LTS Termination Proof

by T2Cert

Input

• Initial Location: 6
• Transitions: (pre-variables and post-variables)

  0	0	1:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − res5_0 + res5_post − tmp7_0 ≤ 0 ∧ res5_0 − res5_post + tmp7_0 ≤ 0 ∧ −1 − nI6_0 + nI6_post ≤ 0 ∧ 1 + nI6_0 − nI6_post ≤ 0 ∧ nI6_0 − nI6_post ≤ 0 ∧ − nI6_0 + nI6_post ≤ 0 ∧ res5_0 − res5_post ≤ 0 ∧ − res5_0 + res5_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 ∧ − tmp7_post + tmp7_post ≤ 0 ∧ tmp7_post − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_0 ≤ 0 ∧ tmp7_0 − tmp7_0 ≤ 0 ∧ − ret_nBC211_post + ret_nBC211_post ≤ 0 ∧ ret_nBC211_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_0 ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_0 ≤ 0 ∧ − ret_nBC18_post + ret_nBC18_post ≤ 0 ∧ ret_nBC18_post − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_0 ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_0 ≤ 0 ∧ − res10_post + res10_post ≤ 0 ∧ res10_post − res10_post ≤ 0 ∧ − res10_4 + res10_4 ≤ 0 ∧ res10_4 − res10_4 ≤ 0 ∧ − res10_3 + res10_3 ≤ 0 ∧ res10_3 − res10_3 ≤ 0 ∧ − res10_2 + res10_2 ≤ 0 ∧ res10_2 − res10_2 ≤ 0 ∧ − res10_1 + res10_1 ≤ 0 ∧ res10_1 − res10_1 ≤ 0 ∧ − res10_0 + res10_0 ≤ 0 ∧ res10_0 − res10_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX9_post + nX9_post ≤ 0 ∧ nX9_post − nX9_post ≤ 0 ∧ − nX9_0 + nX9_0 ≤ 0 ∧ nX9_0 − nX9_0 ≤ 0 ∧ − nX4_post + nX4_post ≤ 0 ∧ nX4_post − nX4_post ≤ 0 ∧ − nX4_0 + nX4_0 ≤ 0 ∧ nX4_0 − nX4_0 ≤ 0
  2	1	0:		0 ≤ 0 ∧ 0 ≤ 0 ∧ tmp7_post ≤ 0 ∧ − tmp7_post ≤ 0 ∧ tmp7_0 − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_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_nBC211_post + ret_nBC211_post ≤ 0 ∧ ret_nBC211_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_0 ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_0 ≤ 0 ∧ − ret_nBC18_post + ret_nBC18_post ≤ 0 ∧ ret_nBC18_post − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_0 ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_0 ≤ 0 ∧ − res5_post + res5_post ≤ 0 ∧ res5_post − res5_post ≤ 0 ∧ − res5_0 + res5_0 ≤ 0 ∧ res5_0 − res5_0 ≤ 0 ∧ − res10_post + res10_post ≤ 0 ∧ res10_post − res10_post ≤ 0 ∧ − res10_4 + res10_4 ≤ 0 ∧ res10_4 − res10_4 ≤ 0 ∧ − res10_3 + res10_3 ≤ 0 ∧ res10_3 − res10_3 ≤ 0 ∧ − res10_2 + res10_2 ≤ 0 ∧ res10_2 − res10_2 ≤ 0 ∧ − res10_1 + res10_1 ≤ 0 ∧ res10_1 − res10_1 ≤ 0 ∧ − res10_0 + res10_0 ≤ 0 ∧ res10_0 − res10_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX9_post + nX9_post ≤ 0 ∧ nX9_post − nX9_post ≤ 0 ∧ − nX9_0 + nX9_0 ≤ 0 ∧ nX9_0 − nX9_0 ≤ 0 ∧ − nX4_post + nX4_post ≤ 0 ∧ nX4_post − nX4_post ≤ 0 ∧ − nX4_0 + nX4_0 ≤ 0 ∧ nX4_0 − nX4_0 ≤ 0 ∧ − nI6_post + nI6_post ≤ 0 ∧ nI6_post − nI6_post ≤ 0 ∧ − nI6_0 + nI6_0 ≤ 0 ∧ nI6_0 − nI6_0 ≤ 0
  2	2	0:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 + tmp7_post ≤ 0 ∧ 1 − tmp7_post ≤ 0 ∧ tmp7_0 − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_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_nBC211_post + ret_nBC211_post ≤ 0 ∧ ret_nBC211_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_0 ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_0 ≤ 0 ∧ − ret_nBC18_post + ret_nBC18_post ≤ 0 ∧ ret_nBC18_post − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_0 ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_0 ≤ 0 ∧ − res5_post + res5_post ≤ 0 ∧ res5_post − res5_post ≤ 0 ∧ − res5_0 + res5_0 ≤ 0 ∧ res5_0 − res5_0 ≤ 0 ∧ − res10_post + res10_post ≤ 0 ∧ res10_post − res10_post ≤ 0 ∧ − res10_4 + res10_4 ≤ 0 ∧ res10_4 − res10_4 ≤ 0 ∧ − res10_3 + res10_3 ≤ 0 ∧ res10_3 − res10_3 ≤ 0 ∧ − res10_2 + res10_2 ≤ 0 ∧ res10_2 − res10_2 ≤ 0 ∧ − res10_1 + res10_1 ≤ 0 ∧ res10_1 − res10_1 ≤ 0 ∧ − res10_0 + res10_0 ≤ 0 ∧ res10_0 − res10_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX9_post + nX9_post ≤ 0 ∧ nX9_post − nX9_post ≤ 0 ∧ − nX9_0 + nX9_0 ≤ 0 ∧ nX9_0 − nX9_0 ≤ 0 ∧ − nX4_post + nX4_post ≤ 0 ∧ nX4_post − nX4_post ≤ 0 ∧ − nX4_0 + nX4_0 ≤ 0 ∧ nX4_0 − nX4_0 ≤ 0 ∧ − nI6_post + nI6_post ≤ 0 ∧ nI6_post − nI6_post ≤ 0 ∧ − nI6_0 + nI6_0 ≤ 0 ∧ nI6_0 − nI6_0 ≤ 0
  3	3	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 ∧ 16 − nI6_0 ≤ 0 ∧ − res5_0 + ret_nBC18_post ≤ 0 ∧ res5_0 − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_post + tmp_post ≤ 0 ∧ ret_nBC18_post − tmp_post ≤ 0 ∧ nX9_post − nX_0 ≤ 0 ∧ − nX9_post + nX_0 ≤ 0 ∧ − nX9_post + res10_1 ≤ 0 ∧ nX9_post − res10_1 ≤ 0 ∧ − res10_post + ret_nBC211_post ≤ 0 ∧ res10_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_post + tmp___0_post ≤ 0 ∧ ret_nBC211_post − tmp___0_post ≤ 0 ∧ nX9_0 − nX9_post ≤ 0 ∧ − nX9_0 + nX9_post ≤ 0 ∧ res10_0 − res10_post ≤ 0 ∧ − res10_0 + res10_post ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_post ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_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 ∧ − tmp7_post + tmp7_post ≤ 0 ∧ tmp7_post − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_0 ≤ 0 ∧ tmp7_0 − tmp7_0 ≤ 0 ∧ − res5_post + res5_post ≤ 0 ∧ res5_post − res5_post ≤ 0 ∧ − res5_0 + res5_0 ≤ 0 ∧ res5_0 − res5_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX4_post + nX4_post ≤ 0 ∧ nX4_post − nX4_post ≤ 0 ∧ − nX4_0 + nX4_0 ≤ 0 ∧ nX4_0 − nX4_0 ≤ 0 ∧ − nI6_post + nI6_post ≤ 0 ∧ nI6_post − nI6_post ≤ 0 ∧ − nI6_0 + nI6_0 ≤ 0 ∧ nI6_0 − nI6_0 ≤ 0
  3	4	2:		−15 + nI6_0 ≤ 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 ∧ − tmp7_post + tmp7_post ≤ 0 ∧ tmp7_post − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_0 ≤ 0 ∧ tmp7_0 − tmp7_0 ≤ 0 ∧ − ret_nBC211_post + ret_nBC211_post ≤ 0 ∧ ret_nBC211_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_0 ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_0 ≤ 0 ∧ − ret_nBC18_post + ret_nBC18_post ≤ 0 ∧ ret_nBC18_post − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_0 ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_0 ≤ 0 ∧ − res5_post + res5_post ≤ 0 ∧ res5_post − res5_post ≤ 0 ∧ − res5_0 + res5_0 ≤ 0 ∧ res5_0 − res5_0 ≤ 0 ∧ − res10_post + res10_post ≤ 0 ∧ res10_post − res10_post ≤ 0 ∧ − res10_4 + res10_4 ≤ 0 ∧ res10_4 − res10_4 ≤ 0 ∧ − res10_3 + res10_3 ≤ 0 ∧ res10_3 − res10_3 ≤ 0 ∧ − res10_2 + res10_2 ≤ 0 ∧ res10_2 − res10_2 ≤ 0 ∧ − res10_1 + res10_1 ≤ 0 ∧ res10_1 − res10_1 ≤ 0 ∧ − res10_0 + res10_0 ≤ 0 ∧ res10_0 − res10_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX9_post + nX9_post ≤ 0 ∧ nX9_post − nX9_post ≤ 0 ∧ − nX9_0 + nX9_0 ≤ 0 ∧ nX9_0 − nX9_0 ≤ 0 ∧ − nX4_post + nX4_post ≤ 0 ∧ nX4_post − nX4_post ≤ 0 ∧ − nX4_0 + nX4_0 ≤ 0 ∧ nX4_0 − nX4_0 ≤ 0 ∧ − nI6_post + nI6_post ≤ 0 ∧ nI6_post − nI6_post ≤ 0 ∧ − nI6_0 + nI6_0 ≤ 0 ∧ nI6_0 − nI6_0 ≤ 0
  1	5	3:		− 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 ∧ − tmp7_post + tmp7_post ≤ 0 ∧ tmp7_post − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_0 ≤ 0 ∧ tmp7_0 − tmp7_0 ≤ 0 ∧ − ret_nBC211_post + ret_nBC211_post ≤ 0 ∧ ret_nBC211_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_0 ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_0 ≤ 0 ∧ − ret_nBC18_post + ret_nBC18_post ≤ 0 ∧ ret_nBC18_post − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_0 ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_0 ≤ 0 ∧ − res5_post + res5_post ≤ 0 ∧ res5_post − res5_post ≤ 0 ∧ − res5_0 + res5_0 ≤ 0 ∧ res5_0 − res5_0 ≤ 0 ∧ − res10_post + res10_post ≤ 0 ∧ res10_post − res10_post ≤ 0 ∧ − res10_4 + res10_4 ≤ 0 ∧ res10_4 − res10_4 ≤ 0 ∧ − res10_3 + res10_3 ≤ 0 ∧ res10_3 − res10_3 ≤ 0 ∧ − res10_2 + res10_2 ≤ 0 ∧ res10_2 − res10_2 ≤ 0 ∧ − res10_1 + res10_1 ≤ 0 ∧ res10_1 − res10_1 ≤ 0 ∧ − res10_0 + res10_0 ≤ 0 ∧ res10_0 − res10_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX9_post + nX9_post ≤ 0 ∧ nX9_post − nX9_post ≤ 0 ∧ − nX9_0 + nX9_0 ≤ 0 ∧ nX9_0 − nX9_0 ≤ 0 ∧ − nX4_post + nX4_post ≤ 0 ∧ nX4_post − nX4_post ≤ 0 ∧ − nX4_0 + nX4_0 ≤ 0 ∧ nX4_0 − nX4_0 ≤ 0 ∧ − nI6_post + nI6_post ≤ 0 ∧ nI6_post − nI6_post ≤ 0 ∧ − nI6_0 + nI6_0 ≤ 0 ∧ nI6_0 − nI6_0 ≤ 0
  5	6	1:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ nX4_post − nX_0 ≤ 0 ∧ − nX4_post + nX_0 ≤ 0 ∧ res5_post ≤ 0 ∧ − res5_post ≤ 0 ∧ nI6_post ≤ 0 ∧ − nI6_post ≤ 0 ∧ nI6_0 − nI6_post ≤ 0 ∧ − nI6_0 + nI6_post ≤ 0 ∧ nX4_0 − nX4_post ≤ 0 ∧ − nX4_0 + nX4_post ≤ 0 ∧ res5_0 − res5_post ≤ 0 ∧ − res5_0 + res5_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 ∧ − tmp7_post + tmp7_post ≤ 0 ∧ tmp7_post − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_0 ≤ 0 ∧ tmp7_0 − tmp7_0 ≤ 0 ∧ − ret_nBC211_post + ret_nBC211_post ≤ 0 ∧ ret_nBC211_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_0 ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_0 ≤ 0 ∧ − ret_nBC18_post + ret_nBC18_post ≤ 0 ∧ ret_nBC18_post − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_0 ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_0 ≤ 0 ∧ − res10_post + res10_post ≤ 0 ∧ res10_post − res10_post ≤ 0 ∧ − res10_4 + res10_4 ≤ 0 ∧ res10_4 − res10_4 ≤ 0 ∧ − res10_3 + res10_3 ≤ 0 ∧ res10_3 − res10_3 ≤ 0 ∧ − res10_2 + res10_2 ≤ 0 ∧ res10_2 − res10_2 ≤ 0 ∧ − res10_1 + res10_1 ≤ 0 ∧ res10_1 − res10_1 ≤ 0 ∧ − res10_0 + res10_0 ≤ 0 ∧ res10_0 − res10_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX9_post + nX9_post ≤ 0 ∧ nX9_post − nX9_post ≤ 0 ∧ − nX9_0 + nX9_0 ≤ 0 ∧ nX9_0 − nX9_0 ≤ 0
  6	7	5:		− 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 ∧ − tmp7_post + tmp7_post ≤ 0 ∧ tmp7_post − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_0 ≤ 0 ∧ tmp7_0 − tmp7_0 ≤ 0 ∧ − ret_nBC211_post + ret_nBC211_post ≤ 0 ∧ ret_nBC211_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_0 ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_0 ≤ 0 ∧ − ret_nBC18_post + ret_nBC18_post ≤ 0 ∧ ret_nBC18_post − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_0 ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_0 ≤ 0 ∧ − res5_post + res5_post ≤ 0 ∧ res5_post − res5_post ≤ 0 ∧ − res5_0 + res5_0 ≤ 0 ∧ res5_0 − res5_0 ≤ 0 ∧ − res10_post + res10_post ≤ 0 ∧ res10_post − res10_post ≤ 0 ∧ − res10_4 + res10_4 ≤ 0 ∧ res10_4 − res10_4 ≤ 0 ∧ − res10_3 + res10_3 ≤ 0 ∧ res10_3 − res10_3 ≤ 0 ∧ − res10_2 + res10_2 ≤ 0 ∧ res10_2 − res10_2 ≤ 0 ∧ − res10_1 + res10_1 ≤ 0 ∧ res10_1 − res10_1 ≤ 0 ∧ − res10_0 + res10_0 ≤ 0 ∧ res10_0 − res10_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX9_post + nX9_post ≤ 0 ∧ nX9_post − nX9_post ≤ 0 ∧ − nX9_0 + nX9_0 ≤ 0 ∧ nX9_0 − nX9_0 ≤ 0 ∧ − nX4_post + nX4_post ≤ 0 ∧ nX4_post − nX4_post ≤ 0 ∧ − nX4_0 + nX4_0 ≤ 0 ∧ nX4_0 − nX4_0 ≤ 0 ∧ − nI6_post + nI6_post ≤ 0 ∧ nI6_post − nI6_post ≤ 0 ∧ − nI6_0 + nI6_0 ≤ 0 ∧ nI6_0 − nI6_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)		− tmp7_post ≤ 0 ∧ − tmp7_0 ≤ 0
  1		(1)		TRUE
  2		(2)		TRUE
  3		(3)		TRUE
  4		(4)		16 − nI6_0 ≤ 0
  5		(5)		TRUE
  6		(6)		TRUE

• initial node: 6
• cover edges:
• transition edges:

  0	0 1
  1	5 3
  2	1 0
  2	2 0
  3	3 4
  3	4 2
  5	6 1
  6	7 5

2 Switch to Cooperation Termination Proof

3 Transition Removal

We remove transitions 3, 6, 7 using the following ranking functions, which are bounded by −13.

4 Location Addition

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

1* 11 1: − 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 ∧ − tmp7_post + tmp7_post ≤ 0 ∧ tmp7_post − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_0 ≤ 0 ∧ tmp7_0 − tmp7_0 ≤ 0 ∧ − ret_nBC211_post + ret_nBC211_post ≤ 0 ∧ ret_nBC211_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_0 ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_0 ≤ 0 ∧ − ret_nBC18_post + ret_nBC18_post ≤ 0 ∧ ret_nBC18_post − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_0 ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_0 ≤ 0 ∧ − res5_post + res5_post ≤ 0 ∧ res5_post − res5_post ≤ 0 ∧ − res5_0 + res5_0 ≤ 0 ∧ res5_0 − res5_0 ≤ 0 ∧ − res10_post + res10_post ≤ 0 ∧ res10_post − res10_post ≤ 0 ∧ − res10_4 + res10_4 ≤ 0 ∧ res10_4 − res10_4 ≤ 0 ∧ − res10_3 + res10_3 ≤ 0 ∧ res10_3 − res10_3 ≤ 0 ∧ − res10_2 + res10_2 ≤ 0 ∧ res10_2 − res10_2 ≤ 0 ∧ − res10_1 + res10_1 ≤ 0 ∧ res10_1 − res10_1 ≤ 0 ∧ − res10_0 + res10_0 ≤ 0 ∧ res10_0 − res10_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX9_post + nX9_post ≤ 0 ∧ nX9_post − nX9_post ≤ 0 ∧ − nX9_0 + nX9_0 ≤ 0 ∧ nX9_0 − nX9_0 ≤ 0 ∧ − nX4_post + nX4_post ≤ 0 ∧ nX4_post − nX4_post ≤ 0 ∧ − nX4_0 + nX4_0 ≤ 0 ∧ nX4_0 − nX4_0 ≤ 0 ∧ − nI6_post + nI6_post ≤ 0 ∧ nI6_post − nI6_post ≤ 0 ∧ − nI6_0 + nI6_0 ≤ 0 ∧ nI6_0 − nI6_0 ≤ 0

5 Location Addition

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

1 9 1_var_snapshot: − 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 ∧ − tmp7_post + tmp7_post ≤ 0 ∧ tmp7_post − tmp7_post ≤ 0 ∧ − tmp7_0 + tmp7_0 ≤ 0 ∧ tmp7_0 − tmp7_0 ≤ 0 ∧ − ret_nBC211_post + ret_nBC211_post ≤ 0 ∧ ret_nBC211_post − ret_nBC211_post ≤ 0 ∧ − ret_nBC211_0 + ret_nBC211_0 ≤ 0 ∧ ret_nBC211_0 − ret_nBC211_0 ≤ 0 ∧ − ret_nBC18_post + ret_nBC18_post ≤ 0 ∧ ret_nBC18_post − ret_nBC18_post ≤ 0 ∧ − ret_nBC18_0 + ret_nBC18_0 ≤ 0 ∧ ret_nBC18_0 − ret_nBC18_0 ≤ 0 ∧ − res5_post + res5_post ≤ 0 ∧ res5_post − res5_post ≤ 0 ∧ − res5_0 + res5_0 ≤ 0 ∧ res5_0 − res5_0 ≤ 0 ∧ − res10_post + res10_post ≤ 0 ∧ res10_post − res10_post ≤ 0 ∧ − res10_4 + res10_4 ≤ 0 ∧ res10_4 − res10_4 ≤ 0 ∧ − res10_3 + res10_3 ≤ 0 ∧ res10_3 − res10_3 ≤ 0 ∧ − res10_2 + res10_2 ≤ 0 ∧ res10_2 − res10_2 ≤ 0 ∧ − res10_1 + res10_1 ≤ 0 ∧ res10_1 − res10_1 ≤ 0 ∧ − res10_0 + res10_0 ≤ 0 ∧ res10_0 − res10_0 ≤ 0 ∧ − nX_0 + nX_0 ≤ 0 ∧ nX_0 − nX_0 ≤ 0 ∧ − nX9_post + nX9_post ≤ 0 ∧ nX9_post − nX9_post ≤ 0 ∧ − nX9_0 + nX9_0 ≤ 0 ∧ nX9_0 − nX9_0 ≤ 0 ∧ − nX4_post + nX4_post ≤ 0 ∧ nX4_post − nX4_post ≤ 0 ∧ − nX4_0 + nX4_0 ≤ 0 ∧ nX4_0 − nX4_0 ≤ 0 ∧ − nI6_post + nI6_post ≤ 0 ∧ nI6_post − nI6_post ≤ 0 ∧ − nI6_0 + nI6_0 ≤ 0 ∧ nI6_0 − nI6_0 ≤ 0

6 SCC Decomposition

We consider subproblems for each of the 1 SCC(s) of the program graph.

6.1 SCC Subproblem 1/1

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

6.1.1 Transition Removal

We remove transition 4 using the following ranking functions, which are bounded by −92.

6.1.2 Transition Removal

We remove transitions 9, 11, 0, 1, 2, 5 using the following ranking functions, which are bounded by −5.

6.1.3 Splitting Cut-Point Transitions

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

6.1.3.1 Cut-Point Subproblem 1/1

6.1.3.1.1 Splitting Cut-Point Transitions

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

Tool configuration

T2Cert

• version: 1.0