41.60/10.88 YES 41.60/10.89 41.60/10.89 Problem: 41.60/10.89 a(b(c(x1))) -> c(c(b(b(a(a(x1)))))) 41.60/10.89 a(x1) -> x1 41.60/10.89 b(x1) -> x1 41.60/10.89 c(x1) -> x1 41.60/10.89 41.60/10.89 Proof: 41.60/10.89 DP Processor: 41.60/10.89 DPs: 41.60/10.89 a#(b(c(x1))) -> a#(x1) 41.60/10.89 a#(b(c(x1))) -> a#(a(x1)) 41.60/10.89 a#(b(c(x1))) -> b#(a(a(x1))) 41.60/10.89 a#(b(c(x1))) -> b#(b(a(a(x1)))) 41.60/10.89 a#(b(c(x1))) -> c#(b(b(a(a(x1))))) 41.60/10.89 a#(b(c(x1))) -> c#(c(b(b(a(a(x1)))))) 41.60/10.89 TRS: 41.60/10.89 a(b(c(x1))) -> c(c(b(b(a(a(x1)))))) 41.60/10.89 a(x1) -> x1 41.60/10.89 b(x1) -> x1 41.60/10.89 c(x1) -> x1 41.60/10.89 TDG Processor: 41.60/10.89 DPs: 41.60/10.89 a#(b(c(x1))) -> a#(x1) 41.60/10.89 a#(b(c(x1))) -> a#(a(x1)) 41.60/10.89 a#(b(c(x1))) -> b#(a(a(x1))) 41.60/10.89 a#(b(c(x1))) -> b#(b(a(a(x1)))) 41.60/10.89 a#(b(c(x1))) -> c#(b(b(a(a(x1))))) 41.60/10.89 a#(b(c(x1))) -> c#(c(b(b(a(a(x1)))))) 41.60/10.89 TRS: 41.60/10.89 a(b(c(x1))) -> c(c(b(b(a(a(x1)))))) 41.60/10.89 a(x1) -> x1 41.60/10.89 b(x1) -> x1 41.60/10.89 c(x1) -> x1 41.60/10.89 graph: 41.60/10.89 a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> c#(c(b(b(a(a(x1)))))) 41.60/10.89 a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> c#(b(b(a(a(x1))))) 41.60/10.89 a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> b#(b(a(a(x1)))) 41.60/10.89 a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> b#(a(a(x1))) 41.60/10.89 a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> a#(a(x1)) 41.60/10.89 a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> a#(x1) 41.60/10.89 a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> c#(c(b(b(a(a(x1)))))) 41.60/10.89 a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> c#(b(b(a(a(x1))))) 41.60/10.89 a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> b#(b(a(a(x1)))) 41.60/10.89 a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> b#(a(a(x1))) 41.60/10.89 a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> a#(a(x1)) 41.60/10.89 a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> a#(x1) 41.60/10.89 SCC Processor: 41.60/10.89 #sccs: 1 41.60/10.89 #rules: 2 41.60/10.89 #arcs: 12/36 41.60/10.89 DPs: 41.60/10.89 a#(b(c(x1))) -> a#(a(x1)) 41.60/10.89 a#(b(c(x1))) -> a#(x1) 41.60/10.89 TRS: 41.60/10.89 a(b(c(x1))) -> c(c(b(b(a(a(x1)))))) 41.60/10.89 a(x1) -> x1 41.60/10.89 b(x1) -> x1 41.60/10.89 c(x1) -> x1 41.60/10.89 Root-Labeling Processor: 41.60/10.89 DPs: 41.60/10.89 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(a)(a(f6)(x1))) 41.60/10.89 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(a(a)(x1))) 41.60/10.89 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(a)(a(b)(x1))) 41.60/10.89 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(x1))) 41.60/10.89 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(f6)(x1)) 41.60/10.89 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(x1)) 41.60/10.89 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(b)(x1)) 41.60/10.89 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(c)(x1)) 41.60/10.89 TRS: 41.60/10.89 f6(a)(a(b)(b(c)(c(f6)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 41.60/10.89 f6(a)(a(b)(b(c)(c(a)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 41.60/10.89 f6(a)(a(b)(b(c)(c(b)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 41.60/10.89 f6(a)(a(b)(b(c)(c(c)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 41.60/10.89 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 41.60/10.89 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 41.60/10.89 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 41.60/10.89 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 41.60/10.89 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 41.60/10.89 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 41.60/10.89 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 41.60/10.89 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 41.60/10.89 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 41.60/10.89 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 41.60/10.89 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 41.60/10.89 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 41.60/10.89 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 41.60/10.89 f6(a)(a(a)(x1)) -> f6(a)(x1) 41.60/10.89 f6(a)(a(b)(x1)) -> f6(b)(x1) 41.60/10.89 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.60/10.89 a(a)(a(f6)(x1)) -> a(f6)(x1) 41.60/10.89 a(a)(a(a)(x1)) -> a(a)(x1) 41.60/10.89 a(a)(a(b)(x1)) -> a(b)(x1) 41.60/10.89 a(a)(a(c)(x1)) -> a(c)(x1) 41.60/10.89 b(a)(a(f6)(x1)) -> b(f6)(x1) 41.60/10.89 b(a)(a(a)(x1)) -> b(a)(x1) 41.60/10.89 b(a)(a(b)(x1)) -> b(b)(x1) 41.60/10.89 b(a)(a(c)(x1)) -> b(c)(x1) 41.60/10.89 c(a)(a(f6)(x1)) -> c(f6)(x1) 41.60/10.89 c(a)(a(a)(x1)) -> c(a)(x1) 41.60/10.89 c(a)(a(b)(x1)) -> c(b)(x1) 79.42/48.64 c(a)(a(c)(x1)) -> c(c)(x1) 79.42/48.64 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 79.42/48.64 f6(b)(b(a)(x1)) -> f6(a)(x1) 79.42/48.64 f6(b)(b(b)(x1)) -> f6(b)(x1) 79.42/48.64 f6(b)(b(c)(x1)) -> f6(c)(x1) 79.42/48.64 a(b)(b(f6)(x1)) -> a(f6)(x1) 79.42/48.64 a(b)(b(a)(x1)) -> a(a)(x1) 79.42/48.64 a(b)(b(b)(x1)) -> a(b)(x1) 79.42/48.64 a(b)(b(c)(x1)) -> a(c)(x1) 79.42/48.64 b(b)(b(f6)(x1)) -> b(f6)(x1) 79.42/48.64 b(b)(b(a)(x1)) -> b(a)(x1) 79.42/48.64 b(b)(b(b)(x1)) -> b(b)(x1) 79.42/48.64 b(b)(b(c)(x1)) -> b(c)(x1) 79.42/48.64 c(b)(b(f6)(x1)) -> c(f6)(x1) 79.42/48.64 c(b)(b(a)(x1)) -> c(a)(x1) 79.42/48.64 c(b)(b(b)(x1)) -> c(b)(x1) 79.42/48.64 c(b)(b(c)(x1)) -> c(c)(x1) 79.42/48.64 f6(c)(c(f6)(x1)) -> f6(f6)(x1) 79.42/48.64 f6(c)(c(a)(x1)) -> f6(a)(x1) 79.42/48.64 f6(c)(c(b)(x1)) -> f6(b)(x1) 79.42/48.64 f6(c)(c(c)(x1)) -> f6(c)(x1) 79.42/48.64 a(c)(c(f6)(x1)) -> a(f6)(x1) 79.42/48.64 a(c)(c(a)(x1)) -> a(a)(x1) 79.42/48.64 a(c)(c(b)(x1)) -> a(b)(x1) 79.42/48.64 a(c)(c(c)(x1)) -> a(c)(x1) 79.42/48.64 b(c)(c(f6)(x1)) -> b(f6)(x1) 79.42/48.64 b(c)(c(a)(x1)) -> b(a)(x1) 79.42/48.64 b(c)(c(b)(x1)) -> b(b)(x1) 79.42/48.64 b(c)(c(c)(x1)) -> b(c)(x1) 79.42/48.64 c(c)(c(f6)(x1)) -> c(f6)(x1) 79.42/48.64 c(c)(c(a)(x1)) -> c(a)(x1) 79.42/48.64 c(c)(c(b)(x1)) -> c(b)(x1) 79.42/48.64 c(c)(c(c)(x1)) -> c(c)(x1) 79.42/48.64 Polynomial Interpretation Processor: 79.42/48.64 dimension: 1 79.42/48.64 interpretation: 79.42/48.64 [b(f6)](x0) = x0, 79.42/48.64 79.42/48.64 [b(a)](x0) = x0, 79.42/48.64 79.42/48.64 [b(b)](x0) = x0, 79.42/48.64 79.42/48.64 [f6(c)](x0) = x0, 79.42/48.64 79.42/48.64 [f6(f6)](x0) = x0, 79.42/48.64 79.42/48.64 [a(c)](x0) = x0, 79.42/48.64 79.42/48.64 [c(c)](x0) = x0, 79.42/48.64 79.42/48.64 [a(b)](x0) = x0 + 1, 79.42/48.64 79.42/48.64 [c(b)](x0) = x0 + 1, 79.42/48.64 79.42/48.64 [a(a)](x0) = x0, 79.42/48.64 79.42/48.64 [c(a)](x0) = x0, 79.42/48.64 79.42/48.64 [a(f6)](x0) = x0, 79.42/48.64 79.42/48.64 [f6(a)](x0) = x0, 79.42/48.64 79.42/48.64 [c(f6)](x0) = x0, 79.42/48.64 79.42/48.64 [b(c)](x0) = x0, 79.42/48.64 79.42/48.64 [f6(b)](x0) = x0, 79.42/48.64 79.42/48.64 [a{#,(f6)}](x0) = x0 79.42/48.64 orientation: 79.42/48.64 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(f6)(x1))) 79.42/48.64 79.42/48.64 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(a)(x1))) 79.42/48.64 79.42/48.64 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(b)(x1))) 79.42/48.64 79.42/48.64 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(x1))) 79.42/48.64 79.42/48.64 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 >= x1 = a{#,(f6)}(f6(f6)(x1)) 79.42/48.64 79.42/48.64 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 >= x1 = a{#,(f6)}(f6(a)(x1)) 79.42/48.64 79.42/48.64 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(b)(x1)) 79.42/48.64 79.42/48.64 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 >= x1 = a{#,(f6)}(f6(c)(x1)) 79.42/48.64 79.42/48.64 f6(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 79.42/48.64 79.42/48.64 f6(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 + 1 = f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 79.42/48.64 79.42/48.64 f6(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 79.42/48.64 79.42/48.64 f6(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 + 1 = f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 79.42/48.64 79.42/48.64 a(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 79.42/48.64 79.42/48.64 a(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 + 1 = a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 79.42/48.64 79.42/48.64 a(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 79.42/48.64 79.42/48.64 a(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 + 1 = a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 79.42/48.64 79.42/48.64 b(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 79.42/48.64 79.42/48.64 b(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 + 1 = b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 79.42/48.64 79.42/48.64 b(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 79.42/48.64 79.42/48.64 b(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 + 1 = b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 79.42/48.64 79.42/48.64 c(a)(a(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 + 1 = c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 79.42/48.64 79.42/48.64 c(a)(a(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 + 1 = c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 79.42/48.64 79.42/48.64 c(a)(a(b)(b(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 81.99/51.16 81.99/51.16 c(a)(a(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 + 1 = c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 81.99/51.16 81.99/51.16 f6(a)(a(f6)(x1)) = x1 >= x1 = f6(f6)(x1) 81.99/51.16 81.99/51.16 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 81.99/51.16 81.99/51.16 f6(a)(a(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 81.99/51.16 81.99/51.16 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 81.99/51.16 81.99/51.16 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 81.99/51.16 81.99/51.16 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 81.99/51.16 81.99/51.16 a(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 81.99/51.16 81.99/51.16 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 81.99/51.16 81.99/51.16 b(a)(a(f6)(x1)) = x1 >= x1 = b(f6)(x1) 81.99/51.16 81.99/51.16 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 81.99/51.16 81.99/51.16 b(a)(a(b)(x1)) = x1 + 1 >= x1 = b(b)(x1) 81.99/51.16 81.99/51.16 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 81.99/51.16 81.99/51.16 c(a)(a(f6)(x1)) = x1 >= x1 = c(f6)(x1) 81.99/51.16 81.99/51.16 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 81.99/51.16 81.99/51.16 c(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 81.99/51.16 81.99/51.16 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 81.99/51.16 81.99/51.16 f6(b)(b(f6)(x1)) = x1 >= x1 = f6(f6)(x1) 81.99/51.16 81.99/51.16 f6(b)(b(a)(x1)) = x1 >= x1 = f6(a)(x1) 81.99/51.16 81.99/51.16 f6(b)(b(b)(x1)) = x1 >= x1 = f6(b)(x1) 81.99/51.16 81.99/51.16 f6(b)(b(c)(x1)) = x1 >= x1 = f6(c)(x1) 81.99/51.16 81.99/51.16 a(b)(b(f6)(x1)) = x1 + 1 >= x1 = a(f6)(x1) 81.99/51.16 81.99/51.16 a(b)(b(a)(x1)) = x1 + 1 >= x1 = a(a)(x1) 81.99/51.16 81.99/51.16 a(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 81.99/51.16 81.99/51.16 a(b)(b(c)(x1)) = x1 + 1 >= x1 = a(c)(x1) 81.99/51.16 81.99/51.16 b(b)(b(f6)(x1)) = x1 >= x1 = b(f6)(x1) 81.99/51.16 81.99/51.16 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 81.99/51.16 81.99/51.16 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 81.99/51.16 81.99/51.16 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 81.99/51.16 81.99/51.16 c(b)(b(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1) 81.99/51.16 81.99/51.16 c(b)(b(a)(x1)) = x1 + 1 >= x1 = c(a)(x1) 81.99/51.16 81.99/51.16 c(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 81.99/51.16 81.99/51.16 c(b)(b(c)(x1)) = x1 + 1 >= x1 = c(c)(x1) 81.99/51.16 81.99/51.16 f6(c)(c(f6)(x1)) = x1 >= x1 = f6(f6)(x1) 81.99/51.16 81.99/51.16 f6(c)(c(a)(x1)) = x1 >= x1 = f6(a)(x1) 81.99/51.16 81.99/51.16 f6(c)(c(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 81.99/51.16 81.99/51.16 f6(c)(c(c)(x1)) = x1 >= x1 = f6(c)(x1) 81.99/51.16 81.99/51.16 a(c)(c(f6)(x1)) = x1 >= x1 = a(f6)(x1) 81.99/51.16 81.99/51.16 a(c)(c(a)(x1)) = x1 >= x1 = a(a)(x1) 81.99/51.16 81.99/51.16 a(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 81.99/51.16 81.99/51.16 a(c)(c(c)(x1)) = x1 >= x1 = a(c)(x1) 81.99/51.16 81.99/51.16 b(c)(c(f6)(x1)) = x1 >= x1 = b(f6)(x1) 81.99/51.16 81.99/51.16 b(c)(c(a)(x1)) = x1 >= x1 = b(a)(x1) 81.99/51.16 81.99/51.16 b(c)(c(b)(x1)) = x1 + 1 >= x1 = b(b)(x1) 81.99/51.16 81.99/51.16 b(c)(c(c)(x1)) = x1 >= x1 = b(c)(x1) 81.99/51.16 81.99/51.16 c(c)(c(f6)(x1)) = x1 >= x1 = c(f6)(x1) 81.99/51.16 81.99/51.16 c(c)(c(a)(x1)) = x1 >= x1 = c(a)(x1) 81.99/51.16 81.99/51.16 c(c)(c(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 81.99/51.16 81.99/51.16 c(c)(c(c)(x1)) = x1 >= x1 = c(c)(x1) 81.99/51.16 problem: 81.99/51.16 DPs: 81.99/51.16 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(a)(a(f6)(x1))) 81.99/51.16 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(a(a)(x1))) 81.99/51.16 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(a)(a(b)(x1))) 81.99/51.16 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(x1))) 81.99/51.16 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(f6)(x1)) 81.99/51.16 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(x1)) 81.99/51.16 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(c)(x1)) 81.99/51.16 TRS: 81.99/51.16 f6(a)(a(b)(b(c)(c(f6)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 81.99/51.16 f6(a)(a(b)(b(c)(c(a)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 81.99/51.16 f6(a)(a(b)(b(c)(c(b)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 81.99/51.16 f6(a)(a(b)(b(c)(c(c)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 81.99/51.16 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 81.99/51.16 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 81.99/51.16 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 81.99/51.16 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 81.99/51.16 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 81.99/51.16 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 81.99/51.16 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 81.99/51.16 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 81.99/51.16 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 81.99/51.16 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 81.99/51.16 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 81.99/51.16 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 81.99/51.16 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 81.99/51.16 f6(a)(a(a)(x1)) -> f6(a)(x1) 81.99/51.16 f6(a)(a(c)(x1)) -> f6(c)(x1) 81.99/51.16 a(a)(a(f6)(x1)) -> a(f6)(x1) 81.99/51.16 a(a)(a(a)(x1)) -> a(a)(x1) 81.99/51.16 a(a)(a(b)(x1)) -> a(b)(x1) 81.99/51.16 a(a)(a(c)(x1)) -> a(c)(x1) 81.99/51.16 b(a)(a(f6)(x1)) -> b(f6)(x1) 81.99/51.16 b(a)(a(a)(x1)) -> b(a)(x1) 81.99/51.16 b(a)(a(c)(x1)) -> b(c)(x1) 81.99/51.16 c(a)(a(f6)(x1)) -> c(f6)(x1) 81.99/51.16 c(a)(a(a)(x1)) -> c(a)(x1) 81.99/51.16 c(a)(a(b)(x1)) -> c(b)(x1) 81.99/51.16 c(a)(a(c)(x1)) -> c(c)(x1) 81.99/51.17 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 81.99/51.17 f6(b)(b(a)(x1)) -> f6(a)(x1) 81.99/51.17 f6(b)(b(b)(x1)) -> f6(b)(x1) 81.99/51.17 f6(b)(b(c)(x1)) -> f6(c)(x1) 81.99/51.17 a(b)(b(b)(x1)) -> a(b)(x1) 81.99/51.17 b(b)(b(f6)(x1)) -> b(f6)(x1) 81.99/51.17 b(b)(b(a)(x1)) -> b(a)(x1) 81.99/51.17 b(b)(b(b)(x1)) -> b(b)(x1) 81.99/51.17 b(b)(b(c)(x1)) -> b(c)(x1) 81.99/51.17 c(b)(b(b)(x1)) -> c(b)(x1) 81.99/51.17 f6(c)(c(f6)(x1)) -> f6(f6)(x1) 81.99/51.17 f6(c)(c(a)(x1)) -> f6(a)(x1) 81.99/51.17 f6(c)(c(c)(x1)) -> f6(c)(x1) 81.99/51.17 a(c)(c(f6)(x1)) -> a(f6)(x1) 81.99/51.17 a(c)(c(a)(x1)) -> a(a)(x1) 81.99/51.17 a(c)(c(b)(x1)) -> a(b)(x1) 81.99/51.17 a(c)(c(c)(x1)) -> a(c)(x1) 81.99/51.17 b(c)(c(f6)(x1)) -> b(f6)(x1) 81.99/51.17 b(c)(c(a)(x1)) -> b(a)(x1) 81.99/51.17 b(c)(c(c)(x1)) -> b(c)(x1) 81.99/51.17 c(c)(c(f6)(x1)) -> c(f6)(x1) 81.99/51.17 c(c)(c(a)(x1)) -> c(a)(x1) 81.99/51.17 c(c)(c(b)(x1)) -> c(b)(x1) 81.99/51.17 c(c)(c(c)(x1)) -> c(c)(x1) 81.99/51.17 Usable Rule Processor: 81.99/51.17 DPs: 81.99/51.17 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(a)(a(f6)(x1))) 81.99/51.17 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(a(a)(x1))) 81.99/51.17 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(a)(a(b)(x1))) 81.99/51.17 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(x1))) 81.99/51.17 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(f6)(x1)) 81.99/51.17 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(x1)) 81.99/51.17 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(c)(x1)) 81.99/51.17 TRS: 81.99/51.17 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 81.99/51.17 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 81.99/51.17 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 81.99/51.17 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 81.99/51.17 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 81.99/51.17 a(a)(a(f6)(x1)) -> a(f6)(x1) 81.99/51.17 a(a)(a(a)(x1)) -> a(a)(x1) 81.99/51.17 a(a)(a(b)(x1)) -> a(b)(x1) 81.99/51.17 a(a)(a(c)(x1)) -> a(c)(x1) 81.99/51.17 a(c)(c(f6)(x1)) -> a(f6)(x1) 81.99/51.17 a(c)(c(a)(x1)) -> a(a)(x1) 81.99/51.17 a(c)(c(b)(x1)) -> a(b)(x1) 81.99/51.17 a(c)(c(c)(x1)) -> a(c)(x1) 81.99/51.17 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 81.99/51.17 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 81.99/51.17 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 81.99/51.17 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 81.99/51.17 b(a)(a(f6)(x1)) -> b(f6)(x1) 81.99/51.17 b(a)(a(a)(x1)) -> b(a)(x1) 81.99/51.17 b(a)(a(c)(x1)) -> b(c)(x1) 81.99/51.17 b(c)(c(f6)(x1)) -> b(f6)(x1) 81.99/51.17 b(c)(c(a)(x1)) -> b(a)(x1) 81.99/51.17 b(c)(c(c)(x1)) -> b(c)(x1) 81.99/51.17 b(b)(b(f6)(x1)) -> b(f6)(x1) 81.99/51.17 b(b)(b(a)(x1)) -> b(a)(x1) 81.99/51.17 b(b)(b(b)(x1)) -> b(b)(x1) 81.99/51.17 b(b)(b(c)(x1)) -> b(c)(x1) 81.99/51.17 a(b)(b(b)(x1)) -> a(b)(x1) 81.99/51.17 c(b)(b(b)(x1)) -> c(b)(x1) 81.99/51.17 c(c)(c(f6)(x1)) -> c(f6)(x1) 81.99/51.17 c(c)(c(a)(x1)) -> c(a)(x1) 81.99/51.17 c(c)(c(b)(x1)) -> c(b)(x1) 81.99/51.17 c(c)(c(c)(x1)) -> c(c)(x1) 81.99/51.17 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 102.05/71.23 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 102.05/71.23 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 102.05/71.23 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 102.05/71.23 c(a)(a(f6)(x1)) -> c(f6)(x1) 102.05/71.23 c(a)(a(a)(x1)) -> c(a)(x1) 102.05/71.23 c(a)(a(b)(x1)) -> c(b)(x1) 102.05/71.23 c(a)(a(c)(x1)) -> c(c)(x1) 102.05/71.23 f6(a)(a(b)(b(c)(c(f6)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 102.05/71.23 f6(a)(a(b)(b(c)(c(a)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 102.05/71.23 f6(a)(a(b)(b(c)(c(b)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 102.05/71.23 f6(a)(a(b)(b(c)(c(c)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 102.05/71.23 f6(a)(a(a)(x1)) -> f6(a)(x1) 102.05/71.23 f6(a)(a(c)(x1)) -> f6(c)(x1) 102.05/71.23 f6(c)(c(f6)(x1)) -> f6(f6)(x1) 102.05/71.23 f6(c)(c(a)(x1)) -> f6(a)(x1) 102.05/71.23 f6(c)(c(c)(x1)) -> f6(c)(x1) 102.05/71.23 Polynomial Interpretation Processor: 102.05/71.23 dimension: 1 102.05/71.23 interpretation: 102.05/71.23 [b(f6)](x0) = x0, 102.05/71.23 102.05/71.23 [b(a)](x0) = x0, 102.05/71.23 102.05/71.23 [b(b)](x0) = x0, 102.05/71.23 102.05/71.23 [f6(c)](x0) = x0, 102.05/71.23 102.05/71.23 [f6(f6)](x0) = x0, 102.05/71.23 102.05/71.23 [a(c)](x0) = x0, 102.05/71.23 102.05/71.23 [c(c)](x0) = x0, 102.05/71.23 102.05/71.23 [a(b)](x0) = x0, 102.05/71.23 102.05/71.23 [c(b)](x0) = x0, 102.05/71.23 102.05/71.23 [a(a)](x0) = x0, 102.05/71.23 102.05/71.23 [c(a)](x0) = x0, 102.05/71.23 102.05/71.23 [a(f6)](x0) = x0, 102.05/71.23 102.05/71.23 [f6(a)](x0) = x0, 102.05/71.23 102.05/71.23 [c(f6)](x0) = x0, 102.05/71.23 102.05/71.23 [b(c)](x0) = x0, 102.05/71.23 102.05/71.23 [f6(b)](x0) = x0 + 1, 102.05/71.23 102.05/71.23 [a{#,(f6)}](x0) = x0 102.05/71.23 orientation: 102.05/71.23 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(f6)(x1))) 102.05/71.23 102.05/71.23 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(a)(x1))) 102.05/71.23 102.05/71.23 a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(b)(x1))) 102.05/71.23 102.05/71.23 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(c)(x1))) 102.05/71.23 102.05/71.23 a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(f6)(x1)) 102.05/71.23 102.05/71.23 a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(x1)) 102.05/71.23 102.05/71.23 a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) = x1 + 1 >= x1 = a{#,(f6)}(f6(c)(x1)) 102.05/71.23 102.05/71.23 f6(a)(a(f6)(x1)) = x1 >= x1 = f6(f6)(x1) 102.05/71.23 102.05/71.23 a(a)(a(b)(b(c)(c(f6)(x1)))) = x1 >= x1 = a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 102.05/71.23 102.05/71.23 a(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 102.05/71.23 102.05/71.23 a(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 102.05/71.23 102.05/71.23 a(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 102.05/71.23 102.05/71.23 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 102.05/71.23 102.05/71.23 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 102.05/71.23 102.05/71.23 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 102.05/71.23 102.05/71.23 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 102.05/71.23 102.05/71.23 a(c)(c(f6)(x1)) = x1 >= x1 = a(f6)(x1) 102.05/71.23 102.05/71.23 a(c)(c(a)(x1)) = x1 >= x1 = a(a)(x1) 102.05/71.23 102.05/71.23 a(c)(c(b)(x1)) = x1 >= x1 = a(b)(x1) 102.05/71.23 102.05/71.23 a(c)(c(c)(x1)) = x1 >= x1 = a(c)(x1) 102.05/71.23 102.05/71.23 b(a)(a(b)(b(c)(c(f6)(x1)))) = x1 >= x1 = b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 102.05/71.23 102.05/71.23 b(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 102.05/71.23 102.05/71.23 b(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 102.05/71.23 102.05/71.23 b(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 102.05/71.23 102.05/71.23 b(a)(a(f6)(x1)) = x1 >= x1 = b(f6)(x1) 102.05/71.23 102.05/71.23 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 102.05/71.23 102.05/71.23 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 102.05/71.23 102.05/71.23 b(c)(c(f6)(x1)) = x1 >= x1 = b(f6)(x1) 102.05/71.23 102.05/71.23 b(c)(c(a)(x1)) = x1 >= x1 = b(a)(x1) 102.05/71.23 102.05/71.23 b(c)(c(c)(x1)) = x1 >= x1 = b(c)(x1) 102.05/71.23 102.05/71.23 b(b)(b(f6)(x1)) = x1 >= x1 = b(f6)(x1) 102.05/71.23 102.05/71.23 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 122.15/91.33 122.15/91.33 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 122.15/91.33 122.15/91.33 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 122.15/91.33 122.15/91.33 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 122.15/91.33 122.15/91.33 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 122.15/91.33 122.15/91.33 c(c)(c(f6)(x1)) = x1 >= x1 = c(f6)(x1) 122.15/91.33 122.15/91.33 c(c)(c(a)(x1)) = x1 >= x1 = c(a)(x1) 122.15/91.33 122.15/91.33 c(c)(c(b)(x1)) = x1 >= x1 = c(b)(x1) 122.15/91.33 122.15/91.33 c(c)(c(c)(x1)) = x1 >= x1 = c(c)(x1) 122.15/91.33 122.15/91.33 c(a)(a(b)(b(c)(c(f6)(x1)))) = x1 >= x1 = c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 122.15/91.33 122.15/91.33 c(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 122.15/91.33 122.15/91.33 c(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 122.15/91.33 122.15/91.33 c(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 122.15/91.33 122.15/91.33 c(a)(a(f6)(x1)) = x1 >= x1 = c(f6)(x1) 122.15/91.33 122.15/91.33 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 122.15/91.33 122.15/91.33 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1) 122.15/91.33 122.15/91.33 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 122.15/91.33 122.15/91.33 f6(a)(a(b)(b(c)(c(f6)(x1)))) = x1 >= x1 = f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 122.15/91.33 122.15/91.33 f6(a)(a(b)(b(c)(c(a)(x1)))) = x1 >= x1 = f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 122.15/91.33 122.15/91.33 f6(a)(a(b)(b(c)(c(b)(x1)))) = x1 >= x1 = f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 122.15/91.33 122.15/91.33 f6(a)(a(b)(b(c)(c(c)(x1)))) = x1 >= x1 = f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 122.15/91.33 122.15/91.33 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 122.15/91.33 122.15/91.33 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 122.15/91.33 122.15/91.33 f6(c)(c(f6)(x1)) = x1 >= x1 = f6(f6)(x1) 122.15/91.33 122.15/91.33 f6(c)(c(a)(x1)) = x1 >= x1 = f6(a)(x1) 122.15/91.33 122.15/91.33 f6(c)(c(c)(x1)) = x1 >= x1 = f6(c)(x1) 122.15/91.33 problem: 122.15/91.33 DPs: 122.15/91.33 122.15/91.33 TRS: 122.15/91.33 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 122.15/91.33 a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 122.15/91.33 a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 122.15/91.33 a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 122.15/91.33 a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 122.15/91.33 a(a)(a(f6)(x1)) -> a(f6)(x1) 122.15/91.33 a(a)(a(a)(x1)) -> a(a)(x1) 122.15/91.33 a(a)(a(b)(x1)) -> a(b)(x1) 122.15/91.33 a(a)(a(c)(x1)) -> a(c)(x1) 122.15/91.33 a(c)(c(f6)(x1)) -> a(f6)(x1) 122.15/91.33 a(c)(c(a)(x1)) -> a(a)(x1) 122.15/91.33 a(c)(c(b)(x1)) -> a(b)(x1) 122.15/91.33 a(c)(c(c)(x1)) -> a(c)(x1) 122.15/91.33 b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 122.15/91.33 b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 122.15/91.33 b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 122.15/91.33 b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 122.15/91.33 b(a)(a(f6)(x1)) -> b(f6)(x1) 122.15/91.33 b(a)(a(a)(x1)) -> b(a)(x1) 122.15/91.33 b(a)(a(c)(x1)) -> b(c)(x1) 122.15/91.33 b(c)(c(f6)(x1)) -> b(f6)(x1) 122.15/91.33 b(c)(c(a)(x1)) -> b(a)(x1) 122.15/91.33 b(c)(c(c)(x1)) -> b(c)(x1) 122.15/91.33 b(b)(b(f6)(x1)) -> b(f6)(x1) 122.15/91.33 b(b)(b(a)(x1)) -> b(a)(x1) 122.15/91.33 b(b)(b(b)(x1)) -> b(b)(x1) 122.15/91.33 b(b)(b(c)(x1)) -> b(c)(x1) 122.15/91.33 a(b)(b(b)(x1)) -> a(b)(x1) 122.15/91.33 c(b)(b(b)(x1)) -> c(b)(x1) 122.15/91.33 c(c)(c(f6)(x1)) -> c(f6)(x1) 122.15/91.33 c(c)(c(a)(x1)) -> c(a)(x1) 122.15/91.33 c(c)(c(b)(x1)) -> c(b)(x1) 122.15/91.33 c(c)(c(c)(x1)) -> c(c)(x1) 122.15/91.33 c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 122.15/91.33 c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 122.15/91.33 c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 122.15/91.33 c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 122.15/91.33 c(a)(a(f6)(x1)) -> c(f6)(x1) 122.15/91.33 c(a)(a(a)(x1)) -> c(a)(x1) 122.15/91.33 c(a)(a(b)(x1)) -> c(b)(x1) 122.15/91.33 c(a)(a(c)(x1)) -> c(c)(x1) 122.15/91.33 f6(a)(a(b)(b(c)(c(f6)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) 122.15/91.33 f6(a)(a(b)(b(c)(c(a)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) 122.15/91.33 f6(a)(a(b)(b(c)(c(b)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) 122.15/91.33 f6(a)(a(b)(b(c)(c(c)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 122.15/91.33 f6(a)(a(a)(x1)) -> f6(a)(x1) 122.15/91.33 f6(a)(a(c)(x1)) -> f6(c)(x1) 122.15/91.33 f6(c)(c(f6)(x1)) -> f6(f6)(x1) 122.15/91.33 f6(c)(c(a)(x1)) -> f6(a)(x1) 122.15/91.33 f6(c)(c(c)(x1)) -> f6(c)(x1) 122.15/91.33 Qed 122.15/91.34 EOF