LTS Termination Proof

by T2Cert

Input

• Initial Location: 18
• Transitions: (pre-variables and post-variables)

  0	0	1:		0 ≤ 0 ∧ 0 ≤ 0 ∧ ___const_100_0 − i_0 ≤ 0 ∧ 2 − i_0 + j_post ≤ 0 ∧ −2 + i_0 − j_post ≤ 0 ∧ j_0 − j_post ≤ 0 ∧ − j_0 + j_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  0	1	2:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − ___const_100_0 + i_0 ≤ 0 ∧ −1 − i_0 + i_post ≤ 0 ∧ 1 + i_0 − i_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  3	2	4:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  2	3	0:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  5	4	6:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  7	5	5:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 − j10_0 + j10_post ≤ 0 ∧ 1 + j10_0 − j10_post ≤ 0 ∧ j10_0 − j10_post ≤ 0 ∧ − j10_0 + j10_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  8	6	7:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  8	7	5:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  8	8	7:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  9	9	3:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − j10_0 + ret_check12_post ≤ 0 ∧ j10_0 − ret_check12_post ≤ 0 ∧ j_post − ret_check12_post ≤ 0 ∧ − j_post + ret_check12_post ≤ 0 ∧ j_0 − j_post ≤ 0 ∧ − j_0 + j_post ≤ 0 ∧ ret_check12_0 − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  9	10	8:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  10	11	11:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  12	12	6:		0 ≤ 0 ∧ 0 ≤ 0 ∧ j10_post − j_0 ≤ 0 ∧ − j10_post + j_0 ≤ 0 ∧ j10_0 − j10_post ≤ 0 ∧ − j10_0 + j10_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  13	13	12:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  13	14	3:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  13	15	12:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  14	16	10:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  15	17	14:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 − j6_0 + j6_post ≤ 0 ∧ 1 + j6_0 − j6_post ≤ 0 ∧ j6_0 − j6_post ≤ 0 ∧ − j6_0 + j6_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  6	18	9:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  16	19	15:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  16	20	14:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  16	21	15:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  11	22	13:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − j6_0 + ret_check8_post ≤ 0 ∧ j6_0 − ret_check8_post ≤ 0 ∧ j_post − ret_check8_post ≤ 0 ∧ − j_post + ret_check8_post ≤ 0 ∧ j_0 − j_post ≤ 0 ∧ − j_0 + j_post ≤ 0 ∧ ret_check8_0 − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_post ≤ 0 ∧ tmp_0 − tmp_post ≤ 0 ∧ − tmp_0 + tmp_post ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  11	23	16:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  1	24	10:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + i_0 ≤ 0 ∧ j6_post − j_0 ≤ 0 ∧ − j6_post + j_0 ≤ 0 ∧ j6_0 − j6_post ≤ 0 ∧ − j6_0 + j6_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  1	25	4:		− i_0 ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  17	26	2:		0 ≤ 0 ∧ 0 ≤ 0 ∧ i_post ≤ 0 ∧ − i_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0
  18	27	17:		− tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_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)		TRUE
  1		(1)		TRUE
  2		(2)		TRUE
  3		(3)		1 + i_0 ≤ 0
  4		(4)		TRUE
  5		(5)		1 + i_0 ≤ 0
  6		(6)		1 + i_0 ≤ 0
  7		(7)		1 + i_0 ≤ 0
  8		(8)		1 + i_0 ≤ 0
  9		(9)		1 + i_0 ≤ 0
  10		(10)		1 + i_0 ≤ 0
  11		(11)		1 + i_0 ≤ 0
  12		(12)		1 + i_0 ≤ 0
  13		(13)		1 + i_0 ≤ 0
  14		(14)		1 + i_0 ≤ 0
  15		(15)		1 + i_0 ≤ 0
  16		(16)		1 + i_0 ≤ 0
  17		(17)		TRUE
  18		(18)		TRUE

• initial node: 18
• cover edges:
• transition edges:

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

2 Switch to Cooperation Termination Proof

3 Transition Removal

We remove transitions 0, 2, 9, 12, 13, 14, 15, 22, 24, 25, 26, 27 using the following ranking functions, which are bounded by −29.

4 Location Addition

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

2* 31 2: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0

5 Location Addition

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

2 29 2_var_snapshot: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0

6 Location Addition

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

6* 38 6: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0

7 Location Addition

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

6 36 6_var_snapshot: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0

8 Location Addition

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

10* 45 10: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_0 ≤ 0

9 Location Addition

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

10 43 10_var_snapshot: − tmp_post + tmp_post ≤ 0 ∧ tmp_post − tmp_post ≤ 0 ∧ − tmp_0 + tmp_0 ≤ 0 ∧ tmp_0 − tmp_0 ≤ 0 ∧ − ret_check8_post + ret_check8_post ≤ 0 ∧ ret_check8_post − ret_check8_post ≤ 0 ∧ − ret_check8_0 + ret_check8_0 ≤ 0 ∧ ret_check8_0 − ret_check8_0 ≤ 0 ∧ − ret_check12_post + ret_check12_post ≤ 0 ∧ ret_check12_post − ret_check12_post ≤ 0 ∧ − ret_check12_0 + ret_check12_0 ≤ 0 ∧ ret_check12_0 − ret_check12_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − j6_post + j6_post ≤ 0 ∧ j6_post − j6_post ≤ 0 ∧ − j6_0 + j6_0 ≤ 0 ∧ j6_0 − j6_0 ≤ 0 ∧ − j10_post + j10_post ≤ 0 ∧ j10_post − j10_post ≤ 0 ∧ − j10_0 + j10_0 ≤ 0 ∧ j10_0 − j10_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − ___const_100_0 + ___const_100_0 ≤ 0 ∧ ___const_100_0 − ___const_100_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 { 5, 6, 7, 8, 9, 6_var_snapshot, 6* }.

10.1.1 Splitting Cut-Point Transitions

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

10.1.1.1 Cut-Point Subproblem 1/1

10.1.1.1.1 Invariant Updates

The following invariants are asserted.

The invariants are proved as follows.

IMPACT Invariant Proof

• nodes (location) invariant:

  0		(18)		TRUE
  1		(17)		TRUE
  2		(2)		− i_0 ≤ 0
  3		(0)		− i_0 ≤ 0
  5		(1)		− i_0 ≤ 0
  6		(2)		− i_0 ≤ 0
  7		(10)		1 ≤ 0 ∧ 1 + i_0 ≤ 0
  8		(4)		TRUE

• initial node: 0
• cover edges:

  6

  → 2

• transition edges:

  0	27 1
  1	26 2
  2	3 3
  3	0 5
  3	1 6
  5	24 7
  5	25 8

10.1.1.1.2 Transition Removal

We remove transition 36 using the following ranking functions, which are bounded by −9.

10.1.1.1.3 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 { 10, 11, 14, 15, 16, 10_var_snapshot, 10* }.

10.2.1 Splitting Cut-Point Transitions

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

10.2.1.1 Cut-Point Subproblem 1/1

10.2.1.1.1 Invariant Updates

The following invariants are asserted.

The invariants are proved as follows.

IMPACT Invariant Proof

• nodes (location) invariant:

  0		(18)		TRUE
  1		(17)		TRUE
  2		(2)		− i_0 ≤ 0
  3		(0)		− i_0 ≤ 0
  5		(1)		− i_0 ≤ 0
  6		(2)		− i_0 ≤ 0
  7		(10)		1 ≤ 0 ∧ 1 + i_0 ≤ 0
  8		(4)		TRUE

• initial node: 0
• cover edges:

  6

  → 2

• transition edges:

  0	27 1
  1	26 2
  2	3 3
  3	0 5
  3	1 6
  5	24 7
  5	25 8

10.2.1.1.2 Transition Removal

We remove transition 43 using the following ranking functions, which are bounded by −9.

10.2.1.1.3 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, 2, 2_var_snapshot, 2* }.

10.3.1 Transition Removal

We remove transition 1 using the following ranking functions, which are bounded by 2.

10.3.2 Transition Removal

We remove transitions 29, 31, 3 using the following ranking functions, which are bounded by −3.

10.3.3 Splitting Cut-Point Transitions

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

10.3.3.1 Cut-Point Subproblem 1/1

10.3.3.1.1 Splitting Cut-Point Transitions

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

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