/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(a(a(a(x1))))))) -> a(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) Proof: DP Processor: DPs: a#(a(b(a(a(a(a(x1))))))) -> a#(b(x1)) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(x1))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(a(a(b(x1)))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(b(a(a(b(a(a(b(x1)))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(b(a(a(b(a(a(b(x1))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(b(a(a(b(a(a(b(x1)))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) TRS: a(a(b(a(a(a(a(x1))))))) -> a(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) EDG Processor: DPs: a#(a(b(a(a(a(a(x1))))))) -> a#(b(x1)) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(x1))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(a(a(b(x1)))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(b(a(a(b(a(a(b(x1)))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(b(a(a(b(a(a(b(x1))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(b(a(a(b(a(a(b(x1)))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) TRS: a(a(b(a(a(a(a(x1))))))) -> a(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) graph: a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(b(x1)) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(x1))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(a(a(b(x1)))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(b(a(a(b(a(a(b(x1)))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(b(a(a(b(a(a(b(x1))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(b(a(a(b(a(a(b(x1)))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(b(x1)) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(x1))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(a(a(b(x1)))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(b(a(a(b(a(a(b(x1)))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(b(a(a(b(a(a(b(x1))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(b(a(a(b(a(a(b(x1)))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(b(x1)) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(x1))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(b(a(a(b(a(a(b(x1)))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(b(a(a(b(a(a(b(x1)))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(b(a(a(b(a(a(b(x1))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(b(a(a(b(a(a(b(x1)))))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) -> a#(a(b(a(a(a(a(x1))))))) -> a#(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) SCC Processor: #sccs: 1 #rules: 3 #arcs: 30/100 DPs: a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(a(a(b(x1))))))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(a(a(b(x1)))))) a#(a(b(a(a(a(a(x1))))))) -> a#(a(b(x1))) TRS: a(a(b(a(a(a(a(x1))))))) -> a(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) Matrix Interpretation Processor: dim=5 interpretation: [a#](x0) = [0 1 0 0 1]x0, [1 0 0 0 0] [1 0 0 0 0] [b](x0) = [1 0 1 0 0]x0 [0 0 1 0 0] [0 0 0 0 0] , [0 0 1 0 0] [0] [0 0 0 1 0] [0] [a](x0) = [0 1 0 0 0]x0 + [0] [1 0 0 0 0] [1] [0 0 0 1 0] [0] orientation: a#(a(b(a(a(a(a(x1))))))) = [0 0 2 0 0]x1 + [2] >= [0 0 2 0 0]x1 = a#(a(b(a(a(b(a(a(b(x1))))))))) a#(a(b(a(a(a(a(x1))))))) = [0 0 2 0 0]x1 + [2] >= [0 0 2 0 0]x1 = a#(a(b(a(a(b(x1)))))) a#(a(b(a(a(a(a(x1))))))) = [0 0 2 0 0]x1 + [2] >= [0 0 2 0 0]x1 = a#(a(b(x1))) [1 0 0 0 0] [1] [1 0 0 0 0] [1] [1 0 0 0 0] [2] [1 0 0 0 0] [2] a(a(b(a(a(a(a(x1))))))) = [0 0 1 0 0]x1 + [1] >= [0 0 1 0 0]x1 + [1] = a(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) [1 0 1 0 0] [3] [1 0 1 0 0] [2] [1 0 0 0 0] [2] [1 0 0 0 0] [2] problem: DPs: TRS: a(a(b(a(a(a(a(x1))))))) -> a(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) Qed