187.03/47.66 YES 187.03/47.68 187.03/47.68 Problem: 187.03/47.68 a(b(a(b(x1)))) -> b(b(a(b(x1)))) 187.03/47.68 b(b(a(a(x1)))) -> a(b(a(a(x1)))) 187.03/47.68 a(a(b(b(x1)))) -> b(a(a(b(x1)))) 187.03/47.68 187.03/47.68 Proof: 187.03/47.68 String Reversal Processor: 187.03/47.68 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.68 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.68 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.68 DP Processor: 187.03/47.68 DPs: 187.03/47.68 b#(a(b(a(x1)))) -> b#(x1) 187.03/47.68 b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.68 b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(x1) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.68 a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.68 b#(b(a(a(x1)))) -> b#(x1) 187.03/47.68 b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.68 b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.68 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.68 TRS: 187.03/47.68 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.68 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.68 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.68 TDG Processor: 187.03/47.68 DPs: 187.03/47.68 b#(a(b(a(x1)))) -> b#(x1) 187.03/47.68 b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.68 b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(x1) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.68 a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.68 b#(b(a(a(x1)))) -> b#(x1) 187.03/47.68 b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.68 b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.68 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.68 TRS: 187.03/47.68 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.68 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.68 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.68 graph: 187.03/47.68 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) -> 187.03/47.68 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) -> 187.03/47.68 a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) -> 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.68 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) -> a#(a(b(b(x1)))) -> a#(x1) 187.03/47.68 a#(a(b(b(x1)))) -> a#(b(a(x1))) -> 187.03/47.68 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(b(a(x1))) -> 187.03/47.68 a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(b(a(x1))) -> a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.68 a#(a(b(b(x1)))) -> a#(b(a(x1))) -> a#(a(b(b(x1)))) -> a#(x1) 187.03/47.68 a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.68 a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.68 a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(x1) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(b(a(a(x1)))) -> b#(x1) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.68 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(a(b(a(x1)))) -> b#(x1) 187.03/47.68 b#(a(b(a(x1)))) -> a#(b(b(x1))) -> 187.03/47.68 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.68 b#(a(b(a(x1)))) -> a#(b(b(x1))) -> 187.03/47.68 a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.68 b#(a(b(a(x1)))) -> a#(b(b(x1))) -> a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.68 b#(a(b(a(x1)))) -> a#(b(b(x1))) -> a#(a(b(b(x1)))) -> a#(x1) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.68 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.68 b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.68 b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.68 b#(b(a(a(x1)))) -> b#(x1) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.68 b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.68 b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.68 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> b#(a(b(a(x1)))) -> b#(x1) 187.03/47.68 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.68 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.68 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.68 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(x1) 187.03/47.68 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.68 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.69 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.69 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(a(b(a(x1)))) -> b#(x1) 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(x1) 187.03/47.69 b#(b(a(a(x1)))) -> a#(a(b(x1))) -> 187.03/47.69 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.69 b#(b(a(a(x1)))) -> a#(a(b(x1))) -> 187.03/47.69 a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.69 b#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.69 b#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(a(b(b(x1)))) -> a#(x1) 187.03/47.69 b#(b(a(a(x1)))) -> a#(b(x1)) -> a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.69 b#(b(a(a(x1)))) -> a#(b(x1)) -> a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.69 b#(b(a(a(x1)))) -> a#(b(x1)) -> a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.69 b#(b(a(a(x1)))) -> a#(b(x1)) -> a#(a(b(b(x1)))) -> a#(x1) 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.69 b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.69 b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.69 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.69 b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.69 b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> b#(x1) 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(x1) 187.03/47.69 EDG Processor: 187.03/47.69 DPs: 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) 187.03/47.69 b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.69 b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.69 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.69 a#(a(b(b(x1)))) -> a#(x1) 187.03/47.69 a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.69 a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.69 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(x1) 187.03/47.69 b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.69 b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.69 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.69 TRS: 187.03/47.69 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.69 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.69 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.69 graph: 187.03/47.69 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) -> 187.03/47.69 a#(a(b(b(x1)))) -> a#(x1) 187.03/47.69 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) -> 187.03/47.69 a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.69 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) -> 187.03/47.69 a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.69 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) -> 187.03/47.69 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.69 a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(x1) 187.03/47.69 a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.69 a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.69 a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.69 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(a(b(a(x1)))) -> b#(x1) 187.03/47.69 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.69 a#(a(b(b(x1)))) -> b#(a(x1)) -> b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.69 a#(a(b(b(x1)))) -> b#(a(x1)) -> 187.03/47.69 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.69 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.69 b#(a(b(a(x1)))) -> b#(x1) 187.03/47.69 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.69 b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.69 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.69 b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.69 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.70 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(x1) 187.03/47.70 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.70 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(x1) 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) -> 187.03/47.70 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.70 b#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(a(b(b(x1)))) -> a#(x1) 187.03/47.70 b#(b(a(a(x1)))) -> a#(a(b(x1))) -> 187.03/47.70 a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.70 b#(b(a(a(x1)))) -> a#(a(b(x1))) -> 187.03/47.70 a#(a(b(b(x1)))) -> a#(b(a(x1))) 187.03/47.70 b#(b(a(a(x1)))) -> a#(a(b(x1))) -> 187.03/47.70 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.70 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) 187.03/47.70 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.70 b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.70 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.70 b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.70 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> 187.03/47.70 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.70 b#(b(a(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(x1) 187.03/47.70 b#(b(a(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.70 b#(b(a(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> a#(b(b(x1))) 187.03/47.70 b#(b(a(a(x1)))) -> b#(x1) -> b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.70 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) 187.03/47.70 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(b(x1)) 187.03/47.70 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.70 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.70 SCC Processor: 187.03/47.70 #sccs: 1 187.03/47.70 #rules: 9 187.03/47.70 #arcs: 44/144 187.03/47.70 DPs: 187.03/47.70 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.70 a#(a(b(b(x1)))) -> b#(a(x1)) 187.03/47.70 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(b(x1)) 187.03/47.70 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(x1) 187.03/47.70 b#(b(a(a(x1)))) -> a#(a(b(x1))) 187.03/47.70 a#(a(b(b(x1)))) -> a#(x1) 187.03/47.70 b#(b(a(a(x1)))) -> b#(x1) 187.03/47.70 TRS: 187.03/47.70 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.70 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.70 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.70 Arctic Interpretation Processor: 187.03/47.70 dimension: 1 187.03/47.70 usable rules: 187.03/47.70 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.70 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.70 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.70 interpretation: 187.03/47.70 [a#](x0) = 2x0, 187.03/47.70 187.03/47.70 [b#](x0) = 2x0, 187.03/47.70 187.03/47.70 [a](x0) = 3x0, 187.03/47.70 187.03/47.70 [b](x0) = 3x0 187.03/47.70 orientation: 187.03/47.70 a#(a(b(b(x1)))) = 11x1 >= 11x1 = a#(a(b(a(x1)))) 187.03/47.70 187.03/47.70 a#(a(b(b(x1)))) = 11x1 >= 5x1 = b#(a(x1)) 187.03/47.70 187.03/47.70 b#(a(b(a(x1)))) = 11x1 >= 11x1 = b#(a(b(b(x1)))) 187.03/47.70 187.03/47.70 b#(a(b(a(x1)))) = 11x1 >= 5x1 = b#(b(x1)) 187.03/47.70 187.03/47.70 b#(b(a(a(x1)))) = 11x1 >= 11x1 = b#(a(a(b(x1)))) 187.03/47.70 187.03/47.70 b#(a(b(a(x1)))) = 11x1 >= 2x1 = b#(x1) 187.03/47.70 187.03/47.70 b#(b(a(a(x1)))) = 11x1 >= 8x1 = a#(a(b(x1))) 187.03/47.70 187.03/47.70 a#(a(b(b(x1)))) = 11x1 >= 2x1 = a#(x1) 187.03/47.70 187.03/47.70 b#(b(a(a(x1)))) = 11x1 >= 2x1 = b#(x1) 187.03/47.70 187.03/47.70 b(a(b(a(x1)))) = 12x1 >= 12x1 = b(a(b(b(x1)))) 187.03/47.70 187.03/47.70 a(a(b(b(x1)))) = 12x1 >= 12x1 = a(a(b(a(x1)))) 187.03/47.70 187.03/47.70 b(b(a(a(x1)))) = 12x1 >= 12x1 = b(a(a(b(x1)))) 187.03/47.70 problem: 187.03/47.70 DPs: 187.03/47.70 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.70 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.70 TRS: 187.03/47.70 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.70 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.70 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.70 Restore Modifier: 187.03/47.70 DPs: 187.03/47.70 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.70 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.70 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.71 TRS: 187.03/47.71 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.71 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.71 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.71 EDG Processor: 187.03/47.71 DPs: 187.03/47.71 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.71 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.71 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) 187.03/47.71 TRS: 187.03/47.71 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.71 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.71 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.71 graph: 187.03/47.71 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) -> 187.03/47.71 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.71 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) -> 187.03/47.71 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.71 b#(b(a(a(x1)))) -> b#(a(a(b(x1)))) -> b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.71 SCC Processor: 187.03/47.71 #sccs: 2 187.03/47.71 #rules: 2 187.03/47.71 #arcs: 3/9 187.03/47.71 DPs: 187.03/47.71 b#(a(b(a(x1)))) -> b#(a(b(b(x1)))) 187.03/47.71 TRS: 187.03/47.71 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.71 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.71 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.71 Matrix Interpretation Processor: dim=3 187.03/47.71 187.03/47.71 interpretation: 187.03/47.71 [b#](x0) = [0 1 0]x0, 187.03/47.71 187.03/47.71 [0 0 0] [1] 187.03/47.71 [a](x0) = [0 0 1]x0 + [0] 187.03/47.71 [1 0 0] [0], 187.03/47.71 187.03/47.71 [0 0 0] 187.03/47.71 [b](x0) = [0 0 1]x0 187.03/47.71 [1 1 0] 187.03/47.71 orientation: 187.03/47.71 b#(a(b(a(x1)))) = [0 0 1]x1 + [1] >= [0 0 1]x1 = b#(a(b(b(x1)))) 187.03/47.71 187.03/47.71 [0 0 0] [0] [0 0 0] [0] 187.03/47.71 b(a(b(a(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(a(b(b(x1)))) 187.03/47.71 [0 0 1] [2] [0 0 1] [1] 187.03/47.71 187.03/47.71 [1] [1] 187.03/47.71 a(a(b(b(x1)))) = [0] >= [0] = a(a(b(a(x1)))) 187.03/47.71 [1] [1] 187.03/47.71 187.03/47.71 [0 0 0] [0] [0] 187.03/47.71 b(b(a(a(x1)))) = [1 0 0]x1 + [1] >= [1] = b(a(a(b(x1)))) 187.03/47.71 [0 0 0] [1] [1] 187.03/47.71 problem: 187.03/47.71 DPs: 187.03/47.71 187.03/47.71 TRS: 187.03/47.71 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.71 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.71 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.71 Qed 187.03/47.71 187.03/47.71 DPs: 187.03/47.71 a#(a(b(b(x1)))) -> a#(a(b(a(x1)))) 187.03/47.71 TRS: 187.03/47.71 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.71 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.71 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.71 Bounds Processor: 187.03/47.71 bound: 0 187.03/47.71 enrichment: match-dp 187.03/47.71 automaton: 187.03/47.71 final states: {4} 187.03/47.71 transitions: 187.03/47.71 a{#,0}(7) -> 4* 187.03/47.71 a0(2) -> 2* 187.03/47.71 a0(6) -> 7* 187.03/47.71 a0(1) -> 2* 187.03/47.71 a0(3) -> 5* 187.03/47.71 b0(5) -> 6* 187.03/47.71 b0(2) -> 1* 187.03/47.71 b0(1) -> 1* 187.03/47.71 1 -> 3* 187.03/47.71 2 -> 3* 187.03/47.71 problem: 187.03/47.71 DPs: 187.03/47.71 187.03/47.71 TRS: 187.03/47.71 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 187.03/47.71 a(a(b(b(x1)))) -> a(a(b(a(x1)))) 187.03/47.71 b(b(a(a(x1)))) -> b(a(a(b(x1)))) 187.03/47.71 Qed 187.03/47.71 EOF