42.45/11.10 YES 42.45/11.11 42.45/11.11 Problem: 42.45/11.11 a(x1) -> x1 42.45/11.11 a(b(x1)) -> c(b(b(a(a(x1))))) 42.45/11.11 b(b(x1)) -> x1 42.45/11.11 c(c(x1)) -> x1 42.45/11.11 42.45/11.11 Proof: 42.45/11.11 DP Processor: 42.45/11.11 DPs: 42.45/11.11 a#(b(x1)) -> a#(x1) 42.45/11.11 a#(b(x1)) -> a#(a(x1)) 42.45/11.11 a#(b(x1)) -> b#(a(a(x1))) 42.45/11.11 a#(b(x1)) -> b#(b(a(a(x1)))) 42.45/11.11 a#(b(x1)) -> c#(b(b(a(a(x1))))) 42.45/11.11 TRS: 42.45/11.11 a(x1) -> x1 42.45/11.11 a(b(x1)) -> c(b(b(a(a(x1))))) 42.45/11.11 b(b(x1)) -> x1 42.45/11.11 c(c(x1)) -> x1 42.45/11.11 TDG Processor: 42.45/11.11 DPs: 42.45/11.11 a#(b(x1)) -> a#(x1) 42.45/11.11 a#(b(x1)) -> a#(a(x1)) 42.45/11.11 a#(b(x1)) -> b#(a(a(x1))) 42.45/11.11 a#(b(x1)) -> b#(b(a(a(x1)))) 42.45/11.11 a#(b(x1)) -> c#(b(b(a(a(x1))))) 42.45/11.11 TRS: 42.45/11.11 a(x1) -> x1 42.45/11.11 a(b(x1)) -> c(b(b(a(a(x1))))) 42.45/11.11 b(b(x1)) -> x1 42.45/11.11 c(c(x1)) -> x1 42.45/11.11 graph: 42.45/11.11 a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> c#(b(b(a(a(x1))))) 42.45/11.11 a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(b(a(a(x1)))) 42.45/11.11 a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(a(a(x1))) 42.45/11.11 a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) 42.45/11.11 a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(x1) 42.45/11.11 a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(b(b(a(a(x1))))) 42.45/11.11 a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(b(a(a(x1)))) 42.45/11.11 a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(a(x1))) 42.45/11.11 a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(a(x1)) 42.45/11.11 a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) 42.45/11.11 SCC Processor: 42.45/11.11 #sccs: 1 42.45/11.11 #rules: 2 42.45/11.11 #arcs: 10/25 42.45/11.11 DPs: 42.45/11.11 a#(b(x1)) -> a#(a(x1)) 42.45/11.11 a#(b(x1)) -> a#(x1) 42.45/11.11 TRS: 42.45/11.11 a(x1) -> x1 42.45/11.11 a(b(x1)) -> c(b(b(a(a(x1))))) 42.45/11.11 b(b(x1)) -> x1 42.45/11.11 c(c(x1)) -> x1 42.45/11.11 Root-Labeling Processor: 42.45/11.11 DPs: 42.45/11.11 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(f6)(x1))) 42.45/11.11 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(a)(x1))) 42.45/11.11 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(b)(x1))) 42.45/11.11 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(x1))) 42.45/11.11 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(f6)(x1)) 42.45/11.11 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(x1)) 42.45/11.11 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(x1)) 42.45/11.11 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(x1)) 42.45/11.11 TRS: 42.45/11.11 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 42.45/11.11 f6(a)(a(a)(x1)) -> f6(a)(x1) 42.45/11.11 f6(a)(a(b)(x1)) -> f6(b)(x1) 42.45/11.11 f6(a)(a(c)(x1)) -> f6(c)(x1) 42.45/11.11 a(a)(a(f6)(x1)) -> a(f6)(x1) 42.45/11.11 a(a)(a(a)(x1)) -> a(a)(x1) 42.45/11.11 a(a)(a(b)(x1)) -> a(b)(x1) 42.45/11.11 a(a)(a(c)(x1)) -> a(c)(x1) 42.45/11.11 b(a)(a(f6)(x1)) -> b(f6)(x1) 42.45/11.11 b(a)(a(a)(x1)) -> b(a)(x1) 42.45/11.11 b(a)(a(b)(x1)) -> b(b)(x1) 42.45/11.11 b(a)(a(c)(x1)) -> b(c)(x1) 42.45/11.11 c(a)(a(f6)(x1)) -> c(f6)(x1) 42.45/11.11 c(a)(a(a)(x1)) -> c(a)(x1) 42.45/11.11 c(a)(a(b)(x1)) -> c(b)(x1) 42.45/11.11 c(a)(a(c)(x1)) -> c(c)(x1) 42.45/11.11 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 42.45/11.11 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 42.45/11.11 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 42.45/11.11 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 42.45/11.11 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 42.45/11.11 a(a)(a(b)(b(a)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 42.45/11.11 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 42.45/11.11 a(a)(a(b)(b(c)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 42.45/11.11 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 42.45/11.11 b(a)(a(b)(b(a)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 42.45/11.11 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 42.45/11.11 b(a)(a(b)(b(c)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 42.45/11.11 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 42.45/11.11 c(a)(a(b)(b(a)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 42.45/11.11 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 42.45/11.11 c(a)(a(b)(b(c)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 42.45/11.11 f6(b)(b(b)(b(f6)(x1))) -> f6(f6)(x1) 42.45/11.11 f6(b)(b(b)(b(a)(x1))) -> f6(a)(x1) 42.45/11.11 f6(b)(b(b)(b(b)(x1))) -> f6(b)(x1) 42.45/11.11 f6(b)(b(b)(b(c)(x1))) -> f6(c)(x1) 42.45/11.11 a(b)(b(b)(b(f6)(x1))) -> a(f6)(x1) 42.45/11.11 a(b)(b(b)(b(a)(x1))) -> a(a)(x1) 42.45/11.11 a(b)(b(b)(b(b)(x1))) -> a(b)(x1) 42.45/11.11 a(b)(b(b)(b(c)(x1))) -> a(c)(x1) 42.45/11.11 b(b)(b(b)(b(f6)(x1))) -> b(f6)(x1) 42.45/11.11 b(b)(b(b)(b(a)(x1))) -> b(a)(x1) 42.45/11.11 b(b)(b(b)(b(b)(x1))) -> b(b)(x1) 42.45/11.11 b(b)(b(b)(b(c)(x1))) -> b(c)(x1) 42.45/11.11 c(b)(b(b)(b(f6)(x1))) -> c(f6)(x1) 44.57/13.13 c(b)(b(b)(b(a)(x1))) -> c(a)(x1) 44.57/13.13 c(b)(b(b)(b(b)(x1))) -> c(b)(x1) 44.57/13.13 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 44.57/13.13 f6(c)(c(c)(c(f6)(x1))) -> f6(f6)(x1) 44.57/13.13 f6(c)(c(c)(c(a)(x1))) -> f6(a)(x1) 44.57/13.13 f6(c)(c(c)(c(b)(x1))) -> f6(b)(x1) 44.57/13.13 f6(c)(c(c)(c(c)(x1))) -> f6(c)(x1) 44.57/13.13 a(c)(c(c)(c(f6)(x1))) -> a(f6)(x1) 44.57/13.13 a(c)(c(c)(c(a)(x1))) -> a(a)(x1) 44.57/13.13 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 44.57/13.13 a(c)(c(c)(c(c)(x1))) -> a(c)(x1) 44.57/13.13 b(c)(c(c)(c(f6)(x1))) -> b(f6)(x1) 44.57/13.13 b(c)(c(c)(c(a)(x1))) -> b(a)(x1) 44.57/13.13 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 44.57/13.13 b(c)(c(c)(c(c)(x1))) -> b(c)(x1) 44.57/13.13 c(c)(c(c)(c(f6)(x1))) -> c(f6)(x1) 44.57/13.13 c(c)(c(c)(c(a)(x1))) -> c(a)(x1) 44.57/13.13 c(c)(c(c)(c(b)(x1))) -> c(b)(x1) 44.57/13.13 c(c)(c(c)(c(c)(x1))) -> c(c)(x1) 44.57/13.13 Polynomial Interpretation Processor: 44.57/13.13 dimension: 1 44.57/13.13 interpretation: 44.57/13.13 [c(c)](x0) = x0, 44.57/13.13 44.57/13.13 [c(b)](x0) = x0, 44.57/13.13 44.57/13.13 [c(f6)](x0) = x0 + 1, 44.57/13.13 44.57/13.13 [c(a)](x0) = x0, 44.57/13.13 44.57/13.13 [f6(c)](x0) = x0, 44.57/13.13 44.57/13.13 [f6(f6)](x0) = x0, 44.57/13.13 44.57/13.13 [a(c)](x0) = x0, 44.57/13.13 44.57/13.13 [b(c)](x0) = x0, 44.57/13.13 44.57/13.13 [a(b)](x0) = x0, 44.57/13.13 44.57/13.13 [b(b)](x0) = x0, 44.57/13.13 44.57/13.13 [a(a)](x0) = x0, 44.57/13.13 44.57/13.13 [b(a)](x0) = x0, 44.57/13.13 44.57/13.13 [a(f6)](x0) = x0 + 1, 44.57/13.13 44.57/13.13 [f6(a)](x0) = x0, 44.57/13.13 44.57/13.13 [b(f6)](x0) = x0 + 1, 44.57/13.13 44.57/13.13 [f6(b)](x0) = x0, 44.57/13.13 44.57/13.13 [a{#,(f6)}](x0) = x0 44.57/13.13 orientation: 44.57/13.13 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(f6)(x1))) 44.57/13.13 44.57/13.13 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(a)(x1))) 44.57/13.13 44.57/13.13 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(b)(x1))) 44.57/13.13 44.57/13.13 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(x1))) 44.57/13.13 44.57/13.13 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(f6)(x1)) 44.57/13.13 44.57/13.13 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(x1)) 44.57/13.13 44.57/13.13 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(b)(x1)) 44.57/13.13 44.57/13.13 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(x1)) 44.57/13.13 44.57/13.13 f6(a)(a(f6)(x1)) = x1 + 1 >= x1 = f6(f6)(x1) 44.57/13.13 44.57/13.13 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 44.57/13.13 44.57/13.13 f6(a)(a(b)(x1)) = x1 >= x1 = f6(b)(x1) 44.57/13.13 44.57/13.13 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 44.57/13.13 44.57/13.13 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 44.57/13.13 44.57/13.13 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 44.57/13.13 44.57/13.13 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 44.57/13.13 44.57/13.13 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 44.57/13.13 44.57/13.13 b(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 44.57/13.13 44.57/13.13 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 44.57/13.13 44.57/13.13 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 44.57/13.13 44.57/13.13 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 44.57/13.13 44.57/13.13 c(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 44.57/13.13 44.57/13.13 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 44.57/13.13 44.57/13.13 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1) 44.57/13.13 44.57/13.13 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 44.57/13.13 44.57/13.13 f6(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 44.57/13.13 44.57/13.13 f6(a)(a(b)(b(a)(x1))) = x1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 44.57/13.13 44.57/13.13 f6(a)(a(b)(b(b)(x1))) = x1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 44.57/13.13 44.57/13.13 f6(a)(a(b)(b(c)(x1))) = x1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 44.57/13.13 44.57/13.13 a(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 44.57/13.13 44.57/13.13 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 44.57/13.13 44.57/13.13 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 44.57/13.13 44.57/13.13 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 44.57/13.13 44.57/13.13 b(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 44.57/13.13 44.57/13.13 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 44.57/13.13 44.57/13.13 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 44.57/13.13 44.57/13.13 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 44.57/13.13 44.57/13.13 c(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 45.07/13.62 45.07/13.62 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 45.07/13.62 45.07/13.62 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 45.07/13.62 45.07/13.62 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 45.07/13.62 45.07/13.62 f6(b)(b(b)(b(f6)(x1))) = x1 + 1 >= x1 = f6(f6)(x1) 45.07/13.62 45.07/13.62 f6(b)(b(b)(b(a)(x1))) = x1 >= x1 = f6(a)(x1) 45.07/13.62 45.07/13.62 f6(b)(b(b)(b(b)(x1))) = x1 >= x1 = f6(b)(x1) 45.07/13.62 45.07/13.62 f6(b)(b(b)(b(c)(x1))) = x1 >= x1 = f6(c)(x1) 45.07/13.62 45.07/13.62 a(b)(b(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(f6)(x1) 45.07/13.62 45.07/13.62 a(b)(b(b)(b(a)(x1))) = x1 >= x1 = a(a)(x1) 45.07/13.62 45.07/13.62 a(b)(b(b)(b(b)(x1))) = x1 >= x1 = a(b)(x1) 45.07/13.62 45.07/13.62 a(b)(b(b)(b(c)(x1))) = x1 >= x1 = a(c)(x1) 45.07/13.62 45.07/13.62 b(b)(b(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(f6)(x1) 45.07/13.62 45.07/13.62 b(b)(b(b)(b(a)(x1))) = x1 >= x1 = b(a)(x1) 45.07/13.62 45.07/13.62 b(b)(b(b)(b(b)(x1))) = x1 >= x1 = b(b)(x1) 45.07/13.62 45.07/13.62 b(b)(b(b)(b(c)(x1))) = x1 >= x1 = b(c)(x1) 45.07/13.62 45.07/13.62 c(b)(b(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(f6)(x1) 45.07/13.62 45.07/13.62 c(b)(b(b)(b(a)(x1))) = x1 >= x1 = c(a)(x1) 45.07/13.62 45.07/13.62 c(b)(b(b)(b(b)(x1))) = x1 >= x1 = c(b)(x1) 45.07/13.62 45.07/13.62 c(b)(b(b)(b(c)(x1))) = x1 >= x1 = c(c)(x1) 45.07/13.62 45.07/13.62 f6(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 = f6(f6)(x1) 45.07/13.62 45.07/13.62 f6(c)(c(c)(c(a)(x1))) = x1 >= x1 = f6(a)(x1) 45.07/13.62 45.07/13.62 f6(c)(c(c)(c(b)(x1))) = x1 >= x1 = f6(b)(x1) 45.07/13.62 45.07/13.62 f6(c)(c(c)(c(c)(x1))) = x1 >= x1 = f6(c)(x1) 45.07/13.62 45.07/13.62 a(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = a(f6)(x1) 45.07/13.62 45.07/13.62 a(c)(c(c)(c(a)(x1))) = x1 >= x1 = a(a)(x1) 45.07/13.62 45.07/13.62 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(x1) 45.07/13.62 45.07/13.62 a(c)(c(c)(c(c)(x1))) = x1 >= x1 = a(c)(x1) 45.07/13.62 45.07/13.62 b(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = b(f6)(x1) 45.07/13.62 45.07/13.62 b(c)(c(c)(c(a)(x1))) = x1 >= x1 = b(a)(x1) 45.07/13.62 45.07/13.62 b(c)(c(c)(c(b)(x1))) = x1 >= x1 = b(b)(x1) 45.07/13.62 45.07/13.62 b(c)(c(c)(c(c)(x1))) = x1 >= x1 = b(c)(x1) 45.07/13.62 45.07/13.62 c(c)(c(c)(c(f6)(x1))) = x1 + 1 >= x1 + 1 = c(f6)(x1) 45.07/13.62 45.07/13.62 c(c)(c(c)(c(a)(x1))) = x1 >= x1 = c(a)(x1) 45.07/13.62 45.07/13.62 c(c)(c(c)(c(b)(x1))) = x1 >= x1 = c(b)(x1) 45.07/13.62 45.07/13.62 c(c)(c(c)(c(c)(x1))) = x1 >= x1 = c(c)(x1) 45.07/13.62 problem: 45.07/13.62 DPs: 45.07/13.62 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(f6)(x1))) 45.07/13.62 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(a)(x1))) 45.07/13.62 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(b)(x1))) 45.07/13.62 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(x1))) 45.07/13.62 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(x1)) 45.07/13.62 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(x1)) 45.07/13.62 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(x1)) 45.07/13.62 TRS: 45.07/13.62 f6(a)(a(a)(x1)) -> f6(a)(x1) 45.07/13.62 f6(a)(a(b)(x1)) -> f6(b)(x1) 45.07/13.62 f6(a)(a(c)(x1)) -> f6(c)(x1) 45.07/13.62 a(a)(a(f6)(x1)) -> a(f6)(x1) 45.07/13.62 a(a)(a(a)(x1)) -> a(a)(x1) 45.07/13.62 a(a)(a(b)(x1)) -> a(b)(x1) 45.07/13.62 a(a)(a(c)(x1)) -> a(c)(x1) 45.07/13.62 b(a)(a(f6)(x1)) -> b(f6)(x1) 45.07/13.62 b(a)(a(a)(x1)) -> b(a)(x1) 45.07/13.62 b(a)(a(b)(x1)) -> b(b)(x1) 45.07/13.62 b(a)(a(c)(x1)) -> b(c)(x1) 45.07/13.62 c(a)(a(f6)(x1)) -> c(f6)(x1) 45.07/13.62 c(a)(a(a)(x1)) -> c(a)(x1) 45.07/13.62 c(a)(a(b)(x1)) -> c(b)(x1) 45.07/13.62 c(a)(a(c)(x1)) -> c(c)(x1) 45.07/13.62 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 45.07/13.62 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 45.07/13.62 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 45.07/13.62 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 45.07/13.62 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 45.07/13.62 a(a)(a(b)(b(a)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 45.07/13.62 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 45.07/13.62 a(a)(a(b)(b(c)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 45.07/13.62 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 45.07/13.62 b(a)(a(b)(b(a)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 45.07/13.62 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 45.07/13.62 b(a)(a(b)(b(c)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 45.75/14.24 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 45.75/14.24 c(a)(a(b)(b(a)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 45.75/14.24 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 45.75/14.24 c(a)(a(b)(b(c)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 45.75/14.24 f6(b)(b(b)(b(a)(x1))) -> f6(a)(x1) 45.75/14.24 f6(b)(b(b)(b(b)(x1))) -> f6(b)(x1) 45.75/14.24 f6(b)(b(b)(b(c)(x1))) -> f6(c)(x1) 45.75/14.24 a(b)(b(b)(b(f6)(x1))) -> a(f6)(x1) 45.75/14.24 a(b)(b(b)(b(a)(x1))) -> a(a)(x1) 45.75/14.24 a(b)(b(b)(b(b)(x1))) -> a(b)(x1) 45.75/14.24 a(b)(b(b)(b(c)(x1))) -> a(c)(x1) 45.75/14.24 b(b)(b(b)(b(f6)(x1))) -> b(f6)(x1) 45.75/14.24 b(b)(b(b)(b(a)(x1))) -> b(a)(x1) 45.75/14.24 b(b)(b(b)(b(b)(x1))) -> b(b)(x1) 45.75/14.24 b(b)(b(b)(b(c)(x1))) -> b(c)(x1) 45.75/14.24 c(b)(b(b)(b(f6)(x1))) -> c(f6)(x1) 45.75/14.24 c(b)(b(b)(b(a)(x1))) -> c(a)(x1) 45.75/14.24 c(b)(b(b)(b(b)(x1))) -> c(b)(x1) 45.75/14.24 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 45.75/14.24 f6(c)(c(c)(c(a)(x1))) -> f6(a)(x1) 45.75/14.24 f6(c)(c(c)(c(b)(x1))) -> f6(b)(x1) 45.75/14.24 f6(c)(c(c)(c(c)(x1))) -> f6(c)(x1) 45.75/14.24 a(c)(c(c)(c(f6)(x1))) -> a(f6)(x1) 45.75/14.24 a(c)(c(c)(c(a)(x1))) -> a(a)(x1) 45.75/14.24 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 45.75/14.24 a(c)(c(c)(c(c)(x1))) -> a(c)(x1) 45.75/14.24 b(c)(c(c)(c(f6)(x1))) -> b(f6)(x1) 45.75/14.24 b(c)(c(c)(c(a)(x1))) -> b(a)(x1) 45.75/14.24 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 45.75/14.24 b(c)(c(c)(c(c)(x1))) -> b(c)(x1) 45.75/14.24 c(c)(c(c)(c(f6)(x1))) -> c(f6)(x1) 45.75/14.24 c(c)(c(c)(c(a)(x1))) -> c(a)(x1) 45.75/14.24 c(c)(c(c)(c(b)(x1))) -> c(b)(x1) 45.75/14.24 c(c)(c(c)(c(c)(x1))) -> c(c)(x1) 45.75/14.24 Polynomial Interpretation Processor: 45.75/14.24 dimension: 1 45.75/14.24 interpretation: 45.75/14.24 [c(c)](x0) = x0 + 1, 45.75/14.24 45.75/14.24 [c(b)](x0) = x0, 45.75/14.24 45.75/14.24 [c(f6)](x0) = x0 + 1, 45.75/14.24 45.75/14.24 [c(a)](x0) = x0 + 1, 45.75/14.24 45.75/14.24 [f6(c)](x0) = x0, 45.75/14.24 45.75/14.24 [a(c)](x0) = x0, 45.75/14.24 45.75/14.24 [b(c)](x0) = x0, 45.75/14.24 45.75/14.24 [a(b)](x0) = x0 + 1, 45.75/14.24 45.75/14.24 [b(b)](x0) = x0 + 1, 45.75/14.24 45.75/14.24 [a(a)](x0) = x0, 45.75/14.24 45.75/14.24 [b(a)](x0) = x0, 45.75/14.24 45.75/14.24 [a(f6)](x0) = x0, 45.75/14.24 45.75/14.24 [f6(a)](x0) = x0, 45.75/14.24 45.75/14.24 [b(f6)](x0) = x0, 45.75/14.24 45.75/14.24 [f6(b)](x0) = x0, 45.75/14.24 45.75/14.24 [a{#,(f6)}](x0) = x0 45.75/14.24 orientation: 45.75/14.24 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(f6)(x1))) 45.75/14.24 45.75/14.24 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(a)(x1))) 45.75/14.24 45.75/14.24 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(b)(x1))) 45.75/14.24 45.75/14.24 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(x1))) 45.75/14.24 45.75/14.24 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(x1)) 45.75/14.24 45.75/14.24 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(b)(x1)) 45.75/14.24 45.75/14.24 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(x1)) 45.75/14.24 45.75/14.24 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 45.75/14.24 45.75/14.24 f6(a)(a(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 45.75/14.24 45.75/14.24 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 45.75/14.24 45.75/14.24 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 45.75/14.24 45.75/14.24 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 45.75/14.24 45.75/14.24 a(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = a(b)(x1) 45.75/14.24 45.75/14.24 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 45.75/14.24 45.75/14.24 b(a)(a(f6)(x1)) = x1 >= x1 = b(f6)(x1) 45.75/14.24 45.75/14.24 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 45.75/14.24 45.75/14.24 b(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1) 45.75/14.24 45.75/14.24 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 45.75/14.24 45.75/14.24 c(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = c(f6)(x1) 45.75/14.24 45.75/14.24 c(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = c(a)(x1) 45.75/14.24 45.75/14.24 c(a)(a(b)(x1)) = x1 + 2 >= x1 = c(b)(x1) 45.75/14.24 45.75/14.24 c(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = c(c)(x1) 45.75/14.24 45.75/14.24 f6(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 45.75/14.24 45.75/14.24 f6(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 45.75/14.24 45.75/14.24 f6(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 45.75/14.24 45.75/14.24 f6(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 47.57/16.10 47.57/16.10 a(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 47.57/16.10 47.57/16.10 a(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 47.57/16.10 47.57/16.10 a(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 47.57/16.10 47.57/16.10 a(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 47.57/16.10 47.57/16.10 b(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 47.57/16.10 47.57/16.10 b(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 47.57/16.10 47.57/16.10 b(a)(a(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 47.57/16.10 47.57/16.10 b(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 47.57/16.10 47.57/16.10 c(a)(a(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 47.57/16.10 47.57/16.10 c(a)(a(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 47.57/16.10 47.57/16.10 c(a)(a(b)(b(b)(x1))) = x1 + 3 >= x1 + 3 = c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 47.57/16.10 47.57/16.10 c(a)(a(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 47.57/16.10 47.57/16.10 f6(b)(b(b)(b(a)(x1))) = x1 + 1 >= x1 = f6(a)(x1) 47.57/16.10 47.57/16.10 f6(b)(b(b)(b(b)(x1))) = x1 + 2 >= x1 = f6(b)(x1) 47.57/16.10 47.57/16.10 f6(b)(b(b)(b(c)(x1))) = x1 + 1 >= x1 = f6(c)(x1) 47.57/16.10 47.57/16.10 a(b)(b(b)(b(f6)(x1))) = x1 + 2 >= x1 = a(f6)(x1) 47.57/16.10 47.57/16.10 a(b)(b(b)(b(a)(x1))) = x1 + 2 >= x1 = a(a)(x1) 47.57/16.10 47.57/16.10 a(b)(b(b)(b(b)(x1))) = x1 + 3 >= x1 + 1 = a(b)(x1) 47.57/16.10 47.57/16.10 a(b)(b(b)(b(c)(x1))) = x1 + 2 >= x1 = a(c)(x1) 47.57/16.10 47.57/16.10 b(b)(b(b)(b(f6)(x1))) = x1 + 2 >= x1 = b(f6)(x1) 47.57/16.10 47.57/16.10 b(b)(b(b)(b(a)(x1))) = x1 + 2 >= x1 = b(a)(x1) 47.57/16.10 47.57/16.10 b(b)(b(b)(b(b)(x1))) = x1 + 3 >= x1 + 1 = b(b)(x1) 47.57/16.10 47.57/16.10 b(b)(b(b)(b(c)(x1))) = x1 + 2 >= x1 = b(c)(x1) 47.57/16.10 47.57/16.10 c(b)(b(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(f6)(x1) 47.57/16.10 47.57/16.10 c(b)(b(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c(a)(x1) 47.57/16.10 47.57/16.10 c(b)(b(b)(b(b)(x1))) = x1 + 2 >= x1 = c(b)(x1) 47.57/16.10 47.57/16.10 c(b)(b(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(c)(x1) 47.57/16.10 47.57/16.10 f6(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 = f6(a)(x1) 47.57/16.10 47.57/16.10 f6(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 = f6(b)(x1) 47.57/16.10 47.57/16.10 f6(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 = f6(c)(x1) 47.57/16.10 47.57/16.10 a(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 = a(f6)(x1) 47.57/16.10 47.57/16.10 a(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 = a(a)(x1) 47.57/16.10 47.57/16.10 a(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = a(b)(x1) 47.57/16.10 47.57/16.10 a(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 = a(c)(x1) 47.57/16.10 47.57/16.10 b(c)(c(c)(c(f6)(x1))) = x1 + 2 >= x1 = b(f6)(x1) 47.57/16.10 47.57/16.10 b(c)(c(c)(c(a)(x1))) = x1 + 2 >= x1 = b(a)(x1) 47.57/16.10 47.57/16.10 b(c)(c(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = b(b)(x1) 47.57/16.10 47.57/16.10 b(c)(c(c)(c(c)(x1))) = x1 + 2 >= x1 = b(c)(x1) 47.57/16.10 47.57/16.10 c(c)(c(c)(c(f6)(x1))) = x1 + 3 >= x1 + 1 = c(f6)(x1) 47.57/16.10 47.57/16.10 c(c)(c(c)(c(a)(x1))) = x1 + 3 >= x1 + 1 = c(a)(x1) 47.57/16.10 47.57/16.10 c(c)(c(c)(c(b)(x1))) = x1 + 2 >= x1 = c(b)(x1) 47.57/16.10 47.57/16.10 c(c)(c(c)(c(c)(x1))) = x1 + 3 >= x1 + 1 = c(c)(x1) 47.57/16.10 problem: 47.57/16.10 DPs: 47.57/16.10 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(f6)(x1))) 47.57/16.10 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(a)(x1))) 47.57/16.10 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(b)(x1))) 47.57/16.10 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(x1))) 47.57/16.10 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(x1)) 47.57/16.10 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(x1)) 47.57/16.10 TRS: 47.57/16.10 f6(a)(a(a)(x1)) -> f6(a)(x1) 47.57/16.10 f6(a)(a(c)(x1)) -> f6(c)(x1) 47.57/16.10 a(a)(a(f6)(x1)) -> a(f6)(x1) 47.57/16.10 a(a)(a(a)(x1)) -> a(a)(x1) 47.57/16.10 a(a)(a(b)(x1)) -> a(b)(x1) 47.57/16.10 a(a)(a(c)(x1)) -> a(c)(x1) 47.57/16.10 b(a)(a(f6)(x1)) -> b(f6)(x1) 47.57/16.10 b(a)(a(a)(x1)) -> b(a)(x1) 47.57/16.10 b(a)(a(b)(x1)) -> b(b)(x1) 47.57/16.10 b(a)(a(c)(x1)) -> b(c)(x1) 47.57/16.10 c(a)(a(f6)(x1)) -> c(f6)(x1) 47.57/16.10 c(a)(a(a)(x1)) -> c(a)(x1) 47.57/16.10 c(a)(a(c)(x1)) -> c(c)(x1) 47.57/16.10 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 48.84/17.34 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 48.84/17.34 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 48.84/17.34 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 48.84/17.34 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 48.84/17.34 a(a)(a(b)(b(a)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 48.84/17.34 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 48.84/17.34 a(a)(a(b)(b(c)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 48.84/17.34 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 48.84/17.34 b(a)(a(b)(b(a)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 48.84/17.34 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 48.84/17.34 b(a)(a(b)(b(c)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 48.84/17.34 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 48.84/17.34 c(a)(a(b)(b(a)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 48.84/17.34 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 48.84/17.34 c(a)(a(b)(b(c)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 48.84/17.34 c(b)(b(b)(b(f6)(x1))) -> c(f6)(x1) 48.84/17.34 c(b)(b(b)(b(a)(x1))) -> c(a)(x1) 48.84/17.34 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 48.84/17.34 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 48.84/17.34 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 48.84/17.34 Polynomial Interpretation Processor: 48.84/17.34 dimension: 1 48.84/17.34 interpretation: 48.84/17.34 [c(c)](x0) = x0, 48.84/17.34 48.84/17.34 [c(b)](x0) = x0, 48.84/17.34 48.84/17.34 [c(f6)](x0) = x0, 48.84/17.34 48.84/17.34 [c(a)](x0) = x0, 48.84/17.34 48.84/17.34 [f6(c)](x0) = x0, 48.84/17.34 48.84/17.34 [a(c)](x0) = x0, 48.84/17.34 48.84/17.34 [b(c)](x0) = x0, 48.84/17.34 48.84/17.34 [a(b)](x0) = x0, 48.84/17.34 48.84/17.34 [b(b)](x0) = x0, 48.84/17.34 48.84/17.34 [a(a)](x0) = x0, 48.84/17.34 48.84/17.34 [b(a)](x0) = x0, 48.84/17.34 48.84/17.34 [a(f6)](x0) = x0 + 1, 48.84/17.34 48.84/17.34 [f6(a)](x0) = x0, 48.84/17.34 48.84/17.34 [b(f6)](x0) = x0 + 1, 48.84/17.34 48.84/17.34 [f6(b)](x0) = x0, 48.84/17.34 48.84/17.34 [a{#,(f6)}](x0) = x0 48.84/17.34 orientation: 48.84/17.34 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f6)}(f6(a)(a(f6)(x1))) 48.84/17.34 48.84/17.34 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(a)(x1))) 48.84/17.34 48.84/17.34 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(b)(x1))) 48.84/17.34 48.84/17.34 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(a(c)(x1))) 48.84/17.34 48.84/17.34 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = a{#,(f6)}(f6(a)(x1)) 48.84/17.34 48.84/17.34 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = a{#,(f6)}(f6(c)(x1)) 48.84/17.34 48.84/17.34 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 48.84/17.34 48.84/17.34 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 48.84/17.34 48.84/17.34 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 48.84/17.34 48.84/17.34 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 48.84/17.34 48.84/17.34 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 48.84/17.34 48.84/17.34 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 48.84/17.34 48.84/17.34 b(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 48.84/17.34 48.84/17.34 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 48.84/17.34 48.84/17.34 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 48.84/17.34 48.84/17.34 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 48.84/17.34 48.84/17.34 c(a)(a(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1) 48.84/17.34 48.84/17.34 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 48.84/17.34 48.84/17.34 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 48.84/17.34 48.84/17.34 f6(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 48.84/17.34 48.84/17.34 f6(a)(a(b)(b(a)(x1))) = x1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 48.84/17.34 48.84/17.34 f6(a)(a(b)(b(b)(x1))) = x1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 48.84/17.34 48.84/17.34 f6(a)(a(b)(b(c)(x1))) = x1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 48.84/17.34 48.84/17.34 a(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 48.84/17.34 48.84/17.34 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 48.84/17.34 48.84/17.34 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 48.84/17.34 48.84/17.34 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 48.84/17.34 50.08/18.58 b(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 50.08/18.58 50.08/18.58 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 50.08/18.58 50.08/18.58 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 50.08/18.58 50.08/18.58 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 50.08/18.58 50.08/18.58 c(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 + 1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 50.08/18.58 50.08/18.58 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 50.08/18.58 50.08/18.58 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 50.08/18.58 50.08/18.58 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 50.08/18.58 50.08/18.58 c(b)(b(b)(b(f6)(x1))) = x1 + 1 >= x1 = c(f6)(x1) 50.08/18.58 50.08/18.58 c(b)(b(b)(b(a)(x1))) = x1 >= x1 = c(a)(x1) 50.08/18.58 50.08/18.58 c(b)(b(b)(b(c)(x1))) = x1 >= x1 = c(c)(x1) 50.08/18.58 50.08/18.58 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(x1) 50.08/18.58 50.08/18.58 b(c)(c(c)(c(b)(x1))) = x1 >= x1 = b(b)(x1) 50.08/18.58 problem: 50.08/18.58 DPs: 50.08/18.58 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(f6)(x1))) 50.08/18.58 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(a)(x1))) 50.08/18.58 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(b)(x1))) 50.08/18.58 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(x1))) 50.08/18.58 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(x1)) 50.08/18.58 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(x1)) 50.08/18.58 TRS: 50.08/18.58 f6(a)(a(a)(x1)) -> f6(a)(x1) 50.08/18.58 f6(a)(a(c)(x1)) -> f6(c)(x1) 50.08/18.58 a(a)(a(f6)(x1)) -> a(f6)(x1) 50.08/18.58 a(a)(a(a)(x1)) -> a(a)(x1) 50.08/18.58 a(a)(a(b)(x1)) -> a(b)(x1) 50.08/18.58 a(a)(a(c)(x1)) -> a(c)(x1) 50.08/18.58 b(a)(a(f6)(x1)) -> b(f6)(x1) 50.08/18.58 b(a)(a(a)(x1)) -> b(a)(x1) 50.08/18.58 b(a)(a(b)(x1)) -> b(b)(x1) 50.08/18.58 b(a)(a(c)(x1)) -> b(c)(x1) 50.08/18.58 c(a)(a(a)(x1)) -> c(a)(x1) 50.08/18.58 c(a)(a(c)(x1)) -> c(c)(x1) 50.08/18.58 f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 50.08/18.58 f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 50.08/18.58 f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 50.08/18.58 f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 50.08/18.58 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 50.08/18.58 a(a)(a(b)(b(a)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 50.08/18.58 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 50.08/18.58 a(a)(a(b)(b(c)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 50.08/18.58 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 50.08/18.58 b(a)(a(b)(b(a)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 50.08/18.58 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 50.08/18.58 b(a)(a(b)(b(c)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 50.08/18.58 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 50.08/18.58 c(a)(a(b)(b(a)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 50.08/18.58 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 50.08/18.58 c(a)(a(b)(b(c)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 50.08/18.58 c(b)(b(b)(b(a)(x1))) -> c(a)(x1) 50.08/18.58 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 50.08/18.58 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 50.08/18.58 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 50.08/18.58 Polynomial Interpretation Processor: 50.08/18.58 dimension: 1 50.08/18.58 interpretation: 50.08/18.58 [c(c)](x0) = x0, 50.08/18.58 50.08/18.58 [c(b)](x0) = x0, 50.08/18.58 50.08/18.58 [c(a)](x0) = x0, 50.08/18.58 50.08/18.58 [f6(c)](x0) = x0, 50.08/18.58 50.08/18.58 [a(c)](x0) = x0, 50.08/18.58 50.08/18.58 [b(c)](x0) = x0, 50.08/18.58 50.08/18.58 [a(b)](x0) = x0, 50.08/18.58 50.08/18.58 [b(b)](x0) = x0, 50.08/18.58 50.08/18.58 [a(a)](x0) = x0, 50.08/18.58 50.08/18.58 [b(a)](x0) = x0, 50.08/18.58 50.08/18.58 [a(f6)](x0) = x0, 50.08/18.58 50.08/18.58 [f6(a)](x0) = x0 + 1, 50.08/18.58 50.08/18.58 [b(f6)](x0) = x0, 50.08/18.58 50.08/18.58 [f6(b)](x0) = x0 + 1, 50.08/18.58 50.08/18.58 [a{#,(f6)}](x0) = x0 + 1 50.08/18.58 orientation: 50.08/18.58 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(f6)(x1))) 50.08/18.58 52.48/21.04 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(a)(x1))) 52.48/21.04 52.48/21.04 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(b)(x1))) 52.48/21.04 52.48/21.04 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(a(c)(x1))) 52.48/21.04 52.48/21.04 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 2 >= x1 + 2 = a{#,(f6)}(f6(a)(x1)) 52.48/21.04 52.48/21.04 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 2 >= x1 + 1 = a{#,(f6)}(f6(c)(x1)) 52.48/21.04 52.48/21.04 f6(a)(a(a)(x1)) = x1 + 1 >= x1 + 1 = f6(a)(x1) 52.48/21.04 52.48/21.04 f6(a)(a(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1) 52.48/21.04 52.48/21.04 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 52.48/21.04 52.48/21.04 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 52.48/21.04 52.48/21.04 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 52.48/21.04 52.48/21.04 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 52.48/21.04 52.48/21.04 b(a)(a(f6)(x1)) = x1 >= x1 = b(f6)(x1) 52.48/21.04 52.48/21.04 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 52.48/21.04 52.48/21.04 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 52.48/21.04 52.48/21.04 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 52.48/21.04 52.48/21.04 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 52.48/21.04 52.48/21.04 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 52.48/21.04 52.48/21.04 f6(a)(a(b)(b(f6)(x1))) = x1 + 1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 52.48/21.04 52.48/21.04 f6(a)(a(b)(b(a)(x1))) = x1 + 1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 52.48/21.04 52.48/21.04 f6(a)(a(b)(b(b)(x1))) = x1 + 1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 52.48/21.04 52.48/21.04 f6(a)(a(b)(b(c)(x1))) = x1 + 1 >= x1 = f6(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 52.48/21.04 52.48/21.04 a(a)(a(b)(b(f6)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 52.48/21.04 52.48/21.04 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 52.48/21.04 52.48/21.04 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 52.48/21.04 52.48/21.04 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 52.48/21.04 52.48/21.04 b(a)(a(b)(b(f6)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 52.48/21.04 52.48/21.04 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 52.48/21.04 52.48/21.04 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 52.48/21.04 52.48/21.04 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 52.48/21.04 52.48/21.04 c(a)(a(b)(b(f6)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 52.48/21.04 52.48/21.04 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 52.48/21.04 52.48/21.04 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 52.48/21.04 52.48/21.04 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 52.48/21.04 52.48/21.04 c(b)(b(b)(b(a)(x1))) = x1 >= x1 = c(a)(x1) 52.48/21.04 52.48/21.04 c(b)(b(b)(b(c)(x1))) = x1 >= x1 = c(c)(x1) 52.48/21.04 52.48/21.04 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(x1) 52.48/21.04 52.48/21.04 b(c)(c(c)(c(b)(x1))) = x1 >= x1 = b(b)(x1) 52.48/21.04 problem: 52.48/21.04 DPs: 52.48/21.04 a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(a)(a(f6)(x1))) 52.48/21.04 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(a(a)(x1))) 52.48/21.04 a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(a)(a(b)(x1))) 52.48/21.04 a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(a)(a(c)(x1))) 52.48/21.04 a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(x1)) 52.48/21.04 TRS: 52.48/21.04 f6(a)(a(a)(x1)) -> f6(a)(x1) 52.48/21.04 a(a)(a(f6)(x1)) -> a(f6)(x1) 52.48/21.04 a(a)(a(a)(x1)) -> a(a)(x1) 52.48/21.04 a(a)(a(b)(x1)) -> a(b)(x1) 52.48/21.04 a(a)(a(c)(x1)) -> a(c)(x1) 52.48/21.04 b(a)(a(f6)(x1)) -> b(f6)(x1) 52.48/21.04 b(a)(a(a)(x1)) -> b(a)(x1) 52.48/21.04 b(a)(a(b)(x1)) -> b(b)(x1) 52.48/21.04 b(a)(a(c)(x1)) -> b(c)(x1) 52.48/21.04 c(a)(a(a)(x1)) -> c(a)(x1) 52.48/21.04 c(a)(a(c)(x1)) -> c(c)(x1) 52.48/21.04 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 52.48/21.04 a(a)(a(b)(b(a)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 52.48/21.04 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 52.48/21.04 a(a)(a(b)(b(c)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 52.48/21.04 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 54.37/22.87 b(a)(a(b)(b(a)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 54.37/22.87 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 54.37/22.87 b(a)(a(b)(b(c)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 54.37/22.87 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 54.37/22.87 c(a)(a(b)(b(a)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 54.37/22.87 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 54.37/22.87 c(a)(a(b)(b(c)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 54.37/22.87 c(b)(b(b)(b(a)(x1))) -> c(a)(x1) 54.37/22.87 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 54.37/22.87 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 54.37/22.87 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 54.37/22.87 Polynomial Interpretation Processor: 54.37/22.87 dimension: 1 54.37/22.87 interpretation: 54.37/22.87 [c(c)](x0) = x0, 54.37/22.87 54.37/22.87 [c(b)](x0) = x0, 54.37/22.87 54.37/22.87 [c(a)](x0) = x0, 54.37/22.87 54.37/22.87 [a(c)](x0) = x0, 54.37/22.87 54.37/22.87 [b(c)](x0) = x0, 54.37/22.87 54.37/22.87 [a(b)](x0) = x0, 54.37/22.87 54.37/22.87 [b(b)](x0) = x0, 54.37/22.87 54.37/22.87 [a(a)](x0) = x0, 54.37/22.87 54.37/22.87 [b(a)](x0) = x0, 54.37/22.87 54.37/22.87 [a(f6)](x0) = x0, 54.37/22.87 54.37/22.87 [f6(a)](x0) = x0, 54.37/22.87 54.37/22.87 [b(f6)](x0) = x0, 54.37/22.87 54.37/22.87 [f6(b)](x0) = x0 + 1, 54.37/22.87 54.37/22.87 [a{#,(f6)}](x0) = x0 54.37/22.87 orientation: 54.37/22.87 a{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(f6)(x1))) 54.37/22.87 54.37/22.87 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(a)(x1))) 54.37/22.87 54.37/22.87 a{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(b)(x1))) 54.37/22.87 54.37/22.87 a{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(a(c)(x1))) 54.37/22.87 54.37/22.87 a{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f6)}(f6(a)(x1)) 54.37/22.87 54.37/22.87 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 54.37/22.87 54.37/22.87 a(a)(a(f6)(x1)) = x1 >= x1 = a(f6)(x1) 54.37/22.87 54.37/22.87 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 54.37/22.87 54.37/22.87 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 54.37/22.87 54.37/22.87 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 54.37/22.87 54.37/22.87 b(a)(a(f6)(x1)) = x1 >= x1 = b(f6)(x1) 54.37/22.87 54.37/22.87 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 54.37/22.87 54.37/22.87 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 54.37/22.87 54.37/22.87 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 54.37/22.87 54.37/22.87 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 54.37/22.87 54.37/22.87 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 54.37/22.87 54.37/22.87 a(a)(a(b)(b(f6)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 54.37/22.87 54.37/22.87 a(a)(a(b)(b(a)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 54.37/22.87 54.37/22.87 a(a)(a(b)(b(b)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 54.37/22.87 54.37/22.87 a(a)(a(b)(b(c)(x1))) = x1 >= x1 = a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 54.37/22.87 54.37/22.87 b(a)(a(b)(b(f6)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 54.37/22.87 54.37/22.87 b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 54.37/22.87 54.37/22.87 b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 54.37/22.87 54.37/22.87 b(a)(a(b)(b(c)(x1))) = x1 >= x1 = b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 54.37/22.87 54.37/22.87 c(a)(a(b)(b(f6)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 54.37/22.87 54.37/22.87 c(a)(a(b)(b(a)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 54.37/22.87 54.37/22.87 c(a)(a(b)(b(b)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 54.37/22.87 54.37/22.87 c(a)(a(b)(b(c)(x1))) = x1 >= x1 = c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 54.37/22.87 54.37/22.87 c(b)(b(b)(b(a)(x1))) = x1 >= x1 = c(a)(x1) 54.37/22.87 54.37/22.87 c(b)(b(b)(b(c)(x1))) = x1 >= x1 = c(c)(x1) 54.37/22.87 54.37/22.87 a(c)(c(c)(c(b)(x1))) = x1 >= x1 = a(b)(x1) 54.37/22.87 54.37/22.87 b(c)(c(c)(c(b)(x1))) = x1 >= x1 = b(b)(x1) 54.37/22.87 problem: 54.37/22.87 DPs: 54.37/22.87 54.37/22.87 TRS: 54.37/22.87 f6(a)(a(a)(x1)) -> f6(a)(x1) 54.37/22.87 a(a)(a(f6)(x1)) -> a(f6)(x1) 54.37/22.87 a(a)(a(a)(x1)) -> a(a)(x1) 54.37/22.87 a(a)(a(b)(x1)) -> a(b)(x1) 54.37/22.87 a(a)(a(c)(x1)) -> a(c)(x1) 54.37/22.87 b(a)(a(f6)(x1)) -> b(f6)(x1) 54.37/22.87 b(a)(a(a)(x1)) -> b(a)(x1) 54.37/22.87 b(a)(a(b)(x1)) -> b(b)(x1) 54.37/22.87 b(a)(a(c)(x1)) -> b(c)(x1) 54.37/22.87 c(a)(a(a)(x1)) -> c(a)(x1) 54.37/22.87 c(a)(a(c)(x1)) -> c(c)(x1) 54.37/22.87 a(a)(a(b)(b(f6)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 54.37/22.87 a(a)(a(b)(b(a)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 54.37/22.87 a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 54.37/22.87 a(a)(a(b)(b(c)(x1))) -> a(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 54.37/22.87 b(a)(a(b)(b(f6)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 54.37/22.87 b(a)(a(b)(b(a)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 54.37/22.87 b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 54.37/22.87 b(a)(a(b)(b(c)(x1))) -> b(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 54.37/22.87 c(a)(a(b)(b(f6)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1)))))) 54.37/22.87 c(a)(a(b)(b(a)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1)))))) 54.37/22.87 c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1)))))) 54.37/22.87 c(a)(a(b)(b(c)(x1))) -> c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1)))))) 54.37/22.87 c(b)(b(b)(b(a)(x1))) -> c(a)(x1) 54.37/22.87 c(b)(b(b)(b(c)(x1))) -> c(c)(x1) 54.37/22.87 a(c)(c(c)(c(b)(x1))) -> a(b)(x1) 54.37/22.87 b(c)(c(c)(c(b)(x1))) -> b(b)(x1) 54.37/22.87 Qed 54.37/22.88 EOF