189.83/48.36 YES 189.83/48.37 189.83/48.37 Problem: 189.83/48.37 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.37 c(a(x1)) -> a(c(x1)) 189.83/48.37 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.37 c(b(x1)) -> d(x1) 189.83/48.37 a(d(x1)) -> d(a(x1)) 189.83/48.37 d(x1) -> b(a(x1)) 189.83/48.37 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.37 c(R(x1)) -> c(b(R(x1))) 189.83/48.37 189.83/48.37 Proof: 189.83/48.37 DP Processor: 189.83/48.37 DPs: 189.83/48.37 b#(a(a(x1))) -> c#(x1) 189.83/48.37 b#(a(a(x1))) -> b#(c(x1)) 189.83/48.37 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.37 c#(a(x1)) -> c#(x1) 189.83/48.37 c#(a(x1)) -> a#(c(x1)) 189.83/48.37 b#(c(a(x1))) -> c#(x1) 189.83/48.37 b#(c(a(x1))) -> b#(c(x1)) 189.83/48.37 b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.37 c#(b(x1)) -> d#(x1) 189.83/48.37 a#(d(x1)) -> a#(x1) 189.83/48.37 a#(d(x1)) -> d#(a(x1)) 189.83/48.37 d#(x1) -> a#(x1) 189.83/48.37 d#(x1) -> b#(a(x1)) 189.83/48.37 L#(a(a(x1))) -> c#(x1) 189.83/48.37 L#(a(a(x1))) -> b#(c(x1)) 189.83/48.37 L#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.37 L#(a(a(x1))) -> L#(a(b(c(x1)))) 189.83/48.37 c#(R(x1)) -> b#(R(x1)) 189.83/48.37 c#(R(x1)) -> c#(b(R(x1))) 189.83/48.37 TRS: 189.83/48.37 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.37 c(a(x1)) -> a(c(x1)) 189.83/48.37 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.37 c(b(x1)) -> d(x1) 189.83/48.37 a(d(x1)) -> d(a(x1)) 189.83/48.37 d(x1) -> b(a(x1)) 189.83/48.37 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.37 c(R(x1)) -> c(b(R(x1))) 189.83/48.37 TDG Processor: 189.83/48.37 DPs: 189.83/48.37 b#(a(a(x1))) -> c#(x1) 189.83/48.37 b#(a(a(x1))) -> b#(c(x1)) 189.83/48.37 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.37 c#(a(x1)) -> c#(x1) 189.83/48.37 c#(a(x1)) -> a#(c(x1)) 189.83/48.37 b#(c(a(x1))) -> c#(x1) 189.83/48.37 b#(c(a(x1))) -> b#(c(x1)) 189.83/48.37 b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.37 c#(b(x1)) -> d#(x1) 189.83/48.37 a#(d(x1)) -> a#(x1) 189.83/48.37 a#(d(x1)) -> d#(a(x1)) 189.83/48.37 d#(x1) -> a#(x1) 189.83/48.37 d#(x1) -> b#(a(x1)) 189.83/48.37 L#(a(a(x1))) -> c#(x1) 189.83/48.37 L#(a(a(x1))) -> b#(c(x1)) 189.83/48.37 L#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.37 L#(a(a(x1))) -> L#(a(b(c(x1)))) 189.83/48.37 c#(R(x1)) -> b#(R(x1)) 189.83/48.37 c#(R(x1)) -> c#(b(R(x1))) 189.83/48.37 TRS: 189.83/48.37 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.37 c(a(x1)) -> a(c(x1)) 189.83/48.37 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.37 c(b(x1)) -> d(x1) 189.83/48.37 a(d(x1)) -> d(a(x1)) 189.83/48.37 d(x1) -> b(a(x1)) 189.83/48.37 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.37 c(R(x1)) -> c(b(R(x1))) 189.83/48.37 graph: 189.83/48.37 L#(a(a(x1))) -> L#(a(b(c(x1)))) -> 189.83/48.37 L#(a(a(x1))) -> L#(a(b(c(x1)))) 189.83/48.37 L#(a(a(x1))) -> L#(a(b(c(x1)))) -> L#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.37 L#(a(a(x1))) -> L#(a(b(c(x1)))) -> L#(a(a(x1))) -> b#(c(x1)) 189.83/48.37 L#(a(a(x1))) -> L#(a(b(c(x1)))) -> L#(a(a(x1))) -> c#(x1) 189.83/48.37 L#(a(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.37 L#(a(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> a#(x1) 189.83/48.37 L#(a(a(x1))) -> c#(x1) -> c#(R(x1)) -> c#(b(R(x1))) 189.83/48.37 L#(a(a(x1))) -> c#(x1) -> c#(R(x1)) -> b#(R(x1)) 189.83/48.37 L#(a(a(x1))) -> c#(x1) -> c#(b(x1)) -> d#(x1) 189.83/48.37 L#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> a#(c(x1)) 189.83/48.37 L#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> c#(x1) 189.83/48.37 L#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.37 L#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> b#(c(x1)) 189.83/48.37 L#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> c#(x1) 189.83/48.37 L#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.37 L#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> b#(c(x1)) 189.83/48.37 L#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> c#(x1) 189.83/48.37 d#(x1) -> a#(x1) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.37 d#(x1) -> a#(x1) -> a#(d(x1)) -> a#(x1) 189.83/48.37 d#(x1) -> b#(a(x1)) -> b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.37 d#(x1) -> b#(a(x1)) -> b#(c(a(x1))) -> b#(c(x1)) 189.83/48.37 d#(x1) -> b#(a(x1)) -> b#(c(a(x1))) -> c#(x1) 189.83/48.37 d#(x1) -> b#(a(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.37 d#(x1) -> b#(a(x1)) -> b#(a(a(x1))) -> b#(c(x1)) 189.83/48.37 d#(x1) -> b#(a(x1)) -> b#(a(a(x1))) -> c#(x1) 189.83/48.37 a#(d(x1)) -> d#(a(x1)) -> d#(x1) -> b#(a(x1)) 189.83/48.37 a#(d(x1)) -> d#(a(x1)) -> d#(x1) -> a#(x1) 189.83/48.37 a#(d(x1)) -> a#(x1) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.37 a#(d(x1)) -> a#(x1) -> a#(d(x1)) -> a#(x1) 189.83/48.37 c#(R(x1)) -> c#(b(R(x1))) -> c#(R(x1)) -> c#(b(R(x1))) 189.83/48.37 c#(R(x1)) -> c#(b(R(x1))) -> c#(R(x1)) -> b#(R(x1)) 189.83/48.37 c#(R(x1)) -> c#(b(R(x1))) -> c#(b(x1)) -> d#(x1) 189.83/48.37 c#(R(x1)) -> c#(b(R(x1))) -> c#(a(x1)) -> a#(c(x1)) 189.83/48.37 c#(R(x1)) -> c#(b(R(x1))) -> c#(a(x1)) -> c#(x1) 189.83/48.37 c#(R(x1)) -> b#(R(x1)) -> b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.37 c#(R(x1)) -> b#(R(x1)) -> b#(c(a(x1))) -> b#(c(x1)) 189.83/48.37 c#(R(x1)) -> b#(R(x1)) -> b#(c(a(x1))) -> c#(x1) 189.83/48.37 c#(R(x1)) -> b#(R(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.37 c#(R(x1)) -> b#(R(x1)) -> b#(a(a(x1))) -> b#(c(x1)) 189.83/48.37 c#(R(x1)) -> b#(R(x1)) -> b#(a(a(x1))) -> c#(x1) 189.83/48.37 c#(b(x1)) -> d#(x1) -> d#(x1) -> b#(a(x1)) 189.83/48.37 c#(b(x1)) -> d#(x1) -> d#(x1) -> a#(x1) 189.83/48.37 c#(a(x1)) -> a#(c(x1)) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.38 c#(a(x1)) -> a#(c(x1)) -> a#(d(x1)) -> a#(x1) 189.83/48.38 c#(a(x1)) -> c#(x1) -> c#(R(x1)) -> c#(b(R(x1))) 189.83/48.38 c#(a(x1)) -> c#(x1) -> c#(R(x1)) -> b#(R(x1)) 189.83/48.38 c#(a(x1)) -> c#(x1) -> c#(b(x1)) -> d#(x1) 189.83/48.38 c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(c(x1)) 189.83/48.38 c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1) 189.83/48.38 b#(c(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.38 b#(c(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> a#(x1) 189.83/48.38 b#(c(a(x1))) -> c#(x1) -> c#(R(x1)) -> c#(b(R(x1))) 189.83/48.38 b#(c(a(x1))) -> c#(x1) -> c#(R(x1)) -> b#(R(x1)) 189.83/48.38 b#(c(a(x1))) -> c#(x1) -> c#(b(x1)) -> d#(x1) 189.83/48.38 b#(c(a(x1))) -> c#(x1) -> c#(a(x1)) -> a#(c(x1)) 189.83/48.38 b#(c(a(x1))) -> c#(x1) -> c#(a(x1)) -> c#(x1) 189.83/48.38 b#(c(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.38 b#(c(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> b#(c(x1)) 189.83/48.38 b#(c(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> c#(x1) 189.83/48.38 b#(c(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.38 b#(c(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> b#(c(x1)) 189.83/48.38 b#(c(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> c#(x1) 189.83/48.38 b#(a(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.38 b#(a(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> a#(x1) 189.83/48.38 b#(a(a(x1))) -> c#(x1) -> c#(R(x1)) -> c#(b(R(x1))) 189.83/48.38 b#(a(a(x1))) -> c#(x1) -> c#(R(x1)) -> b#(R(x1)) 189.83/48.38 b#(a(a(x1))) -> c#(x1) -> c#(b(x1)) -> d#(x1) 189.83/48.38 b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> a#(c(x1)) 189.83/48.38 b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> c#(x1) 189.83/48.38 b#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.38 b#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> b#(c(x1)) 189.83/48.38 b#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> c#(x1) 189.83/48.38 b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.38 b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> b#(c(x1)) 189.83/48.38 b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> c#(x1) 189.83/48.38 EDG Processor: 189.83/48.38 DPs: 189.83/48.38 b#(a(a(x1))) -> c#(x1) 189.83/48.38 b#(a(a(x1))) -> b#(c(x1)) 189.83/48.38 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.38 c#(a(x1)) -> c#(x1) 189.83/48.38 c#(a(x1)) -> a#(c(x1)) 189.83/48.38 b#(c(a(x1))) -> c#(x1) 189.83/48.38 b#(c(a(x1))) -> b#(c(x1)) 189.83/48.38 b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.38 c#(b(x1)) -> d#(x1) 189.83/48.38 a#(d(x1)) -> a#(x1) 189.83/48.38 a#(d(x1)) -> d#(a(x1)) 189.83/48.38 d#(x1) -> a#(x1) 189.83/48.38 d#(x1) -> b#(a(x1)) 189.83/48.38 L#(a(a(x1))) -> c#(x1) 189.83/48.38 L#(a(a(x1))) -> b#(c(x1)) 189.83/48.38 L#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.38 L#(a(a(x1))) -> L#(a(b(c(x1)))) 189.83/48.38 c#(R(x1)) -> b#(R(x1)) 189.83/48.38 c#(R(x1)) -> c#(b(R(x1))) 189.83/48.38 TRS: 189.83/48.38 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.38 c(a(x1)) -> a(c(x1)) 189.83/48.38 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.38 c(b(x1)) -> d(x1) 189.83/48.38 a(d(x1)) -> d(a(x1)) 189.83/48.38 d(x1) -> b(a(x1)) 189.83/48.38 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.38 c(R(x1)) -> c(b(R(x1))) 189.83/48.38 graph: 189.83/48.38 L#(a(a(x1))) -> L#(a(b(c(x1)))) -> L#(a(a(x1))) -> c#(x1) 189.83/48.38 L#(a(a(x1))) -> L#(a(b(c(x1)))) -> L#(a(a(x1))) -> b#(c(x1)) 189.83/48.38 L#(a(a(x1))) -> L#(a(b(c(x1)))) -> L#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.38 L#(a(a(x1))) -> L#(a(b(c(x1)))) -> L#(a(a(x1))) -> L#(a(b(c(x1)))) 189.83/48.38 L#(a(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> a#(x1) 189.83/48.38 L#(a(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.38 L#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> c#(x1) 189.83/48.38 L#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> a#(c(x1)) 189.83/48.38 L#(a(a(x1))) -> c#(x1) -> c#(b(x1)) -> d#(x1) 189.83/48.38 L#(a(a(x1))) -> c#(x1) -> c#(R(x1)) -> b#(R(x1)) 189.83/48.38 L#(a(a(x1))) -> c#(x1) -> c#(R(x1)) -> c#(b(R(x1))) 189.83/48.38 L#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> c#(x1) 189.83/48.38 L#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> b#(c(x1)) 189.83/48.38 L#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.38 L#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> c#(x1) 189.83/48.38 L#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> b#(c(x1)) 189.83/48.38 L#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.38 d#(x1) -> a#(x1) -> a#(d(x1)) -> a#(x1) 189.83/48.38 d#(x1) -> a#(x1) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.38 d#(x1) -> b#(a(x1)) -> b#(a(a(x1))) -> c#(x1) 189.83/48.38 d#(x1) -> b#(a(x1)) -> b#(a(a(x1))) -> b#(c(x1)) 189.83/48.38 d#(x1) -> b#(a(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.38 a#(d(x1)) -> d#(a(x1)) -> d#(x1) -> a#(x1) 189.83/48.38 a#(d(x1)) -> d#(a(x1)) -> d#(x1) -> b#(a(x1)) 189.83/48.38 a#(d(x1)) -> a#(x1) -> a#(d(x1)) -> a#(x1) 189.83/48.38 a#(d(x1)) -> a#(x1) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.38 c#(R(x1)) -> c#(b(R(x1))) -> c#(b(x1)) -> d#(x1) 189.83/48.39 c#(b(x1)) -> d#(x1) -> d#(x1) -> a#(x1) 189.83/48.39 c#(b(x1)) -> d#(x1) -> d#(x1) -> b#(a(x1)) 189.83/48.39 c#(a(x1)) -> a#(c(x1)) -> a#(d(x1)) -> a#(x1) 189.83/48.39 c#(a(x1)) -> a#(c(x1)) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.39 c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1) 189.83/48.39 c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(c(x1)) 189.83/48.39 c#(a(x1)) -> c#(x1) -> c#(b(x1)) -> d#(x1) 189.83/48.39 c#(a(x1)) -> c#(x1) -> c#(R(x1)) -> b#(R(x1)) 189.83/48.39 c#(a(x1)) -> c#(x1) -> c#(R(x1)) -> c#(b(R(x1))) 189.83/48.39 b#(c(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> a#(x1) 189.83/48.39 b#(c(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.39 b#(c(a(x1))) -> c#(x1) -> c#(a(x1)) -> c#(x1) 189.83/48.39 b#(c(a(x1))) -> c#(x1) -> c#(a(x1)) -> a#(c(x1)) 189.83/48.39 b#(c(a(x1))) -> c#(x1) -> c#(b(x1)) -> d#(x1) 189.83/48.39 b#(c(a(x1))) -> c#(x1) -> c#(R(x1)) -> b#(R(x1)) 189.83/48.39 b#(c(a(x1))) -> c#(x1) -> c#(R(x1)) -> c#(b(R(x1))) 189.83/48.39 b#(c(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> c#(x1) 189.83/48.39 b#(c(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> b#(c(x1)) 189.83/48.39 b#(c(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.39 b#(c(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> c#(x1) 189.83/48.39 b#(c(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> b#(c(x1)) 189.83/48.39 b#(c(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.39 b#(a(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> a#(x1) 189.83/48.39 b#(a(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.39 b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> c#(x1) 189.83/48.39 b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> a#(c(x1)) 189.83/48.39 b#(a(a(x1))) -> c#(x1) -> c#(b(x1)) -> d#(x1) 189.83/48.39 b#(a(a(x1))) -> c#(x1) -> c#(R(x1)) -> b#(R(x1)) 189.83/48.39 b#(a(a(x1))) -> c#(x1) -> c#(R(x1)) -> c#(b(R(x1))) 189.83/48.39 b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> c#(x1) 189.83/48.39 b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> b#(c(x1)) 189.83/48.39 b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.39 b#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> c#(x1) 189.83/48.39 b#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> b#(c(x1)) 189.83/48.39 b#(a(a(x1))) -> b#(c(x1)) -> b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.39 SCC Processor: 189.83/48.39 #sccs: 2 189.83/48.39 #rules: 15 189.83/48.39 #arcs: 62/361 189.83/48.39 DPs: 189.83/48.39 L#(a(a(x1))) -> L#(a(b(c(x1)))) 189.83/48.39 TRS: 189.83/48.39 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.39 c(a(x1)) -> a(c(x1)) 189.83/48.39 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.39 c(b(x1)) -> d(x1) 189.83/48.39 a(d(x1)) -> d(a(x1)) 189.83/48.39 d(x1) -> b(a(x1)) 189.83/48.39 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.39 c(R(x1)) -> c(b(R(x1))) 189.83/48.39 Usable Rule Processor: 189.83/48.39 DPs: 189.83/48.39 L#(a(a(x1))) -> L#(a(b(c(x1)))) 189.83/48.39 TRS: 189.83/48.39 c(a(x1)) -> a(c(x1)) 189.83/48.39 c(b(x1)) -> d(x1) 189.83/48.39 c(R(x1)) -> c(b(R(x1))) 189.83/48.39 a(d(x1)) -> d(a(x1)) 189.83/48.39 d(x1) -> b(a(x1)) 189.83/48.39 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.39 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.39 Arctic Interpretation Processor: 189.83/48.39 dimension: 1 189.83/48.39 usable rules: 189.83/48.39 c(a(x1)) -> a(c(x1)) 189.83/48.39 c(b(x1)) -> d(x1) 189.83/48.39 c(R(x1)) -> c(b(R(x1))) 189.83/48.39 a(d(x1)) -> d(a(x1)) 189.83/48.39 d(x1) -> b(a(x1)) 189.83/48.39 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.39 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.39 interpretation: 189.83/48.39 [L#](x0) = x0 + 0, 189.83/48.39 189.83/48.39 [R](x0) = 7x0 + 0, 189.83/48.39 189.83/48.39 [d](x0) = x0 + 7, 189.83/48.39 189.83/48.39 [c](x0) = 1x0 + 8, 189.83/48.39 189.83/48.39 [b](x0) = -1x0 + 0, 189.83/48.39 189.83/48.39 [a](x0) = 1x0 + 8 189.83/48.39 orientation: 189.83/48.39 L#(a(a(x1))) = 2x1 + 9 >= 1x1 + 8 = L#(a(b(c(x1)))) 189.83/48.39 189.83/48.39 c(a(x1)) = 2x1 + 9 >= 2x1 + 9 = a(c(x1)) 189.83/48.39 189.83/48.39 c(b(x1)) = x1 + 8 >= x1 + 7 = d(x1) 189.83/48.39 189.83/48.39 c(R(x1)) = 8x1 + 8 >= 7x1 + 8 = c(b(R(x1))) 189.83/48.39 189.83/48.39 a(d(x1)) = 1x1 + 8 >= 1x1 + 8 = d(a(x1)) 189.83/48.39 189.83/48.39 d(x1) = x1 + 7 >= x1 + 7 = b(a(x1)) 189.83/48.39 189.83/48.39 b(a(a(x1))) = 1x1 + 8 >= 1x1 + 8 = a(b(c(x1))) 189.83/48.39 189.83/48.39 b(c(a(x1))) = 1x1 + 8 >= 1x1 + 8 = a(b(c(x1))) 189.83/48.39 problem: 189.83/48.39 DPs: 189.83/48.39 189.83/48.39 TRS: 189.83/48.39 c(a(x1)) -> a(c(x1)) 189.83/48.39 c(b(x1)) -> d(x1) 189.83/48.39 c(R(x1)) -> c(b(R(x1))) 189.83/48.39 a(d(x1)) -> d(a(x1)) 189.83/48.39 d(x1) -> b(a(x1)) 189.83/48.39 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.39 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.39 Qed 189.83/48.39 189.83/48.39 DPs: 189.83/48.39 a#(d(x1)) -> d#(a(x1)) 189.83/48.39 d#(x1) -> b#(a(x1)) 189.83/48.39 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.39 a#(d(x1)) -> a#(x1) 189.83/48.39 b#(a(a(x1))) -> b#(c(x1)) 189.83/48.39 b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.40 b#(c(a(x1))) -> b#(c(x1)) 189.83/48.40 b#(c(a(x1))) -> c#(x1) 189.83/48.40 c#(R(x1)) -> c#(b(R(x1))) 189.83/48.40 c#(b(x1)) -> d#(x1) 189.83/48.40 d#(x1) -> a#(x1) 189.83/48.40 c#(a(x1)) -> a#(c(x1)) 189.83/48.40 c#(a(x1)) -> c#(x1) 189.83/48.40 b#(a(a(x1))) -> c#(x1) 189.83/48.40 TRS: 189.83/48.40 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.40 c(a(x1)) -> a(c(x1)) 189.83/48.40 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.40 c(b(x1)) -> d(x1) 189.83/48.40 a(d(x1)) -> d(a(x1)) 189.83/48.40 d(x1) -> b(a(x1)) 189.83/48.40 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.40 c(R(x1)) -> c(b(R(x1))) 189.83/48.40 Usable Rule Processor: 189.83/48.40 DPs: 189.83/48.40 a#(d(x1)) -> d#(a(x1)) 189.83/48.40 d#(x1) -> b#(a(x1)) 189.83/48.40 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.40 a#(d(x1)) -> a#(x1) 189.83/48.40 b#(a(a(x1))) -> b#(c(x1)) 189.83/48.40 b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.40 b#(c(a(x1))) -> b#(c(x1)) 189.83/48.40 b#(c(a(x1))) -> c#(x1) 189.83/48.40 c#(R(x1)) -> c#(b(R(x1))) 189.83/48.40 c#(b(x1)) -> d#(x1) 189.83/48.40 d#(x1) -> a#(x1) 189.83/48.40 c#(a(x1)) -> a#(c(x1)) 189.83/48.40 c#(a(x1)) -> c#(x1) 189.83/48.40 b#(a(a(x1))) -> c#(x1) 189.83/48.40 TRS: 189.83/48.40 a(d(x1)) -> d(a(x1)) 189.83/48.40 d(x1) -> b(a(x1)) 189.83/48.40 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.40 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.40 c(a(x1)) -> a(c(x1)) 189.83/48.40 c(b(x1)) -> d(x1) 189.83/48.40 c(R(x1)) -> c(b(R(x1))) 189.83/48.40 Arctic Interpretation Processor: 189.83/48.40 dimension: 1 189.83/48.40 usable rules: 189.83/48.40 a(d(x1)) -> d(a(x1)) 189.83/48.40 d(x1) -> b(a(x1)) 189.83/48.40 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.40 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.40 c(a(x1)) -> a(c(x1)) 189.83/48.40 c(b(x1)) -> d(x1) 189.83/48.40 c(R(x1)) -> c(b(R(x1))) 189.83/48.40 interpretation: 189.83/48.40 [d#](x0) = 2x0, 189.83/48.40 189.83/48.40 [a#](x0) = 2x0, 189.83/48.40 189.83/48.40 [c#](x0) = 2x0, 189.83/48.40 189.83/48.40 [b#](x0) = x0, 189.83/48.40 189.83/48.40 [R](x0) = 1x0, 189.83/48.40 189.83/48.40 [d](x0) = 2x0, 189.83/48.40 189.83/48.40 [c](x0) = 2x0, 189.83/48.40 189.83/48.40 [b](x0) = x0, 189.83/48.40 189.83/48.40 [a](x0) = 2x0 189.83/48.40 orientation: 189.83/48.40 a#(d(x1)) = 4x1 >= 4x1 = d#(a(x1)) 189.83/48.40 189.83/48.40 d#(x1) = 2x1 >= 2x1 = b#(a(x1)) 189.83/48.40 189.83/48.40 b#(a(a(x1))) = 4x1 >= 4x1 = a#(b(c(x1))) 189.83/48.40 189.83/48.40 a#(d(x1)) = 4x1 >= 2x1 = a#(x1) 189.83/48.40 189.83/48.40 b#(a(a(x1))) = 4x1 >= 2x1 = b#(c(x1)) 189.83/48.40 189.83/48.40 b#(c(a(x1))) = 4x1 >= 4x1 = a#(b(c(x1))) 189.83/48.40 189.83/48.40 b#(c(a(x1))) = 4x1 >= 2x1 = b#(c(x1)) 189.83/48.40 189.83/48.40 b#(c(a(x1))) = 4x1 >= 2x1 = c#(x1) 189.83/48.40 189.83/48.40 c#(R(x1)) = 3x1 >= 3x1 = c#(b(R(x1))) 189.83/48.40 189.83/48.40 c#(b(x1)) = 2x1 >= 2x1 = d#(x1) 189.83/48.40 189.83/48.40 d#(x1) = 2x1 >= 2x1 = a#(x1) 189.83/48.40 189.83/48.40 c#(a(x1)) = 4x1 >= 4x1 = a#(c(x1)) 189.83/48.40 189.83/48.40 c#(a(x1)) = 4x1 >= 2x1 = c#(x1) 189.83/48.40 189.83/48.40 b#(a(a(x1))) = 4x1 >= 2x1 = c#(x1) 189.83/48.40 189.83/48.40 a(d(x1)) = 4x1 >= 4x1 = d(a(x1)) 189.83/48.40 189.83/48.40 d(x1) = 2x1 >= 2x1 = b(a(x1)) 189.83/48.40 189.83/48.40 b(a(a(x1))) = 4x1 >= 4x1 = a(b(c(x1))) 189.83/48.40 189.83/48.40 b(c(a(x1))) = 4x1 >= 4x1 = a(b(c(x1))) 189.83/48.40 189.83/48.40 c(a(x1)) = 4x1 >= 4x1 = a(c(x1)) 189.83/48.40 189.83/48.40 c(b(x1)) = 2x1 >= 2x1 = d(x1) 189.83/48.40 189.83/48.40 c(R(x1)) = 3x1 >= 3x1 = c(b(R(x1))) 189.83/48.40 problem: 189.83/48.40 DPs: 189.83/48.40 a#(d(x1)) -> d#(a(x1)) 189.83/48.40 d#(x1) -> b#(a(x1)) 189.83/48.40 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.40 b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.40 c#(R(x1)) -> c#(b(R(x1))) 189.83/48.40 c#(b(x1)) -> d#(x1) 189.83/48.40 d#(x1) -> a#(x1) 189.83/48.40 c#(a(x1)) -> a#(c(x1)) 189.83/48.40 TRS: 189.83/48.40 a(d(x1)) -> d(a(x1)) 189.83/48.40 d(x1) -> b(a(x1)) 189.83/48.40 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.40 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.40 c(a(x1)) -> a(c(x1)) 189.83/48.40 c(b(x1)) -> d(x1) 189.83/48.40 c(R(x1)) -> c(b(R(x1))) 189.83/48.40 Restore Modifier: 189.83/48.40 DPs: 189.83/48.40 a#(d(x1)) -> d#(a(x1)) 189.83/48.40 d#(x1) -> b#(a(x1)) 189.83/48.40 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.40 b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.40 c#(R(x1)) -> c#(b(R(x1))) 189.83/48.40 c#(b(x1)) -> d#(x1) 189.83/48.40 d#(x1) -> a#(x1) 189.83/48.40 c#(a(x1)) -> a#(c(x1)) 189.83/48.40 TRS: 189.83/48.40 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.40 c(a(x1)) -> a(c(x1)) 189.83/48.40 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.40 c(b(x1)) -> d(x1) 189.83/48.40 a(d(x1)) -> d(a(x1)) 189.83/48.40 d(x1) -> b(a(x1)) 189.83/48.40 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.40 c(R(x1)) -> c(b(R(x1))) 189.83/48.40 EDG Processor: 189.83/48.40 DPs: 189.83/48.40 a#(d(x1)) -> d#(a(x1)) 189.83/48.40 d#(x1) -> b#(a(x1)) 189.83/48.40 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.41 b#(c(a(x1))) -> a#(b(c(x1))) 189.83/48.41 c#(R(x1)) -> c#(b(R(x1))) 189.83/48.41 c#(b(x1)) -> d#(x1) 189.83/48.41 d#(x1) -> a#(x1) 189.83/48.41 c#(a(x1)) -> a#(c(x1)) 189.83/48.41 TRS: 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 graph: 189.83/48.41 d#(x1) -> a#(x1) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.41 d#(x1) -> b#(a(x1)) -> b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) -> d#(x1) -> b#(a(x1)) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) -> d#(x1) -> a#(x1) 189.83/48.41 c#(R(x1)) -> c#(b(R(x1))) -> c#(b(x1)) -> d#(x1) 189.83/48.41 c#(b(x1)) -> d#(x1) -> d#(x1) -> b#(a(x1)) 189.83/48.41 c#(b(x1)) -> d#(x1) -> d#(x1) -> a#(x1) 189.83/48.41 c#(a(x1)) -> a#(c(x1)) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.41 b#(c(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.41 b#(a(a(x1))) -> a#(b(c(x1))) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.41 SCC Processor: 189.83/48.41 #sccs: 1 189.83/48.41 #rules: 4 189.83/48.41 #arcs: 10/64 189.83/48.41 DPs: 189.83/48.41 d#(x1) -> a#(x1) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 d#(x1) -> b#(a(x1)) 189.83/48.41 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.41 TRS: 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 Usable Rule Processor: 189.83/48.41 DPs: 189.83/48.41 d#(x1) -> a#(x1) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 d#(x1) -> b#(a(x1)) 189.83/48.41 b#(a(a(x1))) -> a#(b(c(x1))) 189.83/48.41 TRS: 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 Arctic Interpretation Processor: 189.83/48.41 dimension: 1 189.83/48.41 usable rules: 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 interpretation: 189.83/48.41 [d#](x0) = x0 + 14, 189.83/48.41 189.83/48.41 [a#](x0) = x0 + 0, 189.83/48.41 189.83/48.41 [b#](x0) = x0 + 14, 189.83/48.41 189.83/48.41 [R](x0) = x0 + 11, 189.83/48.41 189.83/48.41 [d](x0) = x0 + 14, 189.83/48.41 189.83/48.41 [c](x0) = 4x0 + 4, 189.83/48.41 189.83/48.41 [b](x0) = 12, 189.83/48.41 189.83/48.41 [a](x0) = x0 + 12 189.83/48.41 orientation: 189.83/48.41 d#(x1) = x1 + 14 >= x1 + 0 = a#(x1) 189.83/48.41 189.83/48.41 a#(d(x1)) = x1 + 14 >= x1 + 14 = d#(a(x1)) 189.83/48.41 189.83/48.41 d#(x1) = x1 + 14 >= x1 + 14 = b#(a(x1)) 189.83/48.41 189.83/48.41 b#(a(a(x1))) = x1 + 14 >= 12 = a#(b(c(x1))) 189.83/48.41 189.83/48.41 a(d(x1)) = x1 + 14 >= x1 + 14 = d(a(x1)) 189.83/48.41 189.83/48.41 d(x1) = x1 + 14 >= 12 = b(a(x1)) 189.83/48.41 189.83/48.41 b(a(a(x1))) = 12 >= 12 = a(b(c(x1))) 189.83/48.41 189.83/48.41 b(c(a(x1))) = 12 >= 12 = a(b(c(x1))) 189.83/48.41 189.83/48.41 c(a(x1)) = 4x1 + 16 >= 4x1 + 12 = a(c(x1)) 189.83/48.41 189.83/48.41 c(b(x1)) = 16 >= x1 + 14 = d(x1) 189.83/48.41 189.83/48.41 c(R(x1)) = 4x1 + 15 >= 16 = c(b(R(x1))) 189.83/48.41 problem: 189.83/48.41 DPs: 189.83/48.41 d#(x1) -> a#(x1) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 d#(x1) -> b#(a(x1)) 189.83/48.41 TRS: 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 Restore Modifier: 189.83/48.41 DPs: 189.83/48.41 d#(x1) -> a#(x1) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 d#(x1) -> b#(a(x1)) 189.83/48.41 TRS: 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 EDG Processor: 189.83/48.41 DPs: 189.83/48.41 d#(x1) -> a#(x1) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 d#(x1) -> b#(a(x1)) 189.83/48.41 TRS: 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 graph: 189.83/48.41 d#(x1) -> a#(x1) -> a#(d(x1)) -> d#(a(x1)) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) -> d#(x1) -> a#(x1) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) -> d#(x1) -> b#(a(x1)) 189.83/48.41 SCC Processor: 189.83/48.41 #sccs: 1 189.83/48.41 #rules: 2 189.83/48.41 #arcs: 3/9 189.83/48.41 DPs: 189.83/48.41 d#(x1) -> a#(x1) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 TRS: 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 Usable Rule Processor: 189.83/48.41 DPs: 189.83/48.41 d#(x1) -> a#(x1) 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 TRS: 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 Arctic Interpretation Processor: 189.83/48.41 dimension: 1 189.83/48.41 usable rules: 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 interpretation: 189.83/48.41 [d#](x0) = 8x0 + 0, 189.83/48.41 189.83/48.41 [a#](x0) = x0, 189.83/48.41 189.83/48.41 [R](x0) = x0, 189.83/48.41 189.83/48.41 [d](x0) = 8x0 + 0, 189.83/48.41 189.83/48.41 [c](x0) = 2x0 + 8, 189.83/48.41 189.83/48.41 [b](x0) = 0, 189.83/48.41 189.83/48.41 [a](x0) = x0 189.83/48.41 orientation: 189.83/48.41 d#(x1) = 8x1 + 0 >= x1 = a#(x1) 189.83/48.41 189.83/48.41 a#(d(x1)) = 8x1 + 0 >= 8x1 + 0 = d#(a(x1)) 189.83/48.41 189.83/48.41 a(d(x1)) = 8x1 + 0 >= 8x1 + 0 = d(a(x1)) 189.83/48.41 189.83/48.41 d(x1) = 8x1 + 0 >= 0 = b(a(x1)) 189.83/48.41 189.83/48.41 b(a(a(x1))) = 0 >= 0 = a(b(c(x1))) 189.83/48.41 189.83/48.41 b(c(a(x1))) = 0 >= 0 = a(b(c(x1))) 189.83/48.41 189.83/48.41 c(a(x1)) = 2x1 + 8 >= 2x1 + 8 = a(c(x1)) 189.83/48.41 189.83/48.41 c(b(x1)) = 8 >= 8x1 + 0 = d(x1) 189.83/48.41 189.83/48.41 c(R(x1)) = 2x1 + 8 >= 8 = c(b(R(x1))) 189.83/48.41 problem: 189.83/48.41 DPs: 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 TRS: 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 Restore Modifier: 189.83/48.41 DPs: 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 TRS: 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 EDG Processor: 189.83/48.41 DPs: 189.83/48.41 a#(d(x1)) -> d#(a(x1)) 189.83/48.41 TRS: 189.83/48.41 b(a(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(a(x1)) -> a(c(x1)) 189.83/48.41 b(c(a(x1))) -> a(b(c(x1))) 189.83/48.41 c(b(x1)) -> d(x1) 189.83/48.41 a(d(x1)) -> d(a(x1)) 189.83/48.41 d(x1) -> b(a(x1)) 189.83/48.41 L(a(a(x1))) -> L(a(b(c(x1)))) 189.83/48.41 c(R(x1)) -> c(b(R(x1))) 189.83/48.41 graph: 189.83/48.41 189.83/48.41 SCC Processor: 189.83/48.41 #sccs: 0 189.83/48.41 #rules: 0 189.83/48.41 #arcs: 0/1 189.83/48.41 189.83/48.42 EOF