/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(a(c(a(a(a(x1)))))))) -> a(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) Proof: DP Processor: DPs: a#(a(b(a(c(a(a(a(x1)))))))) -> a#(c(x1)) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(b(a(c(x1)))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(c(a(a(b(a(c(x1))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(b(a(c(a(a(b(a(c(x1))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(b(a(c(a(a(b(a(c(x1))))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(a(b(a(c(a(a(b(a(c(x1)))))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) TRS: a(a(b(a(c(a(a(a(x1)))))))) -> a(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) EDG Processor: DPs: a#(a(b(a(c(a(a(a(x1)))))))) -> a#(c(x1)) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(b(a(c(x1)))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(c(a(a(b(a(c(x1))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(b(a(c(a(a(b(a(c(x1))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(b(a(c(a(a(b(a(c(x1))))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(a(b(a(c(a(a(b(a(c(x1)))))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) TRS: a(a(b(a(c(a(a(a(x1)))))))) -> a(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) graph: a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(c(x1)) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(b(a(c(x1)))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(c(a(a(b(a(c(x1))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(b(a(c(a(a(b(a(c(x1))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(b(a(c(a(a(b(a(c(x1))))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(a(b(a(c(a(a(b(a(c(x1)))))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(c(x1)) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(b(a(c(x1)))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(c(a(a(b(a(c(x1))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(b(a(c(a(a(b(a(c(x1))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(b(a(c(a(a(b(a(c(x1))))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(a(b(a(c(a(a(b(a(c(x1)))))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) -> a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) SCC Processor: #sccs: 1 #rules: 2 #arcs: 18/81 DPs: a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(a(a(b(a(c(x1)))))))))) a#(a(b(a(c(a(a(a(x1)))))))) -> a#(a(b(a(c(x1))))) TRS: a(a(b(a(c(a(a(a(x1)))))))) -> a(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) Matrix Interpretation Processor: dim=3 interpretation: [a#](x0) = [1 0 0]x0, [0 1 0] [0] [b](x0) = [0 1 0]x0 + [0] [0 1 0] [1], [0 0 0] [0] [c](x0) = [0 0 0]x0 + [1] [0 1 0] [0], [0 1 0] [1] [a](x0) = [0 0 1]x0 + [0] [1 0 0] [0] orientation: a#(a(b(a(c(a(a(a(x1)))))))) = [0 1 0]x1 + [2] >= [0 1 0]x1 + [1] = a#(a(b(a(c(a(a(b(a(c(x1)))))))))) a#(a(b(a(c(a(a(a(x1)))))))) = [0 1 0]x1 + [2] >= [0 1 0]x1 + [1] = a#(a(b(a(c(x1))))) [0 1 0] [3] [0 1 0] [3] a(a(b(a(c(a(a(a(x1)))))))) = [0 1 0]x1 + [1] >= [0 1 0]x1 + [1] = a(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) [0 1 0] [2] [0 1 0] [2] problem: DPs: TRS: a(a(b(a(c(a(a(a(x1)))))))) -> a(a(a(a(a(b(a(c(a(a(b(a(c(x1))))))))))))) Qed