183.69/46.97 YES 183.69/46.98 183.69/46.98 Problem: 183.69/46.98 a(a(b(b(x1)))) -> b(b(c(c(a(a(x1)))))) 183.69/46.98 b(b(c(c(x1)))) -> c(c(b(b(b(b(x1)))))) 183.69/46.98 a(a(c(c(x1)))) -> c(c(a(a(b(b(x1)))))) 183.69/46.98 183.69/46.98 Proof: 183.69/46.98 String Reversal Processor: 183.69/46.98 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.69/46.98 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.69/46.98 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.69/46.98 DP Processor: 183.69/46.98 DPs: 183.69/46.98 b#(b(a(a(x1)))) -> b#(x1) 183.69/46.98 b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/46.98 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/46.98 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/46.98 c#(c(b(b(x1)))) -> c#(x1) 183.69/46.98 c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/46.98 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/46.98 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/46.98 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/46.98 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/46.98 c#(c(a(a(x1)))) -> c#(x1) 183.69/46.98 c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/46.98 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/46.98 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/46.98 TRS: 183.69/46.98 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.69/46.98 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.69/46.98 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.69/46.98 TDG Processor: 183.69/46.98 DPs: 183.69/46.98 b#(b(a(a(x1)))) -> b#(x1) 183.69/46.98 b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/46.99 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/46.99 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/46.99 c#(c(b(b(x1)))) -> c#(x1) 183.69/46.99 c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/46.99 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/46.99 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/46.99 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/46.99 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/46.99 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/46.99 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/46.99 TRS: 183.69/46.99 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.69/46.99 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.69/46.99 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.69/46.99 graph: 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> 183.69/46.99 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> 183.69/46.99 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(x1) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> 183.69/46.99 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> 183.69/46.99 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/46.99 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(x1) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/46.99 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/46.99 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) -> 183.69/46.99 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/46.99 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) -> 183.69/46.99 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/46.99 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) -> 183.69/46.99 b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/46.99 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) -> 183.69/46.99 b#(b(a(a(x1)))) -> b#(x1) 183.69/46.99 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) -> 183.69/46.99 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/46.99 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) -> 183.69/46.99 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/46.99 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) -> 183.69/46.99 b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/46.99 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) -> 183.69/46.99 b#(b(a(a(x1)))) -> b#(x1) 183.69/46.99 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.69/46.99 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/46.99 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.69/46.99 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/46.99 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/46.99 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(x1) 183.69/46.99 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.69/46.99 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/47.00 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(x1) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/47.00 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/47.00 c#(c(b(b(x1)))) -> b#(c(c(x1))) -> 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/47.00 c#(c(b(b(x1)))) -> b#(c(c(x1))) -> 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/47.00 c#(c(b(b(x1)))) -> b#(c(c(x1))) -> b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/47.00 c#(c(b(b(x1)))) -> b#(c(c(x1))) -> b#(b(a(a(x1)))) -> b#(x1) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) -> 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) -> 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) -> 183.69/47.00 b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) -> 183.69/47.00 b#(b(a(a(x1)))) -> b#(x1) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) -> 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) -> 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) -> 183.69/47.00 b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) -> 183.69/47.00 b#(b(a(a(x1)))) -> b#(x1) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) -> 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) -> 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) -> 183.69/47.00 b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) -> 183.69/47.00 b#(b(a(a(x1)))) -> b#(x1) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.69/47.00 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.69/47.00 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.69/47.00 c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.69/47.00 c#(c(a(a(x1)))) -> c#(x1) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.69/47.00 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.69/47.00 c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/47.00 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> 183.69/47.00 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> 183.69/47.00 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> c#(c(a(a(x1)))) -> c#(x1) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> 183.69/47.00 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> 183.69/47.00 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/47.00 b#(b(a(a(x1)))) -> c#(b(b(x1))) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/47.00 b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/47.00 b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/47.00 b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/47.00 b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(x1) 183.69/47.01 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/47.01 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/47.01 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/47.01 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) 183.69/47.01 EDG Processor: 183.69/47.01 DPs: 183.69/47.01 b#(b(a(a(x1)))) -> b#(x1) 183.69/47.01 b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/47.01 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/47.01 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(x1) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/47.01 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/47.01 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/47.01 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/47.01 TRS: 183.69/47.01 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.69/47.01 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.69/47.01 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.69/47.01 graph: 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(x1) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(x1) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/47.01 c#(c(a(a(x1)))) -> c#(x1) -> 183.69/47.01 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/47.01 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) -> 183.69/47.01 b#(b(a(a(x1)))) -> b#(x1) 183.69/47.01 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) -> 183.69/47.01 b#(b(a(a(x1)))) -> b#(b(x1)) 183.69/47.01 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) -> 183.69/47.01 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.69/47.01 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) -> 183.69/47.01 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(x1) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(x1)) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.69/47.01 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(x1) 183.69/47.01 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.69/47.01 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(x1) -> 183.69/47.01 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.69/47.01 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(x1) 183.69/47.01 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) -> 183.84/47.03 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) -> b#(b(a(a(x1)))) -> b#(x1) 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) -> 183.84/47.03 b#(b(a(a(x1)))) -> b#(b(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) -> 183.84/47.03 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) -> 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) -> 183.84/47.03 b#(b(a(a(x1)))) -> b#(x1) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) -> 183.84/47.03 b#(b(a(a(x1)))) -> b#(b(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) -> 183.84/47.03 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) -> 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) -> 183.84/47.03 b#(b(a(a(x1)))) -> b#(x1) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) -> 183.84/47.03 b#(b(a(a(x1)))) -> b#(b(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) -> 183.84/47.03 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) -> 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) -> 183.84/47.03 b#(b(a(a(x1)))) -> b#(x1) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) -> 183.84/47.03 b#(b(a(a(x1)))) -> b#(b(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) -> 183.84/47.03 b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) -> 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(a(a(x1)))) -> c#(x1) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(a(a(x1)))) -> c#(c(x1)) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(a(a(x1)))) -> b#(a(a(c(c(x1))))) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) -> 183.84/47.03 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.84/47.03 b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(x1) 183.84/47.03 b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(x1)) 183.84/47.03 b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.84/47.03 b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.84/47.03 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) 183.84/47.03 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(x1)) 183.84/47.03 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(b(b(x1))) 183.84/47.03 b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.84/47.03 SCC Processor: 183.84/47.03 #sccs: 1 183.84/47.03 #rules: 12 183.84/47.03 #arcs: 78/196 183.84/47.03 DPs: 183.84/47.03 c#(c(a(a(x1)))) -> c#(c(x1)) 183.84/47.03 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.84/47.03 b#(b(a(a(x1)))) -> c#(c(b(b(x1)))) 183.84/47.03 c#(c(a(a(x1)))) -> c#(x1) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.84/47.03 b#(b(a(a(x1)))) -> b#(b(x1)) 183.84/47.03 b#(b(a(a(x1)))) -> b#(x1) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) 183.84/47.03 TRS: 183.84/47.03 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.03 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.03 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.03 Arctic Interpretation Processor: 183.84/47.03 dimension: 1 183.84/47.03 usable rules: 183.84/47.03 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.03 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.03 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.03 interpretation: 183.84/47.03 [c#](x0) = x0, 183.84/47.03 183.84/47.03 [b#](x0) = x0, 183.84/47.03 183.84/47.03 [c](x0) = x0, 183.84/47.03 183.84/47.03 [a](x0) = 1x0, 183.84/47.03 183.84/47.03 [b](x0) = x0 183.84/47.03 orientation: 183.84/47.03 c#(c(a(a(x1)))) = 2x1 >= x1 = c#(c(x1)) 183.84/47.03 183.84/47.03 c#(c(a(a(x1)))) = 2x1 >= 2x1 = b#(b(a(a(c(c(x1)))))) 183.84/47.03 183.84/47.03 b#(b(a(a(x1)))) = 2x1 >= x1 = c#(c(b(b(x1)))) 183.84/47.03 183.84/47.03 c#(c(a(a(x1)))) = 2x1 >= x1 = c#(x1) 183.84/47.03 183.84/47.03 c#(c(b(b(x1)))) = x1 >= x1 = b#(b(b(b(c(c(x1)))))) 183.84/47.03 183.84/47.03 b#(b(a(a(x1)))) = 2x1 >= x1 = b#(b(x1)) 183.84/47.03 183.84/47.03 b#(b(a(a(x1)))) = 2x1 >= x1 = b#(x1) 183.84/47.03 183.84/47.03 c#(c(b(b(x1)))) = x1 >= x1 = b#(b(b(c(c(x1))))) 183.84/47.03 183.84/47.03 c#(c(b(b(x1)))) = x1 >= x1 = b#(b(c(c(x1)))) 183.84/47.03 183.84/47.03 c#(c(b(b(x1)))) = x1 >= x1 = b#(c(c(x1))) 183.84/47.03 183.84/47.03 c#(c(b(b(x1)))) = x1 >= x1 = c#(c(x1)) 183.84/47.03 183.84/47.03 c#(c(b(b(x1)))) = x1 >= x1 = c#(x1) 183.84/47.03 183.84/47.03 b(b(a(a(x1)))) = 2x1 >= 2x1 = a(a(c(c(b(b(x1)))))) 183.84/47.03 183.84/47.03 c(c(b(b(x1)))) = x1 >= x1 = b(b(b(b(c(c(x1)))))) 183.84/47.03 183.84/47.03 c(c(a(a(x1)))) = 2x1 >= 2x1 = b(b(a(a(c(c(x1)))))) 183.84/47.03 problem: 183.84/47.03 DPs: 183.84/47.03 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) 183.84/47.03 TRS: 183.84/47.03 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.03 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.03 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.03 Restore Modifier: 183.84/47.03 DPs: 183.84/47.03 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) 183.84/47.03 TRS: 183.84/47.03 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.03 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.03 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.03 EDG Processor: 183.84/47.03 DPs: 183.84/47.03 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) 183.84/47.03 TRS: 183.84/47.03 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.03 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.03 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.03 graph: 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.84/47.03 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(x1) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) -> 183.84/47.03 c#(c(a(a(x1)))) -> b#(b(a(a(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(b(c(c(x1)))))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) -> 183.84/47.03 c#(c(b(b(x1)))) -> b#(b(b(c(c(x1))))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(b(c(c(x1)))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> b#(c(c(x1))) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) -> c#(c(b(b(x1)))) -> c#(x1) 183.84/47.03 SCC Processor: 183.84/47.03 #sccs: 1 183.84/47.03 #rules: 2 183.84/47.03 #arcs: 14/49 183.84/47.03 DPs: 183.84/47.03 c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.03 c#(c(b(b(x1)))) -> c#(x1) 183.84/47.03 TRS: 183.84/47.03 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.03 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.03 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.03 Arctic Interpretation Processor: 183.84/47.03 dimension: 1 183.84/47.03 usable rules: 183.84/47.03 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.03 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.03 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.03 interpretation: 183.84/47.03 [c#](x0) = x0, 183.84/47.03 183.84/47.03 [c](x0) = 1x0 + 1, 183.84/47.04 183.84/47.04 [a](x0) = 0, 183.84/47.04 183.84/47.04 [b](x0) = x0 + 0 183.84/47.04 orientation: 183.84/47.04 c#(c(b(b(x1)))) = 1x1 + 1 >= 1x1 + 1 = c#(c(x1)) 183.84/47.04 183.84/47.04 c#(c(b(b(x1)))) = 1x1 + 1 >= x1 = c#(x1) 183.84/47.04 183.84/47.04 b(b(a(a(x1)))) = 0 >= 0 = a(a(c(c(b(b(x1)))))) 183.84/47.04 183.84/47.04 c(c(b(b(x1)))) = 2x1 + 2 >= 2x1 + 2 = b(b(b(b(c(c(x1)))))) 183.84/47.04 183.84/47.04 c(c(a(a(x1)))) = 2 >= 0 = b(b(a(a(c(c(x1)))))) 183.84/47.04 problem: 183.84/47.04 DPs: 183.84/47.04 c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.04 TRS: 183.84/47.04 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.04 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.04 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.04 Restore Modifier: 183.84/47.04 DPs: 183.84/47.04 c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.04 TRS: 183.84/47.04 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.04 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.04 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.04 EDG Processor: 183.84/47.04 DPs: 183.84/47.04 c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.04 TRS: 183.84/47.04 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.04 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.04 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.04 graph: 183.84/47.04 c#(c(b(b(x1)))) -> c#(c(x1)) -> c#(c(b(b(x1)))) -> c#(c(x1)) 183.84/47.04 LPO Processor: 183.84/47.04 argument filtering: 183.84/47.04 pi(b) = [0] 183.84/47.04 pi(a) = [] 183.84/47.04 pi(c) = [0] 183.84/47.04 pi(c#) = [0] 183.84/47.04 usable rules: 183.84/47.04 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.04 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.04 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.04 precedence: 183.84/47.04 c > b > c# ~ a 183.84/47.04 problem: 183.84/47.04 DPs: 183.84/47.04 183.84/47.04 TRS: 183.84/47.04 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 183.84/47.04 c(c(b(b(x1)))) -> b(b(b(b(c(c(x1)))))) 183.84/47.04 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1)))))) 183.84/47.04 Qed 183.84/47.04 EOF