/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(a(a(b(a(b(a(b(a(x1)))))))))))) -> a(a(b(a(b(a(b(a(a(b(b(a(a(b(x1)))))))))))))) Proof: String Reversal Processor: a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) DP Processor: DPs: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(a(x1)))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(b(a(a(b(a(b(a(b(a(a(x1))))))))))))) TRS: a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) EDG Processor: DPs: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(a(x1)))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(b(a(a(b(a(b(a(b(a(a(x1))))))))))))) TRS: a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) graph: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(a(x1)))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(b(a(a(b(a(b(a(b(a(a(x1))))))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(a(x1)))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(b(a(a(b(a(b(a(b(a(a(x1))))))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(a(x1)))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(b(a(a(b(a(b(a(b(a(a(x1))))))))))))) SCC Processor: #sccs: 1 #rules: 3 #arcs: 18/36 DPs: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(a(b(a(b(a(b(a(a(x1))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) TRS: a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) Matrix Interpretation Processor: dim=4 interpretation: [a#](x0) = [0 0 1 0]x0, [0 0 0 0] [1 0 0 0] [b](x0) = [0 0 0 1]x0 [0 0 0 0] , [0 0 0 0] [1] [0 0 1 0] [0] [a](x0) = [1 0 0 0]x0 + [0] [0 1 0 0] [0] orientation: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) = [1] >= [1] = a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) = [1] >= [0] = a#(a(b(a(b(a(b(a(a(x1))))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) = [1] >= [1] = a#(b(a(b(a(a(x1)))))) [1] [0] [1] [1] a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) = [0] >= [0] = b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) [1] [0] problem: DPs: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) TRS: a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) Restore Modifier: DPs: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) TRS: a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) EDG Processor: DPs: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) TRS: a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) graph: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) -> a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> a#(b(a(b(a(a(x1)))))) Matrix Interpretation Processor: dim=1 usable rules: a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) interpretation: [a#](x0) = 4x0, [b](x0) = 1/2x0, [a](x0) = 2x0 + 1 orientation: a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) = 8x1 + 16 >= 8x1 + 10 = a#(b(a(b(a(b(a(a(x1)))))))) a#(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) = 8x1 + 16 >= 8x1 + 8 = a#(b(a(b(a(a(x1)))))) a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) = 4x1 + 9 >= 4x1 + 8 = b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) problem: DPs: TRS: a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) Qed