180.55/46.19 YES 180.55/46.21 180.55/46.21 Problem: 180.55/46.21 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.21 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.21 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.21 180.55/46.21 Proof: 180.55/46.21 DP Processor: 180.55/46.21 DPs: 180.55/46.21 b#(a(a(b(x1)))) -> a#(x1) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.21 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.21 b#(b(a(b(x1)))) -> a#(x1) 180.55/46.21 b#(b(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.21 TRS: 180.55/46.21 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.21 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.21 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.21 TDG Processor: 180.55/46.21 DPs: 180.55/46.21 b#(a(a(b(x1)))) -> a#(x1) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.21 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.21 b#(b(a(b(x1)))) -> a#(x1) 180.55/46.21 b#(b(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.21 TRS: 180.55/46.21 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.21 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.21 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.21 graph: 180.55/46.21 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) -> 180.55/46.21 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.21 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) -> 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.21 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) -> a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(x1) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(x1) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> 180.55/46.21 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> 180.55/46.21 b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> b#(b(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> b#(b(a(b(x1)))) -> a#(x1) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> 180.55/46.21 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> b#(a(a(b(x1)))) -> a#(x1) 180.55/46.21 b#(a(a(b(x1)))) -> a#(b(a(x1))) -> 180.55/46.21 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.21 b#(a(a(b(x1)))) -> a#(b(a(x1))) -> 180.55/46.21 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.21 b#(a(a(b(x1)))) -> a#(b(a(x1))) -> a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.21 b#(a(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.21 b#(a(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.21 b#(a(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.21 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.21 b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.21 b#(b(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.21 b#(b(a(b(x1)))) -> a#(x1) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.21 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> b#(a(a(b(x1)))) -> a#(x1) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(x1) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.21 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(x1) 180.55/46.21 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> 180.55/46.22 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> 180.55/46.22 a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.22 b#(b(a(b(x1)))) -> a#(b(a(x1))) -> 180.55/46.22 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(b(a(x1))) -> 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(b(a(x1))) -> a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.22 b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.22 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.22 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.22 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> b#(a(x1)) 180.55/46.22 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(x1) 180.55/46.22 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.22 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.22 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.22 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(x1) 180.55/46.22 EDG Processor: 180.55/46.22 DPs: 180.55/46.22 b#(a(a(b(x1)))) -> a#(x1) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.22 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.22 a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.22 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(x1) 180.55/46.22 b#(b(a(b(x1)))) -> b#(a(x1)) 180.55/46.22 b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.22 TRS: 180.55/46.22 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.22 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.22 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.22 graph: 180.55/46.22 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) -> 180.55/46.22 a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.22 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) -> 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.22 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) -> 180.55/46.22 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.22 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(x1) 180.55/46.22 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.22 a#(a(a(a(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.22 a#(a(a(a(x1)))) -> b#(a(x1)) -> 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> b#(a(a(b(x1)))) -> a#(x1) 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> 180.55/46.22 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> b#(b(a(b(x1)))) -> a#(x1) 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> b#(b(a(b(x1)))) -> b#(a(x1)) 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> 180.55/46.22 b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) -> 180.55/46.22 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.22 b#(a(a(b(x1)))) -> a#(b(a(x1))) -> a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.22 b#(a(a(b(x1)))) -> a#(b(a(x1))) -> 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.22 b#(a(a(b(x1)))) -> a#(b(a(x1))) -> a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.22 b#(a(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.22 b#(a(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.22 b#(a(a(b(x1)))) -> a#(x1) -> 180.55/46.22 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.22 b#(a(a(b(x1)))) -> a#(x1) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.22 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(x1) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(x1)) -> 180.55/46.22 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> 180.55/46.22 a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.22 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> 180.55/46.22 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> 180.55/46.22 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.22 b#(b(a(b(x1)))) -> a#(b(a(x1))) -> a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.23 b#(b(a(b(x1)))) -> a#(b(a(x1))) -> 180.55/46.23 a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(b(a(x1))) -> a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(a(x1)) 180.55/46.23 b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(b(a(x1))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(x1) 180.55/46.23 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(x1)) 180.55/46.23 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.23 b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.23 Arctic Interpretation Processor: 180.55/46.23 dimension: 1 180.55/46.23 usable rules: 180.55/46.23 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.23 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.23 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.23 interpretation: 180.55/46.23 [a#](x0) = x0 + 3, 180.55/46.23 180.55/46.23 [b#](x0) = x0 + 0, 180.55/46.23 180.55/46.23 [a](x0) = 1x0 + 1, 180.55/46.23 180.55/46.23 [b](x0) = 1x0 + 1 180.55/46.23 orientation: 180.55/46.23 b#(a(a(b(x1)))) = 3x1 + 3 >= x1 + 3 = a#(x1) 180.55/46.23 180.55/46.23 b#(a(a(b(x1)))) = 3x1 + 3 >= 1x1 + 1 = b#(a(x1)) 180.55/46.23 180.55/46.23 b#(a(a(b(x1)))) = 3x1 + 3 >= 2x1 + 3 = a#(b(a(x1))) 180.55/46.23 180.55/46.23 b#(a(a(b(x1)))) = 3x1 + 3 >= 3x1 + 3 = b#(a(b(a(x1)))) 180.55/46.23 180.55/46.23 a#(a(a(a(x1)))) = 3x1 + 3 >= 1x1 + 1 = b#(a(x1)) 180.55/46.23 180.55/46.23 a#(a(a(a(x1)))) = 3x1 + 3 >= 2x1 + 2 = b#(b(a(x1))) 180.55/46.23 180.55/46.23 a#(a(a(a(x1)))) = 3x1 + 3 >= 3x1 + 3 = a#(b(b(a(x1)))) 180.55/46.23 180.55/46.23 b#(b(a(b(x1)))) = 3x1 + 3 >= x1 + 3 = a#(x1) 180.55/46.23 180.55/46.23 b#(b(a(b(x1)))) = 3x1 + 3 >= 1x1 + 1 = b#(a(x1)) 180.55/46.23 180.55/46.23 b#(b(a(b(x1)))) = 3x1 + 3 >= 2x1 + 3 = a#(b(a(x1))) 180.55/46.23 180.55/46.23 b#(b(a(b(x1)))) = 3x1 + 3 >= 3x1 + 3 = a#(a(b(a(x1)))) 180.55/46.23 180.55/46.23 b(a(a(b(x1)))) = 4x1 + 4 >= 4x1 + 4 = b(a(b(a(x1)))) 180.55/46.23 180.55/46.23 a(a(a(a(x1)))) = 4x1 + 4 >= 4x1 + 4 = a(b(b(a(x1)))) 180.55/46.23 180.55/46.23 b(b(a(b(x1)))) = 4x1 + 4 >= 4x1 + 4 = a(a(b(a(x1)))) 180.55/46.23 problem: 180.55/46.23 DPs: 180.55/46.23 b#(a(a(b(x1)))) -> a#(x1) 180.55/46.23 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.23 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.23 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(x1) 180.55/46.23 b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.23 TRS: 180.55/46.23 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.23 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.23 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.23 Restore Modifier: 180.55/46.23 DPs: 180.55/46.23 b#(a(a(b(x1)))) -> a#(x1) 180.55/46.23 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.23 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.23 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(x1) 180.55/46.23 b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.23 TRS: 180.55/46.23 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.23 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.23 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.23 EDG Processor: 180.55/46.23 DPs: 180.55/46.23 b#(a(a(b(x1)))) -> a#(x1) 180.55/46.23 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.23 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.23 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(x1) 180.55/46.23 b#(b(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 180.55/46.23 TRS: 180.55/46.23 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.23 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.23 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.23 graph: 180.55/46.23 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) -> 180.55/46.23 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(a(a(b(x1)))) -> a#(b(a(x1))) -> 180.55/46.23 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(a(a(b(x1)))) -> a#(x1) -> 180.55/46.23 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.23 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.23 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.23 b#(a(a(b(x1)))) -> a#(b(a(x1))) 180.55/46.23 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> 180.55/46.23 b#(a(a(b(x1)))) -> a#(x1) 180.55/46.23 b#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> 180.55/46.23 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(b(a(x1))) -> 180.55/46.23 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.23 SCC Processor: 180.55/46.23 #sccs: 2 180.55/46.23 #rules: 2 180.55/46.23 #arcs: 9/49 180.55/46.23 DPs: 180.55/46.23 b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) 180.55/46.24 TRS: 180.55/46.24 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.24 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.24 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.24 Bounds Processor: 180.55/46.24 bound: 0 180.55/46.24 enrichment: match-dp 180.55/46.24 automaton: 180.55/46.24 final states: {4} 180.55/46.24 transitions: 180.55/46.24 b0(5) -> 6* 180.55/46.24 b0(2) -> 1* 180.55/46.24 b0(1) -> 1* 180.55/46.24 b{#,0}(7) -> 4* 180.55/46.24 a0(2) -> 2* 180.55/46.24 a0(6) -> 7* 180.55/46.24 a0(1) -> 2* 180.55/46.24 a0(3) -> 5* 180.55/46.24 1 -> 3* 180.55/46.24 2 -> 1,3 180.55/46.24 problem: 180.55/46.24 DPs: 180.55/46.24 180.55/46.24 TRS: 180.55/46.24 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.24 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.24 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.24 Qed 180.55/46.24 180.55/46.24 DPs: 180.55/46.24 a#(a(a(a(x1)))) -> a#(b(b(a(x1)))) 180.55/46.24 TRS: 180.55/46.24 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.24 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.24 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.24 Bounds Processor: 180.55/46.24 bound: 1 180.55/46.24 enrichment: match-dp 180.55/46.24 automaton: 180.55/46.24 final states: {4} 180.55/46.24 transitions: 180.55/46.24 b0(5) -> 6* 180.55/46.24 b0(2) -> 1* 180.55/46.24 b0(6) -> 7* 180.55/46.24 b0(1) -> 1* 180.55/46.24 a{#,0}(7) -> 4* 180.55/46.24 a{#,1}(11) -> 12* 180.55/46.24 b1(40) -> 41* 180.55/46.24 b1(10) -> 11* 180.55/46.24 b1(9) -> 10* 180.55/46.24 a1(20) -> 21* 180.55/46.24 a1(42) -> 43* 180.55/46.24 a1(32) -> 33* 180.55/46.24 a1(22) -> 23* 180.55/46.24 a1(34) -> 35* 180.55/46.24 a1(28) -> 29* 180.55/46.24 a1(8) -> 9* 180.55/46.24 a0(2) -> 2* 180.55/46.24 a0(1) -> 2* 180.55/46.24 a0(3) -> 5* 180.55/46.24 1 -> 20,3 180.55/46.24 2 -> 8,7,1,3 180.55/46.24 9 -> 34* 180.55/46.24 10 -> 41,22 180.55/46.24 11 -> 28* 180.55/46.24 12 -> 4* 180.55/46.24 21 -> 9* 180.55/46.24 23 -> 32,9 180.55/46.24 29 -> 35,21,9 180.55/46.24 33 -> 40,11 180.55/46.24 35 -> 9* 180.55/46.24 40 -> 42* 180.55/46.24 41 -> 10* 180.55/46.24 43 -> 9* 180.55/46.24 problem: 180.55/46.24 DPs: 180.55/46.24 180.55/46.24 TRS: 180.55/46.24 b(a(a(b(x1)))) -> b(a(b(a(x1)))) 180.55/46.24 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 180.55/46.24 b(b(a(b(x1)))) -> a(a(b(a(x1)))) 180.55/46.24 Qed 180.80/46.24 EOF