/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Proof: DP Processor: DPs: a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(b(c(a(b(c(a(b(c(x1)))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(b(c(a(b(c(a(b(c(x1))))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) TRS: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) EDG Processor: DPs: a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(b(c(a(b(c(a(b(c(x1)))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(b(c(a(b(c(a(b(c(x1))))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) TRS: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) graph: a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(b(c(a(b(c(a(b(c(x1)))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(b(c(a(b(c(a(b(c(x1))))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(b(c(a(b(c(a(b(c(x1)))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(b(c(a(b(c(a(b(c(x1))))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(b(c(a(b(c(a(b(c(x1)))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(b(c(a(b(c(a(b(c(x1))))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) -> a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) SCC Processor: #sccs: 1 #rules: 3 #arcs: 18/36 DPs: a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(a(b(c(x1))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(a(b(c(x1)))))) a#(b(c(a(b(c(a(a(a(x1))))))))) -> a#(b(c(x1))) TRS: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Matrix Interpretation Processor: dim=3 interpretation: [a#](x0) = [1 0 0]x0, [1 0 0] [b](x0) = [1 0 1]x0 [1 0 0] , [1 0 0] [c](x0) = [0 0 0]x0 [0 1 0] , [0 0 1] [0] [a](x0) = [1 0 0]x0 + [1] [0 1 0] [0] orientation: a#(b(c(a(b(c(a(a(a(x1))))))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = a#(b(c(a(b(c(a(b(c(x1))))))))) a#(b(c(a(b(c(a(a(a(x1))))))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = a#(b(c(a(b(c(x1)))))) a#(b(c(a(b(c(a(a(a(x1))))))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = a#(b(c(x1))) [1 0 0] [1] [1 0 0] [1] a(b(c(a(b(c(a(a(a(x1))))))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [2] = a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) [2 0 0] [3] [2 0 0] [2] problem: DPs: TRS: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Qed