41.44/10.81 YES 41.44/10.82 41.44/10.82 Problem: 41.44/10.82 a(x1) -> x1 41.44/10.82 a(a(x1)) -> a(b(x1)) 41.44/10.82 b(x1) -> x1 41.44/10.82 c(b(x1)) -> b(a(c(c(x1)))) 41.44/10.82 41.44/10.82 Proof: 41.44/10.82 DP Processor: 41.44/10.82 DPs: 41.44/10.82 a#(a(x1)) -> b#(x1) 41.44/10.82 a#(a(x1)) -> a#(b(x1)) 41.44/10.82 c#(b(x1)) -> c#(x1) 41.44/10.82 c#(b(x1)) -> c#(c(x1)) 41.44/10.82 c#(b(x1)) -> a#(c(c(x1))) 41.44/10.82 c#(b(x1)) -> b#(a(c(c(x1)))) 41.44/10.82 TRS: 41.44/10.82 a(x1) -> x1 41.44/10.82 a(a(x1)) -> a(b(x1)) 41.44/10.82 b(x1) -> x1 41.44/10.82 c(b(x1)) -> b(a(c(c(x1)))) 41.44/10.82 TDG Processor: 41.44/10.82 DPs: 41.44/10.82 a#(a(x1)) -> b#(x1) 41.44/10.82 a#(a(x1)) -> a#(b(x1)) 41.44/10.82 c#(b(x1)) -> c#(x1) 41.44/10.82 c#(b(x1)) -> c#(c(x1)) 41.44/10.82 c#(b(x1)) -> a#(c(c(x1))) 41.44/10.82 c#(b(x1)) -> b#(a(c(c(x1)))) 41.44/10.82 TRS: 41.44/10.82 a(x1) -> x1 41.44/10.82 a(a(x1)) -> a(b(x1)) 41.44/10.82 b(x1) -> x1 41.44/10.82 c(b(x1)) -> b(a(c(c(x1)))) 41.44/10.82 graph: 41.44/10.82 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> b#(a(c(c(x1)))) 41.44/10.82 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(c(c(x1))) 41.44/10.82 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(c(x1)) 41.44/10.82 c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(x1) 41.44/10.82 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(a(c(c(x1)))) 41.44/10.82 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(c(x1))) 41.44/10.82 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(c(x1)) 41.44/10.82 c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) 41.44/10.82 c#(b(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> a#(b(x1)) 41.44/10.82 c#(b(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> b#(x1) 41.44/10.82 a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) 41.44/10.82 a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(x1) 41.44/10.82 SCC Processor: 41.44/10.82 #sccs: 2 41.44/10.82 #rules: 3 41.44/10.82 #arcs: 12/36 41.44/10.82 DPs: 41.44/10.82 c#(b(x1)) -> c#(c(x1)) 41.44/10.82 c#(b(x1)) -> c#(x1) 41.44/10.82 TRS: 41.44/10.82 a(x1) -> x1 41.44/10.82 a(a(x1)) -> a(b(x1)) 41.44/10.82 b(x1) -> x1 41.44/10.82 c(b(x1)) -> b(a(c(c(x1)))) 41.44/10.82 Root-Labeling Processor: 41.44/10.82 DPs: 41.44/10.82 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(c)(c(f6)(x1))) 41.44/10.82 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(c)(c(a)(x1))) 41.44/10.82 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(c)(c(b)(x1))) 41.44/10.82 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(c(c)(x1))) 41.44/10.82 c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) 41.44/10.82 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.44/10.82 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.44/10.82 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.44/10.82 TRS: 41.44/10.82 f6(a)(a(f6)(x1)) -> f6(f6)(x1) 41.44/10.82 f6(a)(a(a)(x1)) -> f6(a)(x1) 41.44/10.82 f6(a)(a(b)(x1)) -> f6(b)(x1) 41.44/10.82 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.44/10.82 a(a)(a(f6)(x1)) -> a(f6)(x1) 41.44/10.82 a(a)(a(a)(x1)) -> a(a)(x1) 41.44/10.82 a(a)(a(b)(x1)) -> a(b)(x1) 41.44/10.82 a(a)(a(c)(x1)) -> a(c)(x1) 41.44/10.82 b(a)(a(f6)(x1)) -> b(f6)(x1) 41.44/10.82 b(a)(a(a)(x1)) -> b(a)(x1) 41.44/10.82 b(a)(a(b)(x1)) -> b(b)(x1) 41.44/10.82 b(a)(a(c)(x1)) -> b(c)(x1) 41.44/10.82 c(a)(a(f6)(x1)) -> c(f6)(x1) 41.44/10.82 c(a)(a(a)(x1)) -> c(a)(x1) 41.44/10.82 c(a)(a(b)(x1)) -> c(b)(x1) 41.44/10.82 c(a)(a(c)(x1)) -> c(c)(x1) 41.44/10.82 a(a)(a(f6)(x1)) -> a(b)(b(f6)(x1)) 41.44/10.82 a(a)(a(a)(x1)) -> a(b)(b(a)(x1)) 41.44/10.82 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 41.44/10.82 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 41.44/10.82 f6(b)(b(f6)(x1)) -> f6(f6)(x1) 41.44/10.82 f6(b)(b(a)(x1)) -> f6(a)(x1) 41.44/10.82 f6(b)(b(b)(x1)) -> f6(b)(x1) 41.44/10.82 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.44/10.82 a(b)(b(f6)(x1)) -> a(f6)(x1) 41.44/10.82 a(b)(b(a)(x1)) -> a(a)(x1) 41.44/10.82 a(b)(b(b)(x1)) -> a(b)(x1) 41.44/10.82 a(b)(b(c)(x1)) -> a(c)(x1) 41.44/10.82 b(b)(b(f6)(x1)) -> b(f6)(x1) 41.44/10.82 b(b)(b(a)(x1)) -> b(a)(x1) 41.44/10.82 b(b)(b(b)(x1)) -> b(b)(x1) 41.44/10.82 b(b)(b(c)(x1)) -> b(c)(x1) 41.44/10.82 c(b)(b(f6)(x1)) -> c(f6)(x1) 41.44/10.82 c(b)(b(a)(x1)) -> c(a)(x1) 41.44/10.82 c(b)(b(b)(x1)) -> c(b)(x1) 41.44/10.82 c(b)(b(c)(x1)) -> c(c)(x1) 41.44/10.82 f6(c)(c(b)(b(f6)(x1))) -> f6(b)(b(a)(a(c)(c(c)(c(f6)(x1))))) 41.44/10.82 f6(c)(c(b)(b(a)(x1))) -> f6(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.44/10.82 f6(c)(c(b)(b(b)(x1))) -> f6(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.44/10.82 f6(c)(c(b)(b(c)(x1))) -> f6(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.44/10.82 a(c)(c(b)(b(f6)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(f6)(x1))))) 41.44/10.82 a(c)(c(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.44/10.82 a(c)(c(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.44/10.82 a(c)(c(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.44/10.82 b(c)(c(b)(b(f6)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(f6)(x1))))) 41.44/10.82 b(c)(c(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.44/10.82 b(c)(c(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.44/10.82 b(c)(c(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.44/10.82 c(c)(c(b)(b(f6)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(f6)(x1))))) 41.66/10.92 c(c)(c(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.66/10.92 c(c)(c(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.66/10.92 c(c)(c(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.66/10.92 Polynomial Interpretation Processor: 41.66/10.92 dimension: 1 41.66/10.92 interpretation: 41.66/10.92 [a(c)](x0) = x0, 41.66/10.92 41.66/10.92 [a(b)](x0) = x0, 41.66/10.92 41.66/10.92 [a(a)](x0) = x0, 41.66/10.92 41.66/10.92 [a(f6)](x0) = x0 + 1, 41.66/10.92 41.66/10.92 [f6(a)](x0) = x0, 41.66/10.92 41.66/10.92 [f6(f6)](x0) = x0, 41.66/10.92 41.66/10.92 [c(c)](x0) = x0, 41.66/10.92 41.66/10.92 [b(c)](x0) = x0, 41.66/10.92 41.66/10.92 [c(b)](x0) = x0, 41.66/10.92 41.66/10.92 [b(b)](x0) = x0, 41.66/10.92 41.66/10.92 [c(a)](x0) = x0, 41.66/10.92 41.66/10.92 [b(a)](x0) = x0, 41.66/10.92 41.66/10.92 [c(f6)](x0) = x0, 41.66/10.92 41.66/10.92 [f6(c)](x0) = x0, 41.66/10.92 41.66/10.92 [b(f6)](x0) = x0 + 1, 41.66/10.92 41.66/10.92 [f6(b)](x0) = x0, 41.66/10.92 41.66/10.92 [c{#,(f6)}](x0) = x0 41.66/10.92 orientation: 41.66/10.92 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(c)(c(f6)(x1))) 41.66/10.92 41.66/10.92 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(c(a)(x1))) 41.66/10.92 41.66/10.92 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(c(b)(x1))) 41.66/10.92 41.66/10.92 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(c(c)(x1))) 41.66/10.92 41.66/10.92 c{#,(f6)}(f6(b)(b(f6)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(f6)(x1)) 41.66/10.92 41.66/10.92 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = c{#,(f6)}(f6(a)(x1)) 41.66/10.92 41.66/10.92 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 >= x1 = c{#,(f6)}(f6(b)(x1)) 41.66/10.92 41.66/10.92 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(x1)) 41.66/10.92 41.66/10.92 f6(a)(a(f6)(x1)) = x1 + 1 >= x1 = f6(f6)(x1) 41.66/10.92 41.66/10.92 f6(a)(a(a)(x1)) = x1 >= x1 = f6(a)(x1) 41.66/10.92 41.66/10.92 f6(a)(a(b)(x1)) = x1 >= x1 = f6(b)(x1) 41.66/10.92 41.66/10.92 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.66/10.92 41.66/10.92 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 41.66/10.92 41.66/10.92 a(a)(a(a)(x1)) = x1 >= x1 = a(a)(x1) 41.66/10.92 41.66/10.92 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(x1) 41.66/10.92 41.66/10.92 a(a)(a(c)(x1)) = x1 >= x1 = a(c)(x1) 41.66/10.92 41.66/10.92 b(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 41.66/10.92 41.66/10.92 b(a)(a(a)(x1)) = x1 >= x1 = b(a)(x1) 41.66/10.92 41.66/10.92 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 41.66/10.92 41.66/10.92 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 41.66/10.92 41.66/10.92 c(a)(a(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1) 41.66/10.92 41.66/10.92 c(a)(a(a)(x1)) = x1 >= x1 = c(a)(x1) 41.66/10.92 41.66/10.92 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1) 41.66/10.92 41.66/10.92 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 41.66/10.92 41.66/10.92 a(a)(a(f6)(x1)) = x1 + 1 >= x1 + 1 = a(b)(b(f6)(x1)) 41.66/10.92 41.66/10.92 a(a)(a(a)(x1)) = x1 >= x1 = a(b)(b(a)(x1)) 41.66/10.92 41.66/10.92 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(b(b)(x1)) 41.66/10.92 41.66/10.92 a(a)(a(c)(x1)) = x1 >= x1 = a(b)(b(c)(x1)) 41.66/10.92 41.66/10.92 f6(b)(b(f6)(x1)) = x1 + 1 >= x1 = f6(f6)(x1) 41.66/10.92 41.66/10.92 f6(b)(b(a)(x1)) = x1 >= x1 = f6(a)(x1) 41.66/10.92 41.66/10.92 f6(b)(b(b)(x1)) = x1 >= x1 = f6(b)(x1) 41.66/10.92 41.66/10.92 f6(b)(b(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.66/10.92 41.66/10.92 a(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 41.66/10.92 41.66/10.92 a(b)(b(a)(x1)) = x1 >= x1 = a(a)(x1) 41.66/10.92 41.66/10.92 a(b)(b(b)(x1)) = x1 >= x1 = a(b)(x1) 41.66/10.92 41.66/10.92 a(b)(b(c)(x1)) = x1 >= x1 = a(c)(x1) 41.66/10.92 41.66/10.92 b(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = b(f6)(x1) 41.66/10.92 41.66/10.92 b(b)(b(a)(x1)) = x1 >= x1 = b(a)(x1) 41.66/10.92 41.66/10.92 b(b)(b(b)(x1)) = x1 >= x1 = b(b)(x1) 41.66/10.92 41.66/10.92 b(b)(b(c)(x1)) = x1 >= x1 = b(c)(x1) 41.66/10.92 41.66/10.92 c(b)(b(f6)(x1)) = x1 + 1 >= x1 = c(f6)(x1) 41.66/10.92 41.66/10.92 c(b)(b(a)(x1)) = x1 >= x1 = c(a)(x1) 41.66/10.92 41.66/10.92 c(b)(b(b)(x1)) = x1 >= x1 = c(b)(x1) 41.66/10.92 41.66/10.92 c(b)(b(c)(x1)) = x1 >= x1 = c(c)(x1) 41.66/10.92 41.66/10.92 f6(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 = f6(b)(b(a)(a(c)(c(c)(c(f6)(x1))))) 41.66/10.92 41.66/10.92 f6(c)(c(b)(b(a)(x1))) = x1 >= x1 = f6(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.66/10.92 41.66/10.92 f6(c)(c(b)(b(b)(x1))) = x1 >= x1 = f6(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.66/10.92 41.66/10.92 f6(c)(c(b)(b(c)(x1))) = x1 >= x1 = f6(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.66/10.92 41.66/10.92 a(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 = a(b)(b(a)(a(c)(c(c)(c(f6)(x1))))) 41.66/10.92 41.66/10.92 a(c)(c(b)(b(a)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.66/10.92 41.66/10.92 a(c)(c(b)(b(b)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.77/11.05 41.77/11.05 a(c)(c(b)(b(c)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.77/11.05 41.77/11.05 b(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 = b(b)(b(a)(a(c)(c(c)(c(f6)(x1))))) 41.77/11.05 41.77/11.05 b(c)(c(b)(b(a)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.77/11.05 41.77/11.05 b(c)(c(b)(b(b)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.77/11.05 41.77/11.05 b(c)(c(b)(b(c)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.77/11.05 41.77/11.05 c(c)(c(b)(b(f6)(x1))) = x1 + 1 >= x1 = c(b)(b(a)(a(c)(c(c)(c(f6)(x1))))) 41.77/11.05 41.77/11.05 c(c)(c(b)(b(a)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.77/11.05 41.77/11.05 c(c)(c(b)(b(b)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.77/11.05 41.77/11.05 c(c)(c(b)(b(c)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.77/11.05 problem: 41.77/11.05 DPs: 41.77/11.05 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(c)(c(a)(x1))) 41.77/11.05 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(c)(c(b)(x1))) 41.77/11.05 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(c(c)(x1))) 41.77/11.05 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.77/11.05 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) 41.77/11.05 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.77/11.05 TRS: 41.77/11.05 f6(a)(a(a)(x1)) -> f6(a)(x1) 41.77/11.05 f6(a)(a(b)(x1)) -> f6(b)(x1) 41.77/11.05 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.77/11.05 a(a)(a(f6)(x1)) -> a(f6)(x1) 41.77/11.05 a(a)(a(a)(x1)) -> a(a)(x1) 41.77/11.05 a(a)(a(b)(x1)) -> a(b)(x1) 41.77/11.05 a(a)(a(c)(x1)) -> a(c)(x1) 41.77/11.05 b(a)(a(f6)(x1)) -> b(f6)(x1) 41.77/11.05 b(a)(a(a)(x1)) -> b(a)(x1) 41.77/11.05 b(a)(a(b)(x1)) -> b(b)(x1) 41.77/11.05 b(a)(a(c)(x1)) -> b(c)(x1) 41.77/11.05 c(a)(a(a)(x1)) -> c(a)(x1) 41.77/11.05 c(a)(a(b)(x1)) -> c(b)(x1) 41.77/11.05 c(a)(a(c)(x1)) -> c(c)(x1) 41.77/11.05 a(a)(a(f6)(x1)) -> a(b)(b(f6)(x1)) 41.77/11.05 a(a)(a(a)(x1)) -> a(b)(b(a)(x1)) 41.77/11.05 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 41.77/11.05 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 41.77/11.05 f6(b)(b(a)(x1)) -> f6(a)(x1) 41.77/11.05 f6(b)(b(b)(x1)) -> f6(b)(x1) 41.77/11.05 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.77/11.05 a(b)(b(f6)(x1)) -> a(f6)(x1) 41.77/11.05 a(b)(b(a)(x1)) -> a(a)(x1) 41.77/11.05 a(b)(b(b)(x1)) -> a(b)(x1) 41.77/11.05 a(b)(b(c)(x1)) -> a(c)(x1) 41.77/11.05 b(b)(b(f6)(x1)) -> b(f6)(x1) 41.77/11.05 b(b)(b(a)(x1)) -> b(a)(x1) 41.77/11.05 b(b)(b(b)(x1)) -> b(b)(x1) 41.77/11.05 b(b)(b(c)(x1)) -> b(c)(x1) 41.77/11.05 c(b)(b(a)(x1)) -> c(a)(x1) 41.77/11.05 c(b)(b(b)(x1)) -> c(b)(x1) 41.77/11.05 c(b)(b(c)(x1)) -> c(c)(x1) 41.77/11.05 f6(c)(c(b)(b(a)(x1))) -> f6(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.77/11.05 f6(c)(c(b)(b(b)(x1))) -> f6(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.77/11.05 f6(c)(c(b)(b(c)(x1))) -> f6(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.77/11.05 a(c)(c(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.77/11.05 a(c)(c(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.77/11.05 a(c)(c(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.77/11.05 b(c)(c(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.77/11.05 b(c)(c(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.77/11.05 b(c)(c(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.77/11.05 c(c)(c(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.77/11.05 c(c)(c(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.77/11.05 c(c)(c(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.77/11.05 Polynomial Interpretation Processor: 41.77/11.05 dimension: 1 41.77/11.05 interpretation: 41.77/11.05 [a(c)](x0) = x0, 41.77/11.05 41.77/11.05 [a(b)](x0) = x0 + 1, 41.77/11.05 41.77/11.05 [a(a)](x0) = x0 + 1, 41.77/11.05 41.77/11.05 [a(f6)](x0) = x0 + 1, 41.77/11.05 41.77/11.05 [f6(a)](x0) = x0, 41.77/11.05 41.77/11.05 [c(c)](x0) = x0, 41.77/11.05 41.77/11.05 [b(c)](x0) = x0, 41.77/11.05 41.77/11.05 [c(b)](x0) = x0 + 1, 41.77/11.05 41.77/11.05 [b(b)](x0) = x0 + 1, 41.77/11.05 41.77/11.05 [c(a)](x0) = x0, 41.77/11.05 41.77/11.05 [b(a)](x0) = x0, 41.77/11.05 41.77/11.05 [f6(c)](x0) = x0, 41.77/11.05 41.77/11.05 [b(f6)](x0) = x0, 41.77/11.05 41.77/11.05 [f6(b)](x0) = x0, 41.77/11.05 41.77/11.05 [c{#,(f6)}](x0) = x0 41.77/11.05 orientation: 41.77/11.05 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(c(a)(x1))) 41.77/11.05 41.77/11.05 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(c)(c(b)(x1))) 41.77/11.05 41.77/11.05 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(c(c)(x1))) 41.77/11.05 41.77/11.05 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 >= x1 = c{#,(f6)}(f6(a)(x1)) 41.77/11.05 41.77/11.05 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(b)(x1)) 41.96/11.22 41.96/11.22 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 >= x1 = c{#,(f6)}(f6(c)(x1)) 41.96/11.22 41.96/11.22 f6(a)(a(a)(x1)) = x1 + 1 >= x1 = f6(a)(x1) 41.96/11.22 41.96/11.22 f6(a)(a(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 41.96/11.22 41.96/11.22 f6(a)(a(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.96/11.22 41.96/11.22 a(a)(a(f6)(x1)) = x1 + 2 >= x1 + 1 = a(f6)(x1) 41.96/11.22 41.96/11.22 a(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = a(a)(x1) 41.96/11.22 41.96/11.22 a(a)(a(b)(x1)) = x1 + 2 >= x1 + 1 = a(b)(x1) 41.96/11.22 41.96/11.22 a(a)(a(c)(x1)) = x1 + 1 >= x1 = a(c)(x1) 41.96/11.22 41.96/11.22 b(a)(a(f6)(x1)) = x1 + 1 >= x1 = b(f6)(x1) 41.96/11.22 41.96/11.22 b(a)(a(a)(x1)) = x1 + 1 >= x1 = b(a)(x1) 41.96/11.22 41.96/11.22 b(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = b(b)(x1) 41.96/11.22 41.96/11.22 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 41.96/11.22 41.96/11.22 c(a)(a(a)(x1)) = x1 + 1 >= x1 = c(a)(x1) 41.96/11.22 41.96/11.22 c(a)(a(b)(x1)) = x1 + 1 >= x1 + 1 = c(b)(x1) 41.96/11.22 41.96/11.22 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 41.96/11.22 41.96/11.22 a(a)(a(f6)(x1)) = x1 + 2 >= x1 + 1 = a(b)(b(f6)(x1)) 41.96/11.22 41.96/11.22 a(a)(a(a)(x1)) = x1 + 2 >= x1 + 1 = a(b)(b(a)(x1)) 41.96/11.22 41.96/11.22 a(a)(a(b)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(b)(x1)) 41.96/11.22 41.96/11.22 a(a)(a(c)(x1)) = x1 + 1 >= x1 + 1 = a(b)(b(c)(x1)) 41.96/11.22 41.96/11.22 f6(b)(b(a)(x1)) = x1 >= x1 = f6(a)(x1) 41.96/11.22 41.96/11.22 f6(b)(b(b)(x1)) = x1 + 1 >= x1 = f6(b)(x1) 41.96/11.22 41.96/11.22 f6(b)(b(c)(x1)) = x1 >= x1 = f6(c)(x1) 41.96/11.22 41.96/11.22 a(b)(b(f6)(x1)) = x1 + 1 >= x1 + 1 = a(f6)(x1) 41.96/11.22 41.96/11.22 a(b)(b(a)(x1)) = x1 + 1 >= x1 + 1 = a(a)(x1) 41.96/11.22 41.96/11.22 a(b)(b(b)(x1)) = x1 + 2 >= x1 + 1 = a(b)(x1) 41.96/11.22 41.96/11.22 a(b)(b(c)(x1)) = x1 + 1 >= x1 = a(c)(x1) 41.96/11.22 41.96/11.22 b(b)(b(f6)(x1)) = x1 + 1 >= x1 = b(f6)(x1) 41.96/11.22 41.96/11.22 b(b)(b(a)(x1)) = x1 + 1 >= x1 = b(a)(x1) 41.96/11.22 41.96/11.22 b(b)(b(b)(x1)) = x1 + 2 >= x1 + 1 = b(b)(x1) 41.96/11.22 41.96/11.22 b(b)(b(c)(x1)) = x1 + 1 >= x1 = b(c)(x1) 41.96/11.22 41.96/11.22 c(b)(b(a)(x1)) = x1 + 1 >= x1 = c(a)(x1) 41.96/11.22 41.96/11.22 c(b)(b(b)(x1)) = x1 + 2 >= x1 + 1 = c(b)(x1) 41.96/11.22 41.96/11.22 c(b)(b(c)(x1)) = x1 + 1 >= x1 = c(c)(x1) 41.96/11.22 41.96/11.22 f6(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 = f6(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.96/11.22 41.96/11.22 f6(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 1 = f6(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.96/11.22 41.96/11.22 f6(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 = f6(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.96/11.22 41.96/11.22 a(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.96/11.22 41.96/11.22 a(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = a(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.96/11.22 41.96/11.22 a(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = a(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.96/11.22 41.96/11.22 b(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = b(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.96/11.22 41.96/11.22 b(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = b(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.96/11.22 41.96/11.22 b(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = b(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.96/11.22 41.96/11.22 c(c)(c(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.96/11.22 41.96/11.22 c(c)(c(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = c(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 41.96/11.22 41.96/11.22 c(c)(c(b)(b(c)(x1))) = x1 + 1 >= x1 + 1 = c(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 41.96/11.22 problem: 41.96/11.22 DPs: 41.96/11.22 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(c)(c(a)(x1))) 41.96/11.22 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(c)(c(b)(x1))) 41.96/11.22 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(c(c)(x1))) 41.96/11.22 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 41.96/11.22 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 41.96/11.22 TRS: 41.96/11.22 f6(a)(a(c)(x1)) -> f6(c)(x1) 41.96/11.22 b(a)(a(b)(x1)) -> b(b)(x1) 41.96/11.22 b(a)(a(c)(x1)) -> b(c)(x1) 41.96/11.22 c(a)(a(b)(x1)) -> c(b)(x1) 41.96/11.22 c(a)(a(c)(x1)) -> c(c)(x1) 41.96/11.22 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 41.96/11.22 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 41.96/11.22 f6(b)(b(a)(x1)) -> f6(a)(x1) 41.96/11.22 f6(b)(b(c)(x1)) -> f6(c)(x1) 41.96/11.22 a(b)(b(f6)(x1)) -> a(f6)(x1) 41.96/11.22 a(b)(b(a)(x1)) -> a(a)(x1) 41.96/11.22 a(c)(c(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 41.96/11.22 a(c)(c(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 a(c)(c(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 b(c)(c(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 b(c)(c(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 b(c)(c(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 c(c)(c(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 c(c)(c(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 c(c)(c(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 Usable Rule Processor: 42.08/11.34 DPs: 42.08/11.34 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(c)(c(a)(x1))) 42.08/11.34 c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(c)(c(b)(x1))) 42.08/11.34 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(c(c)(x1))) 42.08/11.34 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 42.08/11.34 c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) 42.08/11.34 TRS: 42.08/11.34 c(a)(a(b)(x1)) -> c(b)(x1) 42.08/11.34 c(a)(a(c)(x1)) -> c(c)(x1) 42.08/11.34 c(c)(c(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 c(c)(c(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 c(c)(c(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 a(c)(c(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 a(c)(c(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 a(c)(c(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 a(b)(b(f6)(x1)) -> a(f6)(x1) 42.08/11.34 a(b)(b(a)(x1)) -> a(a)(x1) 42.08/11.34 b(a)(a(b)(x1)) -> b(b)(x1) 42.08/11.34 b(a)(a(c)(x1)) -> b(c)(x1) 42.08/11.34 b(c)(c(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 b(c)(c(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 b(c)(c(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 42.08/11.34 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 42.08/11.34 f6(a)(a(c)(x1)) -> f6(c)(x1) 42.08/11.34 Polynomial Interpretation Processor: 42.08/11.34 dimension: 1 42.08/11.34 interpretation: 42.08/11.34 [a(c)](x0) = x0, 42.08/11.34 42.08/11.34 [a(b)](x0) = x0, 42.08/11.34 42.08/11.34 [a(a)](x0) = x0, 42.08/11.34 42.08/11.34 [a(f6)](x0) = x0, 42.08/11.34 42.08/11.34 [f6(a)](x0) = x0 + 1, 42.08/11.34 42.08/11.34 [c(c)](x0) = x0, 42.08/11.34 42.08/11.34 [b(c)](x0) = x0, 42.08/11.34 42.08/11.34 [c(b)](x0) = x0, 42.08/11.34 42.08/11.34 [b(b)](x0) = x0, 42.08/11.34 42.08/11.34 [c(a)](x0) = x0, 42.08/11.34 42.08/11.34 [b(a)](x0) = x0, 42.08/11.34 42.08/11.34 [f6(c)](x0) = x0, 42.08/11.34 42.08/11.34 [b(f6)](x0) = x0, 42.08/11.34 42.08/11.34 [f6(b)](x0) = x0 + 1, 42.08/11.34 42.08/11.34 [c{#,(f6)}](x0) = x0 42.08/11.34 orientation: 42.08/11.34 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(c)(c(a)(x1))) 42.08/11.34 42.08/11.34 c{#,(f6)}(f6(b)(b(b)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(c)(c(b)(x1))) 42.08/11.34 42.08/11.34 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(c)(c(c)(x1))) 42.08/11.34 42.08/11.34 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f6)}(f6(a)(x1)) 42.08/11.34 42.08/11.34 c{#,(f6)}(f6(b)(b(c)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(c)(x1)) 42.08/11.34 42.08/11.34 c(a)(a(b)(x1)) = x1 >= x1 = c(b)(x1) 42.08/11.34 42.08/11.34 c(a)(a(c)(x1)) = x1 >= x1 = c(c)(x1) 42.08/11.34 42.08/11.34 c(c)(c(b)(b(a)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 42.08/11.34 c(c)(c(b)(b(b)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 42.08/11.34 c(c)(c(b)(b(c)(x1))) = x1 >= x1 = c(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 42.08/11.34 a(c)(c(b)(b(a)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 42.08/11.34 a(c)(c(b)(b(b)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 42.08/11.34 a(c)(c(b)(b(c)(x1))) = x1 >= x1 = a(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 42.08/11.34 a(b)(b(f6)(x1)) = x1 >= x1 = a(f6)(x1) 42.08/11.34 42.08/11.34 a(b)(b(a)(x1)) = x1 >= x1 = a(a)(x1) 42.08/11.34 42.08/11.34 b(a)(a(b)(x1)) = x1 >= x1 = b(b)(x1) 42.08/11.34 42.08/11.34 b(a)(a(c)(x1)) = x1 >= x1 = b(c)(x1) 42.08/11.34 42.08/11.34 b(c)(c(b)(b(a)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 42.08/11.34 b(c)(c(b)(b(b)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 42.08/11.34 b(c)(c(b)(b(c)(x1))) = x1 >= x1 = b(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 42.08/11.34 a(a)(a(b)(x1)) = x1 >= x1 = a(b)(b(b)(x1)) 42.08/11.34 42.08/11.34 a(a)(a(c)(x1)) = x1 >= x1 = a(b)(b(c)(x1)) 42.08/11.34 42.08/11.34 f6(a)(a(c)(x1)) = x1 + 1 >= x1 = f6(c)(x1) 42.08/11.34 problem: 42.08/11.34 DPs: 42.08/11.34 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 42.08/11.34 TRS: 42.08/11.34 c(a)(a(b)(x1)) -> c(b)(x1) 42.08/11.34 c(a)(a(c)(x1)) -> c(c)(x1) 42.08/11.34 c(c)(c(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 c(c)(c(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 c(c)(c(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 a(c)(c(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 a(c)(c(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 a(c)(c(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 a(b)(b(f6)(x1)) -> a(f6)(x1) 42.08/11.34 a(b)(b(a)(x1)) -> a(a)(x1) 42.08/11.34 b(a)(a(b)(x1)) -> b(b)(x1) 42.08/11.34 b(a)(a(c)(x1)) -> b(c)(x1) 42.08/11.34 b(c)(c(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(a)(x1))))) 42.08/11.34 b(c)(c(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(b)(x1))))) 42.08/11.34 b(c)(c(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(c)(c(c)(x1))))) 42.08/11.34 a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) 42.08/11.34 a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) 42.08/11.34 Usable Rule Processor: 42.08/11.34 DPs: 42.08/11.34 c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) 42.08/11.34 TRS: 42.08/11.34 42.08/11.34 Polynomial Interpretation Processor: 42.08/11.34 dimension: 1 42.08/11.34 interpretation: 42.08/11.34 [f6(a)](x0) = x0, 42.08/11.34 42.08/11.34 [b(a)](x0) = x0, 42.08/11.34 42.08/11.34 [f6(b)](x0) = x0 + 1, 42.08/11.34 42.08/11.34 [c{#,(f6)}](x0) = x0 42.08/11.34 orientation: 42.08/11.34 c{#,(f6)}(f6(b)(b(a)(x1))) = x1 + 1 >= x1 = c{#,(f6)}(f6(a)(x1)) 42.08/11.34 problem: 42.08/11.34 DPs: 42.08/11.34 42.08/11.34 TRS: 42.08/11.34 42.08/11.34 Qed 42.08/11.34 42.08/11.34 DPs: 42.08/11.34 a#(a(x1)) -> a#(b(x1)) 42.08/11.34 TRS: 42.08/11.34 a(x1) -> x1 42.08/11.34 a(a(x1)) -> a(b(x1)) 42.08/11.34 b(x1) -> x1 42.08/11.34 c(b(x1)) -> b(a(c(c(x1)))) 42.08/11.34 Usable Rule Processor: 42.08/11.34 DPs: 42.08/11.34 a#(a(x1)) -> a#(b(x1)) 42.08/11.34 TRS: 42.08/11.34 b(x1) -> x1 42.08/11.34 Polynomial Interpretation Processor: 42.08/11.34 dimension: 1 42.08/11.34 interpretation: 42.08/11.34 [a#](x0) = x0, 42.08/11.34 42.08/11.34 [b](x0) = x0 + 1, 42.08/11.34 42.08/11.34 [a](x0) = x0 + 1 42.08/11.34 orientation: 42.08/11.34 a#(a(x1)) = x1 + 1 >= x1 + 1 = a#(b(x1)) 42.08/11.34 42.08/11.34 b(x1) = x1 + 1 >= x1 = x1 42.08/11.34 problem: 42.08/11.34 DPs: 42.08/11.34 a#(a(x1)) -> a#(b(x1)) 42.08/11.34 TRS: 42.08/11.34 42.08/11.34 Polynomial Interpretation Processor: 42.08/11.34 dimension: 1 42.08/11.34 interpretation: 42.08/11.34 [a#](x0) = x0, 42.08/11.34 42.08/11.34 [b](x0) = x0, 42.08/11.34 42.08/11.34 [a](x0) = x0 + 1 42.08/11.34 orientation: 42.08/11.34 a#(a(x1)) = x1 + 1 >= x1 = a#(b(x1)) 42.08/11.34 problem: 42.08/11.34 DPs: 42.08/11.34 42.08/11.34 TRS: 42.08/11.34 42.08/11.34 Qed 42.08/11.35 EOF