42.17/11.01 YES 42.29/11.02 42.29/11.02 Problem: 42.29/11.02 a(x1) -> b(x1) 42.29/11.02 a(b(x1)) -> b(a(c(a(x1)))) 42.29/11.02 b(b(x1)) -> x1 42.29/11.02 c(c(x1)) -> x1 42.29/11.02 42.29/11.02 Proof: 42.29/11.02 DP Processor: 42.29/11.02 DPs: 42.29/11.02 a#(x1) -> b#(x1) 42.29/11.02 a#(b(x1)) -> a#(x1) 42.29/11.02 a#(b(x1)) -> c#(a(x1)) 42.29/11.02 a#(b(x1)) -> a#(c(a(x1))) 42.29/11.02 a#(b(x1)) -> b#(a(c(a(x1)))) 42.29/11.02 TRS: 42.29/11.02 a(x1) -> b(x1) 42.29/11.02 a(b(x1)) -> b(a(c(a(x1)))) 42.29/11.02 b(b(x1)) -> x1 42.29/11.02 c(c(x1)) -> x1 42.29/11.02 TDG Processor: 42.29/11.02 DPs: 42.29/11.02 a#(x1) -> b#(x1) 42.29/11.02 a#(b(x1)) -> a#(x1) 42.29/11.02 a#(b(x1)) -> c#(a(x1)) 42.29/11.02 a#(b(x1)) -> a#(c(a(x1))) 42.29/11.02 a#(b(x1)) -> b#(a(c(a(x1)))) 42.29/11.02 TRS: 42.29/11.02 a(x1) -> b(x1) 42.29/11.02 a(b(x1)) -> b(a(c(a(x1)))) 42.29/11.02 b(b(x1)) -> x1 42.29/11.02 c(c(x1)) -> x1 42.29/11.02 graph: 42.29/11.02 a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> b#(a(c(a(x1)))) 42.29/11.02 a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> a#(c(a(x1))) 42.29/11.02 a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> c#(a(x1)) 42.29/11.02 a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> a#(x1) 42.29/11.02 a#(b(x1)) -> a#(c(a(x1))) -> a#(x1) -> b#(x1) 42.29/11.02 a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(c(a(x1)))) 42.29/11.02 a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(c(a(x1))) 42.29/11.02 a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(a(x1)) 42.29/11.02 a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) 42.29/11.02 a#(b(x1)) -> a#(x1) -> a#(x1) -> b#(x1) 42.29/11.02 SCC Processor: 42.29/11.02 #sccs: 1 42.29/11.02 #rules: 2 42.29/11.02 #arcs: 10/25 42.29/11.02 DPs: 42.29/11.02 a#(b(x1)) -> a#(c(a(x1))) 42.29/11.02 a#(b(x1)) -> a#(x1) 42.29/11.02 TRS: 42.29/11.02 a(x1) -> b(x1) 42.29/11.02 a(b(x1)) -> b(a(c(a(x1)))) 42.29/11.02 b(b(x1)) -> x1 42.29/11.02 c(c(x1)) -> x1 42.29/11.02 Root-Labeling Processor: 42.29/11.02 DPs: 42.29/11.02 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(f6)(x1)))) 42.29/11.02 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(a)(x1)))) 42.29/11.02 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(b)(x1)))) 42.29/11.02 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(c)(x1)))) 42.29/11.02 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(f6)(x1)) 42.29/11.02 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(x1)) 42.29/11.02 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(x1)) 42.29/11.02 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(x1)) 42.29/11.02 TRS: 42.29/11.02 f6(a)(a(f6)(x1)) -> f6(b)(b(f6)(x1)) 42.29/11.02 f6(a)(a(a)(x1)) -> f6(b)(b(a)(x1)) 42.29/11.02 f6(a)(a(b)(x1)) -> f6(b)(b(b)(x1)) 42.29/11.02 f6(a)(a(c)(x1)) -> f6(b)(b(c)(x1)) 42.29/11.02 a(a)(a(f6)(x1)) -> a(b)(b(f6)(x1)) 42.29/11.02 a(a)(a(a)(x1)) -> a(b)(b(a)(x1)) 42.29/11.02 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 42.29/11.02 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 42.29/11.02 b(a)(a(f6)(x1)) -> b(b)(b(f6)(x1)) 42.29/11.02 b(a)(a(a)(x1)) -> b(b)(b(a)(x1)) 42.29/11.02 b(a)(a(b)(x1)) -> b(b)(b(b)(x1)) 42.29/11.02 b(a)(a(c)(x1)) -> b(b)(b(c)(x1)) 42.29/11.02 c(a)(a(f6)(x1)) -> c(b)(b(f6)(x1)) 42.29/11.02 c(a)(a(a)(x1)) -> c(b)(b(a)(x1)) 42.29/11.02 c(a)(a(b)(x1)) -> c(b)(b(b)(x1)) 42.29/11.02 c(a)(a(c)(x1)) -> c(b)(b(c)(x1)) 42.29/11.02 f6(a)(a(b)(b(f6)(x1))) -> f6(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.29/11.02 f6(a)(a(b)(b(a)(x1))) -> f6(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.29/11.02 f6(a)(a(b)(b(b)(x1))) -> f6(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.29/11.02 f6(a)(a(b)(b(c)(x1))) -> f6(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.29/11.02 a(a)(a(b)(b(f6)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.29/11.02 a(a)(a(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.29/11.02 a(a)(a(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.29/11.02 a(a)(a(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.29/11.02 b(a)(a(b)(b(f6)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.29/11.02 b(a)(a(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.29/11.02 b(a)(a(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.29/11.02 b(a)(a(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.29/11.02 c(a)(a(b)(b(f6)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.29/11.02 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.29/11.02 c(a)(a(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.29/11.02 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.29/11.02 f6(b)(b(b)(b(f6)(x1))) -> f6(f6)(x1) 42.29/11.02 f6(b)(b(b)(b(a)(x1))) -> f6(a)(x1) 42.29/11.02 f6(b)(b(b)(b(b)(x1))) -> f6(b)(x1) 42.29/11.02 f6(b)(b(b)(b(c)(x1))) -> f6(c)(x1) 42.29/11.02 a(b)(b(b)(b(f6)(x1))) -> a(f6)(x1) 42.29/11.02 a(b)(b(b)(b(a)(x1))) -> a(a)(x1) 42.29/11.02 a(b)(b(b)(b(b)(x1))) -> a(b)(x1) 42.29/11.02 a(b)(b(b)(b(c)(x1))) -> a(c)(x1) 42.29/11.02 b(b)(b(b)(b(f6)(x1))) -> b(f6)(x1) 42.29/11.02 b(b)(b(b)(b(a)(x1))) -> b(a)(x1) 42.29/11.02 b(b)(b(b)(b(b)(x1))) -> b(b)(x1) 42.29/11.02 b(b)(b(b)(b(c)(x1))) -> b(c)(x1) 42.29/11.02 c(b)(b(b)(b(f6)(x1))) -> c(f6)(x1) 42.38/11.17 c(b)(b(b)(b(a)(x1))) -> c(a)(x1) 42.38/11.17 c(b)(b(b)(b(b)(x1))) -> c(b)(x1) 42.38/11.17 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 42.38/11.17 f6(c)(c(c)(c(f6)(x1))) -> f6(f6)(x1) 42.38/11.17 f6(c)(c(c)(c(a)(x1))) -> f6(a)(x1) 42.38/11.17 f6(c)(c(c)(c(b)(x1))) -> f6(b)(x1) 42.38/11.17 f6(c)(c(c)(c(c)(x1))) -> f6(c)(x1) 42.38/11.17 a(c)(c(c)(c(f6)(x1))) -> a(f6)(x1) 42.38/11.17 a(c)(c(c)(c(a)(x1))) -> a(a)(x1) 42.38/11.17 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 42.38/11.17 a(c)(c(c)(c(c)(x1))) -> a(c)(x1) 42.38/11.17 b(c)(c(c)(c(f6)(x1))) -> b(f6)(x1) 42.38/11.17 b(c)(c(c)(c(a)(x1))) -> b(a)(x1) 42.38/11.17 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 42.38/11.17 b(c)(c(c)(c(c)(x1))) -> b(c)(x1) 42.38/11.17 c(c)(c(c)(c(f6)(x1))) -> c(f6)(x1) 42.38/11.17 c(c)(c(c)(c(a)(x1))) -> c(a)(x1) 42.38/11.17 c(c)(c(c)(c(b)(x1))) -> c(b)(x1) 42.38/11.17 c(c)(c(c)(c(c)(x1))) -> c(c)(x1) 42.38/11.17 Polynomial Interpretation Processor: 42.38/11.17 dimension: 1 42.38/11.17 interpretation: 42.38/11.17 [c(c)](x0) = x0 + 1, 42.38/11.17 42.38/11.17 [c(f6)](x0) = x0, 42.38/11.17 42.38/11.17 [c(b)](x0) = x0, 42.38/11.17 42.38/11.17 [f6(a)](x0) = x0 + 1, 42.38/11.17 42.38/11.17 [f6(f6)](x0) = x0 + 1, 42.38/11.17 42.38/11.17 [a(c)](x0) = x0, 42.38/11.17 42.38/11.17 [b(c)](x0) = x0, 42.38/11.17 42.38/11.17 [a(b)](x0) = x0 + 1, 42.38/11.17 42.38/11.17 [b(b)](x0) = x0 + 1, 42.38/11.17 42.38/11.17 [a(a)](x0) = x0 + 1, 42.38/11.17 42.38/11.17 [b(a)](x0) = x0 + 1, 42.38/11.17 42.38/11.17 [a(f6)](x0) = x0 + 1, 42.38/11.17 42.38/11.17 [c(a)](x0) = x0, 42.38/11.17 42.38/11.17 [f6(c)](x0) = x0, 42.38/11.17 42.38/11.17 [b(f6)](x0) = x0 + 1, 42.38/11.17 42.38/11.17 [f6(b)](x0) = x0, 42.38/11.17 42.38/11.17 [a{#,(f6)}](x0) = x0 42.38/11.17 orientation: 42.38/11.17 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(f6)(x1)))) 42.38/11.17 42.38/11.17 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(a)(x1)))) 42.38/11.17 42.38/11.17 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(b)(x1)))) 42.38/11.17 42.38/11.17 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(a)(a(c)(x1)))) 42.38/11.17 42.38/11.17 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(f6)(x1)) 42.38/11.17 42.38/11.17 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(x1)) 42.38/11.17 42.38/11.17 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(b)(x1)) 42.38/11.17 42.38/11.17 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(x1)) 42.38/11.17 42.38/11.17 f6(a)(a(f6)(x1)) = x1 + 2 >= x1 + 1 = f6(b)(b(f6)(x1)) 42.38/11.17 42.38/11.17 f6(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = f6(b)(b(a)(x1)) 42.38/11.17 42.38/11.17 f6(a)(a(b)(x1)) = x1 + 2 >= x1 + 1 = f6(b)(b(b)(x1)) 42.38/11.17 42.38/11.17 f6(a)(a(c)(x1)) = x1 + 1 >= x1 = f6(b)(b(c)(x1)) 42.38/11.17 42.38/11.17 a(a)(a(f6)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(f6)(x1)) 42.38/11.17 42.38/11.17 a(a)(a(a)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(a)(x1)) 42.38/11.17 42.38/11.17 a(a)(a(b)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(b)(x1)) 42.38/11.17 42.38/11.17 a(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = a(b)(b(c)(x1)) 42.38/11.17 42.38/11.17 b(a)(a(f6)(x1)) = x1 + 2 >= x1 + 2 = b(b)(b(f6)(x1)) 42.38/11.17 42.38/11.17 b(a)(a(a)(x1)) = x1 + 2 >= x1 + 2 = b(b)(b(a)(x1)) 42.38/11.17 42.38/11.17 b(a)(a(b)(x1)) = x1 + 2 >= x1 + 2 = b(b)(b(b)(x1)) 42.38/11.17 42.38/11.17 b(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = b(b)(b(c)(x1)) 42.38/11.17 42.38/11.17 c(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = c(b)(b(f6)(x1)) 42.38/11.17 42.38/11.17 c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(b)(b(a)(x1)) 42.38/11.17 42.38/11.17 c(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(b(b)(x1)) 42.38/11.17 42.38/11.17 c(a)(a(c)(x1)) = x1 >= x1 = c(b)(b(c)(x1)) 42.38/11.17 42.38/11.17 f6(a)(a(b)(b(f6)(x1))) = x1 + 3 >= x1 + 2 = f6(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.38/11.17 42.38/11.17 f6(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 2 = f6(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.38/11.17 42.38/11.17 f6(a)(a(b)(b(b)(x1))) = x1 + 3 >= x1 + 2 = f6(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.38/11.17 42.38/11.17 f6(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.38/11.17 42.38/11.17 a(a)(a(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.38/11.17 42.38/11.17 a(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.38/11.17 42.38/11.17 a(a)(a(b)(b(b)(x1))) = x1 + 3 >= x1 + 3 = a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.38/11.17 42.38/11.17 a(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.38/11.17 42.38/11.17 b(a)(a(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.38/11.17 42.38/11.17 b(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.52/11.27 42.52/11.27 b(a)(a(b)(b(b)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.52/11.27 42.52/11.27 b(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.52/11.27 42.52/11.27 c(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.52/11.27 42.52/11.27 c(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.52/11.27 42.52/11.27 c(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.52/11.27 42.52/11.27 c(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.52/11.27 42.52/11.27 f6(b)(b(b)(b(f6)(x1))) = x1 + 2 >= x1 + 1 = f6(f6)(x1) 42.52/11.27 42.52/11.27 f6(b)(b(b)(b(a)(x1))) = x1 + 2 >= x1 + 1 = f6(a)(x1) 42.52/11.27 42.52/11.27 f6(b)(b(b)(b(b)(x1))) = x1 + 2 >= x1 = f6(b)(x1) 42.52/11.27 42.52/11.27 f6(b)(b(b)(b(c)(x1))) = x1 + 1 >= x1 = f6(c)(x1) 42.52/11.27 42.52/11.27 a(b)(b(b)(b(f6)(x1))) = x1 + 3 >= x1 + 1 = a(f6)(x1) 42.52/11.27 42.52/11.27 a(b)(b(b)(b(a)(x1))) = x1 + 3 >= x1 + 1 = a(a)(x1) 42.52/11.27 42.52/11.27 a(b)(b(b)(b(b)(x1))) = x1 + 3 >= x1 + 1 = a(b)(x1) 42.52/11.27 42.52/11.27 a(b)(b(b)(b(c)(x1))) = x1 + 2 >= x1 = a(c)(x1) 42.52/11.27 42.52/11.27 b(b)(b(b)(b(f6)(x1))) = x1 + 3 >= x1 + 1 = b(f6)(x1) 42.52/11.27 42.52/11.27 b(b)(b(b)(b(a)(x1))) = x1 + 3 >= x1 + 1 = b(a)(x1) 42.52/11.27 42.52/11.27 b(b)(b(b)(b(b)(x1))) = x1 + 3 >= x1 + 1 = b(b)(x1) 42.52/11.27 42.52/11.27 b(b)(b(b)(b(c)(x1))) = x1 + 2 >= x1 = b(c)(x1) 42.52/11.27 42.52/11.27 c(b)(b(b)(b(f6)(x1))) = x1 + 2 >= x1 = c(f6)(x1) 42.52/11.27 42.52/11.27 c(b)(b(b)(b(a)(x1))) = x1 + 2 >= x1 = c(a)(x1) 42.52/11.27 42.52/11.27 c(b)(b(b)(b(b)(x1))) = x1 + 2 >= x1 = c(b)(x1) 42.52/11.27 42.52/11.27 c(b)(b(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(c)(x1) 42.52/11.27 42.52/11.27 f6(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = f6(f6)(x1) 42.52/11.27 42.52/11.27 f6(c)(c(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(x1) 42.52/11.27 42.52/11.27 f6(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 = f6(b)(x1) 42.52/11.27 42.52/11.27 f6(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 = f6(c)(x1) 42.52/11.27 42.52/11.27 a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a(f6)(x1) 42.52/11.27 42.52/11.27 a(c)(c(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = a(a)(x1) 42.52/11.27 42.52/11.27 a(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a(b)(x1) 42.52/11.27 42.52/11.27 a(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 = a(c)(x1) 42.52/11.27 42.52/11.27 b(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = b(f6)(x1) 42.52/11.27 42.52/11.27 b(c)(c(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = b(a)(x1) 42.52/11.27 42.52/11.27 b(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = b(b)(x1) 42.52/11.27 42.52/11.27 b(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 = b(c)(x1) 42.52/11.27 42.52/11.27 c(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 = c(f6)(x1) 42.52/11.27 42.52/11.27 c(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 = c(a)(x1) 42.52/11.27 42.52/11.27 c(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 = c(b)(x1) 42.52/11.27 42.52/11.27 c(c)(c(c)(c(c)(x1))) = x1 + 3 >= x1 + 1 = c(c)(x1) 42.52/11.27 problem: 42.52/11.27 DPs: 42.52/11.27 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(f6)(x1)))) 42.52/11.27 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(a)(x1)))) 42.52/11.27 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(b)(x1)))) 42.52/11.27 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(c)(x1)))) 42.52/11.27 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(f6)(x1)) 42.52/11.27 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(x1)) 42.52/11.27 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(x1)) 42.52/11.27 TRS: 42.52/11.27 a(a)(a(f6)(x1)) -> a(b)(b(f6)(x1)) 42.52/11.27 a(a)(a(a)(x1)) -> a(b)(b(a)(x1)) 42.52/11.27 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 42.52/11.27 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 42.52/11.27 b(a)(a(f6)(x1)) -> b(b)(b(f6)(x1)) 42.52/11.27 b(a)(a(a)(x1)) -> b(b)(b(a)(x1)) 42.52/11.27 b(a)(a(b)(x1)) -> b(b)(b(b)(x1)) 42.52/11.27 b(a)(a(c)(x1)) -> b(b)(b(c)(x1)) 42.52/11.27 c(a)(a(f6)(x1)) -> c(b)(b(f6)(x1)) 42.52/11.27 c(a)(a(a)(x1)) -> c(b)(b(a)(x1)) 42.52/11.27 c(a)(a(b)(x1)) -> c(b)(b(b)(x1)) 42.52/11.27 c(a)(a(c)(x1)) -> c(b)(b(c)(x1)) 42.52/11.27 a(a)(a(b)(b(f6)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.52/11.27 a(a)(a(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.52/11.27 a(a)(a(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.52/11.27 a(a)(a(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.52/11.27 b(a)(a(b)(b(f6)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.52/11.27 b(a)(a(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.52/11.27 b(a)(a(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.69/11.44 b(a)(a(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.69/11.44 c(a)(a(b)(b(f6)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.69/11.44 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.69/11.44 c(a)(a(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.69/11.44 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.69/11.44 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 42.69/11.44 f6(c)(c(c)(c(f6)(x1))) -> f6(f6)(x1) 42.69/11.44 f6(c)(c(c)(c(a)(x1))) -> f6(a)(x1) 42.69/11.44 a(c)(c(c)(c(f6)(x1))) -> a(f6)(x1) 42.69/11.44 a(c)(c(c)(c(a)(x1))) -> a(a)(x1) 42.69/11.44 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 42.69/11.44 b(c)(c(c)(c(f6)(x1))) -> b(f6)(x1) 42.69/11.44 b(c)(c(c)(c(a)(x1))) -> b(a)(x1) 42.69/11.44 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 42.69/11.44 Polynomial Interpretation Processor: 42.69/11.44 dimension: 1 42.69/11.44 interpretation: 42.69/11.44 [c(c)](x0) = x0, 42.69/11.44 42.69/11.44 [c(f6)](x0) = x0 + 1, 42.69/11.44 42.69/11.44 [c(b)](x0) = x0, 42.69/11.44 42.69/11.44 [f6(a)](x0) = x0 + 1, 42.69/11.44 42.69/11.44 [f6(f6)](x0) = x0 + 1, 42.69/11.44 42.69/11.44 [a(c)](x0) = x0, 42.69/11.44 42.69/11.44 [b(c)](x0) = x0, 42.69/11.44 42.69/11.44 [a(b)](x0) = x0, 42.69/11.44 42.69/11.44 [b(b)](x0) = x0, 42.69/11.44 42.69/11.44 [a(a)](x0) = x0, 42.69/11.44 42.69/11.44 [b(a)](x0) = x0, 42.69/11.44 42.69/11.44 [a(f6)](x0) = x0, 42.69/11.44 42.69/11.44 [c(a)](x0) = x0, 42.69/11.44 42.69/11.44 [f6(c)](x0) = x0 + 1, 42.69/11.44 42.69/11.44 [b(f6)](x0) = x0, 42.69/11.44 42.69/11.44 [f6(b)](x0) = x0 + 1, 42.69/11.44 42.69/11.44 [a{#,(f6)}](x0) = x0 42.69/11.44 orientation: 42.69/11.44 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(f6)(x1)))) 42.69/11.44 42.69/11.44 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(a)(x1)))) 42.69/11.44 42.69/11.44 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(b)(x1)))) 42.69/11.44 42.69/11.44 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(c)(x1)))) 42.69/11.44 42.69/11.44 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(f6)(x1)) 42.69/11.44 42.69/11.44 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(x1)) 42.69/11.44 42.69/11.44 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(x1)) 42.69/11.44 42.69/11.44 a(a)(a(f6)(x1)) = x1 >= x1 = a(b)(b(f6)(x1)) 42.69/11.44 42.69/11.44 a(a)(a(a)(x1)) = x1 >= x1 = a(b)(b(a)(x1)) 42.69/11.44 42.69/11.44 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(b(b)(x1)) 42.69/11.44 42.69/11.44 a(a)(a(c)(x1)) = x1 >= x1 = a(b)(b(c)(x1)) 42.69/11.44 42.69/11.44 b(a)(a(f6)(x1)) = x1 >= x1 = b(b)(b(f6)(x1)) 42.69/11.44 42.69/11.44 b(a)(a(a)(x1)) = x1 >= x1 = b(b)(b(a)(x1)) 42.69/11.44 42.69/11.44 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(b(b)(x1)) 42.69/11.44 42.69/11.44 b(a)(a(c)(x1)) = x1 >= x1 = b(b)(b(c)(x1)) 42.69/11.44 42.69/11.44 c(a)(a(f6)(x1)) = x1 >= x1 = c(b)(b(f6)(x1)) 42.69/11.44 42.69/11.44 c(a)(a(a)(x1)) = x1 >= x1 = c(b)(b(a)(x1)) 42.69/11.44 42.69/11.44 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(b(b)(x1)) 42.69/11.44 42.69/11.44 c(a)(a(c)(x1)) = x1 >= x1 = c(b)(b(c)(x1)) 42.69/11.44 42.69/11.44 a(a)(a(b)(b(f6)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.69/11.44 42.69/11.44 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.69/11.44 42.69/11.44 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.69/11.44 42.69/11.44 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.69/11.44 42.69/11.44 b(a)(a(b)(b(f6)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.69/11.44 42.69/11.44 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.69/11.44 42.69/11.44 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.69/11.44 42.69/11.44 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.69/11.44 42.69/11.44 c(a)(a(b)(b(f6)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.69/11.44 42.69/11.44 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.69/11.44 42.69/11.44 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.69/11.44 42.69/11.44 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.69/11.44 42.69/11.44 c(b)(b(b)(b(c)(x1))) = x1 >= x1 = c(c)(x1) 42.69/11.44 42.69/11.44 f6(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 + 1 = f6(f6)(x1) 42.69/11.44 42.69/11.44 f6(c)(c(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = f6(a)(x1) 42.69/11.44 42.69/11.44 a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 = a(f6)(x1) 42.69/11.44 42.69/11.45 a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(a)(x1) 42.69/11.45 42.69/11.45 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(x1) 42.69/11.45 42.69/11.45 b(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 = b(f6)(x1) 42.69/11.45 42.69/11.45 b(c)(c(c)(c(a)(x1))) = x1 >= x1 = b(a)(x1) 42.69/11.45 42.69/11.45 b(c)(c(c)(c(b)(x1))) = x1 >= x1 = b(b)(x1) 42.69/11.45 problem: 42.69/11.45 DPs: 42.69/11.45 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(f6)(x1)))) 42.69/11.45 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(a)(x1)))) 42.69/11.45 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(b)(x1)))) 42.69/11.45 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(c)(x1)))) 42.69/11.45 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(f6)(x1)) 42.69/11.45 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(x1)) 42.69/11.45 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(x1)) 42.69/11.45 TRS: 42.69/11.45 a(a)(a(f6)(x1)) -> a(b)(b(f6)(x1)) 42.69/11.45 a(a)(a(a)(x1)) -> a(b)(b(a)(x1)) 42.69/11.45 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 42.69/11.45 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 42.69/11.45 b(a)(a(f6)(x1)) -> b(b)(b(f6)(x1)) 42.69/11.45 b(a)(a(a)(x1)) -> b(b)(b(a)(x1)) 42.69/11.45 b(a)(a(b)(x1)) -> b(b)(b(b)(x1)) 42.69/11.45 b(a)(a(c)(x1)) -> b(b)(b(c)(x1)) 42.69/11.45 c(a)(a(f6)(x1)) -> c(b)(b(f6)(x1)) 42.69/11.45 c(a)(a(a)(x1)) -> c(b)(b(a)(x1)) 42.69/11.45 c(a)(a(b)(x1)) -> c(b)(b(b)(x1)) 42.69/11.45 c(a)(a(c)(x1)) -> c(b)(b(c)(x1)) 42.69/11.45 a(a)(a(b)(b(f6)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.69/11.45 a(a)(a(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.69/11.45 a(a)(a(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.69/11.45 a(a)(a(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.69/11.45 b(a)(a(b)(b(f6)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.69/11.45 b(a)(a(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.69/11.45 b(a)(a(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.69/11.45 b(a)(a(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.69/11.45 c(a)(a(b)(b(f6)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.69/11.45 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.69/11.45 c(a)(a(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.69/11.45 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.69/11.45 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 42.69/11.45 f6(c)(c(c)(c(a)(x1))) -> f6(a)(x1) 42.69/11.45 a(c)(c(c)(c(a)(x1))) -> a(a)(x1) 42.69/11.45 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 42.69/11.45 b(c)(c(c)(c(a)(x1))) -> b(a)(x1) 42.69/11.45 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 42.69/11.45 Polynomial Interpretation Processor: 42.69/11.45 dimension: 1 42.69/11.45 interpretation: 42.69/11.45 [c(c)](x0) = x0 + 1, 42.69/11.45 42.69/11.45 [c(b)](x0) = x0, 42.69/11.45 42.69/11.45 [f6(a)](x0) = x0, 42.69/11.45 42.69/11.45 [f6(f6)](x0) = x0 + 1, 42.69/11.45 42.69/11.45 [a(c)](x0) = x0, 42.69/11.45 42.69/11.45 [b(c)](x0) = x0, 42.69/11.45 42.69/11.45 [a(b)](x0) = x0 + 1, 42.69/11.45 42.69/11.45 [b(b)](x0) = x0 + 1, 42.69/11.45 42.69/11.45 [a(a)](x0) = x0 + 1, 42.69/11.45 42.69/11.45 [b(a)](x0) = x0 + 1, 42.69/11.45 42.69/11.45 [a(f6)](x0) = x0 + 1, 42.69/11.45 42.69/11.45 [c(a)](x0) = x0, 42.69/11.45 42.69/11.45 [f6(c)](x0) = x0, 42.69/11.45 42.69/11.45 [b(f6)](x0) = x0 + 1, 42.69/11.45 42.69/11.45 [f6(b)](x0) = x0, 42.69/11.45 42.69/11.45 [a{#,(f6)}](x0) = x0 42.69/11.45 orientation: 42.69/11.45 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(f6)(x1)))) 42.69/11.45 42.69/11.45 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(a)(x1)))) 42.69/11.45 42.69/11.45 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(c)(c(a)(a(b)(x1)))) 42.69/11.45 42.69/11.45 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(c(a)(a(c)(x1)))) 42.69/11.45 42.69/11.45 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(f6)(x1)) 42.69/11.45 42.69/11.45 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(x1)) 42.69/11.45 42.69/11.45 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(x1)) 42.69/11.45 42.69/11.45 a(a)(a(f6)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(f6)(x1)) 42.69/11.45 42.69/11.45 a(a)(a(a)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(a)(x1)) 42.69/11.45 42.69/11.45 a(a)(a(b)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(b)(x1)) 42.69/11.45 42.69/11.45 a(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = a(b)(b(c)(x1)) 42.69/11.45 42.69/11.45 b(a)(a(f6)(x1)) = x1 + 2 >= x1 + 2 = b(b)(b(f6)(x1)) 42.69/11.45 42.69/11.45 b(a)(a(a)(x1)) = x1 + 2 >= x1 + 2 = b(b)(b(a)(x1)) 42.84/11.61 42.84/11.61 b(a)(a(b)(x1)) = x1 + 2 >= x1 + 2 = b(b)(b(b)(x1)) 42.84/11.61 42.84/11.61 b(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = b(b)(b(c)(x1)) 42.84/11.61 42.84/11.61 c(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = c(b)(b(f6)(x1)) 42.84/11.61 42.84/11.61 c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(b)(b(a)(x1)) 42.84/11.61 42.84/11.61 c(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(b(b)(x1)) 42.84/11.61 42.84/11.61 c(a)(a(c)(x1)) = x1 >= x1 = c(b)(b(c)(x1)) 42.84/11.61 42.84/11.61 a(a)(a(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.84/11.61 42.84/11.61 a(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.84/11.61 42.84/11.61 a(a)(a(b)(b(b)(x1))) = x1 + 3 >= x1 + 3 = a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.84/11.61 42.84/11.61 a(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.84/11.61 42.84/11.61 b(a)(a(b)(b(f6)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.84/11.61 42.84/11.61 b(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.84/11.61 42.84/11.61 b(a)(a(b)(b(b)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.84/11.61 42.84/11.61 b(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.84/11.61 42.84/11.61 c(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.84/11.61 42.84/11.61 c(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.84/11.61 42.84/11.61 c(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.84/11.61 42.84/11.61 c(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.84/11.61 42.84/11.61 c(b)(b(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(c)(x1) 42.84/11.61 42.84/11.61 f6(c)(c(c)(c(a)(x1))) = x1 + 1 >= x1 = f6(a)(x1) 42.84/11.61 42.84/11.61 a(c)(c(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = a(a)(x1) 42.84/11.61 42.84/11.61 a(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a(b)(x1) 42.84/11.61 42.84/11.61 b(c)(c(c)(c(a)(x1))) = x1 + 1 >= x1 + 1 = b(a)(x1) 42.84/11.61 42.84/11.61 b(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = b(b)(x1) 42.84/11.61 problem: 42.84/11.61 DPs: 42.84/11.61 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(f6)(x1)))) 42.84/11.61 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(a)(x1)))) 42.84/11.61 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(b)(x1)))) 42.84/11.61 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(c)(x1)))) 42.84/11.61 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(f6)(x1)) 42.84/11.61 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(x1)) 42.84/11.61 TRS: 42.84/11.61 a(a)(a(f6)(x1)) -> a(b)(b(f6)(x1)) 42.84/11.61 a(a)(a(a)(x1)) -> a(b)(b(a)(x1)) 42.84/11.61 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 42.84/11.61 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 42.84/11.61 b(a)(a(f6)(x1)) -> b(b)(b(f6)(x1)) 42.84/11.61 b(a)(a(a)(x1)) -> b(b)(b(a)(x1)) 42.84/11.61 b(a)(a(b)(x1)) -> b(b)(b(b)(x1)) 42.84/11.61 b(a)(a(c)(x1)) -> b(b)(b(c)(x1)) 42.84/11.61 c(a)(a(f6)(x1)) -> c(b)(b(f6)(x1)) 42.84/11.61 c(a)(a(a)(x1)) -> c(b)(b(a)(x1)) 42.84/11.61 c(a)(a(b)(x1)) -> c(b)(b(b)(x1)) 42.84/11.61 c(a)(a(c)(x1)) -> c(b)(b(c)(x1)) 42.84/11.61 a(a)(a(b)(b(f6)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.84/11.61 a(a)(a(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.84/11.61 a(a)(a(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.84/11.61 a(a)(a(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.84/11.61 b(a)(a(b)(b(f6)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.84/11.61 b(a)(a(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.84/11.61 b(a)(a(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.84/11.61 b(a)(a(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.84/11.61 c(a)(a(b)(b(f6)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.84/11.61 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.84/11.61 c(a)(a(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.84/11.61 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.84/11.61 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 42.84/11.61 a(c)(c(c)(c(a)(x1))) -> a(a)(x1) 42.84/11.61 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 42.84/11.61 b(c)(c(c)(c(a)(x1))) -> b(a)(x1) 42.84/11.61 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 42.84/11.61 Polynomial Interpretation Processor: 42.84/11.61 dimension: 1 42.99/11.77 interpretation: 42.99/11.77 [c(c)](x0) = x0, 42.99/11.77 42.99/11.77 [c(b)](x0) = x0, 42.99/11.77 42.99/11.77 [f6(f6)](x0) = x0, 42.99/11.77 42.99/11.77 [a(c)](x0) = x0, 42.99/11.77 42.99/11.77 [b(c)](x0) = x0, 42.99/11.77 42.99/11.77 [a(b)](x0) = x0, 42.99/11.77 42.99/11.77 [b(b)](x0) = x0, 42.99/11.77 42.99/11.77 [a(a)](x0) = x0, 42.99/11.77 42.99/11.77 [b(a)](x0) = x0, 42.99/11.77 42.99/11.77 [a(f6)](x0) = x0, 42.99/11.77 42.99/11.77 [c(a)](x0) = x0, 42.99/11.77 42.99/11.77 [f6(c)](x0) = x0, 42.99/11.77 42.99/11.77 [b(f6)](x0) = x0, 42.99/11.77 42.99/11.77 [f6(b)](x0) = x0 + 1, 42.99/11.77 42.99/11.77 [a{#,(f6)}](x0) = x0 42.99/11.77 orientation: 42.99/11.77 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(c)(c(a)(a(f6)(x1)))) 42.99/11.77 42.99/11.77 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(c)(c(a)(a(a)(x1)))) 42.99/11.77 42.99/11.77 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(c)(c(a)(a(b)(x1)))) 42.99/11.77 42.99/11.77 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(c)(c(a)(a(c)(x1)))) 42.99/11.77 42.99/11.77 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(f6)(x1)) 42.99/11.77 42.99/11.77 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(c)(x1)) 42.99/11.77 42.99/11.77 a(a)(a(f6)(x1)) = x1 >= x1 = a(b)(b(f6)(x1)) 42.99/11.77 42.99/11.77 a(a)(a(a)(x1)) = x1 >= x1 = a(b)(b(a)(x1)) 42.99/11.77 42.99/11.77 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(b(b)(x1)) 42.99/11.77 42.99/11.77 a(a)(a(c)(x1)) = x1 >= x1 = a(b)(b(c)(x1)) 42.99/11.77 42.99/11.77 b(a)(a(f6)(x1)) = x1 >= x1 = b(b)(b(f6)(x1)) 42.99/11.77 42.99/11.77 b(a)(a(a)(x1)) = x1 >= x1 = b(b)(b(a)(x1)) 42.99/11.77 42.99/11.77 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(b(b)(x1)) 42.99/11.77 42.99/11.77 b(a)(a(c)(x1)) = x1 >= x1 = b(b)(b(c)(x1)) 42.99/11.77 42.99/11.77 c(a)(a(f6)(x1)) = x1 >= x1 = c(b)(b(f6)(x1)) 42.99/11.77 42.99/11.77 c(a)(a(a)(x1)) = x1 >= x1 = c(b)(b(a)(x1)) 42.99/11.77 42.99/11.77 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(b(b)(x1)) 42.99/11.77 42.99/11.77 c(a)(a(c)(x1)) = x1 >= x1 = c(b)(b(c)(x1)) 42.99/11.77 42.99/11.77 a(a)(a(b)(b(f6)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.99/11.77 42.99/11.77 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.99/11.77 42.99/11.77 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.99/11.77 42.99/11.77 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.99/11.77 42.99/11.77 b(a)(a(b)(b(f6)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.99/11.77 42.99/11.77 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.99/11.77 42.99/11.77 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.99/11.77 42.99/11.77 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.99/11.77 42.99/11.77 c(a)(a(b)(b(f6)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.99/11.77 42.99/11.77 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.99/11.77 42.99/11.77 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.99/11.77 42.99/11.77 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.99/11.77 42.99/11.77 c(b)(b(b)(b(c)(x1))) = x1 >= x1 = c(c)(x1) 42.99/11.77 42.99/11.77 a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(a)(x1) 42.99/11.77 42.99/11.77 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(x1) 42.99/11.77 42.99/11.77 b(c)(c(c)(c(a)(x1))) = x1 >= x1 = b(a)(x1) 42.99/11.77 42.99/11.77 b(c)(c(c)(c(b)(x1))) = x1 >= x1 = b(b)(x1) 42.99/11.77 problem: 42.99/11.77 DPs: 42.99/11.77 42.99/11.77 TRS: 42.99/11.77 a(a)(a(f6)(x1)) -> a(b)(b(f6)(x1)) 42.99/11.77 a(a)(a(a)(x1)) -> a(b)(b(a)(x1)) 42.99/11.77 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 42.99/11.77 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 42.99/11.77 b(a)(a(f6)(x1)) -> b(b)(b(f6)(x1)) 42.99/11.77 b(a)(a(a)(x1)) -> b(b)(b(a)(x1)) 42.99/11.77 b(a)(a(b)(x1)) -> b(b)(b(b)(x1)) 42.99/11.77 b(a)(a(c)(x1)) -> b(b)(b(c)(x1)) 42.99/11.77 c(a)(a(f6)(x1)) -> c(b)(b(f6)(x1)) 42.99/11.77 c(a)(a(a)(x1)) -> c(b)(b(a)(x1)) 42.99/11.77 c(a)(a(b)(x1)) -> c(b)(b(b)(x1)) 42.99/11.77 c(a)(a(c)(x1)) -> c(b)(b(c)(x1)) 42.99/11.77 a(a)(a(b)(b(f6)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.99/11.77 a(a)(a(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.99/11.77 a(a)(a(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.99/11.77 a(a)(a(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.99/11.77 b(a)(a(b)(b(f6)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.99/11.77 b(a)(a(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.99/11.77 b(a)(a(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.99/11.77 b(a)(a(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.99/11.77 c(a)(a(b)(b(f6)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) 42.99/11.77 c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) 42.99/11.77 c(a)(a(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) 42.99/11.77 c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) 42.99/11.77 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 42.99/11.77 a(c)(c(c)(c(a)(x1))) -> a(a)(x1) 42.99/11.77 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 42.99/11.77 b(c)(c(c)(c(a)(x1))) -> b(a)(x1) 42.99/11.77 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 42.99/11.77 Qed 42.99/11.78 EOF