LTS Termination Proof

by T2Cert

Input

• Initial Location: 21
• 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  2	1	3:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  4	2	5:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 + tmp___1_post ≤ 0 ∧ 1 − tmp___1_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  6	3	5:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 + tmp___1_post ≤ 0 ∧ 1 − tmp___1_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  7	4	5:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 + tmp___1_post ≤ 0 ∧ 1 − tmp___1_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  8	5	5:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 + tmp___1_post ≤ 0 ∧ 1 − tmp___1_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  5	6	9:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  10	7	8:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  10	8	5:		0 ≤ 0 ∧ 0 ≤ 0 ∧ tmp___1_post ≤ 0 ∧ − tmp___1_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  10	9	8:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  11	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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  11	11	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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  11	12	10:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  12	13	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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  12	14	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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  12	15	11:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  13	16	14:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  15	17	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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  15	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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  15	19	12:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  16	20	17:		0 ≤ 0 ∧ 0 ≤ 0 ∧ nDim_0 − nk_0 ≤ 0 ∧ −1 − nj_0 + nj_post ≤ 0 ∧ 1 + nj_0 − nj_post ≤ 0 ∧ nj_0 − nj_post ≤ 0 ∧ − nj_0 + nj_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  16	21	18:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − nDim_0 + nk_0 ≤ 0 ∧ −1 − nk_0 + nk_post ≤ 0 ∧ 1 + nk_0 − nk_post ≤ 0 ∧ nk_0 − nk_post ≤ 0 ∧ − nk_0 + nk_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 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  17	22	19:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  19	23	13:		0 ≤ 0 ∧ 0 ≤ 0 ∧ nDim_0 − nj_0 ≤ 0 ∧ −1 − ni_0 + ni_post ≤ 0 ∧ 1 + ni_0 − ni_post ≤ 0 ∧ ni_0 − ni_post ≤ 0 ∧ − ni_0 + ni_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  19	24	18:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − nDim_0 + nj_0 ≤ 0 ∧ nk_post ≤ 0 ∧ − nk_post ≤ 0 ∧ nk_0 − nk_post ≤ 0 ∧ − nk_0 + nk_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 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  14	25	15:		nDim_0 − ni_0 ≤ 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  14	26	17:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − nDim_0 + ni_0 ≤ 0 ∧ nj_post ≤ 0 ∧ − nj_post ≤ 0 ∧ nj_0 − nj_post ≤ 0 ∧ − nj_0 + nj_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  18	27	16:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  3	28	0:		0 ≤ 0 ∧ 0 ≤ 0 ∧ nDim_0 − nj_0 ≤ 0 ∧ −1 − ni_0 + ni_post ≤ 0 ∧ 1 + ni_0 − ni_post ≤ 0 ∧ ni_0 − ni_post ≤ 0 ∧ − ni_0 + ni_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  3	29	2:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − nDim_0 + nj_0 ≤ 0 ∧ −1 − nj_0 + nj_post ≤ 0 ∧ 1 + nj_0 − nj_post ≤ 0 ∧ nj_0 − nj_post ≤ 0 ∧ − nj_0 + nj_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  1	30	13:		0 ≤ 0 ∧ 0 ≤ 0 ∧ nDim_0 − ni_0 ≤ 0 ∧ ni_post ≤ 0 ∧ − ni_post ≤ 0 ∧ ni_0 − ni_post ≤ 0 ∧ − ni_0 + ni_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  1	31	2:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − nDim_0 + ni_0 ≤ 0 ∧ nj_post ≤ 0 ∧ − nj_post ≤ 0 ∧ nj_0 − nj_post ≤ 0 ∧ − nj_0 + nj_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0
  20	32	0:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ −2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ ni_post ≤ 0 ∧ − ni_post ≤ 0 ∧ nDim_0 − nDim_post ≤ 0 ∧ − nDim_0 + nDim_post ≤ 0 ∧ ni_0 − ni_post ≤ 0 ∧ − ni_0 + ni_post ≤ 0 ∧ tmp_0 − tmp_post ≤ 0 ∧ − tmp_0 + tmp_post ≤ 0 ∧ tmp___0_0 − tmp___0_post ≤ 0 ∧ − tmp___0_0 + tmp___0_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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0
  21	33	20:		− 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

Proof

1 Invariant Updates

The following invariants are asserted.

The invariants are proved as follows.

IMPACT Invariant Proof

• nodes (location) invariant:

  0		(0)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ −2 + nDim_0 ≤ 0 ∧ 2 − nDim_0 ≤ 0
  1		(1)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ −2 + nDim_0 ≤ 0 ∧ 2 − nDim_0 ≤ 0
  2		(2)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ −2 + nDim_0 ≤ 0 ∧ 2 − nDim_0 ≤ 0
  3		(3)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ −2 + nDim_0 ≤ 0 ∧ 2 − nDim_0 ≤ 0
  4		(4)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  5		(5)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0 ∧ −1 + tmp___1_post ≤ 0 ∧ −1 + tmp___1_0 ≤ 0
  6		(6)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  7		(7)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  8		(8)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  9		(9)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0 ∧ −1 + tmp___1_post ≤ 0 ∧ −1 + tmp___1_0 ≤ 0
  10		(10)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  11		(11)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  12		(12)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  13		(13)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  14		(14)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  15		(15)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  16		(16)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  17		(17)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  18		(18)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  19		(19)		−2 + nDim_post ≤ 0 ∧ 2 − nDim_post ≤ 0 ∧ 2 − nDim_0 ≤ 0
  20		(20)		TRUE
  21		(21)		TRUE

• initial node: 21
• cover edges:
• transition edges:

  0	0 1
  1	30 13
  1	31 2
  2	1 3
  3	28 0
  3	29 2
  4	2 5
  5	6 9
  6	3 5
  7	4 5
  8	5 5
  10	7 8
  10	8 5
  10	9 8
  11	10 7
  11	11 7
  11	12 10
  12	13 6
  12	14 6
  12	15 11
  13	16 14
  14	25 15
  14	26 17
  15	17 4
  15	18 4
  15	19 12
  16	20 17
  16	21 18
  17	22 19
  18	27 16
  19	23 13
  19	24 18
  20	32 0
  21	33 20

2 Switch to Cooperation Termination Proof

3 Transition Removal

We remove transitions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 25, 30, 32, 33 using the following ranking functions, which are bounded by −41.

4 Location Addition

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

0* 37 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

5 Location Addition

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

0 35 0_var_snapshot: − 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

6 Location Addition

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

2* 44 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

7 Location Addition

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

2 42 2_var_snapshot: − 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

8 Location Addition

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

13* 51 13: − 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

9 Location Addition

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

13 49 13_var_snapshot: − 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

10 Location Addition

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

17* 58 17: − 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

11 Location Addition

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

17 56 17_var_snapshot: − 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

12 Location Addition

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

18* 65 18: − 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

13 Location Addition

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

18 63 18_var_snapshot: − 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 ∧ − nk_post + nk_post ≤ 0 ∧ nk_post − nk_post ≤ 0 ∧ − nk_0 + nk_0 ≤ 0 ∧ nk_0 − nk_0 ≤ 0 ∧ − nj_post + nj_post ≤ 0 ∧ nj_post − nj_post ≤ 0 ∧ − nj_0 + nj_0 ≤ 0 ∧ nj_0 − nj_0 ≤ 0 ∧ − ni_post + ni_post ≤ 0 ∧ ni_post − ni_post ≤ 0 ∧ − ni_0 + ni_0 ≤ 0 ∧ ni_0 − ni_0 ≤ 0 ∧ − nDim_post + nDim_post ≤ 0 ∧ nDim_post − nDim_post ≤ 0 ∧ − nDim_0 + nDim_0 ≤ 0 ∧ nDim_0 − nDim_0 ≤ 0

14 SCC Decomposition

We consider subproblems for each of the 2 SCC(s) of the program graph.

14.1 SCC Subproblem 1/2

Here we consider the SCC { 13, 14, 16, 17, 18, 19, 13_var_snapshot, 13*, 17_var_snapshot, 17*, 18_var_snapshot, 18* }.

14.1.1 Transition Removal

We remove transition 26 using the following ranking functions, which are bounded by 17.

14.1.2 Transition Removal

We remove transition 24 using the following ranking functions, which are bounded by 5.

14.1.3 Transition Removal

We remove transition 21 using the following ranking functions, which are bounded by 5.

14.1.4 Transition Removal

We remove transitions 49, 56, 58, 63, 65, 16, 20, 22, 23, 27 using the following ranking functions, which are bounded by −11.

14.1.5 Transition Removal

We remove transition 51 using the following ranking functions, which are bounded by 1.

14.1.6 Splitting Cut-Point Transitions

We consider 3 subproblems corresponding to sets of cut-point transitions as follows.

14.1.6.1 Cut-Point Subproblem 1/3

14.1.6.1.1 Splitting Cut-Point Transitions

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

14.1.6.2 Cut-Point Subproblem 2/3

14.1.6.2.1 Splitting Cut-Point Transitions

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

14.1.6.3 Cut-Point Subproblem 3/3

14.1.6.3.1 Splitting Cut-Point Transitions

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

14.2 SCC Subproblem 2/2

Here we consider the SCC { 0, 1, 2, 3, 0_var_snapshot, 0*, 2_var_snapshot, 2* }.

14.2.1 Transition Removal

We remove transition 31 using the following ranking functions, which are bounded by −9.

14.2.2 Transition Removal

We remove transition 29 using the following ranking functions, which are bounded by −4.

14.2.3 Transition Removal

We remove transitions 35, 37, 42, 44, 0, 1, 28 using the following ranking functions, which are bounded by −9.

14.2.4 Splitting Cut-Point Transitions

We consider 2 subproblems corresponding to sets of cut-point transitions as follows.

14.2.4.1 Cut-Point Subproblem 1/2

14.2.4.1.1 Splitting Cut-Point Transitions

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

14.2.4.2 Cut-Point Subproblem 2/2

14.2.4.2.1 Splitting Cut-Point Transitions

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

Tool configuration

T2Cert

• version: 1.0