# LTS Termination Proof

by T2Cert

## Input

Integer Transition System
• Initial Location: 8
• Transitions: (pre-variables and post-variables)  0 0 1: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 2 1 3: 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − ni21_0 + np19_0 ≤ 0 ∧ − nPow___020_0 + ret_nPow22_post ≤ 0 ∧ nPow___020_0 − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_post + tmp___1_post ≤ 0 ∧ ret_nPow22_post − tmp___1_post ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_post ≤ 0 ∧ tmp___1_0 − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 2 2 4: 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + ni21_0 − np19_0 ≤ 0 ∧ −1 − ni21_0 + ni21_post ≤ 0 ∧ 1 + ni21_0 − ni21_post ≤ 0 ∧ nPow___020_0 − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_post ≤ 0 ∧ ni21_0 − ni21_post ≤ 0 ∧ − ni21_0 + ni21_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 5 3 6: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 6 4 4: 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − ni16_0 + np14_0 ≤ 0 ∧ − nPow___015_0 + ret_nPow17_post ≤ 0 ∧ nPow___015_0 − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_post + tmp___0_post ≤ 0 ∧ ret_nPow17_post − tmp___0_post ≤ 0 ∧ − nc_0 + nx18_post ≤ 0 ∧ nc_0 − nx18_post ≤ 0 ∧ − nN_0 + np19_post ≤ 0 ∧ nN_0 − np19_post ≤ 0 ∧ −1 + nPow___020_post ≤ 0 ∧ 1 − nPow___020_post ≤ 0 ∧ ni21_post ≤ 0 ∧ − ni21_post ≤ 0 ∧ nPow___020_0 − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_post ≤ 0 ∧ ni21_0 − ni21_post ≤ 0 ∧ − ni21_0 + ni21_post ≤ 0 ∧ np19_0 − np19_post ≤ 0 ∧ − np19_0 + np19_post ≤ 0 ∧ nx18_0 − nx18_post ≤ 0 ∧ − nx18_0 + nx18_post ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_post ≤ 0 ∧ tmp___0_0 − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 6 5 5: 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + ni16_0 − np14_0 ≤ 0 ∧ −1 − ni16_0 + ni16_post ≤ 0 ∧ 1 + ni16_0 − ni16_post ≤ 0 ∧ nPow___015_0 − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_post ≤ 0 ∧ ni16_0 − ni16_post ≤ 0 ∧ − ni16_0 + ni16_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 4 6 2: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 1 7 5: 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − ni11_0 + np9_0 ≤ 0 ∧ − nPow___010_0 + ret_nPow12_post ≤ 0 ∧ nPow___010_0 − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_post + tmp_post ≤ 0 ∧ ret_nPow12_post − tmp_post ≤ 0 ∧ − nb_0 + nx13_post ≤ 0 ∧ nb_0 − nx13_post ≤ 0 ∧ − nN_0 + np14_post ≤ 0 ∧ nN_0 − np14_post ≤ 0 ∧ −1 + nPow___015_post ≤ 0 ∧ 1 − nPow___015_post ≤ 0 ∧ ni16_post ≤ 0 ∧ − ni16_post ≤ 0 ∧ nPow___015_0 − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_post ≤ 0 ∧ ni16_0 − ni16_post ≤ 0 ∧ − ni16_0 + ni16_post ≤ 0 ∧ np14_0 − np14_post ≤ 0 ∧ − np14_0 + np14_post ≤ 0 ∧ nx13_0 − nx13_post ≤ 0 ∧ − nx13_0 + nx13_post ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_post ≤ 0 ∧ tmp_0 − tmp_post ≤ 0 ∧ − tmp_0 + tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 1 8 0: 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + ni11_0 − np9_0 ≤ 0 ∧ −1 − ni11_0 + ni11_post ≤ 0 ∧ 1 + ni11_0 − ni11_post ≤ 0 ∧ nPow___010_0 − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_post ≤ 0 ∧ ni11_0 − ni11_post ≤ 0 ∧ − ni11_0 + ni11_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 7 9 0: 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ − na_0 + nx8_post ≤ 0 ∧ na_0 − nx8_post ≤ 0 ∧ − nN_post + np9_post ≤ 0 ∧ nN_post − np9_post ≤ 0 ∧ −1 + nPow___010_post ≤ 0 ∧ 1 − nPow___010_post ≤ 0 ∧ ni11_post ≤ 0 ∧ − ni11_post ≤ 0 ∧ nN_0 − nN_post ≤ 0 ∧ − nN_0 + nN_post ≤ 0 ∧ nPow___010_0 − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_post ≤ 0 ∧ ni11_0 − ni11_post ≤ 0 ∧ − ni11_0 + ni11_post ≤ 0 ∧ np9_0 − np9_post ≤ 0 ∧ − np9_0 + np9_post ≤ 0 ∧ nx8_0 − nx8_post ≤ 0 ∧ − nx8_0 + nx8_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 8 10 7: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0

## Proof

The following invariants are asserted.

 0: −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np9_0 ≤ 0 1: −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np9_0 ≤ 0 2: −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np19_post ≤ 0 ∧ −3 + np19_0 ≤ 0 3: −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np19_post ≤ 0 4: −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np19_post ≤ 0 ∧ −3 + np19_0 ≤ 0 5: −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np14_0 ≤ 0 6: −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np14_0 ≤ 0 7: TRUE 8: TRUE

The invariants are proved as follows.

### IMPACT Invariant Proof

• nodes (location) invariant:  0 (0) −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np9_0 ≤ 0 1 (1) −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np9_0 ≤ 0 2 (2) −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np19_post ≤ 0 ∧ −3 + np19_0 ≤ 0 3 (3) −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np19_post ≤ 0 4 (4) −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np19_post ≤ 0 ∧ −3 + np19_0 ≤ 0 5 (5) −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np14_0 ≤ 0 6 (6) −3 + nN_post ≤ 0 ∧ 3 − nN_post ≤ 0 ∧ −3 + np9_post ≤ 0 ∧ −3 + nN_0 ≤ 0 ∧ 3 − nN_0 ≤ 0 ∧ −3 + np14_post ≤ 0 ∧ −3 + np14_0 ≤ 0 7 (7) TRUE 8 (8) TRUE
• initial node: 8
• cover edges:
• transition edges:  0 0 1 1 7 5 1 8 0 2 1 3 2 2 4 4 6 2 5 3 6 6 4 4 6 5 5 7 9 0 8 10 7

### 2 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
 0 11 0: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 4 18 4: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0 5 25 5: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp___1_post + tmp___1_post ≤ 0 ∧ tmp___1_post − tmp___1_post ≤ 0 ∧ − tmp___1_0 + tmp___1_0 ≤ 0 ∧ tmp___1_0 − tmp___1_0 ≤ 0 ∧ − tmp___0_post + tmp___0_post ≤ 0 ∧ tmp___0_post − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_0 ≤ 0 ∧ tmp___0_0 − tmp___0_0 ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_nPow22_post + ret_nPow22_post ≤ 0 ∧ ret_nPow22_post − ret_nPow22_post ≤ 0 ∧ − ret_nPow22_0 + ret_nPow22_0 ≤ 0 ∧ ret_nPow22_0 − ret_nPow22_0 ≤ 0 ∧ − ret_nPow17_post + ret_nPow17_post ≤ 0 ∧ ret_nPow17_post − ret_nPow17_post ≤ 0 ∧ − ret_nPow17_0 + ret_nPow17_0 ≤ 0 ∧ ret_nPow17_0 − ret_nPow17_0 ≤ 0 ∧ − ret_nPow12_post + ret_nPow12_post ≤ 0 ∧ ret_nPow12_post − ret_nPow12_post ≤ 0 ∧ − ret_nPow12_0 + ret_nPow12_0 ≤ 0 ∧ ret_nPow12_0 − ret_nPow12_0 ≤ 0 ∧ − nx8_post + nx8_post ≤ 0 ∧ nx8_post − nx8_post ≤ 0 ∧ − nx8_0 + nx8_0 ≤ 0 ∧ nx8_0 − nx8_0 ≤ 0 ∧ − nx18_post + nx18_post ≤ 0 ∧ nx18_post − nx18_post ≤ 0 ∧ − nx18_0 + nx18_0 ≤ 0 ∧ nx18_0 − nx18_0 ≤ 0 ∧ − nx13_post + nx13_post ≤ 0 ∧ nx13_post − nx13_post ≤ 0 ∧ − nx13_0 + nx13_0 ≤ 0 ∧ nx13_0 − nx13_0 ≤ 0 ∧ − np9_post + np9_post ≤ 0 ∧ np9_post − np9_post ≤ 0 ∧ − np9_0 + np9_0 ≤ 0 ∧ np9_0 − np9_0 ≤ 0 ∧ − np19_post + np19_post ≤ 0 ∧ np19_post − np19_post ≤ 0 ∧ − np19_0 + np19_0 ≤ 0 ∧ np19_0 − np19_0 ≤ 0 ∧ − np14_post + np14_post ≤ 0 ∧ np14_post − np14_post ≤ 0 ∧ − np14_0 + np14_0 ≤ 0 ∧ np14_0 − np14_0 ≤ 0 ∧ − ni21_post + ni21_post ≤ 0 ∧ ni21_post − ni21_post ≤ 0 ∧ − ni21_0 + ni21_0 ≤ 0 ∧ ni21_0 − ni21_0 ≤ 0 ∧ − ni16_post + ni16_post ≤ 0 ∧ ni16_post − ni16_post ≤ 0 ∧ − ni16_0 + ni16_0 ≤ 0 ∧ ni16_0 − ni16_0 ≤ 0 ∧ − ni11_post + ni11_post ≤ 0 ∧ ni11_post − ni11_post ≤ 0 ∧ − ni11_0 + ni11_0 ≤ 0 ∧ ni11_0 − ni11_0 ≤ 0 ∧ − nc_0 + nc_0 ≤ 0 ∧ nc_0 − nc_0 ≤ 0 ∧ − nb_0 + nb_0 ≤ 0 ∧ nb_0 − nb_0 ≤ 0 ∧ − na_0 + na_0 ≤ 0 ∧ na_0 − na_0 ≤ 0 ∧ − nPow___020_post + nPow___020_post ≤ 0 ∧ nPow___020_post − nPow___020_post ≤ 0 ∧ − nPow___020_0 + nPow___020_0 ≤ 0 ∧ nPow___020_0 − nPow___020_0 ≤ 0 ∧ − nPow___015_post + nPow___015_post ≤ 0 ∧ nPow___015_post − nPow___015_post ≤ 0 ∧ − nPow___015_0 + nPow___015_0 ≤ 0 ∧ nPow___015_0 − nPow___015_0 ≤ 0 ∧ − nPow___010_post + nPow___010_post ≤ 0 ∧ nPow___010_post − nPow___010_post ≤ 0 ∧ − nPow___010_0 + nPow___010_0 ≤ 0 ∧ nPow___010_0 − nPow___010_0 ≤ 0 ∧ − nN_post + nN_post ≤ 0 ∧ nN_post − nN_post ≤ 0 ∧ − nN_0 + nN_0 ≤ 0 ∧ nN_0 − nN_0 ≤ 0
and for every transition t, a duplicate t is considered.

### 3 Transition Removal

We remove transitions 1, 4, 7, 9, 10 using the following ranking functions, which are bounded by −21.

 8: 0 7: 0 0: 0 1: 0 5: 0 6: 0 2: 0 4: 0 3: 0 8: −7 7: −8 0: −9 1: −9 0_var_snapshot: −9 0*: −9 5: −10 6: −10 5_var_snapshot: −10 5*: −10 2: −11 4: −11 4_var_snapshot: −11 4*: −11 3: −12
Hints:
 12 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 19 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 26 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 0 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 2 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 3 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 5 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 6 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 8 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 1 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 4 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 7 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 9 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 10 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

0* 14 0: tmp_post + tmp_post ≤ 0tmp_posttmp_post ≤ 0tmp___1_post + tmp___1_post ≤ 0tmp___1_posttmp___1_post ≤ 0tmp___1_0 + tmp___1_0 ≤ 0tmp___1_0tmp___1_0 ≤ 0tmp___0_post + tmp___0_post ≤ 0tmp___0_posttmp___0_post ≤ 0tmp___0_0 + tmp___0_0 ≤ 0tmp___0_0tmp___0_0 ≤ 0tmp_0 + tmp_0 ≤ 0tmp_0tmp_0 ≤ 0ret_nPow22_post + ret_nPow22_post ≤ 0ret_nPow22_postret_nPow22_post ≤ 0ret_nPow22_0 + ret_nPow22_0 ≤ 0ret_nPow22_0ret_nPow22_0 ≤ 0ret_nPow17_post + ret_nPow17_post ≤ 0ret_nPow17_postret_nPow17_post ≤ 0ret_nPow17_0 + ret_nPow17_0 ≤ 0ret_nPow17_0ret_nPow17_0 ≤ 0ret_nPow12_post + ret_nPow12_post ≤ 0ret_nPow12_postret_nPow12_post ≤ 0ret_nPow12_0 + ret_nPow12_0 ≤ 0ret_nPow12_0ret_nPow12_0 ≤ 0nx8_post + nx8_post ≤ 0nx8_postnx8_post ≤ 0nx8_0 + nx8_0 ≤ 0nx8_0nx8_0 ≤ 0nx18_post + nx18_post ≤ 0nx18_postnx18_post ≤ 0nx18_0 + nx18_0 ≤ 0nx18_0nx18_0 ≤ 0nx13_post + nx13_post ≤ 0nx13_postnx13_post ≤ 0nx13_0 + nx13_0 ≤ 0nx13_0nx13_0 ≤ 0np9_post + np9_post ≤ 0np9_postnp9_post ≤ 0np9_0 + np9_0 ≤ 0np9_0np9_0 ≤ 0np19_post + np19_post ≤ 0np19_postnp19_post ≤ 0np19_0 + np19_0 ≤ 0np19_0np19_0 ≤ 0np14_post + np14_post ≤ 0np14_postnp14_post ≤ 0np14_0 + np14_0 ≤ 0np14_0np14_0 ≤ 0ni21_post + ni21_post ≤ 0ni21_postni21_post ≤ 0ni21_0 + ni21_0 ≤ 0ni21_0ni21_0 ≤ 0ni16_post + ni16_post ≤ 0ni16_postni16_post ≤ 0ni16_0 + ni16_0 ≤ 0ni16_0ni16_0 ≤ 0ni11_post + ni11_post ≤ 0ni11_postni11_post ≤ 0ni11_0 + ni11_0 ≤ 0ni11_0ni11_0 ≤ 0nc_0 + nc_0 ≤ 0nc_0nc_0 ≤ 0nb_0 + nb_0 ≤ 0nb_0nb_0 ≤ 0na_0 + na_0 ≤ 0na_0na_0 ≤ 0nPow___020_post + nPow___020_post ≤ 0nPow___020_postnPow___020_post ≤ 0nPow___020_0 + nPow___020_0 ≤ 0nPow___020_0nPow___020_0 ≤ 0nPow___015_post + nPow___015_post ≤ 0nPow___015_postnPow___015_post ≤ 0nPow___015_0 + nPow___015_0 ≤ 0nPow___015_0nPow___015_0 ≤ 0nPow___010_post + nPow___010_post ≤ 0nPow___010_postnPow___010_post ≤ 0nPow___010_0 + nPow___010_0 ≤ 0nPow___010_0nPow___010_0 ≤ 0nN_post + nN_post ≤ 0nN_postnN_post ≤ 0nN_0 + nN_0 ≤ 0nN_0nN_0 ≤ 0

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

0 12 0_var_snapshot: tmp_post + tmp_post ≤ 0tmp_posttmp_post ≤ 0tmp___1_post + tmp___1_post ≤ 0tmp___1_posttmp___1_post ≤ 0tmp___1_0 + tmp___1_0 ≤ 0tmp___1_0tmp___1_0 ≤ 0tmp___0_post + tmp___0_post ≤ 0tmp___0_posttmp___0_post ≤ 0tmp___0_0 + tmp___0_0 ≤ 0tmp___0_0tmp___0_0 ≤ 0tmp_0 + tmp_0 ≤ 0tmp_0tmp_0 ≤ 0ret_nPow22_post + ret_nPow22_post ≤ 0ret_nPow22_postret_nPow22_post ≤ 0ret_nPow22_0 + ret_nPow22_0 ≤ 0ret_nPow22_0ret_nPow22_0 ≤ 0ret_nPow17_post + ret_nPow17_post ≤ 0ret_nPow17_postret_nPow17_post ≤ 0ret_nPow17_0 + ret_nPow17_0 ≤ 0ret_nPow17_0ret_nPow17_0 ≤ 0ret_nPow12_post + ret_nPow12_post ≤ 0ret_nPow12_postret_nPow12_post ≤ 0ret_nPow12_0 + ret_nPow12_0 ≤ 0ret_nPow12_0ret_nPow12_0 ≤ 0nx8_post + nx8_post ≤ 0nx8_postnx8_post ≤ 0nx8_0 + nx8_0 ≤ 0nx8_0nx8_0 ≤ 0nx18_post + nx18_post ≤ 0nx18_postnx18_post ≤ 0nx18_0 + nx18_0 ≤ 0nx18_0nx18_0 ≤ 0nx13_post + nx13_post ≤ 0nx13_postnx13_post ≤ 0nx13_0 + nx13_0 ≤ 0nx13_0nx13_0 ≤ 0np9_post + np9_post ≤ 0np9_postnp9_post ≤ 0np9_0 + np9_0 ≤ 0np9_0np9_0 ≤ 0np19_post + np19_post ≤ 0np19_postnp19_post ≤ 0np19_0 + np19_0 ≤ 0np19_0np19_0 ≤ 0np14_post + np14_post ≤ 0np14_postnp14_post ≤ 0np14_0 + np14_0 ≤ 0np14_0np14_0 ≤ 0ni21_post + ni21_post ≤ 0ni21_postni21_post ≤ 0ni21_0 + ni21_0 ≤ 0ni21_0ni21_0 ≤ 0ni16_post + ni16_post ≤ 0ni16_postni16_post ≤ 0ni16_0 + ni16_0 ≤ 0ni16_0ni16_0 ≤ 0ni11_post + ni11_post ≤ 0ni11_postni11_post ≤ 0ni11_0 + ni11_0 ≤ 0ni11_0ni11_0 ≤ 0nc_0 + nc_0 ≤ 0nc_0nc_0 ≤ 0nb_0 + nb_0 ≤ 0nb_0nb_0 ≤ 0na_0 + na_0 ≤ 0na_0na_0 ≤ 0nPow___020_post + nPow___020_post ≤ 0nPow___020_postnPow___020_post ≤ 0nPow___020_0 + nPow___020_0 ≤ 0nPow___020_0nPow___020_0 ≤ 0nPow___015_post + nPow___015_post ≤ 0nPow___015_postnPow___015_post ≤ 0nPow___015_0 + nPow___015_0 ≤ 0nPow___015_0nPow___015_0 ≤ 0nPow___010_post + nPow___010_post ≤ 0nPow___010_postnPow___010_post ≤ 0nPow___010_0 + nPow___010_0 ≤ 0nPow___010_0nPow___010_0 ≤ 0nN_post + nN_post ≤ 0nN_postnN_post ≤ 0nN_0 + nN_0 ≤ 0nN_0nN_0 ≤ 0

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

4* 21 4: tmp_post + tmp_post ≤ 0tmp_posttmp_post ≤ 0tmp___1_post + tmp___1_post ≤ 0tmp___1_posttmp___1_post ≤ 0tmp___1_0 + tmp___1_0 ≤ 0tmp___1_0tmp___1_0 ≤ 0tmp___0_post + tmp___0_post ≤ 0tmp___0_posttmp___0_post ≤ 0tmp___0_0 + tmp___0_0 ≤ 0tmp___0_0tmp___0_0 ≤ 0tmp_0 + tmp_0 ≤ 0tmp_0tmp_0 ≤ 0ret_nPow22_post + ret_nPow22_post ≤ 0ret_nPow22_postret_nPow22_post ≤ 0ret_nPow22_0 + ret_nPow22_0 ≤ 0ret_nPow22_0ret_nPow22_0 ≤ 0ret_nPow17_post + ret_nPow17_post ≤ 0ret_nPow17_postret_nPow17_post ≤ 0ret_nPow17_0 + ret_nPow17_0 ≤ 0ret_nPow17_0ret_nPow17_0 ≤ 0ret_nPow12_post + ret_nPow12_post ≤ 0ret_nPow12_postret_nPow12_post ≤ 0ret_nPow12_0 + ret_nPow12_0 ≤ 0ret_nPow12_0ret_nPow12_0 ≤ 0nx8_post + nx8_post ≤ 0nx8_postnx8_post ≤ 0nx8_0 + nx8_0 ≤ 0nx8_0nx8_0 ≤ 0nx18_post + nx18_post ≤ 0nx18_postnx18_post ≤ 0nx18_0 + nx18_0 ≤ 0nx18_0nx18_0 ≤ 0nx13_post + nx13_post ≤ 0nx13_postnx13_post ≤ 0nx13_0 + nx13_0 ≤ 0nx13_0nx13_0 ≤ 0np9_post + np9_post ≤ 0np9_postnp9_post ≤ 0np9_0 + np9_0 ≤ 0np9_0np9_0 ≤ 0np19_post + np19_post ≤ 0np19_postnp19_post ≤ 0np19_0 + np19_0 ≤ 0np19_0np19_0 ≤ 0np14_post + np14_post ≤ 0np14_postnp14_post ≤ 0np14_0 + np14_0 ≤ 0np14_0np14_0 ≤ 0ni21_post + ni21_post ≤ 0ni21_postni21_post ≤ 0ni21_0 + ni21_0 ≤ 0ni21_0ni21_0 ≤ 0ni16_post + ni16_post ≤ 0ni16_postni16_post ≤ 0ni16_0 + ni16_0 ≤ 0ni16_0ni16_0 ≤ 0ni11_post + ni11_post ≤ 0ni11_postni11_post ≤ 0ni11_0 + ni11_0 ≤ 0ni11_0ni11_0 ≤ 0nc_0 + nc_0 ≤ 0nc_0nc_0 ≤ 0nb_0 + nb_0 ≤ 0nb_0nb_0 ≤ 0na_0 + na_0 ≤ 0na_0na_0 ≤ 0nPow___020_post + nPow___020_post ≤ 0nPow___020_postnPow___020_post ≤ 0nPow___020_0 + nPow___020_0 ≤ 0nPow___020_0nPow___020_0 ≤ 0nPow___015_post + nPow___015_post ≤ 0nPow___015_postnPow___015_post ≤ 0nPow___015_0 + nPow___015_0 ≤ 0nPow___015_0nPow___015_0 ≤ 0nPow___010_post + nPow___010_post ≤ 0nPow___010_postnPow___010_post ≤ 0nPow___010_0 + nPow___010_0 ≤ 0nPow___010_0nPow___010_0 ≤ 0nN_post + nN_post ≤ 0nN_postnN_post ≤ 0nN_0 + nN_0 ≤ 0nN_0nN_0 ≤ 0

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

4 19 4_var_snapshot: tmp_post + tmp_post ≤ 0tmp_posttmp_post ≤ 0tmp___1_post + tmp___1_post ≤ 0tmp___1_posttmp___1_post ≤ 0tmp___1_0 + tmp___1_0 ≤ 0tmp___1_0tmp___1_0 ≤ 0tmp___0_post + tmp___0_post ≤ 0tmp___0_posttmp___0_post ≤ 0tmp___0_0 + tmp___0_0 ≤ 0tmp___0_0tmp___0_0 ≤ 0tmp_0 + tmp_0 ≤ 0tmp_0tmp_0 ≤ 0ret_nPow22_post + ret_nPow22_post ≤ 0ret_nPow22_postret_nPow22_post ≤ 0ret_nPow22_0 + ret_nPow22_0 ≤ 0ret_nPow22_0ret_nPow22_0 ≤ 0ret_nPow17_post + ret_nPow17_post ≤ 0ret_nPow17_postret_nPow17_post ≤ 0ret_nPow17_0 + ret_nPow17_0 ≤ 0ret_nPow17_0ret_nPow17_0 ≤ 0ret_nPow12_post + ret_nPow12_post ≤ 0ret_nPow12_postret_nPow12_post ≤ 0ret_nPow12_0 + ret_nPow12_0 ≤ 0ret_nPow12_0ret_nPow12_0 ≤ 0nx8_post + nx8_post ≤ 0nx8_postnx8_post ≤ 0nx8_0 + nx8_0 ≤ 0nx8_0nx8_0 ≤ 0nx18_post + nx18_post ≤ 0nx18_postnx18_post ≤ 0nx18_0 + nx18_0 ≤ 0nx18_0nx18_0 ≤ 0nx13_post + nx13_post ≤ 0nx13_postnx13_post ≤ 0nx13_0 + nx13_0 ≤ 0nx13_0nx13_0 ≤ 0np9_post + np9_post ≤ 0np9_postnp9_post ≤ 0np9_0 + np9_0 ≤ 0np9_0np9_0 ≤ 0np19_post + np19_post ≤ 0np19_postnp19_post ≤ 0np19_0 + np19_0 ≤ 0np19_0np19_0 ≤ 0np14_post + np14_post ≤ 0np14_postnp14_post ≤ 0np14_0 + np14_0 ≤ 0np14_0np14_0 ≤ 0ni21_post + ni21_post ≤ 0ni21_postni21_post ≤ 0ni21_0 + ni21_0 ≤ 0ni21_0ni21_0 ≤ 0ni16_post + ni16_post ≤ 0ni16_postni16_post ≤ 0ni16_0 + ni16_0 ≤ 0ni16_0ni16_0 ≤ 0ni11_post + ni11_post ≤ 0ni11_postni11_post ≤ 0ni11_0 + ni11_0 ≤ 0ni11_0ni11_0 ≤ 0nc_0 + nc_0 ≤ 0nc_0nc_0 ≤ 0nb_0 + nb_0 ≤ 0nb_0nb_0 ≤ 0na_0 + na_0 ≤ 0na_0na_0 ≤ 0nPow___020_post + nPow___020_post ≤ 0nPow___020_postnPow___020_post ≤ 0nPow___020_0 + nPow___020_0 ≤ 0nPow___020_0nPow___020_0 ≤ 0nPow___015_post + nPow___015_post ≤ 0nPow___015_postnPow___015_post ≤ 0nPow___015_0 + nPow___015_0 ≤ 0nPow___015_0nPow___015_0 ≤ 0nPow___010_post + nPow___010_post ≤ 0nPow___010_postnPow___010_post ≤ 0nPow___010_0 + nPow___010_0 ≤ 0nPow___010_0nPow___010_0 ≤ 0nN_post + nN_post ≤ 0nN_postnN_post ≤ 0nN_0 + nN_0 ≤ 0nN_0nN_0 ≤ 0

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

5* 28 5: tmp_post + tmp_post ≤ 0tmp_posttmp_post ≤ 0tmp___1_post + tmp___1_post ≤ 0tmp___1_posttmp___1_post ≤ 0tmp___1_0 + tmp___1_0 ≤ 0tmp___1_0tmp___1_0 ≤ 0tmp___0_post + tmp___0_post ≤ 0tmp___0_posttmp___0_post ≤ 0tmp___0_0 + tmp___0_0 ≤ 0tmp___0_0tmp___0_0 ≤ 0tmp_0 + tmp_0 ≤ 0tmp_0tmp_0 ≤ 0ret_nPow22_post + ret_nPow22_post ≤ 0ret_nPow22_postret_nPow22_post ≤ 0ret_nPow22_0 + ret_nPow22_0 ≤ 0ret_nPow22_0ret_nPow22_0 ≤ 0ret_nPow17_post + ret_nPow17_post ≤ 0ret_nPow17_postret_nPow17_post ≤ 0ret_nPow17_0 + ret_nPow17_0 ≤ 0ret_nPow17_0ret_nPow17_0 ≤ 0ret_nPow12_post + ret_nPow12_post ≤ 0ret_nPow12_postret_nPow12_post ≤ 0ret_nPow12_0 + ret_nPow12_0 ≤ 0ret_nPow12_0ret_nPow12_0 ≤ 0nx8_post + nx8_post ≤ 0nx8_postnx8_post ≤ 0nx8_0 + nx8_0 ≤ 0nx8_0nx8_0 ≤ 0nx18_post + nx18_post ≤ 0nx18_postnx18_post ≤ 0nx18_0 + nx18_0 ≤ 0nx18_0nx18_0 ≤ 0nx13_post + nx13_post ≤ 0nx13_postnx13_post ≤ 0nx13_0 + nx13_0 ≤ 0nx13_0nx13_0 ≤ 0np9_post + np9_post ≤ 0np9_postnp9_post ≤ 0np9_0 + np9_0 ≤ 0np9_0np9_0 ≤ 0np19_post + np19_post ≤ 0np19_postnp19_post ≤ 0np19_0 + np19_0 ≤ 0np19_0np19_0 ≤ 0np14_post + np14_post ≤ 0np14_postnp14_post ≤ 0np14_0 + np14_0 ≤ 0np14_0np14_0 ≤ 0ni21_post + ni21_post ≤ 0ni21_postni21_post ≤ 0ni21_0 + ni21_0 ≤ 0ni21_0ni21_0 ≤ 0ni16_post + ni16_post ≤ 0ni16_postni16_post ≤ 0ni16_0 + ni16_0 ≤ 0ni16_0ni16_0 ≤ 0ni11_post + ni11_post ≤ 0ni11_postni11_post ≤ 0ni11_0 + ni11_0 ≤ 0ni11_0ni11_0 ≤ 0nc_0 + nc_0 ≤ 0nc_0nc_0 ≤ 0nb_0 + nb_0 ≤ 0nb_0nb_0 ≤ 0na_0 + na_0 ≤ 0na_0na_0 ≤ 0nPow___020_post + nPow___020_post ≤ 0nPow___020_postnPow___020_post ≤ 0nPow___020_0 + nPow___020_0 ≤ 0nPow___020_0nPow___020_0 ≤ 0nPow___015_post + nPow___015_post ≤ 0nPow___015_postnPow___015_post ≤ 0nPow___015_0 + nPow___015_0 ≤ 0nPow___015_0nPow___015_0 ≤ 0nPow___010_post + nPow___010_post ≤ 0nPow___010_postnPow___010_post ≤ 0nPow___010_0 + nPow___010_0 ≤ 0nPow___010_0nPow___010_0 ≤ 0nN_post + nN_post ≤ 0nN_postnN_post ≤ 0nN_0 + nN_0 ≤ 0nN_0nN_0 ≤ 0

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

5 26 5_var_snapshot: tmp_post + tmp_post ≤ 0tmp_posttmp_post ≤ 0tmp___1_post + tmp___1_post ≤ 0tmp___1_posttmp___1_post ≤ 0tmp___1_0 + tmp___1_0 ≤ 0tmp___1_0tmp___1_0 ≤ 0tmp___0_post + tmp___0_post ≤ 0tmp___0_posttmp___0_post ≤ 0tmp___0_0 + tmp___0_0 ≤ 0tmp___0_0tmp___0_0 ≤ 0tmp_0 + tmp_0 ≤ 0tmp_0tmp_0 ≤ 0ret_nPow22_post + ret_nPow22_post ≤ 0ret_nPow22_postret_nPow22_post ≤ 0ret_nPow22_0 + ret_nPow22_0 ≤ 0ret_nPow22_0ret_nPow22_0 ≤ 0ret_nPow17_post + ret_nPow17_post ≤ 0ret_nPow17_postret_nPow17_post ≤ 0ret_nPow17_0 + ret_nPow17_0 ≤ 0ret_nPow17_0ret_nPow17_0 ≤ 0ret_nPow12_post + ret_nPow12_post ≤ 0ret_nPow12_postret_nPow12_post ≤ 0ret_nPow12_0 + ret_nPow12_0 ≤ 0ret_nPow12_0ret_nPow12_0 ≤ 0nx8_post + nx8_post ≤ 0nx8_postnx8_post ≤ 0nx8_0 + nx8_0 ≤ 0nx8_0nx8_0 ≤ 0nx18_post + nx18_post ≤ 0nx18_postnx18_post ≤ 0nx18_0 + nx18_0 ≤ 0nx18_0nx18_0 ≤ 0nx13_post + nx13_post ≤ 0nx13_postnx13_post ≤ 0nx13_0 + nx13_0 ≤ 0nx13_0nx13_0 ≤ 0np9_post + np9_post ≤ 0np9_postnp9_post ≤ 0np9_0 + np9_0 ≤ 0np9_0np9_0 ≤ 0np19_post + np19_post ≤ 0np19_postnp19_post ≤ 0np19_0 + np19_0 ≤ 0np19_0np19_0 ≤ 0np14_post + np14_post ≤ 0np14_postnp14_post ≤ 0np14_0 + np14_0 ≤ 0np14_0np14_0 ≤ 0ni21_post + ni21_post ≤ 0ni21_postni21_post ≤ 0ni21_0 + ni21_0 ≤ 0ni21_0ni21_0 ≤ 0ni16_post + ni16_post ≤ 0ni16_postni16_post ≤ 0ni16_0 + ni16_0 ≤ 0ni16_0ni16_0 ≤ 0ni11_post + ni11_post ≤ 0ni11_postni11_post ≤ 0ni11_0 + ni11_0 ≤ 0ni11_0ni11_0 ≤ 0nc_0 + nc_0 ≤ 0nc_0nc_0 ≤ 0nb_0 + nb_0 ≤ 0nb_0nb_0 ≤ 0na_0 + na_0 ≤ 0na_0na_0 ≤ 0nPow___020_post + nPow___020_post ≤ 0nPow___020_postnPow___020_post ≤ 0nPow___020_0 + nPow___020_0 ≤ 0nPow___020_0nPow___020_0 ≤ 0nPow___015_post + nPow___015_post ≤ 0nPow___015_postnPow___015_post ≤ 0nPow___015_0 + nPow___015_0 ≤ 0nPow___015_0nPow___015_0 ≤ 0nPow___010_post + nPow___010_post ≤ 0nPow___010_postnPow___010_post ≤ 0nPow___010_0 + nPow___010_0 ≤ 0nPow___010_0nPow___010_0 ≤ 0nN_post + nN_post ≤ 0nN_postnN_post ≤ 0nN_0 + nN_0 ≤ 0nN_0nN_0 ≤ 0

### 10 SCC Decomposition

We consider subproblems for each of the 3 SCC(s) of the program graph.

### 10.1 SCC Subproblem 1/3

Here we consider the SCC { 2, 4, 4_var_snapshot, 4* }.

### 10.1.1 Transition Removal

We remove transition 2 using the following ranking functions, which are bounded by −16.

 2: − nN_0 − 6⋅ni21_0 4: 1 − 6⋅ni21_0 4_var_snapshot: −6⋅ni21_0 4*: 2 − 6⋅ni21_0
Hints:
 19 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 21 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 2 lexStrict[ [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 6 lexWeak[ [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1] ]

### 10.1.2 Transition Removal

We remove transitions 19, 21, 6 using the following ranking functions, which are bounded by −4.

 2: −2⋅nN_0 4: 0 4_var_snapshot: − nN_0 4*: 1
Hints:
 19 lexStrict[ [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 21 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 6 lexStrict[ [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2] , [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

### 10.1.3 Splitting Cut-Point Transitions

We consider 1 subproblems corresponding to sets of cut-point transitions as follows.

### 10.1.3.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 18.

### 10.1.3.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

### 10.2 SCC Subproblem 2/3

Here we consider the SCC { 5, 6, 5_var_snapshot, 5* }.

### 10.2.1 Transition Removal

We remove transition 5 using the following ranking functions, which are bounded by −9.

 5: 2 − 4⋅ni16_0 6: −4⋅ni16_0 5_var_snapshot: 1 − 4⋅ni16_0 5*: nN_0 − 4⋅ni16_0
Hints:
 26 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 28 lexWeak[ [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 3 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 5 lexStrict[ [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] , [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

### 10.2.2 Transition Removal

We remove transitions 26, 28, 3 using the following ranking functions, which are bounded by −4.

 5: 0 6: − nN_0 − nN_post 5_var_snapshot: − nN_post 5*: nN_post
Hints:
 26 lexStrict[ [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 28 lexStrict[ [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 3 lexStrict[ [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1] , [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

### 10.2.3 Splitting Cut-Point Transitions

We consider 1 subproblems corresponding to sets of cut-point transitions as follows.

### 10.2.3.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 25.

### 10.2.3.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

### 10.3 SCC Subproblem 3/3

Here we consider the SCC { 0, 1, 0_var_snapshot, 0* }.

### 10.3.1 Transition Removal

We remove transition 8 using the following ranking functions, which are bounded by −15.

 0: 6 − 7⋅ni11_0 1: −7⋅ni11_0 0_var_snapshot: 3 − 7⋅ni11_0 0*: 2⋅nN_0 − 7⋅ni11_0
Hints:
 12 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 14 lexWeak[ [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 0 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 8 lexStrict[ [0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0] , [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

### 10.3.2 Transition Removal

We remove transitions 12, 0 using the following ranking functions, which are bounded by −4.

 0: 0 1: −1 − nN_post 0_var_snapshot: − nN_post 0*: nN_0
Hints:
 12 lexStrict[ [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 14 lexWeak[ [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 0 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0] , [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

### 10.3.3 Transition Removal

We remove transition 14 using the following ranking functions, which are bounded by 2.

 0: 0 1: 0 0_var_snapshot: 0 0*: nN_post
Hints:
 14 lexStrict[ [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

### 10.3.4 Splitting Cut-Point Transitions

We consider 1 subproblems corresponding to sets of cut-point transitions as follows.

### 10.3.4.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 11.

### 10.3.4.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

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