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