41.15/10.72 YES 41.20/10.73 41.20/10.73 Problem: 41.20/10.73 a(x1) -> x1 41.20/10.73 a(b(x1)) -> c(b(a(a(c(x1))))) 41.20/10.73 b(x1) -> x1 41.20/10.73 c(c(x1)) -> b(x1) 41.20/10.73 41.20/10.73 Proof: 41.20/10.73 DP Processor: 41.20/10.73 DPs: 41.20/10.73 a#(b(x1)) -> c#(x1) 41.20/10.73 a#(b(x1)) -> a#(c(x1)) 41.20/10.73 a#(b(x1)) -> a#(a(c(x1))) 41.20/10.73 a#(b(x1)) -> b#(a(a(c(x1)))) 41.20/10.73 a#(b(x1)) -> c#(b(a(a(c(x1))))) 41.20/10.73 c#(c(x1)) -> b#(x1) 41.20/10.73 TRS: 41.20/10.73 a(x1) -> x1 41.20/10.73 a(b(x1)) -> c(b(a(a(c(x1))))) 41.20/10.73 b(x1) -> x1 41.20/10.73 c(c(x1)) -> b(x1) 41.20/10.73 TDG Processor: 41.20/10.73 DPs: 41.20/10.73 a#(b(x1)) -> c#(x1) 41.20/10.73 a#(b(x1)) -> a#(c(x1)) 41.20/10.73 a#(b(x1)) -> a#(a(c(x1))) 41.20/10.73 a#(b(x1)) -> b#(a(a(c(x1)))) 41.20/10.73 a#(b(x1)) -> c#(b(a(a(c(x1))))) 41.20/10.73 c#(c(x1)) -> b#(x1) 41.20/10.73 TRS: 41.20/10.73 a(x1) -> x1 41.20/10.73 a(b(x1)) -> c(b(a(a(c(x1))))) 41.20/10.73 b(x1) -> x1 41.20/10.73 c(c(x1)) -> b(x1) 41.20/10.73 graph: 41.20/10.73 a#(b(x1)) -> c#(b(a(a(c(x1))))) -> c#(c(x1)) -> b#(x1) 41.20/10.73 a#(b(x1)) -> c#(x1) -> c#(c(x1)) -> b#(x1) 41.20/10.73 a#(b(x1)) -> a#(c(x1)) -> a#(b(x1)) -> c#(b(a(a(c(x1))))) 41.20/10.73 a#(b(x1)) -> a#(c(x1)) -> a#(b(x1)) -> b#(a(a(c(x1)))) 41.20/10.73 a#(b(x1)) -> a#(c(x1)) -> a#(b(x1)) -> a#(a(c(x1))) 41.20/10.73 a#(b(x1)) -> a#(c(x1)) -> a#(b(x1)) -> a#(c(x1)) 41.20/10.73 a#(b(x1)) -> a#(c(x1)) -> a#(b(x1)) -> c#(x1) 41.20/10.73 a#(b(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> c#(b(a(a(c(x1))))) 41.20/10.73 a#(b(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> b#(a(a(c(x1)))) 41.20/10.73 a#(b(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> a#(a(c(x1))) 41.20/10.73 a#(b(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> a#(c(x1)) 41.20/10.73 a#(b(x1)) -> a#(a(c(x1))) -> a#(b(x1)) -> c#(x1) 41.20/10.73 SCC Processor: 41.20/10.73 #sccs: 1 41.20/10.73 #rules: 2 41.20/10.73 #arcs: 12/36 41.20/10.73 DPs: 41.20/10.73 a#(b(x1)) -> a#(c(x1)) 41.20/10.73 a#(b(x1)) -> a#(a(c(x1))) 41.20/10.73 TRS: 41.20/10.73 a(x1) -> x1 41.20/10.73 a(b(x1)) -> c(b(a(a(c(x1))))) 41.20/10.73 b(x1) -> x1 41.20/10.73 c(c(x1)) -> b(x1) 41.20/10.73 Root-Labeling Processor: 41.20/10.73 DPs: 41.20/10.73 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(f6)(x1))) 41.20/10.73 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(x1))) 41.20/10.73 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(b)(x1))) 41.20/10.73 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(c)(x1))) 41.20/10.73 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 41.20/10.73 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 41.20/10.73 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 41.20/10.73 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 41.20/10.73 TRS: 41.20/10.73 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 41.20/10.73 f6(a)(a(a)(x1)) -> f6(a)(x1) 41.20/10.73 f6(a)(a(b)(x1)) -> f6(b)(x1) 41.20/10.73 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.20/10.73 a(a)(a(f6)(x1)) -> a(f6)(x1) 41.20/10.73 a(a)(a(a)(x1)) -> a(a)(x1) 41.20/10.73 a(a)(a(b)(x1)) -> a(b)(x1) 41.20/10.73 a(a)(a(c)(x1)) -> a(c)(x1) 41.20/10.73 b(a)(a(f6)(x1)) -> b(f6)(x1) 41.20/10.73 b(a)(a(a)(x1)) -> b(a)(x1) 41.20/10.73 b(a)(a(b)(x1)) -> b(b)(x1) 41.20/10.73 b(a)(a(c)(x1)) -> b(c)(x1) 41.20/10.73 c(a)(a(f6)(x1)) -> c(f6)(x1) 41.20/10.73 c(a)(a(a)(x1)) -> c(a)(x1) 41.20/10.73 c(a)(a(b)(x1)) -> c(b)(x1) 41.20/10.73 c(a)(a(c)(x1)) -> c(c)(x1) 41.20/10.73 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 41.20/10.73 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 41.20/10.73 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 41.20/10.73 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 41.20/10.73 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 41.20/10.73 a(a)(a(b)(b(a)(x1))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 41.20/10.73 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 41.20/10.73 a(a)(a(b)(b(c)(x1))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 41.20/10.73 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 41.20/10.73 b(a)(a(b)(b(a)(x1))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 41.20/10.73 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 41.20/10.73 b(a)(a(b)(b(c)(x1))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 41.20/10.73 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 41.20/10.73 c(a)(a(b)(b(a)(x1))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 41.20/10.73 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 41.20/10.73 c(a)(a(b)(b(c)(x1))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 41.20/10.73 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 41.20/10.73 f6(b)(b(a)(x1)) -> f6(a)(x1) 41.20/10.73 f6(b)(b(b)(x1)) -> f6(b)(x1) 41.20/10.73 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.20/10.73 a(b)(b(f6)(x1)) -> a(f6)(x1) 41.20/10.73 a(b)(b(a)(x1)) -> a(a)(x1) 41.20/10.73 a(b)(b(b)(x1)) -> a(b)(x1) 41.20/10.73 a(b)(b(c)(x1)) -> a(c)(x1) 42.41/11.99 b(b)(b(f6)(x1)) -> b(f6)(x1) 42.41/11.99 b(b)(b(a)(x1)) -> b(a)(x1) 42.41/11.99 b(b)(b(b)(x1)) -> b(b)(x1) 42.41/11.99 b(b)(b(c)(x1)) -> b(c)(x1) 42.41/11.99 c(b)(b(f6)(x1)) -> c(f6)(x1) 42.41/11.99 c(b)(b(a)(x1)) -> c(a)(x1) 42.41/11.99 c(b)(b(b)(x1)) -> c(b)(x1) 42.41/11.99 c(b)(b(c)(x1)) -> c(c)(x1) 42.41/11.99 f6(c)(c(c)(c(f6)(x1))) -> f6(b)(b(f6)(x1)) 42.41/11.99 f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(a)(x1)) 42.41/11.99 f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(x1)) 42.41/11.99 f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(c)(x1)) 42.41/11.99 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(f6)(x1)) 42.41/11.99 a(c)(c(c)(c(a)(x1))) -> a(b)(b(a)(x1)) 42.41/11.99 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(x1)) 42.41/11.99 a(c)(c(c)(c(c)(x1))) -> a(b)(b(c)(x1)) 42.41/11.99 b(c)(c(c)(c(f6)(x1))) -> b(b)(b(f6)(x1)) 42.41/11.99 b(c)(c(c)(c(a)(x1))) -> b(b)(b(a)(x1)) 42.41/11.99 b(c)(c(c)(c(b)(x1))) -> b(b)(b(b)(x1)) 42.41/11.99 b(c)(c(c)(c(c)(x1))) -> b(b)(b(c)(x1)) 42.41/11.99 c(c)(c(c)(c(f6)(x1))) -> c(b)(b(f6)(x1)) 42.41/11.99 c(c)(c(c)(c(a)(x1))) -> c(b)(b(a)(x1)) 42.41/11.99 c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(x1)) 42.41/11.99 c(c)(c(c)(c(c)(x1))) -> c(b)(b(c)(x1)) 42.41/11.99 Polynomial Interpretation Processor: 42.41/11.99 dimension: 1 42.41/11.99 interpretation: 42.41/11.99 [a(b)](x0) = x0 + 1, 42.41/11.99 42.41/11.99 [a(a)](x0) = x0, 42.41/11.99 42.41/11.99 [f6(f6)](x0) = x0, 42.41/11.99 42.41/11.99 [a(f6)](x0) = x0, 42.41/11.99 42.41/11.99 [a(c)](x0) = x0, 42.41/11.99 42.41/11.99 [f6(a)](x0) = x0, 42.41/11.99 42.41/11.99 [c(c)](x0) = x0 + 1, 42.41/11.99 42.41/11.99 [b(c)](x0) = x0 + 1, 42.41/11.99 42.41/11.99 [c(b)](x0) = x0, 42.41/11.99 42.41/11.99 [b(b)](x0) = x0, 42.41/11.99 42.41/11.99 [c(a)](x0) = x0 + 1, 42.41/11.99 42.41/11.99 [b(a)](x0) = x0 + 1, 42.41/11.99 42.41/11.99 [c(f6)](x0) = x0 + 1, 42.41/11.99 42.41/11.99 [f6(c)](x0) = x0, 42.41/11.99 42.41/11.99 [b(f6)](x0) = x0 + 1, 42.41/11.99 42.41/11.99 [f6(b)](x0) = x0 + 1, 42.41/11.99 42.41/11.99 [a{#,(f6)}](x0) = x0 + 1 42.41/11.99 orientation: 42.41/11.99 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 3 >= x1 + 2 = a{#,(f6)}(f6(c)(c(f6)(x1))) 42.41/11.99 42.41/11.99 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 3 >= x1 + 2 = a{#,(f6)}(f6(c)(c(a)(x1))) 42.41/11.99 42.41/11.99 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(c)(c(b)(x1))) 42.41/11.99 42.41/11.99 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 3 >= x1 + 2 = a{#,(f6)}(f6(c)(c(c)(x1))) 42.41/11.99 42.41/11.99 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 3 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) 42.41/11.99 42.41/11.99 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 3 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) 42.41/11.99 42.41/11.99 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) 42.41/11.99 42.41/11.99 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 3 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) 42.41/11.99 42.41/11.99 f6(a)(a(f6)(x1)) = x1 >= x1 = f6(f6)(x1) 42.41/11.99 42.41/11.99 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 42.41/11.99 42.41/11.99 f6(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1) 42.41/11.99 42.41/11.99 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 42.41/11.99 42.41/11.99 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 42.41/11.99 42.41/11.99 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 42.41/11.99 42.41/11.99 a(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 42.41/11.99 42.41/11.99 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 42.41/11.99 42.41/11.99 b(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 42.41/11.99 42.41/11.99 b(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 42.41/11.99 42.41/11.99 b(a)(a(b)(x1)) = x1 + 2 >= x1 = b(b)(x1) 42.41/11.99 42.41/11.99 b(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 42.41/11.99 42.41/11.99 c(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 42.41/11.99 42.41/11.99 c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 42.41/11.99 42.41/11.99 c(a)(a(b)(x1)) = x1 + 2 >= x1 = c(b)(x1) 42.41/11.99 42.41/11.99 c(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 42.41/11.99 42.41/11.99 f6(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 42.41/11.99 42.41/11.99 f6(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 42.41/11.99 42.41/11.99 f6(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 42.41/11.99 42.41/11.99 f6(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 42.41/11.99 42.41/11.99 a(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 42.41/11.99 42.41/11.99 a(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 42.41/11.99 42.41/11.99 a(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 42.41/11.99 42.41/11.99 a(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.70/13.23 43.70/13.23 b(a)(a(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = b(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.70/13.23 43.70/13.23 b(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = b(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.70/13.23 43.70/13.23 b(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.70/13.23 43.70/13.23 b(a)(a(b)(b(c)(x1))) = x1 + 3 >= x1 + 3 = b(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.70/13.23 43.70/13.23 c(a)(a(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.70/13.23 43.70/13.23 c(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.70/13.23 43.70/13.23 c(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.70/13.23 43.70/13.23 c(a)(a(b)(b(c)(x1))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.70/13.23 43.70/13.23 f6(b)(b(f6)(x1)) = x1 + 2 >= x1 = f6(f6)(x1) 43.70/13.23 43.70/13.23 f6(b)(b(a)(x1)) = x1 + 2 >= x1 = f6(a)(x1) 43.70/13.23 43.70/13.23 f6(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = f6(b)(x1) 43.70/13.23 43.70/13.23 f6(b)(b(c)(x1)) = x1 + 2 >= x1 = f6(c)(x1) 43.70/13.23 43.70/13.23 a(b)(b(f6)(x1)) = x1 + 2 >= x1 = a(f6)(x1) 43.70/13.23 43.70/13.23 a(b)(b(a)(x1)) = x1 + 2 >= x1 = a(a)(x1) 43.70/13.23 43.70/13.23 a(b)(b(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 43.70/13.23 43.70/13.23 a(b)(b(c)(x1)) = x1 + 2 >= x1 = a(c)(x1) 43.70/13.23 43.70/13.23 b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 43.70/13.23 43.70/13.23 b(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = b(a)(x1) 43.70/13.23 43.70/13.23 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 43.70/13.23 43.70/13.23 b(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = b(c)(x1) 43.70/13.23 43.70/13.23 c(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 43.70/13.23 43.70/13.23 c(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 43.70/13.23 43.70/13.23 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 43.70/13.23 43.70/13.23 c(b)(b(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 43.70/13.23 43.70/13.23 f6(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 2 = f6(b)(b(f6)(x1)) 43.70/13.23 43.70/13.23 f6(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = f6(b)(b(a)(x1)) 43.70/13.23 43.70/13.23 f6(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = f6(b)(b(b)(x1)) 43.70/13.23 43.70/13.23 f6(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = f6(b)(b(c)(x1)) 43.70/13.23 43.70/13.23 a(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(f6)(x1)) 43.70/13.23 43.70/13.23 a(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(a)(x1)) 43.70/13.23 43.70/13.23 a(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(b)(x1)) 43.70/13.23 43.70/13.23 a(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(c)(x1)) 43.70/13.23 43.70/13.23 b(c)(c(c)(c(f6)(x1))) = x1 + 3 >= x1 + 1 = b(b)(b(f6)(x1)) 43.70/13.23 43.70/13.23 b(c)(c(c)(c(a)(x1))) = x1 + 3 >= x1 + 1 = b(b)(b(a)(x1)) 43.70/13.23 43.70/13.23 b(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 = b(b)(b(b)(x1)) 43.70/13.23 43.70/13.23 b(c)(c(c)(c(c)(x1))) = x1 + 3 >= x1 + 1 = b(b)(b(c)(x1)) 43.70/13.23 43.70/13.23 c(c)(c(c)(c(f6)(x1))) = x1 + 3 >= x1 + 1 = c(b)(b(f6)(x1)) 43.70/13.23 43.70/13.23 c(c)(c(c)(c(a)(x1))) = x1 + 3 >= x1 + 1 = c(b)(b(a)(x1)) 43.70/13.23 43.70/13.23 c(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 = c(b)(b(b)(x1)) 43.70/13.23 43.70/13.23 c(c)(c(c)(c(c)(x1))) = x1 + 3 >= x1 + 1 = c(b)(b(c)(x1)) 43.70/13.23 problem: 43.70/13.23 DPs: 43.70/13.23 43.70/13.23 TRS: 43.70/13.23 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 43.70/13.23 f6(a)(a(a)(x1)) -> f6(a)(x1) 43.70/13.23 f6(a)(a(b)(x1)) -> f6(b)(x1) 43.70/13.23 f6(a)(a(c)(x1)) -> f6(c)(x1) 43.70/13.23 a(a)(a(f6)(x1)) -> a(f6)(x1) 43.70/13.23 a(a)(a(a)(x1)) -> a(a)(x1) 43.70/13.23 a(a)(a(b)(x1)) -> a(b)(x1) 43.70/13.23 a(a)(a(c)(x1)) -> a(c)(x1) 43.70/13.23 b(a)(a(f6)(x1)) -> b(f6)(x1) 43.70/13.23 b(a)(a(a)(x1)) -> b(a)(x1) 43.70/13.23 b(a)(a(c)(x1)) -> b(c)(x1) 43.70/13.23 c(a)(a(f6)(x1)) -> c(f6)(x1) 43.70/13.23 c(a)(a(a)(x1)) -> c(a)(x1) 43.70/13.23 c(a)(a(c)(x1)) -> c(c)(x1) 43.70/13.23 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.70/13.23 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.70/13.23 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.70/13.23 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.70/13.23 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.70/13.23 a(a)(a(b)(b(a)(x1))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.70/13.23 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.70/13.23 a(a)(a(b)(b(c)(x1))) -> a(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.70/13.23 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.70/13.24 b(a)(a(b)(b(a)(x1))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.70/13.24 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.70/13.24 b(a)(a(b)(b(c)(x1))) -> b(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.70/13.24 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(f6)(x1)))))) 43.70/13.24 c(a)(a(b)(b(a)(x1))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(a)(x1)))))) 43.70/13.24 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(b)(x1)))))) 43.70/13.24 c(a)(a(b)(b(c)(x1))) -> c(c)(c(b)(b(a)(a(a)(a(c)(c(c)(x1)))))) 43.70/13.24 f6(b)(b(b)(x1)) -> f6(b)(x1) 43.70/13.24 a(b)(b(b)(x1)) -> a(b)(x1) 43.70/13.24 b(b)(b(f6)(x1)) -> b(f6)(x1) 43.70/13.24 b(b)(b(a)(x1)) -> b(a)(x1) 43.70/13.24 b(b)(b(b)(x1)) -> b(b)(x1) 43.70/13.24 b(b)(b(c)(x1)) -> b(c)(x1) 43.70/13.24 c(b)(b(f6)(x1)) -> c(f6)(x1) 43.70/13.24 c(b)(b(a)(x1)) -> c(a)(x1) 43.70/13.24 c(b)(b(b)(x1)) -> c(b)(x1) 43.70/13.24 c(b)(b(c)(x1)) -> c(c)(x1) 43.70/13.24 f6(c)(c(c)(c(f6)(x1))) -> f6(b)(b(f6)(x1)) 43.70/13.24 f6(c)(c(c)(c(a)(x1))) -> f6(b)(b(a)(x1)) 43.70/13.24 f6(c)(c(c)(c(b)(x1))) -> f6(b)(b(b)(x1)) 43.70/13.24 f6(c)(c(c)(c(c)(x1))) -> f6(b)(b(c)(x1)) 43.70/13.24 a(c)(c(c)(c(f6)(x1))) -> a(b)(b(f6)(x1)) 43.70/13.24 a(c)(c(c)(c(a)(x1))) -> a(b)(b(a)(x1)) 43.70/13.24 a(c)(c(c)(c(b)(x1))) -> a(b)(b(b)(x1)) 43.70/13.24 a(c)(c(c)(c(c)(x1))) -> a(b)(b(c)(x1)) 43.70/13.24 Qed 43.70/13.24 EOF