180.22/46.15 YES 180.43/46.16 180.43/46.16 Problem: 180.43/46.16 a(b(b(b(x1)))) -> b(b(a(b(x1)))) 180.43/46.16 a(b(a(a(x1)))) -> b(a(b(a(x1)))) 180.43/46.16 b(b(a(a(x1)))) -> b(a(a(a(x1)))) 180.43/46.16 a(b(b(b(x1)))) -> a(b(a(a(x1)))) 180.43/46.16 180.43/46.16 Proof: 180.43/46.16 String Reversal Processor: 180.43/46.16 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.16 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.16 a(a(b(b(x1)))) -> a(a(a(b(x1)))) 180.43/46.16 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.16 Matrix Interpretation Processor: dim=4 180.43/46.16 180.43/46.16 interpretation: 180.43/46.16 [1 1 0 0] 180.43/46.16 [0 0 1 0] 180.43/46.16 [a](x0) = [0 0 0 0]x0 180.43/46.16 [0 0 0 0] , 180.43/46.16 180.43/46.16 [1 0 0 0] [0] 180.43/46.16 [0 0 0 0] [0] 180.43/46.16 [b](x0) = [0 0 1 1]x0 + [0] 180.43/46.16 [0 0 0 0] [1] 180.43/46.16 orientation: 180.43/46.16 [1 1 0 0] [0] [1 0 0 0] [0] 180.43/46.16 [0 0 0 0] [0] [0 0 0 0] [0] 180.43/46.16 b(b(b(a(x1)))) = [0 0 0 0]x1 + [2] >= [0 0 0 0]x1 + [0] = b(a(b(b(x1)))) 180.43/46.16 [0 0 0 0] [1] [0 0 0 0] [1] 180.43/46.16 180.43/46.16 [1 1 0 0] [1 0 0 0] 180.43/46.16 [0 0 0 0] [0 0 0 0] 180.43/46.16 a(a(b(a(x1)))) = [0 0 0 0]x1 >= [0 0 0 0]x1 = a(b(a(b(x1)))) 180.43/46.16 [0 0 0 0] [0 0 0 0] 180.43/46.16 180.43/46.16 [1 0 1 1] [1] [1 0 1 1] 180.43/46.16 [0 0 0 0] [0] [0 0 0 0] 180.43/46.16 a(a(b(b(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 = a(a(a(b(x1)))) 180.43/46.16 [0 0 0 0] [0] [0 0 0 0] 180.43/46.16 180.43/46.16 [1 1 0 0] [0] [1 1 0 0] 180.43/46.16 [0 0 0 0] [0] [0 0 0 0] 180.43/46.16 b(b(b(a(x1)))) = [0 0 0 0]x1 + [2] >= [0 0 0 0]x1 = a(a(b(a(x1)))) 180.43/46.16 [0 0 0 0] [1] [0 0 0 0] 180.43/46.16 problem: 180.43/46.16 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.16 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.16 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.16 DP Processor: 180.43/46.16 DPs: 180.43/46.16 b#(b(b(a(x1)))) -> b#(x1) 180.43/46.16 b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.16 b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.16 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.16 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.16 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.16 b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.16 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.16 TRS: 180.43/46.16 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.16 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.16 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.16 TDG Processor: 180.43/46.16 DPs: 180.43/46.16 b#(b(b(a(x1)))) -> b#(x1) 180.43/46.16 b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.16 b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.16 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.16 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.16 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.16 b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.16 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.16 TRS: 180.43/46.16 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.16 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.16 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.16 graph: 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> 180.43/46.16 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> b#(x1) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(x1)) -> 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.16 a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> b#(x1) 180.43/46.16 a#(a(b(a(x1)))) -> b#(a(b(x1))) -> 180.43/46.16 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.16 a#(a(b(a(x1)))) -> b#(a(b(x1))) -> 180.43/46.16 b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.16 a#(a(b(a(x1)))) -> b#(a(b(x1))) -> 180.43/46.16 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.16 a#(a(b(a(x1)))) -> b#(a(b(x1))) -> 180.43/46.16 b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.16 a#(a(b(a(x1)))) -> b#(a(b(x1))) -> 180.43/46.16 b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.16 a#(a(b(a(x1)))) -> b#(a(b(x1))) -> b#(b(b(a(x1)))) -> b#(x1) 180.43/46.16 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.16 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(x1) 180.43/46.17 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) -> 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) -> 180.43/46.17 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) -> 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.17 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) -> 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(a(x1))) -> 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(a(x1))) -> 180.43/46.17 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(a(x1))) -> 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(a(x1))) -> a#(a(b(a(x1)))) -> b#(x1) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(b(x1))) -> 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(b(x1))) -> 180.43/46.17 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(b(x1))) -> 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(b(x1))) -> 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.17 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) -> 180.43/46.17 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) -> 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) -> 180.43/46.17 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) -> 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) -> 180.43/46.17 b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.17 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) -> b#(b(b(a(x1)))) -> b#(x1) 180.43/46.17 b#(b(b(a(x1)))) -> b#(b(x1)) -> 180.43/46.17 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(b(x1)) -> 180.43/46.17 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.17 b#(b(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> b#(x1) 180.43/46.17 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.17 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(x1) 180.43/46.17 EDG Processor: 180.43/46.17 DPs: 180.43/46.17 b#(b(b(a(x1)))) -> b#(x1) 180.43/46.17 b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.17 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.17 b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.17 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.17 TRS: 180.43/46.17 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.17 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.17 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.17 graph: 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> 180.43/46.17 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> b#(x1) 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.17 a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(x1) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.17 a#(a(b(a(x1)))) -> b#(x1) -> 180.43/46.19 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.19 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) -> 180.43/46.19 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.19 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) -> 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.19 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) -> 180.43/46.19 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.19 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) -> 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(a(x1))) -> a#(a(b(a(x1)))) -> b#(x1) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(a(x1))) -> 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(a(x1))) -> 180.43/46.19 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(a(x1))) -> 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(b(x1))) -> a#(a(b(a(x1)))) -> b#(x1) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(b(x1))) -> 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(b(x1))) -> 180.43/46.19 a#(a(b(a(x1)))) -> b#(a(b(x1))) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(b(x1))) -> 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.19 b#(b(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> b#(x1) 180.43/46.19 b#(b(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.19 b#(b(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.19 b#(b(b(a(x1)))) -> b#(b(x1)) -> 180.43/46.19 b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.19 b#(b(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.19 b#(b(b(a(x1)))) -> b#(b(x1)) -> b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.19 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(x1) 180.43/46.19 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.19 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.19 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> b#(a(b(b(x1)))) 180.43/46.19 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.19 b#(b(b(a(x1)))) -> b#(x1) -> b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.19 SCC Processor: 180.43/46.19 #sccs: 1 180.43/46.19 #rules: 8 180.43/46.19 #arcs: 38/100 180.43/46.19 DPs: 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(x1)) 180.43/46.19 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.19 b#(b(b(a(x1)))) -> a#(a(b(a(x1)))) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(a(x1))) 180.43/46.19 b#(b(b(a(x1)))) -> a#(b(b(x1))) 180.43/46.19 b#(b(b(a(x1)))) -> b#(b(x1)) 180.43/46.19 b#(b(b(a(x1)))) -> b#(x1) 180.43/46.19 TRS: 180.43/46.19 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.19 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.19 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.19 Arctic Interpretation Processor: 180.43/46.19 dimension: 1 180.43/46.19 usable rules: 180.43/46.19 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.19 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.19 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.19 interpretation: 180.43/46.19 [a#](x0) = 2x0, 180.43/46.19 180.43/46.19 [b#](x0) = 8x0, 180.43/46.19 180.43/46.19 [a](x0) = 2x0, 180.43/46.19 180.43/46.19 [b](x0) = 2x0 180.43/46.19 orientation: 180.43/46.19 a#(a(b(a(x1)))) = 8x1 >= 8x1 = a#(b(a(b(x1)))) 180.43/46.19 180.43/46.19 a#(a(b(a(x1)))) = 8x1 >= 4x1 = a#(b(x1)) 180.43/46.19 180.43/46.19 a#(a(b(a(x1)))) = 8x1 >= 8x1 = b#(x1) 180.43/46.19 180.43/46.19 b#(b(b(a(x1)))) = 14x1 >= 8x1 = a#(a(b(a(x1)))) 180.43/46.19 180.43/46.19 b#(b(b(a(x1)))) = 14x1 >= 6x1 = a#(b(a(x1))) 180.43/46.19 180.43/46.19 b#(b(b(a(x1)))) = 14x1 >= 6x1 = a#(b(b(x1))) 180.43/46.19 180.43/46.19 b#(b(b(a(x1)))) = 14x1 >= 10x1 = b#(b(x1)) 180.43/46.19 180.43/46.19 b#(b(b(a(x1)))) = 14x1 >= 8x1 = b#(x1) 180.43/46.19 180.43/46.19 b(b(b(a(x1)))) = 8x1 >= 8x1 = b(a(b(b(x1)))) 180.43/46.19 180.43/46.19 a(a(b(a(x1)))) = 8x1 >= 8x1 = a(b(a(b(x1)))) 180.43/46.19 180.43/46.19 b(b(b(a(x1)))) = 8x1 >= 8x1 = a(a(b(a(x1)))) 180.43/46.19 problem: 180.43/46.19 DPs: 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.19 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.19 TRS: 180.43/46.19 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.19 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.19 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.19 Restore Modifier: 180.43/46.19 DPs: 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.19 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.19 TRS: 180.43/46.19 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.19 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.19 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.19 EDG Processor: 180.43/46.19 DPs: 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.19 a#(a(b(a(x1)))) -> b#(x1) 180.43/46.19 TRS: 180.43/46.19 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.19 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.19 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.19 graph: 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> b#(x1) 180.43/46.19 SCC Processor: 180.43/46.19 #sccs: 1 180.43/46.19 #rules: 1 180.43/46.19 #arcs: 2/4 180.43/46.19 DPs: 180.43/46.19 a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) 180.43/46.19 TRS: 180.43/46.19 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.19 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.19 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.19 Bounds Processor: 180.43/46.19 bound: 0 180.43/46.19 enrichment: match-dp 180.43/46.19 automaton: 180.43/46.19 final states: {4} 180.43/46.19 transitions: 180.43/46.19 a{#,0}(7) -> 4* 180.43/46.19 a0(5) -> 6* 180.43/46.19 a0(2) -> 2* 180.43/46.19 a0(1) -> 2* 180.43/46.19 b0(2) -> 1* 180.43/46.19 b0(6) -> 7* 180.43/46.19 b0(1) -> 1* 180.43/46.19 b0(3) -> 5* 180.43/46.19 1 -> 3* 180.43/46.19 2 -> 1,5,3 180.43/46.19 problem: 180.43/46.19 DPs: 180.43/46.19 180.43/46.19 TRS: 180.43/46.19 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 180.43/46.19 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 180.43/46.19 b(b(b(a(x1)))) -> a(a(b(a(x1)))) 180.43/46.19 Qed 180.43/46.19 EOF