/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a(a(b(b(b(b(a(a(x1)))))))) -> a(a(c(c(a(a(b(b(x1)))))))) a(a(c(c(x1)))) -> c(c(c(c(a(a(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) Proof: String Reversal Processor: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) DP Processor: DPs: a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) TRS: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) TDG Processor: DPs: a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) TRS: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) graph: c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> c#(c(x1)) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> c#(x1) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) -> c#(c(a(a(x1)))) -> c#(c(x1)) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) -> c#(c(a(a(x1)))) -> c#(x1) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) EDG Processor: DPs: a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) TRS: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) graph: c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(a(a(x1)))) -> c#(c(c(x1))) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(a(a(x1)))) -> c#(c(x1)) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(x1) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(c(c(c(c(x1)))))) -> c#(b(b(x1))) c#(c(a(a(x1)))) -> c#(x1) -> c#(c(c(c(c(c(x1)))))) -> c#(c(b(b(x1)))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> c#(x1) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> c#(c(x1)) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) -> c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(a(a(x1))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) SCC Processor: #sccs: 1 #rules: 9 #arcs: 54/144 DPs: c#(c(a(a(x1)))) -> c#(c(c(c(x1)))) c#(c(a(a(x1)))) -> a#(a(c(c(c(c(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(c(c(a(a(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) c#(c(a(a(x1)))) -> a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) -> c#(c(c(x1))) c#(c(a(a(x1)))) -> c#(c(x1)) c#(c(a(a(x1)))) -> c#(x1) TRS: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) Arctic Interpretation Processor: dimension: 1 usable rules: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) interpretation: [c#](x0) = 2x0, [a#](x0) = x0, [c](x0) = x0, [b](x0) = x0, [a](x0) = 2x0 orientation: c#(c(a(a(x1)))) = 6x1 >= 2x1 = c#(c(c(c(x1)))) c#(c(a(a(x1)))) = 6x1 >= 2x1 = a#(a(c(c(c(c(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) = 6x1 >= 6x1 = a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) = 6x1 >= 4x1 = a#(c(c(a(a(x1))))) a#(a(b(b(b(b(a(a(x1)))))))) = 6x1 >= 6x1 = c#(c(a(a(x1)))) c#(c(a(a(x1)))) = 6x1 >= x1 = a#(c(c(c(c(x1))))) c#(c(a(a(x1)))) = 6x1 >= 2x1 = c#(c(c(x1))) c#(c(a(a(x1)))) = 6x1 >= 2x1 = c#(c(x1)) c#(c(a(a(x1)))) = 6x1 >= 2x1 = c#(x1) a(a(b(b(b(b(a(a(x1)))))))) = 8x1 >= 8x1 = b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) = 4x1 >= 4x1 = a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) = x1 >= x1 = b(b(c(c(b(b(x1)))))) problem: DPs: a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) TRS: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) Restore Modifier: DPs: a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) TRS: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) EDG Processor: DPs: a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) TRS: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) graph: a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) -> a#(a(b(b(b(b(a(a(x1)))))))) -> c#(c(a(a(x1)))) SCC Processor: #sccs: 1 #rules: 1 #arcs: 2/4 DPs: a#(a(b(b(b(b(a(a(x1)))))))) -> a#(a(c(c(a(a(x1)))))) TRS: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) Matrix Interpretation Processor: dim=4 interpretation: [a#](x0) = [0 0 0 1]x0, [0 0 0 0] [1] [0 1 0 0] [0] [c](x0) = [1 0 0 0]x0 + [0] [0 0 0 0] [0], [0 0 0 1] [0 0 0 0] [b](x0) = [1 0 0 0]x0 [0 1 0 1] , [0 0 0 0] [1] [1 0 0 0] [0] [a](x0) = [0 0 1 0]x0 + [0] [0 0 0 1] [0] orientation: a#(a(b(b(b(b(a(a(x1)))))))) = [0 0 0 1]x1 + [1] >= [0] = a#(a(c(c(a(a(x1)))))) [0 0 0 0] [1] [1] [0 0 0 0] [1] [0] a(a(b(b(b(b(a(a(x1)))))))) = [0 0 0 1]x1 + [1] >= [0] = b(b(a(a(c(c(a(a(x1)))))))) [0 0 0 1] [1] [1] [1] [1] [1] [1] c(c(a(a(x1)))) = [1] >= [1] = a(a(c(c(c(c(x1)))))) [0] [0] [0 0 0 0] [1] [0] [0 1 0 0] [0] [0] c(c(c(c(c(c(x1)))))) = [0 0 0 0]x1 + [1] >= [0] = b(b(c(c(b(b(x1)))))) [0 0 0 0] [0] [0] problem: DPs: TRS: a(a(b(b(b(b(a(a(x1)))))))) -> b(b(a(a(c(c(a(a(x1)))))))) c(c(a(a(x1)))) -> a(a(c(c(c(c(x1)))))) c(c(c(c(c(c(x1)))))) -> b(b(c(c(b(b(x1)))))) Qed