41.53/11.00 YES 41.83/11.01 41.83/11.01 Problem: 41.83/11.01 a(b(c(x1))) -> c(b(a(a(c(b(x1)))))) 41.83/11.01 a(x1) -> x1 41.83/11.01 b(x1) -> x1 41.83/11.01 c(x1) -> x1 41.83/11.01 41.83/11.01 Proof: 41.83/11.01 DP Processor: 41.83/11.01 DPs: 41.83/11.01 a#(b(c(x1))) -> b#(x1) 41.83/11.01 a#(b(c(x1))) -> c#(b(x1)) 41.83/11.01 a#(b(c(x1))) -> a#(c(b(x1))) 41.83/11.01 a#(b(c(x1))) -> a#(a(c(b(x1)))) 41.83/11.01 a#(b(c(x1))) -> b#(a(a(c(b(x1))))) 41.83/11.01 a#(b(c(x1))) -> c#(b(a(a(c(b(x1)))))) 41.83/11.01 TRS: 41.83/11.01 a(b(c(x1))) -> c(b(a(a(c(b(x1)))))) 41.83/11.01 a(x1) -> x1 41.83/11.01 b(x1) -> x1 41.83/11.01 c(x1) -> x1 41.83/11.01 TDG Processor: 41.83/11.01 DPs: 41.83/11.01 a#(b(c(x1))) -> b#(x1) 41.83/11.01 a#(b(c(x1))) -> c#(b(x1)) 41.83/11.01 a#(b(c(x1))) -> a#(c(b(x1))) 41.83/11.01 a#(b(c(x1))) -> a#(a(c(b(x1)))) 41.83/11.01 a#(b(c(x1))) -> b#(a(a(c(b(x1))))) 41.83/11.01 a#(b(c(x1))) -> c#(b(a(a(c(b(x1)))))) 41.83/11.01 TRS: 41.83/11.01 a(b(c(x1))) -> c(b(a(a(c(b(x1)))))) 41.83/11.01 a(x1) -> x1 41.83/11.01 b(x1) -> x1 41.83/11.01 c(x1) -> x1 41.83/11.01 graph: 41.83/11.01 a#(b(c(x1))) -> a#(a(c(b(x1)))) -> 41.83/11.01 a#(b(c(x1))) -> c#(b(a(a(c(b(x1)))))) 41.83/11.01 a#(b(c(x1))) -> a#(a(c(b(x1)))) -> 41.83/11.01 a#(b(c(x1))) -> b#(a(a(c(b(x1))))) 41.83/11.01 a#(b(c(x1))) -> a#(a(c(b(x1)))) -> 41.83/11.01 a#(b(c(x1))) -> a#(a(c(b(x1)))) 41.83/11.01 a#(b(c(x1))) -> a#(a(c(b(x1)))) -> a#(b(c(x1))) -> a#(c(b(x1))) 41.83/11.02 a#(b(c(x1))) -> a#(a(c(b(x1)))) -> a#(b(c(x1))) -> c#(b(x1)) 41.83/11.02 a#(b(c(x1))) -> a#(a(c(b(x1)))) -> a#(b(c(x1))) -> b#(x1) 41.83/11.02 a#(b(c(x1))) -> a#(c(b(x1))) -> 41.83/11.02 a#(b(c(x1))) -> c#(b(a(a(c(b(x1)))))) 41.83/11.02 a#(b(c(x1))) -> a#(c(b(x1))) -> a#(b(c(x1))) -> b#(a(a(c(b(x1))))) 41.83/11.02 a#(b(c(x1))) -> a#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(c(b(x1)))) 41.83/11.02 a#(b(c(x1))) -> a#(c(b(x1))) -> a#(b(c(x1))) -> a#(c(b(x1))) 41.83/11.02 a#(b(c(x1))) -> a#(c(b(x1))) -> a#(b(c(x1))) -> c#(b(x1)) 41.83/11.02 a#(b(c(x1))) -> a#(c(b(x1))) -> a#(b(c(x1))) -> b#(x1) 41.83/11.02 SCC Processor: 41.83/11.02 #sccs: 1 41.83/11.02 #rules: 2 41.83/11.02 #arcs: 12/36 41.83/11.02 DPs: 41.83/11.02 a#(b(c(x1))) -> a#(a(c(b(x1)))) 41.83/11.02 a#(b(c(x1))) -> a#(c(b(x1))) 41.83/11.02 TRS: 41.83/11.02 a(b(c(x1))) -> c(b(a(a(c(b(x1)))))) 41.83/11.02 a(x1) -> x1 41.83/11.02 b(x1) -> x1 41.83/11.02 c(x1) -> x1 41.83/11.02 Root-Labeling Processor: 41.83/11.02 DPs: 41.83/11.02 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(f6)(x1))))) 41.83/11.02 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(a)(x1))))) 41.83/11.02 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(b)(x1))))) 41.83/11.02 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(c)(x1))))) 41.83/11.02 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(f6)(x1)))) 41.83/11.02 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(a)(x1)))) 41.83/11.02 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(b)(x1)))) 41.83/11.02 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(c)(x1)))) 41.83/11.02 TRS: 41.83/11.02 f6(a)(a(b)(b(c)(c(f6)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 41.83/11.02 f6(a)(a(b)(b(c)(c(a)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 41.83/11.02 f6(a)(a(b)(b(c)(c(b)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 41.83/11.02 f6(a)(a(b)(b(c)(c(c)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 41.83/11.02 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 41.83/11.02 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 41.83/11.02 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 41.83/11.02 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 41.83/11.02 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 41.83/11.02 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 41.83/11.02 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 41.83/11.02 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 41.83/11.02 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 41.83/11.02 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 41.83/11.02 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 41.83/11.02 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 41.83/11.02 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 41.83/11.02 f6(a)(a(a)(x1)) -> f6(a)(x1) 41.83/11.02 f6(a)(a(b)(x1)) -> f6(b)(x1) 41.83/11.02 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.83/11.02 a(a)(a(f6)(x1)) -> a(f6)(x1) 41.83/11.02 a(a)(a(a)(x1)) -> a(a)(x1) 41.83/11.02 a(a)(a(b)(x1)) -> a(b)(x1) 41.83/11.02 a(a)(a(c)(x1)) -> a(c)(x1) 41.83/11.02 b(a)(a(f6)(x1)) -> b(f6)(x1) 72.36/41.60 b(a)(a(a)(x1)) -> b(a)(x1) 72.36/41.60 b(a)(a(b)(x1)) -> b(b)(x1) 72.36/41.60 b(a)(a(c)(x1)) -> b(c)(x1) 72.36/41.60 c(a)(a(f6)(x1)) -> c(f6)(x1) 72.36/41.60 c(a)(a(a)(x1)) -> c(a)(x1) 72.36/41.60 c(a)(a(b)(x1)) -> c(b)(x1) 72.36/41.60 c(a)(a(c)(x1)) -> c(c)(x1) 72.36/41.60 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 72.36/41.60 f6(b)(b(a)(x1)) -> f6(a)(x1) 72.36/41.60 f6(b)(b(b)(x1)) -> f6(b)(x1) 72.36/41.60 f6(b)(b(c)(x1)) -> f6(c)(x1) 72.36/41.60 a(b)(b(f6)(x1)) -> a(f6)(x1) 72.36/41.60 a(b)(b(a)(x1)) -> a(a)(x1) 72.36/41.60 a(b)(b(b)(x1)) -> a(b)(x1) 72.36/41.60 a(b)(b(c)(x1)) -> a(c)(x1) 72.36/41.60 b(b)(b(f6)(x1)) -> b(f6)(x1) 72.36/41.60 b(b)(b(a)(x1)) -> b(a)(x1) 72.36/41.60 b(b)(b(b)(x1)) -> b(b)(x1) 72.36/41.60 b(b)(b(c)(x1)) -> b(c)(x1) 72.36/41.60 c(b)(b(f6)(x1)) -> c(f6)(x1) 72.36/41.60 c(b)(b(a)(x1)) -> c(a)(x1) 72.36/41.60 c(b)(b(b)(x1)) -> c(b)(x1) 72.36/41.60 c(b)(b(c)(x1)) -> c(c)(x1) 72.36/41.60 f6(c)(c(f6)(x1)) -> f6(f6)(x1) 72.36/41.60 f6(c)(c(a)(x1)) -> f6(a)(x1) 72.36/41.60 f6(c)(c(b)(x1)) -> f6(b)(x1) 72.36/41.60 f6(c)(c(c)(x1)) -> f6(c)(x1) 72.36/41.60 a(c)(c(f6)(x1)) -> a(f6)(x1) 72.36/41.60 a(c)(c(a)(x1)) -> a(a)(x1) 72.36/41.60 a(c)(c(b)(x1)) -> a(b)(x1) 72.36/41.61 a(c)(c(c)(x1)) -> a(c)(x1) 72.36/41.61 b(c)(c(f6)(x1)) -> b(f6)(x1) 72.36/41.61 b(c)(c(a)(x1)) -> b(a)(x1) 72.36/41.61 b(c)(c(b)(x1)) -> b(b)(x1) 72.36/41.61 b(c)(c(c)(x1)) -> b(c)(x1) 72.36/41.61 c(c)(c(f6)(x1)) -> c(f6)(x1) 72.36/41.61 c(c)(c(a)(x1)) -> c(a)(x1) 72.36/41.61 c(c)(c(b)(x1)) -> c(b)(x1) 72.36/41.61 c(c)(c(c)(x1)) -> c(c)(x1) 72.36/41.61 Polynomial Interpretation Processor: 72.36/41.61 dimension: 1 72.36/41.61 interpretation: 72.36/41.61 [f6(f6)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [a(f6)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [a(a)](x0) = x0, 72.36/41.61 72.36/41.61 [a(b)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [f6(c)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [c(c)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [b(b)](x0) = x0, 72.36/41.61 72.36/41.61 [b(a)](x0) = x0, 72.36/41.61 72.36/41.61 [c(a)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [b(f6)](x0) = x0, 72.36/41.61 72.36/41.61 [c(b)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [a(c)](x0) = x0, 72.36/41.61 72.36/41.61 [f6(a)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [c(f6)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [b(c)](x0) = x0, 72.36/41.61 72.36/41.61 [f6(b)](x0) = x0 + 1, 72.36/41.61 72.36/41.61 [a{#,(f6)}](x0) = x0 + 1 72.36/41.61 orientation: 72.36/41.61 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(f6)(x1))))) 72.36/41.61 72.36/41.61 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(a)(x1))))) 72.36/41.61 72.36/41.61 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(b)(x1))))) 72.36/41.61 72.36/41.61 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(c)(x1))))) 72.36/41.61 72.36/41.61 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(c)(c(b)(b(f6)(x1)))) 72.36/41.61 72.36/41.61 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(c)(c(b)(b(a)(x1)))) 72.36/41.61 72.36/41.61 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(c)(c(b)(b(b)(x1)))) 72.36/41.61 72.36/41.61 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 + 3 >= x1 + 3 = a{#,(f6)}(f6(c)(c(b)(b(c)(x1)))) 72.36/41.61 72.36/41.61 f6(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 3 >= x1 + 3 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 72.36/41.61 72.36/41.61 f6(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 3 >= x1 + 3 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 72.36/41.61 72.36/41.61 f6(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 3 >= x1 + 3 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 72.36/41.61 72.36/41.61 f6(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 3 >= x1 + 3 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 72.36/41.61 72.36/41.61 a(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 72.36/41.61 72.36/41.61 a(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 72.36/41.61 72.36/41.61 a(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 72.36/41.61 72.36/41.61 a(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 72.36/41.61 72.36/41.61 b(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 2 >= x1 + 2 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 72.36/41.61 72.36/41.61 b(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 2 >= x1 + 2 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 72.36/41.61 72.36/41.61 b(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 72.36/41.61 72.36/41.61 b(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 2 >= x1 + 2 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 82.47/51.67 82.47/51.67 c(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 82.47/51.67 82.47/51.67 c(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 82.47/51.67 82.47/51.67 c(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 82.47/51.67 82.47/51.67 c(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 82.47/51.67 82.47/51.67 f6(a)(a(f6)(x1)) = x1 + 2 >= x1 + 1 = f6(f6)(x1) 82.47/51.67 82.47/51.67 f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 82.47/51.67 82.47/51.67 f6(a)(a(b)(x1)) = x1 + 2 >= x1 + 1 = f6(b)(x1) 82.47/51.67 82.47/51.67 f6(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1) 82.47/51.67 82.47/51.67 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 82.47/51.67 82.47/51.67 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 82.47/51.67 82.47/51.67 a(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 82.47/51.67 82.47/51.67 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 82.47/51.67 82.47/51.67 b(a)(a(f6)(x1)) = x1 + 1 >= x1 = b(f6)(x1) 82.47/51.67 82.47/51.67 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 82.47/51.67 82.47/51.67 b(a)(a(b)(x1)) = x1 + 1 >= x1 = b(b)(x1) 82.47/51.67 82.47/51.67 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 82.47/51.67 82.47/51.67 c(a)(a(f6)(x1)) = x1 + 2 >= x1 + 1 = c(f6)(x1) 82.47/51.67 82.47/51.67 c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 82.47/51.67 82.47/51.67 c(a)(a(b)(x1)) = x1 + 2 >= x1 + 1 = c(b)(x1) 82.47/51.67 82.47/51.67 c(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 82.47/51.67 82.47/51.67 f6(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = f6(f6)(x1) 82.47/51.67 82.47/51.67 f6(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 82.47/51.67 82.47/51.67 f6(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1) 82.47/51.67 82.47/51.67 f6(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = f6(c)(x1) 82.47/51.67 82.47/51.67 a(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 82.47/51.67 82.47/51.67 a(b)(b(a)(x1)) = x1 + 1 >= x1 = a(a)(x1) 82.47/51.67 82.47/51.67 a(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 82.47/51.67 82.47/51.67 a(b)(b(c)(x1)) = x1 + 1 >= x1 = a(c)(x1) 82.47/51.67 82.47/51.67 b(b)(b(f6)(x1)) = x1 >= x1 = b(f6)(x1) 82.47/51.67 82.47/51.67 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 82.47/51.67 82.47/51.67 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 82.47/51.67 82.47/51.67 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 82.47/51.67 82.47/51.67 c(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 82.47/51.67 82.47/51.67 c(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 82.47/51.67 82.47/51.67 c(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 82.47/51.67 82.47/51.67 c(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 82.47/51.67 82.47/51.67 f6(c)(c(f6)(x1)) = x1 + 2 >= x1 + 1 = f6(f6)(x1) 82.47/51.67 82.47/51.67 f6(c)(c(a)(x1)) = x1 + 2 >= x1 + 1 = f6(a)(x1) 82.47/51.67 82.47/51.67 f6(c)(c(b)(x1)) = x1 + 2 >= x1 + 1 = f6(b)(x1) 82.47/51.67 82.47/51.67 f6(c)(c(c)(x1)) = x1 + 2 >= x1 + 1 = f6(c)(x1) 82.47/51.67 82.47/51.67 a(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 82.47/51.67 82.47/51.67 a(c)(c(a)(x1)) = x1 + 1 >= x1 = a(a)(x1) 82.47/51.67 82.47/51.67 a(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 82.47/51.67 82.47/51.67 a(c)(c(c)(x1)) = x1 + 1 >= x1 = a(c)(x1) 82.47/51.67 82.47/51.67 b(c)(c(f6)(x1)) = x1 + 1 >= x1 = b(f6)(x1) 82.47/51.67 82.47/51.67 b(c)(c(a)(x1)) = x1 + 1 >= x1 = b(a)(x1) 82.47/51.67 82.47/51.67 b(c)(c(b)(x1)) = x1 + 1 >= x1 = b(b)(x1) 82.47/51.67 82.47/51.67 b(c)(c(c)(x1)) = x1 + 1 >= x1 = b(c)(x1) 82.47/51.67 82.47/51.67 c(c)(c(f6)(x1)) = x1 + 2 >= x1 + 1 = c(f6)(x1) 82.47/51.67 82.47/51.67 c(c)(c(a)(x1)) = x1 + 2 >= x1 + 1 = c(a)(x1) 82.47/51.67 82.47/51.67 c(c)(c(b)(x1)) = x1 + 2 >= x1 + 1 = c(b)(x1) 82.47/51.67 82.47/51.67 c(c)(c(c)(x1)) = x1 + 2 >= x1 + 1 = c(c)(x1) 82.47/51.67 problem: 82.47/51.67 DPs: 82.47/51.67 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(f6)(x1))))) 82.47/51.67 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(a)(x1))))) 82.47/51.67 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(b)(x1))))) 82.47/51.67 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(c)(x1))))) 82.47/51.67 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(f6)(x1)))) 82.47/51.67 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(a)(x1)))) 82.47/51.67 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(b)(x1)))) 82.47/51.67 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(c)(x1)))) 82.47/51.67 TRS: 82.47/51.67 f6(a)(a(b)(b(c)(c(f6)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 82.48/51.68 f6(a)(a(b)(b(c)(c(a)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 82.48/51.68 f6(a)(a(b)(b(c)(c(b)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 82.48/51.68 f6(a)(a(b)(b(c)(c(c)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 82.48/51.68 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 82.48/51.68 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 82.48/51.68 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 82.48/51.68 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 82.48/51.68 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 82.48/51.68 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 82.48/51.68 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 82.48/51.68 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 82.48/51.68 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 82.48/51.68 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 82.48/51.68 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 82.48/51.68 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 82.48/51.68 f6(a)(a(a)(x1)) -> f6(a)(x1) 82.48/51.68 f6(a)(a(c)(x1)) -> f6(c)(x1) 82.48/51.68 a(a)(a(f6)(x1)) -> a(f6)(x1) 82.48/51.68 a(a)(a(a)(x1)) -> a(a)(x1) 82.48/51.68 a(a)(a(b)(x1)) -> a(b)(x1) 82.48/51.68 a(a)(a(c)(x1)) -> a(c)(x1) 82.48/51.68 b(a)(a(a)(x1)) -> b(a)(x1) 82.48/51.68 b(a)(a(c)(x1)) -> b(c)(x1) 82.48/51.68 c(a)(a(a)(x1)) -> c(a)(x1) 82.48/51.68 c(a)(a(c)(x1)) -> c(c)(x1) 82.48/51.68 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 82.48/51.68 f6(b)(b(a)(x1)) -> f6(a)(x1) 82.48/51.68 f6(b)(b(b)(x1)) -> f6(b)(x1) 82.48/51.68 f6(b)(b(c)(x1)) -> f6(c)(x1) 82.48/51.68 a(b)(b(f6)(x1)) -> a(f6)(x1) 82.48/51.68 a(b)(b(b)(x1)) -> a(b)(x1) 82.48/51.68 b(b)(b(f6)(x1)) -> b(f6)(x1) 82.48/51.68 b(b)(b(a)(x1)) -> b(a)(x1) 82.48/51.68 b(b)(b(b)(x1)) -> b(b)(x1) 82.48/51.68 b(b)(b(c)(x1)) -> b(c)(x1) 82.48/51.68 c(b)(b(f6)(x1)) -> c(f6)(x1) 82.48/51.68 c(b)(b(a)(x1)) -> c(a)(x1) 82.48/51.68 c(b)(b(b)(x1)) -> c(b)(x1) 82.48/51.68 c(b)(b(c)(x1)) -> c(c)(x1) 82.48/51.68 a(c)(c(f6)(x1)) -> a(f6)(x1) 82.48/51.68 a(c)(c(b)(x1)) -> a(b)(x1) 82.48/51.68 Usable Rule Processor: 82.48/51.68 DPs: 82.48/51.68 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(f6)(x1))))) 82.48/51.68 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(a)(x1))))) 82.48/51.68 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(b)(x1))))) 82.48/51.68 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(c)(x1))))) 82.48/51.68 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(f6)(x1)))) 82.48/51.68 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(a)(x1)))) 82.48/51.68 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(b)(x1)))) 82.48/51.68 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(c)(c(b)(b(c)(x1)))) 82.48/51.68 TRS: 82.48/51.68 c(b)(b(f6)(x1)) -> c(f6)(x1) 82.48/51.68 a(c)(c(f6)(x1)) -> a(f6)(x1) 82.48/51.68 a(c)(c(b)(x1)) -> a(b)(x1) 82.48/51.68 a(b)(b(f6)(x1)) -> a(f6)(x1) 82.48/51.68 a(b)(b(b)(x1)) -> a(b)(x1) 82.48/51.68 f6(a)(a(b)(b(c)(c(f6)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 82.48/51.68 f6(a)(a(b)(b(c)(c(a)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 82.48/51.68 f6(a)(a(b)(b(c)(c(b)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 82.48/51.68 f6(a)(a(b)(b(c)(c(c)(x1)))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 82.48/51.68 f6(a)(a(a)(x1)) -> f6(a)(x1) 82.48/51.68 f6(a)(a(c)(x1)) -> f6(c)(x1) 82.48/51.68 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 82.48/51.68 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 82.48/51.68 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 82.48/51.68 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 82.48/51.68 a(a)(a(f6)(x1)) -> a(f6)(x1) 82.48/51.68 a(a)(a(a)(x1)) -> a(a)(x1) 82.48/51.68 a(a)(a(b)(x1)) -> a(b)(x1) 82.48/51.68 a(a)(a(c)(x1)) -> a(c)(x1) 82.48/51.68 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 82.48/51.68 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 105.13/74.34 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 105.13/74.34 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 105.13/74.34 b(a)(a(a)(x1)) -> b(a)(x1) 105.13/74.34 b(a)(a(c)(x1)) -> b(c)(x1) 105.13/74.34 c(b)(b(a)(x1)) -> c(a)(x1) 105.13/74.34 c(b)(b(b)(x1)) -> c(b)(x1) 105.13/74.34 c(b)(b(c)(x1)) -> c(c)(x1) 105.13/74.34 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 105.13/74.34 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 105.13/74.34 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 105.13/74.34 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 105.13/74.34 c(a)(a(a)(x1)) -> c(a)(x1) 105.13/74.34 c(a)(a(c)(x1)) -> c(c)(x1) 105.13/74.34 b(b)(b(f6)(x1)) -> b(f6)(x1) 105.13/74.34 b(b)(b(a)(x1)) -> b(a)(x1) 105.13/74.34 b(b)(b(b)(x1)) -> b(b)(x1) 105.13/74.34 b(b)(b(c)(x1)) -> b(c)(x1) 105.13/74.34 Polynomial Interpretation Processor: 105.13/74.34 dimension: 1 105.13/74.34 interpretation: 105.13/74.34 [a(f6)](x0) = x0 + 1, 105.13/74.34 105.13/74.34 [a(a)](x0) = x0, 105.13/74.34 105.13/74.34 [a(b)](x0) = x0, 105.13/74.34 105.13/74.34 [f6(c)](x0) = x0, 105.13/74.34 105.13/74.34 [c(c)](x0) = x0, 105.13/74.34 105.13/74.34 [b(b)](x0) = x0, 105.13/74.34 105.13/74.34 [b(a)](x0) = x0, 105.13/74.34 105.13/74.34 [c(a)](x0) = x0, 105.13/74.34 105.13/74.34 [b(f6)](x0) = x0 + 1, 105.13/74.34 105.13/74.34 [c(b)](x0) = x0, 105.13/74.34 105.13/74.34 [a(c)](x0) = x0, 105.13/74.34 105.13/74.34 [f6(a)](x0) = x0 + 1, 105.13/74.34 105.13/74.34 [c(f6)](x0) = x0 + 1, 105.13/74.34 105.13/74.34 [b(c)](x0) = x0, 105.13/74.34 105.13/74.34 [f6(b)](x0) = x0 + 1, 105.13/74.34 105.13/74.34 [a{#,(f6)}](x0) = x0 105.13/74.34 orientation: 105.13/74.34 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(f6)(x1))))) 105.13/74.34 105.13/74.34 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(a)(x1))))) 105.13/74.34 105.13/74.34 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(b)(x1))))) 105.13/74.34 105.13/74.34 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(c)(x1))))) 105.13/74.34 105.13/74.34 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(c)(c(b)(b(f6)(x1)))) 105.13/74.34 105.13/74.34 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(c)(c(b)(b(a)(x1)))) 105.13/74.34 105.13/74.34 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(c)(c(b)(b(b)(x1)))) 105.13/74.34 105.13/74.34 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(c)(c(b)(b(c)(x1)))) 105.13/74.34 105.13/74.34 c(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 105.13/74.34 105.13/74.34 a(c)(c(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 105.13/74.34 105.13/74.34 a(c)(c(b)(x1)) = x1 >= x1 = a(b)(x1) 105.13/74.34 105.13/74.34 a(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 105.13/74.34 105.13/74.34 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 105.13/74.34 105.13/74.34 f6(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 2 >= x1 + 1 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 105.13/74.34 105.13/74.34 f6(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 105.13/74.34 105.13/74.34 f6(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 1 >= x1 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 105.13/74.34 105.13/74.34 f6(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 105.13/74.34 105.13/74.34 f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 105.13/74.34 105.13/74.34 f6(a)(a(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1) 105.13/74.34 105.13/74.34 a(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 105.13/74.34 105.13/74.34 a(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 105.13/74.34 105.13/74.34 a(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 105.13/74.34 105.13/74.34 a(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 105.13/74.34 105.13/74.34 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 105.13/74.34 105.13/74.34 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 105.13/74.34 105.13/74.34 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 105.13/74.34 105.13/74.34 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 105.13/74.34 105.13/74.34 b(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 122.65/91.86 122.65/91.86 b(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 122.65/91.86 122.65/91.86 b(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 122.65/91.86 122.65/91.86 b(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 122.65/91.86 122.65/91.86 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 122.65/91.86 122.65/91.86 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 122.65/91.86 122.65/91.86 c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1) 122.65/91.86 122.65/91.86 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 122.65/91.86 122.65/91.86 c(b)(b(c)(x1)) = x1 >= x1 = c(c)(x1) 122.65/91.86 122.65/91.86 c(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 122.65/91.86 122.65/91.86 c(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 122.65/91.86 122.65/91.86 c(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 122.65/91.86 122.65/91.86 c(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 122.65/91.86 122.65/91.86 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 122.65/91.86 122.65/91.86 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 122.65/91.86 122.65/91.86 b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 122.65/91.86 122.65/91.86 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 122.65/91.86 122.65/91.86 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 122.65/91.86 122.65/91.86 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 122.65/91.86 problem: 122.65/91.86 DPs: 122.65/91.86 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(f6)(x1))))) 122.65/91.86 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(a)(x1))))) 122.65/91.86 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(b)(x1))))) 122.65/91.86 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(c)(x1))))) 122.65/91.86 TRS: 122.65/91.86 c(b)(b(f6)(x1)) -> c(f6)(x1) 122.65/91.86 a(c)(c(f6)(x1)) -> a(f6)(x1) 122.65/91.86 a(c)(c(b)(x1)) -> a(b)(x1) 122.65/91.86 a(b)(b(f6)(x1)) -> a(f6)(x1) 122.65/91.86 a(b)(b(b)(x1)) -> a(b)(x1) 122.65/91.86 f6(a)(a(a)(x1)) -> f6(a)(x1) 122.65/91.86 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 122.65/91.86 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 122.65/91.86 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 122.65/91.86 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 122.65/91.86 a(a)(a(f6)(x1)) -> a(f6)(x1) 122.65/91.86 a(a)(a(a)(x1)) -> a(a)(x1) 122.65/91.86 a(a)(a(b)(x1)) -> a(b)(x1) 122.65/91.86 a(a)(a(c)(x1)) -> a(c)(x1) 122.65/91.86 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 122.65/91.86 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 122.65/91.86 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 122.65/91.86 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 122.65/91.86 b(a)(a(a)(x1)) -> b(a)(x1) 122.65/91.86 b(a)(a(c)(x1)) -> b(c)(x1) 122.65/91.86 c(b)(b(a)(x1)) -> c(a)(x1) 122.65/91.86 c(b)(b(b)(x1)) -> c(b)(x1) 122.65/91.86 c(b)(b(c)(x1)) -> c(c)(x1) 122.65/91.86 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 122.65/91.86 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 122.65/91.86 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 122.65/91.86 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 122.65/91.86 c(a)(a(a)(x1)) -> c(a)(x1) 122.65/91.86 c(a)(a(c)(x1)) -> c(c)(x1) 122.65/91.86 b(b)(b(f6)(x1)) -> b(f6)(x1) 122.65/91.86 b(b)(b(a)(x1)) -> b(a)(x1) 122.65/91.86 b(b)(b(b)(x1)) -> b(b)(x1) 122.65/91.86 b(b)(b(c)(x1)) -> b(c)(x1) 122.65/91.86 Polynomial Interpretation Processor: 122.65/91.86 dimension: 1 122.65/91.86 interpretation: 122.65/91.86 [a(f6)](x0) = x0, 122.65/91.86 122.65/91.86 [a(a)](x0) = x0, 122.65/91.86 122.65/91.86 [a(b)](x0) = x0, 122.65/91.86 122.65/91.86 [c(c)](x0) = x0, 122.65/91.86 122.65/91.86 [b(b)](x0) = x0, 122.65/91.86 122.65/91.86 [b(a)](x0) = x0, 122.65/91.86 122.65/91.86 [c(a)](x0) = x0, 122.65/91.86 122.65/91.86 [b(f6)](x0) = x0 + 1, 122.65/91.86 122.65/91.86 [c(b)](x0) = x0, 122.65/91.86 122.65/91.86 [a(c)](x0) = x0, 152.99/122.20 152.99/122.20 [f6(a)](x0) = x0 + 1, 152.99/122.20 152.99/122.20 [c(f6)](x0) = x0 + 1, 152.99/122.20 152.99/122.20 [b(c)](x0) = x0, 152.99/122.20 152.99/122.20 [f6(b)](x0) = x0 + 1, 152.99/122.20 152.99/122.20 [a{#,(f6)}](x0) = x0 152.99/122.20 orientation: 152.99/122.20 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(f6)(x1))))) 152.99/122.20 152.99/122.20 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(a)(x1))))) 152.99/122.20 152.99/122.20 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(b)(x1))))) 152.99/122.20 152.99/122.20 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(c)(x1))))) 152.99/122.20 152.99/122.20 c(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 152.99/122.20 152.99/122.20 a(c)(c(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1) 152.99/122.20 152.99/122.20 a(c)(c(b)(x1)) = x1 >= x1 = a(b)(x1) 152.99/122.20 152.99/122.20 a(b)(b(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1) 152.99/122.20 152.99/122.20 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 152.99/122.20 152.99/122.20 f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 152.99/122.20 152.99/122.20 a(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 152.99/122.20 152.99/122.20 a(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 152.99/122.20 152.99/122.20 a(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 152.99/122.20 152.99/122.20 a(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 152.99/122.20 152.99/122.20 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 152.99/122.20 152.99/122.20 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 152.99/122.20 152.99/122.20 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 152.99/122.20 152.99/122.20 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 152.99/122.20 152.99/122.20 b(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 152.99/122.20 152.99/122.20 b(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 152.99/122.20 152.99/122.20 b(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 152.99/122.20 152.99/122.20 b(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 152.99/122.20 152.99/122.20 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 152.99/122.20 152.99/122.20 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 152.99/122.20 152.99/122.20 c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1) 152.99/122.20 152.99/122.20 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 152.99/122.20 152.99/122.20 c(b)(b(c)(x1)) = x1 >= x1 = c(c)(x1) 152.99/122.20 152.99/122.20 c(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 152.99/122.20 152.99/122.20 c(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 152.99/122.20 152.99/122.20 c(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 152.99/122.20 152.99/122.20 c(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 152.99/122.20 152.99/122.20 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 152.99/122.20 152.99/122.20 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 152.99/122.20 152.99/122.20 b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 152.99/122.20 152.99/122.20 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 152.99/122.20 152.99/122.20 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 152.99/122.20 152.99/122.20 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 152.99/122.20 problem: 152.99/122.20 DPs: 152.99/122.20 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(f6)(x1))))) 152.99/122.20 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(a)(x1))))) 152.99/122.20 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(b)(x1))))) 152.99/122.20 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(b(c)(x1))))) 152.99/122.20 TRS: 152.99/122.20 c(b)(b(f6)(x1)) -> c(f6)(x1) 152.99/122.20 a(c)(c(b)(x1)) -> a(b)(x1) 152.99/122.20 a(b)(b(b)(x1)) -> a(b)(x1) 152.99/122.20 f6(a)(a(a)(x1)) -> f6(a)(x1) 152.99/122.20 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 152.99/122.20 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 152.99/122.20 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 152.99/122.20 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 173.11/142.30 a(a)(a(f6)(x1)) -> a(f6)(x1) 173.11/142.30 a(a)(a(a)(x1)) -> a(a)(x1) 173.11/142.30 a(a)(a(b)(x1)) -> a(b)(x1) 173.11/142.30 a(a)(a(c)(x1)) -> a(c)(x1) 173.11/142.30 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 173.11/142.30 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 173.11/142.30 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 173.11/142.30 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 173.11/142.30 b(a)(a(a)(x1)) -> b(a)(x1) 173.11/142.30 b(a)(a(c)(x1)) -> b(c)(x1) 173.11/142.30 c(b)(b(a)(x1)) -> c(a)(x1) 173.11/142.30 c(b)(b(b)(x1)) -> c(b)(x1) 173.11/142.30 c(b)(b(c)(x1)) -> c(c)(x1) 173.11/142.30 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 173.11/142.30 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 173.11/142.30 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 173.11/142.30 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 173.11/142.30 c(a)(a(a)(x1)) -> c(a)(x1) 173.11/142.30 c(a)(a(c)(x1)) -> c(c)(x1) 173.11/142.30 b(b)(b(f6)(x1)) -> b(f6)(x1) 173.11/142.30 b(b)(b(a)(x1)) -> b(a)(x1) 173.11/142.30 b(b)(b(b)(x1)) -> b(b)(x1) 173.11/142.30 b(b)(b(c)(x1)) -> b(c)(x1) 173.11/142.30 Polynomial Interpretation Processor: 173.11/142.30 dimension: 1 173.11/142.30 interpretation: 173.11/142.30 [a(f6)](x0) = x0 + 1, 173.11/142.30 173.11/142.30 [a(a)](x0) = x0, 173.11/142.30 173.11/142.30 [a(b)](x0) = x0 + 1, 173.11/142.30 173.11/142.30 [c(c)](x0) = x0 + 1, 173.11/142.30 173.11/142.30 [b(b)](x0) = x0, 173.11/142.30 173.11/142.30 [b(a)](x0) = x0, 173.11/142.30 173.11/142.30 [c(a)](x0) = x0, 173.11/142.30 173.11/142.30 [b(f6)](x0) = x0 + 1, 173.11/142.30 173.11/142.30 [c(b)](x0) = x0, 173.11/142.30 173.11/142.30 [a(c)](x0) = x0 + 1, 173.11/142.30 173.11/142.30 [f6(a)](x0) = x0, 173.11/142.30 173.11/142.30 [c(f6)](x0) = x0 + 1, 173.11/142.30 173.11/142.30 [b(c)](x0) = x0 + 1, 173.11/142.30 173.11/142.30 [f6(b)](x0) = x0 + 1, 173.11/142.30 173.11/142.30 [a{#,(f6)}](x0) = x0 173.11/142.30 orientation: 173.11/142.30 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 + 3 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(f6)(x1))))) 173.11/142.30 173.11/142.30 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(a)(x1))))) 173.11/142.30 173.11/142.30 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(b)(x1))))) 173.11/142.30 173.11/142.30 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 + 3 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(b)(b(c)(x1))))) 173.11/142.30 173.11/142.30 c(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 173.11/142.30 173.11/142.30 a(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 173.11/142.30 173.11/142.30 a(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 173.11/142.30 173.11/142.30 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 173.11/142.30 173.11/142.30 a(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 3 >= x1 + 3 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 173.11/142.30 173.11/142.30 a(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 173.11/142.30 173.11/142.30 a(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 173.11/142.30 173.11/142.30 a(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 3 >= x1 + 3 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 173.11/142.30 173.11/142.30 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 173.11/142.30 173.11/142.30 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 173.11/142.30 173.11/142.30 a(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 173.11/142.30 173.11/142.30 a(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = a(c)(x1) 173.11/142.30 173.11/142.30 b(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 3 >= x1 + 3 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 173.11/142.30 173.11/142.30 b(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 2 >= x1 + 2 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 173.11/142.30 173.11/142.30 b(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 173.11/142.30 173.11/142.30 b(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 3 >= x1 + 3 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 173.11/142.30 173.11/142.30 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 173.11/142.30 173.11/142.30 b(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 183.08/152.32 183.08/152.32 c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1) 183.08/152.32 183.08/152.32 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 183.08/152.32 183.08/152.32 c(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 183.08/152.32 183.08/152.32 c(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 183.08/152.32 183.08/152.32 c(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 2 >= x1 + 2 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 183.08/152.32 183.08/152.32 c(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 183.08/152.32 183.08/152.32 c(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 183.08/152.32 183.08/152.32 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 183.08/152.32 183.08/152.32 c(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 183.08/152.32 183.08/152.32 b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 183.08/152.32 183.08/152.32 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 183.08/152.32 183.08/152.32 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 183.08/152.32 183.08/152.32 b(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 183.08/152.32 problem: 183.08/152.32 DPs: 183.08/152.32 183.08/152.32 TRS: 183.08/152.32 c(b)(b(f6)(x1)) -> c(f6)(x1) 183.08/152.32 a(c)(c(b)(x1)) -> a(b)(x1) 183.08/152.32 a(b)(b(b)(x1)) -> a(b)(x1) 183.08/152.32 f6(a)(a(a)(x1)) -> f6(a)(x1) 183.08/152.32 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 183.08/152.32 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 183.08/152.32 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 183.08/152.32 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 183.08/152.32 a(a)(a(f6)(x1)) -> a(f6)(x1) 183.08/152.32 a(a)(a(a)(x1)) -> a(a)(x1) 183.08/152.32 a(a)(a(b)(x1)) -> a(b)(x1) 183.08/152.32 a(a)(a(c)(x1)) -> a(c)(x1) 183.08/152.32 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 183.08/152.32 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 183.08/152.32 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 183.08/152.32 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 183.08/152.32 b(a)(a(a)(x1)) -> b(a)(x1) 183.08/152.32 b(a)(a(c)(x1)) -> b(c)(x1) 183.08/152.32 c(b)(b(a)(x1)) -> c(a)(x1) 183.08/152.32 c(b)(b(b)(x1)) -> c(b)(x1) 183.08/152.32 c(b)(b(c)(x1)) -> c(c)(x1) 183.08/152.32 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(f6)(x1))))))) 183.08/152.32 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(a)(x1))))))) 183.08/152.32 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(b)(x1))))))) 183.08/152.32 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(b(c)(x1))))))) 183.08/152.32 c(a)(a(a)(x1)) -> c(a)(x1) 183.08/152.32 c(a)(a(c)(x1)) -> c(c)(x1) 183.08/152.32 b(b)(b(f6)(x1)) -> b(f6)(x1) 183.08/152.32 b(b)(b(a)(x1)) -> b(a)(x1) 183.08/152.32 b(b)(b(b)(x1)) -> b(b)(x1) 183.08/152.32 b(b)(b(c)(x1)) -> b(c)(x1) 183.08/152.32 Qed 183.08/152.32 EOF