.52 42.85/11.52 f6(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 = f6(b)(b(b)(b(f6)(x1))) 42.85/11.52 42.85/11.52 f6(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(b)(b(a)(x1))) 42.85/11.52 42.85/11.52 f6(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 = f6(b)(b(b)(b(b)(x1))) 42.85/11.52 42.85/11.52 f6(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(b)(b(c)(x1))) 42.85/11.52 42.85/11.52 a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(f6)(x1))) 42.85/11.52 42.85/11.52 a(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(a)(x1))) 42.85/11.52 42.85/11.52 a(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(b)(x1))) 42.85/11.52 42.85/11.52 a(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(b)(b(c)(x1))) 42.85/11.52 42.85/11.52 b(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 = b(b)(b(b)(b(f6)(x1))) 42.85/11.52 42.85/11.52 b(c)(c(c)(c(a)(x1))) = x1 + 3 >= x1 + 1 = b(b)(b(b)(b(a)(x1))) 42.85/11.52 42.85/11.52 b(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 = b(b)(b(b)(b(b)(x1))) 42.85/11.52 42.85/11.52 b(c)(c(c)(c(c)(x1))) = x1 + 3 >= x1 + 1 = b(b)(b(b)(b(c)(x1))) 42.85/11.52 42.85/11.52 c(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 = c(b)(b(b)(b(f6)(x1))) 42.85/11.52 42.85/11.52 c(c)(c(c)(c(a)(x1))) = x1 + 3 >= x1 + 1 = c(b)(b(b)(b(a)(x1))) 42.85/11.52 42.85/11.52 c(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 = c(b)(b(b)(b(b)(x1))) 42.85/11.52 42.85/11.52 c(c)(c(c)(c(c)(x1))) = x1 + 3 >= x1 + 1 = c(b)(b(b)(b(c)(x1))) 42.85/11.52 problem: 42.85/11.52 DPs: 42.85/11.52 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 42.85/11.52 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 42.85/11.52 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 42.85/11.52 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 42.85/11.52 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 42.85/11.52 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 42.85/11.52 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 42.85/11.52 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 42.85/11.52 TRS: 42.85/11.52 f6(a)(a(a)(x1)) -> f6(a)(x1) 42.85/11.52 f6(a)(a(c)(x1)) -> f6(c)(x1) 42.85/11.52 a(a)(a(f6)(x1)) -> a(f6)(x1) 42.85/11.52 a(a)(a(a)(x1)) -> a(a)(x1) 42.85/11.52 a(a)(a(b)(x1)) -> a(b)(x1) 42.85/11.52 a(a)(a(c)(x1)) -> a(c)(x1) 42.85/11.52 b(a)(a(a)(x1)) -> b(a)(x1) 42.85/11.52 b(a)(a(c)(x1)) -> b(c)(x1) 42.85/11.52 c(a)(a(a)(x1)) -> c(a)(x1) 42.85/11.52 c(a)(a(c)(x1)) -> c(c)(x1) 42.85/11.52 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.85/11.52 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.85/11.52 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 a(a)(a(b)(b(b)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.85/11.52 a(a)(a(b)(b(c)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.85/11.52 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 b(a)(a(b)(b(b)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.85/11.52 b(a)(a(b)(b(c)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.85/11.52 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 c(a)(a(b)(b(b)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.85/11.52 c(a)(a(b)(b(c)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.85/11.52 f6(b)(b(b)(x1)) -> f6(b)(x1) 42.85/11.52 a(b)(b(b)(x1)) -> a(b)(x1) 42.85/11.52 b(b)(b(f6)(x1)) -> b(f6)(x1) 42.85/11.52 b(b)(b(a)(x1)) -> b(a)(x1) 42.85/11.52 b(b)(b(b)(x1)) -> b(b)(x1) 42.85/11.52 b(b)(b(c)(x1)) -> b(c)(x1) 42.85/11.52 c(b)(b(f6)(x1)) -> c(f6)(x1) 42.85/11.52 c(b)(b(a)(x1)) -> c(a)(x1) 42.85/11.52 c(b)(b(b)(x1)) -> c(b)(x1) 42.85/11.52 c(b)(b(c)(x1)) -> c(c)(x1) 42.85/11.52 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(f6)(x1))) 42.85/11.52 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(x1))) 42.85/11.52 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(b)(x1))) 42.85/11.52 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(c)(x1))) 42.85/11.52 Usable Rule Processor: 42.85/11.52 DPs: 42.85/11.52 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 42.85/11.52 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 42.85/11.52 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 42.85/11.52 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 42.85/11.52 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 42.85/11.52 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 42.85/11.52 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 42.85/11.52 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 42.85/11.52 TRS: 42.85/11.52 c(a)(a(a)(x1)) -> c(a)(x1) 42.85/11.52 c(a)(a(c)(x1)) -> c(c)(x1) 42.85/11.52 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 c(a)(a(b)(b(b)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.85/11.52 c(a)(a(b)(b(c)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.85/11.52 a(a)(a(c)(x1)) -> a(c)(x1) 42.85/11.52 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(f6)(x1))) 42.85/11.52 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(x1))) 42.85/11.52 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(b)(x1))) 42.85/11.52 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(c)(x1))) 42.85/11.52 a(b)(b(b)(x1)) -> a(b)(x1) 42.85/11.52 b(b)(b(f6)(x1)) -> b(f6)(x1) 42.85/11.52 b(a)(a(a)(x1)) -> b(a)(x1) 42.85/11.52 b(a)(a(c)(x1)) -> b(c)(x1) 42.85/11.52 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.85/11.52 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.85/11.52 b(a)(a(b)(b(b)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.98/11.64 b(a)(a(b)(b(c)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.98/11.64 b(b)(b(a)(x1)) -> b(a)(x1) 42.98/11.64 b(b)(b(b)(x1)) -> b(b)(x1) 42.98/11.64 b(b)(b(c)(x1)) -> b(c)(x1) 42.98/11.64 a(a)(a(f6)(x1)) -> a(f6)(x1) 42.98/11.64 a(a)(a(a)(x1)) -> a(a)(x1) 42.98/11.64 a(a)(a(b)(x1)) -> a(b)(x1) 42.98/11.64 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.98/11.64 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.98/11.64 a(a)(a(b)(b(b)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.98/11.64 a(a)(a(b)(b(c)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.98/11.64 c(b)(b(f6)(x1)) -> c(f6)(x1) 42.98/11.64 c(b)(b(a)(x1)) -> c(a)(x1) 42.98/11.64 c(b)(b(b)(x1)) -> c(b)(x1) 42.98/11.64 c(b)(b(c)(x1)) -> c(c)(x1) 42.98/11.64 f6(a)(a(c)(x1)) -> f6(c)(x1) 42.98/11.64 f6(a)(a(a)(x1)) -> f6(a)(x1) 42.98/11.64 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.98/11.64 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.98/11.64 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.98/11.64 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.98/11.64 Polynomial Interpretation Processor: 42.98/11.64 dimension: 1 42.98/11.64 interpretation: 42.98/11.64 [a(b)](x0) = x0, 42.98/11.64 42.98/11.64 [a(a)](x0) = x0, 42.98/11.64 42.98/11.64 [a(f6)](x0) = x0, 42.98/11.64 42.98/11.64 [a(c)](x0) = x0, 42.98/11.64 42.98/11.64 [f6(a)](x0) = x0 + 1, 42.98/11.64 42.98/11.64 [c(c)](x0) = x0, 42.98/11.64 42.98/11.64 [b(c)](x0) = x0, 42.98/11.64 42.98/11.64 [c(b)](x0) = x0, 42.98/11.64 42.98/11.64 [b(b)](x0) = x0, 42.98/11.64 42.98/11.64 [c(a)](x0) = x0, 42.98/11.64 42.98/11.64 [b(a)](x0) = x0, 42.98/11.64 42.98/11.64 [c(f6)](x0) = x0, 42.98/11.64 42.98/11.64 [f6(c)](x0) = x0, 42.98/11.64 42.98/11.64 [b(f6)](x0) = x0, 42.98/11.64 42.98/11.64 [f6(b)](x0) = x0 + 1, 42.98/11.64 42.98/11.64 [a{#,(f6)}](x0) = x0 + 1 42.98/11.64 orientation: 42.98/11.64 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(c)(c(f6)(x1))) 42.98/11.64 42.98/11.64 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(x1))) 42.98/11.64 42.98/11.64 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(c)(c(b)(x1))) 42.98/11.64 42.98/11.64 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(c)(c(c)(x1))) 42.98/11.64 42.98/11.64 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 42.98/11.64 42.98/11.64 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 42.98/11.64 42.98/11.64 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 42.98/11.64 42.98/11.64 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 42.98/11.64 42.98/11.64 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 42.98/11.64 42.98/11.64 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 42.98/11.64 42.98/11.64 c(a)(a(b)(b(f6)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.98/11.64 42.98/11.64 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.98/11.64 42.98/11.64 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.98/11.64 42.98/11.64 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.98/11.64 42.98/11.64 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 42.98/11.64 42.98/11.64 a(c)(c(c)(c(f6)(x1))) = x1 >= x1 = a(b)(b(b)(b(f6)(x1))) 42.98/11.64 42.98/11.64 a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(x1))) 42.98/11.64 42.98/11.64 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(b(b)(b(b)(x1))) 42.98/11.64 42.98/11.64 a(c)(c(c)(c(c)(x1))) = x1 >= x1 = a(b)(b(b)(b(c)(x1))) 42.98/11.64 42.98/11.64 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 42.98/11.64 42.98/11.64 b(b)(b(f6)(x1)) = x1 >= x1 = b(f6)(x1) 42.98/11.64 42.98/11.64 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 42.98/11.64 42.98/11.64 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 42.98/11.64 42.98/11.64 b(a)(a(b)(b(f6)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 42.98/11.64 42.98/11.64 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 42.98/11.64 42.98/11.64 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 42.98/11.64 42.98/11.64 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 42.98/11.64 42.98/11.64 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 42.98/11.64 42.98/11.64 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 43.11/11.74 43.11/11.74 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 43.11/11.74 43.11/11.74 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 43.11/11.74 43.11/11.74 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 43.11/11.74 43.11/11.74 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 43.11/11.74 43.11/11.74 a(a)(a(b)(b(f6)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.11/11.74 43.11/11.74 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.11/11.74 43.11/11.74 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.11/11.74 43.11/11.74 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.11/11.74 43.11/11.74 c(b)(b(f6)(x1)) = x1 >= x1 = c(f6)(x1) 43.11/11.74 43.11/11.74 c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1) 43.11/11.74 43.11/11.74 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 43.11/11.74 43.11/11.74 c(b)(b(c)(x1)) = x1 >= x1 = c(c)(x1) 43.11/11.74 43.11/11.74 f6(a)(a(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1) 43.11/11.74 43.11/11.74 f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 43.11/11.74 43.11/11.74 f6(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 = f6(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.11/11.74 43.11/11.74 f6(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 = f6(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.11/11.74 43.11/11.74 f6(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 = f6(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.11/11.74 43.11/11.74 f6(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 = f6(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.11/11.74 problem: 43.11/11.74 DPs: 43.11/11.74 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 43.11/11.74 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 43.11/11.74 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 43.11/11.74 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 43.11/11.74 TRS: 43.11/11.74 c(a)(a(a)(x1)) -> c(a)(x1) 43.11/11.74 c(a)(a(c)(x1)) -> c(c)(x1) 43.11/11.74 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.11/11.74 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.11/11.74 c(a)(a(b)(b(b)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.11/11.74 c(a)(a(b)(b(c)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.11/11.74 a(a)(a(c)(x1)) -> a(c)(x1) 43.11/11.74 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(f6)(x1))) 43.11/11.74 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(x1))) 43.11/11.74 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(b)(x1))) 43.11/11.74 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(c)(x1))) 43.11/11.74 a(b)(b(b)(x1)) -> a(b)(x1) 43.11/11.74 b(b)(b(f6)(x1)) -> b(f6)(x1) 43.11/11.74 b(a)(a(a)(x1)) -> b(a)(x1) 43.11/11.74 b(a)(a(c)(x1)) -> b(c)(x1) 43.11/11.74 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.11/11.74 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.11/11.74 b(a)(a(b)(b(b)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.11/11.74 b(a)(a(b)(b(c)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.11/11.74 b(b)(b(a)(x1)) -> b(a)(x1) 43.11/11.74 b(b)(b(b)(x1)) -> b(b)(x1) 43.11/11.74 b(b)(b(c)(x1)) -> b(c)(x1) 43.11/11.74 a(a)(a(f6)(x1)) -> a(f6)(x1) 43.11/11.74 a(a)(a(a)(x1)) -> a(a)(x1) 43.11/11.74 a(a)(a(b)(x1)) -> a(b)(x1) 43.11/11.74 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.11/11.74 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.11/11.74 a(a)(a(b)(b(b)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.11/11.74 a(a)(a(b)(b(c)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.11/11.74 c(b)(b(f6)(x1)) -> c(f6)(x1) 43.11/11.74 c(b)(b(a)(x1)) -> c(a)(x1) 43.11/11.74 c(b)(b(b)(x1)) -> c(b)(x1) 43.11/11.74 c(b)(b(c)(x1)) -> c(c)(x1) 43.11/11.74 f6(a)(a(a)(x1)) -> f6(a)(x1) 43.11/11.74 Polynomial Interpretation Processor: 43.11/11.74 dimension: 1 43.11/11.74 interpretation: 43.11/11.74 [a(b)](x0) = x0, 43.11/11.74 43.11/11.74 [a(a)](x0) = x0, 43.11/11.74 43.11/11.74 [a(f6)](x0) = x0, 43.11/11.74 43.11/11.74 [a(c)](x0) = x0, 43.11/11.74 43.11/11.74 [f6(a)](x0) = x0, 43.11/11.74 43.11/11.74 [c(c)](x0) = x0, 43.11/11.74 43.11/11.74 [b(c)](x0) = x0, 43.11/11.74 43.11/11.74 [c(b)](x0) = x0, 43.11/11.74 43.11/11.74 [b(b)](x0) = x0, 43.11/11.74 43.11/11.74 [c(a)](x0) = x0, 43.11/11.74 43.11/11.74 [b(a)](x0) = x0, 43.11/11.74 43.11/11.74 [c(f6)](x0) = x0 + 1, 43.11/11.74 43.11/11.74 [b(f6)](x0) = x0 + 1, 43.11/11.74 43.11/11.74 [f6(b)](x0) = x0 + 1, 43.11/11.74 43.28/11.90 [a{#,(f6)}](x0) = x0 43.28/11.90 orientation: 43.28/11.90 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 43.28/11.90 43.28/11.90 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 43.28/11.90 43.28/11.90 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 43.28/11.90 43.28/11.90 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 43.28/11.90 43.28/11.90 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 43.28/11.90 43.28/11.90 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 43.28/11.90 43.28/11.90 c(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.28/11.90 43.28/11.90 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.28/11.90 43.28/11.90 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.28/11.90 43.28/11.90 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.28/11.90 43.28/11.90 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 43.28/11.90 43.28/11.90 a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(b(f6)(x1))) 43.28/11.90 43.28/11.90 a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(x1))) 43.28/11.90 43.28/11.90 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(b(b)(b(b)(x1))) 43.28/11.90 43.28/11.90 a(c)(c(c)(c(c)(x1))) = x1 >= x1 = a(b)(b(b)(b(c)(x1))) 43.28/11.90 43.28/11.90 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 43.28/11.90 43.28/11.90 b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 43.28/11.90 43.28/11.90 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 43.28/11.90 43.28/11.90 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 43.28/11.90 43.28/11.90 b(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.28/11.90 43.28/11.90 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.28/11.90 43.28/11.90 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.28/11.90 43.28/11.90 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.28/11.90 43.28/11.90 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 43.28/11.90 43.28/11.90 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 43.28/11.90 43.28/11.90 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 43.28/11.90 43.28/11.90 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 43.28/11.90 43.28/11.90 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 43.28/11.90 43.28/11.90 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 43.28/11.90 43.28/11.90 a(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.28/11.90 43.28/11.90 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.28/11.90 43.28/11.90 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.28/11.90 43.28/11.90 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.28/11.90 43.28/11.90 c(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 43.28/11.90 43.28/11.90 c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1) 43.28/11.90 43.28/11.90 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 43.28/11.90 43.28/11.90 c(b)(b(c)(x1)) = x1 >= x1 = c(c)(x1) 43.28/11.90 43.28/11.90 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 43.28/11.90 problem: 43.28/11.90 DPs: 43.28/11.90 43.28/11.90 TRS: 43.28/11.90 c(a)(a(a)(x1)) -> c(a)(x1) 43.28/11.90 c(a)(a(c)(x1)) -> c(c)(x1) 43.28/11.90 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.28/11.90 c(a)(a(b)(b(a)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.28/11.90 c(a)(a(b)(b(b)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.28/11.90 c(a)(a(b)(b(c)(x1))) -> c(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.28/11.90 a(a)(a(c)(x1)) -> a(c)(x1) 43.28/11.90 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(b)(b(f6)(x1))) 43.28/11.90 a(c)(c(c)(c(a)(x1))) -> a(b)(b(b)(b(a)(x1))) 43.28/11.90 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(b(b)(x1))) 43.28/11.90 a(c)(c(c)(c(c)(x1))) -> a(b)(b(b)(b(c)(x1))) 43.28/11.90 a(b)(b(b)(x1)) -> a(b)(x1) 43.28/11.90 b(b)(b(f6)(x1)) -> b(f6)(x1) 43.28/11.90 b(a)(a(a)(x1)) -> b(a)(x1) 43.28/11.90 b(a)(a(c)(x1)) -> b(c)(x1) 43.28/11.90 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.28/11.90 b(a)(a(b)(b(a)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.28/11.90 b(a)(a(b)(b(b)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.28/11.90 b(a)(a(b)(b(c)(x1))) -> b(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.28/11.90 b(b)(b(a)(x1)) -> b(a)(x1) 43.28/11.90 b(b)(b(b)(x1)) -> b(b)(x1) 43.28/11.90 b(b)(b(c)(x1)) -> b(c)(x1) 43.28/11.90 a(a)(a(f6)(x1)) -> a(f6)(x1) 43.28/11.90 a(a)(a(a)(x1)) -> a(a)(x1) 43.28/11.90 a(a)(a(b)(x1)) -> a(b)(x1) 43.28/11.90 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(f6)(x1))))) 43.28/11.90 a(a)(a(b)(b(a)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(a)(x1))))) 43.28/11.90 a(a)(a(b)(b(b)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(b)(x1))))) 43.28/11.90 a(a)(a(b)(b(c)(x1))) -> a(c)(c(a)(a(a)(a(c)(c(c)(x1))))) 43.28/11.90 c(b)(b(f6)(x1)) -> c(f6)(x1) 43.28/11.90 c(b)(b(a)(x1)) -> c(a)(x1) 43.28/11.90 c(b)(b(b)(x1)) -> c(b)(x1) 43.28/11.90 c(b)(b(c)(x1)) -> c(c)(x1) 43.28/11.90 f6(a)(a(a)(x1)) -> f6(a)(x1) 43.28/11.90 Qed 43.28/11.91 EOF