MAYBE Problem: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) Proof: DP Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> c#(b(a(a(x1)))) b#(x1) -> c#(x1) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) TDG Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> c#(b(a(a(x1)))) b#(x1) -> c#(x1) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) graph: c#(c(x1)) -> b#(x1) -> b#(x1) -> c#(x1) b#(x1) -> c#(x1) -> c#(c(x1)) -> b#(x1) a#(b(x1)) -> c#(b(a(a(x1)))) -> c#(c(x1)) -> b#(x1) a#(b(x1)) -> b#(a(a(x1))) -> b#(x1) -> c#(x1) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> c#(b(a(a(x1)))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(b(a(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) CDG Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> c#(b(a(a(x1)))) b#(x1) -> c#(x1) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) graph: c#(c(x1)) -> b#(x1) -> b#(x1) -> c#(x1) a#(b(x1)) -> c#(b(a(a(x1)))) -> c#(c(x1)) -> b#(x1) a#(b(x1)) -> b#(a(a(x1))) -> b#(x1) -> c#(x1) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> c#(b(a(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(b(a(a(x1)))) SCC Processor: #sccs: 1 #rules: 2 #arcs: 11/36 DPs: a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(a(a(x1)))) b(x1) -> c(x1) c(c(x1)) -> b(x1) Open