LTS Termination Proof

by T2Cert

Input

Integer Transition System

Proof

1 Invariant Updates

The following invariants are asserted.

0: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ x_13_1 ≤ 0 ∧ − x_13_1 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0
1: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ x_13_post ≤ 0 ∧ − x_13_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ x_13_0 ≤ 0 ∧ − x_13_0 ≤ 0
2: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ x_13_post ≤ 0 ∧ − x_13_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ x_13_0 ≤ 0 ∧ − x_13_0 ≤ 0
3: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ elem_16_post ≤ 0 ∧ − elem_16_post ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ elem_16_0 ≤ 0 ∧ − elem_16_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0
4: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ elem_16_post ≤ 0 ∧ − elem_16_post ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ elem_16_0 ≤ 0 ∧ − elem_16_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0
5: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0
6: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0
7: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ −1 + ____patmp1_post ≤ 0 ∧ 1 − ____patmp1_post ≤ 0 ∧ −1 + len_246_post ≤ 0 ∧ −1 + ____patmp1_0 ≤ 0 ∧ 1 − ____patmp1_0 ≤ 0 ∧ −1 + len_246_0 ≤ 0
8: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ −1 + ____patmp1_post ≤ 0 ∧ 1 − ____patmp1_post ≤ 0 ∧ −1 + len_246_post ≤ 0 ∧ −1 + ____patmp1_0 ≤ 0 ∧ 1 − ____patmp1_0 ≤ 0 ∧ −1 + len_246_0 ≤ 0
9: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0
10: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ x_13_1 ≤ 0 ∧ − x_13_1 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0
11: TRUE
12: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ − a_243_0 ≤ 0 ∧ − len_246_0 ≤ 0
13: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ − a_243_0 ≤ 0 ∧ − len_246_0 ≤ 0
14: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ − a_243_0 ≤ 0 ∧ − len_246_0 ≤ 0
15: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ − a_243_0 ≤ 0 ∧ − len_246_0 ≤ 0
16: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ − a_243_0 ≤ 0 ∧ − len_246_0 ≤ 0
17: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ − a_128_0 ≤ 0 ∧ − a_243_0 ≤ 0 ∧ 1 − len_246_0 ≤ 0
18: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ c_15_0 ≤ 0 ∧ − c_15_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ − a_243_0 ≤ 0 ∧ − len_246_0 ≤ 0 ∧ − k_296_0 ≤ 0
19: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ − k_296_0 ≤ 0
20: −17 + length_7_post ≤ 0 ∧ 17 − length_7_post ≤ 0 ∧ head_9_1 ≤ 0 ∧ − head_9_1 ≤ 0 ∧ i_8_1 ≤ 0 ∧ − i_8_1 ≤ 0 ∧ 1 − len_48_0 ≤ 0 ∧ −17 + length_7_0 ≤ 0 ∧ 17 − length_7_0 ≤ 0 ∧ prev_17_post ≤ 0 ∧ − prev_17_post ≤ 0 ∧ − a_128_0 ≤ 0 ∧ prev_17_0 ≤ 0 ∧ − prev_17_0 ≤ 0 ∧ − k_296_0 ≤ 0
21: TRUE

The invariants are proved as follows.

IMPACT Invariant Proof

2 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
0 30 0: − y_80_0 + y_80_0 ≤ 0 ∧ y_80_0 − y_80_0 ≤ 0 ∧ − y_309_0 + y_309_0 ≤ 0 ∧ y_309_0 − y_309_0 ≤ 0 ∧ − y_259_0 + y_259_0 ≤ 0 ∧ y_259_0 − y_259_0 ≤ 0 ∧ − y_158_0 + y_158_0 ≤ 0 ∧ y_158_0 − y_158_0 ≤ 0 ∧ − y_14_post + y_14_post ≤ 0 ∧ y_14_post − y_14_post ≤ 0 ∧ − y_14_0 + y_14_0 ≤ 0 ∧ y_14_0 − y_14_0 ≤ 0 ∧ − y_110_0 + y_110_0 ≤ 0 ∧ y_110_0 − y_110_0 ≤ 0 ∧ − x_23_0 + x_23_0 ≤ 0 ∧ x_23_0 − x_23_0 ≤ 0 ∧ − x_13_post + x_13_post ≤ 0 ∧ x_13_post − x_13_post ≤ 0 ∧ − x_13_1 + x_13_1 ≤ 0 ∧ x_13_1 − x_13_1 ≤ 0 ∧ − x_13_0 + x_13_0 ≤ 0 ∧ x_13_0 − x_13_0 ≤ 0 ∧ − tmp___0_11_post + tmp___0_11_post ≤ 0 ∧ tmp___0_11_post − tmp___0_11_post ≤ 0 ∧ − tmp___0_11_0 + tmp___0_11_0 ≤ 0 ∧ tmp___0_11_0 − tmp___0_11_0 ≤ 0 ∧ − tmp_10_post + tmp_10_post ≤ 0 ∧ tmp_10_post − tmp_10_post ≤ 0 ∧ − tmp_10_0 + tmp_10_0 ≤ 0 ∧ tmp_10_0 − tmp_10_0 ≤ 0 ∧ − prev_17_post + prev_17_post ≤ 0 ∧ prev_17_post − prev_17_post ≤ 0 ∧ − prev_17_0 + prev_17_0 ≤ 0 ∧ prev_17_0 − prev_17_0 ≤ 0 ∧ − lt_21_post + lt_21_post ≤ 0 ∧ lt_21_post − lt_21_post ≤ 0 ∧ − lt_21_1 + lt_21_1 ≤ 0 ∧ lt_21_1 − lt_21_1 ≤ 0 ∧ − lt_21_0 + lt_21_0 ≤ 0 ∧ lt_21_0 − lt_21_0 ≤ 0 ∧ − lt_20_post + lt_20_post ≤ 0 ∧ lt_20_post − lt_20_post ≤ 0 ∧ − lt_20_1 + lt_20_1 ≤ 0 ∧ lt_20_1 − lt_20_1 ≤ 0 ∧ − lt_20_0 + lt_20_0 ≤ 0 ∧ lt_20_0 − lt_20_0 ≤ 0 ∧ − lt_19_post + lt_19_post ≤ 0 ∧ lt_19_post − lt_19_post ≤ 0 ∧ − lt_19_1 + lt_19_1 ≤ 0 ∧ lt_19_1 − lt_19_1 ≤ 0 ∧ − lt_19_0 + lt_19_0 ≤ 0 ∧ lt_19_0 − lt_19_0 ≤ 0 ∧ − lt_18_post + lt_18_post ≤ 0 ∧ lt_18_post − lt_18_post ≤ 0 ∧ − lt_18_1 + lt_18_1 ≤ 0 ∧ lt_18_1 − lt_18_1 ≤ 0 ∧ − lt_18_0 + lt_18_0 ≤ 0 ∧ lt_18_0 − lt_18_0 ≤ 0 ∧ − length_7_post + length_7_post ≤ 0 ∧ length_7_post − length_7_post ≤ 0 ∧ − length_7_0 + length_7_0 ≤ 0 ∧ length_7_0 − length_7_0 ≤ 0 ∧ − len_48_post + len_48_post ≤ 0 ∧ len_48_post − len_48_post ≤ 0 ∧ − len_48_0 + len_48_0 ≤ 0 ∧ len_48_0 − len_48_0 ≤ 0 ∧ − len_246_post + len_246_post ≤ 0 ∧ len_246_post − len_246_post ≤ 0 ∧ − len_246_0 + len_246_0 ≤ 0 ∧ len_246_0 − len_246_0 ≤ 0 ∧ − k_296_post + k_296_post ≤ 0 ∧ k_296_post − k_296_post ≤ 0 ∧ − k_296_0 + k_296_0 ≤ 0 ∧ k_296_0 − k_296_0 ≤ 0 ∧ − i_8_post + i_8_post ≤ 0 ∧ i_8_post − i_8_post ≤ 0 ∧ − i_8_1 + i_8_1 ≤ 0 ∧ i_8_1 − i_8_1 ≤ 0 ∧ − i_8_0 + i_8_0 ≤ 0 ∧ i_8_0 − i_8_0 ≤ 0 ∧ − head_9_post + head_9_post ≤ 0 ∧ head_9_post − head_9_post ≤ 0 ∧ − head_9_1 + head_9_1 ≤ 0 ∧ head_9_1 − head_9_1 ≤ 0 ∧ − head_9_0 + head_9_0 ≤ 0 ∧ head_9_0 − head_9_0 ≤ 0 ∧ − elem_16_post + elem_16_post ≤ 0 ∧ elem_16_post − elem_16_post ≤ 0 ∧ − elem_16_0 + elem_16_0 ≤ 0 ∧ elem_16_0 − elem_16_0 ≤ 0 ∧ − cnt_276_post + cnt_276_post ≤ 0 ∧ cnt_276_post − cnt_276_post ≤ 0 ∧ − cnt_276_0 + cnt_276_0 ≤ 0 ∧ cnt_276_0 − cnt_276_0 ≤ 0 ∧ − cnt_269_post + cnt_269_post ≤ 0 ∧ cnt_269_post − cnt_269_post ≤ 0 ∧ − cnt_269_0 + cnt_269_0 ≤ 0 ∧ cnt_269_0 − cnt_269_0 ≤ 0 ∧ − cnt_139_post + cnt_139_post ≤ 0 ∧ cnt_139_post − cnt_139_post ≤ 0 ∧ − cnt_139_0 + cnt_139_0 ≤ 0 ∧ cnt_139_0 − cnt_139_0 ≤ 0 ∧ − cnt_133_post + cnt_133_post ≤ 0 ∧ cnt_133_post − cnt_133_post ≤ 0 ∧ − cnt_133_0 + cnt_133_0 ≤ 0 ∧ cnt_133_0 − cnt_133_0 ≤ 0 ∧ − c_15_post + c_15_post ≤ 0 ∧ c_15_post − c_15_post ≤ 0 ∧ − c_15_0 + c_15_0 ≤ 0 ∧ c_15_0 − c_15_0 ≤ 0 ∧ − a_243_post + a_243_post ≤ 0 ∧ a_243_post − a_243_post ≤ 0 ∧ − a_243_0 + a_243_0 ≤ 0 ∧ a_243_0 − a_243_0 ≤ 0 ∧ − a_128_post + a_128_post ≤ 0 ∧ a_128_post − a_128_post ≤ 0 ∧ − a_128_0 + a_128_0 ≤ 0 ∧ a_128_0 − a_128_0 ≤ 0 ∧ − ____patmp2_post + ____patmp2_post ≤ 0 ∧ ____patmp2_post − ____patmp2_post ≤ 0 ∧ − ____patmp2_0 + ____patmp2_0 ≤ 0 ∧ ____patmp2_0 − ____patmp2_0 ≤ 0 ∧ − ____patmp1_post + ____patmp1_post ≤ 0 ∧ ____patmp1_post − ____patmp1_post ≤ 0 ∧ − ____patmp1_0 + ____patmp1_0 ≤ 0 ∧ ____patmp1_0 − ____patmp1_0 ≤ 0 ∧ − ____cil_tmp6_12_post + ____cil_tmp6_12_post ≤ 0 ∧ ____cil_tmp6_12_post − ____cil_tmp6_12_post ≤ 0 ∧ − ____cil_tmp6_12_0 + ____cil_tmp6_12_0 ≤ 0 ∧ ____cil_tmp6_12_0 − ____cil_tmp6_12_0 ≤ 0 ∧ − Result_6_post + Result_6_post ≤ 0 ∧ Result_6_post − Result_6_post ≤ 0 ∧ − Result_6_0 + Result_6_0 ≤ 0 ∧ Result_6_0 − Result_6_0 ≤ 0
9 37 9: − y_80_0 + y_80_0 ≤ 0 ∧ y_80_0 − y_80_0 ≤ 0 ∧ − y_309_0 + y_309_0 ≤ 0 ∧ y_309_0 − y_309_0 ≤ 0 ∧ − y_259_0 + y_259_0 ≤ 0 ∧ y_259_0 − y_259_0 ≤ 0 ∧ − y_158_0 + y_158_0 ≤ 0 ∧ y_158_0 − y_158_0 ≤ 0 ∧ − y_14_post + y_14_post ≤ 0 ∧ y_14_post − y_14_post ≤ 0 ∧ − y_14_0 + y_14_0 ≤ 0 ∧ y_14_0 − y_14_0 ≤ 0 ∧ − y_110_0 + y_110_0 ≤ 0 ∧ y_110_0 − y_110_0 ≤ 0 ∧ − x_23_0 + x_23_0 ≤ 0 ∧ x_23_0 − x_23_0 ≤ 0 ∧ − x_13_post + x_13_post ≤ 0 ∧ x_13_post − x_13_post ≤ 0 ∧ − x_13_1 + x_13_1 ≤ 0 ∧ x_13_1 − x_13_1 ≤ 0 ∧ − x_13_0 + x_13_0 ≤ 0 ∧ x_13_0 − x_13_0 ≤ 0 ∧ − tmp___0_11_post + tmp___0_11_post ≤ 0 ∧ tmp___0_11_post − tmp___0_11_post ≤ 0 ∧ − tmp___0_11_0 + tmp___0_11_0 ≤ 0 ∧ tmp___0_11_0 − tmp___0_11_0 ≤ 0 ∧ − tmp_10_post + tmp_10_post ≤ 0 ∧ tmp_10_post − tmp_10_post ≤ 0 ∧ − tmp_10_0 + tmp_10_0 ≤ 0 ∧ tmp_10_0 − tmp_10_0 ≤ 0 ∧ − prev_17_post + prev_17_post ≤ 0 ∧ prev_17_post − prev_17_post ≤ 0 ∧ − prev_17_0 + prev_17_0 ≤ 0 ∧ prev_17_0 − prev_17_0 ≤ 0 ∧ − lt_21_post + lt_21_post ≤ 0 ∧ lt_21_post − lt_21_post ≤ 0 ∧ − lt_21_1 + lt_21_1 ≤ 0 ∧ lt_21_1 − lt_21_1 ≤ 0 ∧ − lt_21_0 + lt_21_0 ≤ 0 ∧ lt_21_0 − lt_21_0 ≤ 0 ∧ − lt_20_post + lt_20_post ≤ 0 ∧ lt_20_post − lt_20_post ≤ 0 ∧ − lt_20_1 + lt_20_1 ≤ 0 ∧ lt_20_1 − lt_20_1 ≤ 0 ∧ − lt_20_0 + lt_20_0 ≤ 0 ∧ lt_20_0 − lt_20_0 ≤ 0 ∧ − lt_19_post + lt_19_post ≤ 0 ∧ lt_19_post − lt_19_post ≤ 0 ∧ − lt_19_1 + lt_19_1 ≤ 0 ∧ lt_19_1 − lt_19_1 ≤ 0 ∧ − lt_19_0 + lt_19_0 ≤ 0 ∧ lt_19_0 − lt_19_0 ≤ 0 ∧ − lt_18_post + lt_18_post ≤ 0 ∧ lt_18_post − lt_18_post ≤ 0 ∧ − lt_18_1 + lt_18_1 ≤ 0 ∧ lt_18_1 − lt_18_1 ≤ 0 ∧ − lt_18_0 + lt_18_0 ≤ 0 ∧ lt_18_0 − lt_18_0 ≤ 0 ∧ − length_7_post + length_7_post ≤ 0 ∧ length_7_post − length_7_post ≤ 0 ∧ − length_7_0 + length_7_0 ≤ 0 ∧ length_7_0 − length_7_0 ≤ 0 ∧ − len_48_post + len_48_post ≤ 0 ∧ len_48_post − len_48_post ≤ 0 ∧ − len_48_0 + len_48_0 ≤ 0 ∧ len_48_0 − len_48_0 ≤ 0 ∧ − len_246_post + len_246_post ≤ 0 ∧ len_246_post − len_246_post ≤ 0 ∧ − len_246_0 + len_246_0 ≤ 0 ∧ len_246_0 − len_246_0 ≤ 0 ∧ − k_296_post + k_296_post ≤ 0 ∧ k_296_post − k_296_post ≤ 0 ∧ − k_296_0 + k_296_0 ≤ 0 ∧ k_296_0 − k_296_0 ≤ 0 ∧ − i_8_post + i_8_post ≤ 0 ∧ i_8_post − i_8_post ≤ 0 ∧ − i_8_1 + i_8_1 ≤ 0 ∧ i_8_1 − i_8_1 ≤ 0 ∧ − i_8_0 + i_8_0 ≤ 0 ∧ i_8_0 − i_8_0 ≤ 0 ∧ − head_9_post + head_9_post ≤ 0 ∧ head_9_post − head_9_post ≤ 0 ∧ − head_9_1 + head_9_1 ≤ 0 ∧ head_9_1 − head_9_1 ≤ 0 ∧ − head_9_0 + head_9_0 ≤ 0 ∧ head_9_0 − head_9_0 ≤ 0 ∧ − elem_16_post + elem_16_post ≤ 0 ∧ elem_16_post − elem_16_post ≤ 0 ∧ − elem_16_0 + elem_16_0 ≤ 0 ∧ elem_16_0 − elem_16_0 ≤ 0 ∧ − cnt_276_post + cnt_276_post ≤ 0 ∧ cnt_276_post − cnt_276_post ≤ 0 ∧ − cnt_276_0 + cnt_276_0 ≤ 0 ∧ cnt_276_0 − cnt_276_0 ≤ 0 ∧ − cnt_269_post + cnt_269_post ≤ 0 ∧ cnt_269_post − cnt_269_post ≤ 0 ∧ − cnt_269_0 + cnt_269_0 ≤ 0 ∧ cnt_269_0 − cnt_269_0 ≤ 0 ∧ − cnt_139_post + cnt_139_post ≤ 0 ∧ cnt_139_post − cnt_139_post ≤ 0 ∧ − cnt_139_0 + cnt_139_0 ≤ 0 ∧ cnt_139_0 − cnt_139_0 ≤ 0 ∧ − cnt_133_post + cnt_133_post ≤ 0 ∧ cnt_133_post − cnt_133_post ≤ 0 ∧ − cnt_133_0 + cnt_133_0 ≤ 0 ∧ cnt_133_0 − cnt_133_0 ≤ 0 ∧ − c_15_post + c_15_post ≤ 0 ∧ c_15_post − c_15_post ≤ 0 ∧ − c_15_0 + c_15_0 ≤ 0 ∧ c_15_0 − c_15_0 ≤ 0 ∧ − a_243_post + a_243_post ≤ 0 ∧ a_243_post − a_243_post ≤ 0 ∧ − a_243_0 + a_243_0 ≤ 0 ∧ a_243_0 − a_243_0 ≤ 0 ∧ − a_128_post + a_128_post ≤ 0 ∧ a_128_post − a_128_post ≤ 0 ∧ − a_128_0 + a_128_0 ≤ 0 ∧ a_128_0 − a_128_0 ≤ 0 ∧ − ____patmp2_post + ____patmp2_post ≤ 0 ∧ ____patmp2_post − ____patmp2_post ≤ 0 ∧ − ____patmp2_0 + ____patmp2_0 ≤ 0 ∧ ____patmp2_0 − ____patmp2_0 ≤ 0 ∧ − ____patmp1_post + ____patmp1_post ≤ 0 ∧ ____patmp1_post − ____patmp1_post ≤ 0 ∧ − ____patmp1_0 + ____patmp1_0 ≤ 0 ∧ ____patmp1_0 − ____patmp1_0 ≤ 0 ∧ − ____cil_tmp6_12_post + ____cil_tmp6_12_post ≤ 0 ∧ ____cil_tmp6_12_post − ____cil_tmp6_12_post ≤ 0 ∧ − ____cil_tmp6_12_0 + ____cil_tmp6_12_0 ≤ 0 ∧ ____cil_tmp6_12_0 − ____cil_tmp6_12_0 ≤ 0 ∧ − Result_6_post + Result_6_post ≤ 0 ∧ Result_6_post − Result_6_post ≤ 0 ∧ − Result_6_0 + Result_6_0 ≤ 0 ∧ Result_6_0 − Result_6_0 ≤ 0
and for every transition t, a duplicate t is considered.

3 Transition Removal

We remove transitions 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 20, 21, 22, 23, 24, 29 using the following ranking functions, which are bounded by −39.

21: 0
11: 0
0: 0
10: 0
1: 0
2: 0
3: 0
4: 0
5: 0
6: 0
7: 0
8: 0
9: 0
12: 0
13: 0
14: 0
19: 0
20: 0
18: 0
15: 0
16: 0
17: 0
21: −17
11: −18
0: −19
10: −19
0_var_snapshot: −19
0*: −19
1: −22
2: −23
3: −24
4: −25
5: −26
6: −27
7: −28
8: −29
9: −30
12: −30
13: −30
14: −30
19: −30
20: −30
9_var_snapshot: −30
9*: −30
18: −31
15: −35
16: −36
17: −37

4 Location Addition

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

0* 33 0: − y_80_0 + y_80_0 ≤ 0 ∧ y_80_0 − y_80_0 ≤ 0 ∧ − y_309_0 + y_309_0 ≤ 0 ∧ y_309_0 − y_309_0 ≤ 0 ∧ − y_259_0 + y_259_0 ≤ 0 ∧ y_259_0 − y_259_0 ≤ 0 ∧ − y_158_0 + y_158_0 ≤ 0 ∧ y_158_0 − y_158_0 ≤ 0 ∧ − y_14_post + y_14_post ≤ 0 ∧ y_14_post − y_14_post ≤ 0 ∧ − y_14_0 + y_14_0 ≤ 0 ∧ y_14_0 − y_14_0 ≤ 0 ∧ − y_110_0 + y_110_0 ≤ 0 ∧ y_110_0 − y_110_0 ≤ 0 ∧ − x_23_0 + x_23_0 ≤ 0 ∧ x_23_0 − x_23_0 ≤ 0 ∧ − x_13_post + x_13_post ≤ 0 ∧ x_13_post − x_13_post ≤ 0 ∧ − x_13_1 + x_13_1 ≤ 0 ∧ x_13_1 − x_13_1 ≤ 0 ∧ − x_13_0 + x_13_0 ≤ 0 ∧ x_13_0 − x_13_0 ≤ 0 ∧ − tmp___0_11_post + tmp___0_11_post ≤ 0 ∧ tmp___0_11_post − tmp___0_11_post ≤ 0 ∧ − tmp___0_11_0 + tmp___0_11_0 ≤ 0 ∧ tmp___0_11_0 − tmp___0_11_0 ≤ 0 ∧ − tmp_10_post + tmp_10_post ≤ 0 ∧ tmp_10_post − tmp_10_post ≤ 0 ∧ − tmp_10_0 + tmp_10_0 ≤ 0 ∧ tmp_10_0 − tmp_10_0 ≤ 0 ∧ − prev_17_post + prev_17_post ≤ 0 ∧ prev_17_post − prev_17_post ≤ 0 ∧ − prev_17_0 + prev_17_0 ≤ 0 ∧ prev_17_0 − prev_17_0 ≤ 0 ∧ − lt_21_post + lt_21_post ≤ 0 ∧ lt_21_post − lt_21_post ≤ 0 ∧ − lt_21_1 + lt_21_1 ≤ 0 ∧ lt_21_1 − lt_21_1 ≤ 0 ∧ − lt_21_0 + lt_21_0 ≤ 0 ∧ lt_21_0 − lt_21_0 ≤ 0 ∧ − lt_20_post + lt_20_post ≤ 0 ∧ lt_20_post − lt_20_post ≤ 0 ∧ − lt_20_1 + lt_20_1 ≤ 0 ∧ lt_20_1 − lt_20_1 ≤ 0 ∧ − lt_20_0 + lt_20_0 ≤ 0 ∧ lt_20_0 − lt_20_0 ≤ 0 ∧ − lt_19_post + lt_19_post ≤ 0 ∧ lt_19_post − lt_19_post ≤ 0 ∧ − lt_19_1 + lt_19_1 ≤ 0 ∧ lt_19_1 − lt_19_1 ≤ 0 ∧ − lt_19_0 + lt_19_0 ≤ 0 ∧ lt_19_0 − lt_19_0 ≤ 0 ∧ − lt_18_post + lt_18_post ≤ 0 ∧ lt_18_post − lt_18_post ≤ 0 ∧ − lt_18_1 + lt_18_1 ≤ 0 ∧ lt_18_1 − lt_18_1 ≤ 0 ∧ − lt_18_0 + lt_18_0 ≤ 0 ∧ lt_18_0 − lt_18_0 ≤ 0 ∧ − length_7_post + length_7_post ≤ 0 ∧ length_7_post − length_7_post ≤ 0 ∧ − length_7_0 + length_7_0 ≤ 0 ∧ length_7_0 − length_7_0 ≤ 0 ∧ − len_48_post + len_48_post ≤ 0 ∧ len_48_post − len_48_post ≤ 0 ∧ − len_48_0 + len_48_0 ≤ 0 ∧ len_48_0 − len_48_0 ≤ 0 ∧ − len_246_post + len_246_post ≤ 0 ∧ len_246_post − len_246_post ≤ 0 ∧ − len_246_0 + len_246_0 ≤ 0 ∧ len_246_0 − len_246_0 ≤ 0 ∧ − k_296_post + k_296_post ≤ 0 ∧ k_296_post − k_296_post ≤ 0 ∧ − k_296_0 + k_296_0 ≤ 0 ∧ k_296_0 − k_296_0 ≤ 0 ∧ − i_8_post + i_8_post ≤ 0 ∧ i_8_post − i_8_post ≤ 0 ∧ − i_8_1 + i_8_1 ≤ 0 ∧ i_8_1 − i_8_1 ≤ 0 ∧ − i_8_0 + i_8_0 ≤ 0 ∧ i_8_0 − i_8_0 ≤ 0 ∧ − head_9_post + head_9_post ≤ 0 ∧ head_9_post − head_9_post ≤ 0 ∧ − head_9_1 + head_9_1 ≤ 0 ∧ head_9_1 − head_9_1 ≤ 0 ∧ − head_9_0 + head_9_0 ≤ 0 ∧ head_9_0 − head_9_0 ≤ 0 ∧ − elem_16_post + elem_16_post ≤ 0 ∧ elem_16_post − elem_16_post ≤ 0 ∧ − elem_16_0 + elem_16_0 ≤ 0 ∧ elem_16_0 − elem_16_0 ≤ 0 ∧ − cnt_276_post + cnt_276_post ≤ 0 ∧ cnt_276_post − cnt_276_post ≤ 0 ∧ − cnt_276_0 + cnt_276_0 ≤ 0 ∧ cnt_276_0 − cnt_276_0 ≤ 0 ∧ − cnt_269_post + cnt_269_post ≤ 0 ∧ cnt_269_post − cnt_269_post ≤ 0 ∧ − cnt_269_0 + cnt_269_0 ≤ 0 ∧ cnt_269_0 − cnt_269_0 ≤ 0 ∧ − cnt_139_post + cnt_139_post ≤ 0 ∧ cnt_139_post − cnt_139_post ≤ 0 ∧ − cnt_139_0 + cnt_139_0 ≤ 0 ∧ cnt_139_0 − cnt_139_0 ≤ 0 ∧ − cnt_133_post + cnt_133_post ≤ 0 ∧ cnt_133_post − cnt_133_post ≤ 0 ∧ − cnt_133_0 + cnt_133_0 ≤ 0 ∧ cnt_133_0 − cnt_133_0 ≤ 0 ∧ − c_15_post + c_15_post ≤ 0 ∧ c_15_post − c_15_post ≤ 0 ∧ − c_15_0 + c_15_0 ≤ 0 ∧ c_15_0 − c_15_0 ≤ 0 ∧ − a_243_post + a_243_post ≤ 0 ∧ a_243_post − a_243_post ≤ 0 ∧ − a_243_0 + a_243_0 ≤ 0 ∧ a_243_0 − a_243_0 ≤ 0 ∧ − a_128_post + a_128_post ≤ 0 ∧ a_128_post − a_128_post ≤ 0 ∧ − a_128_0 + a_128_0 ≤ 0 ∧ a_128_0 − a_128_0 ≤ 0 ∧ − ____patmp2_post + ____patmp2_post ≤ 0 ∧ ____patmp2_post − ____patmp2_post ≤ 0 ∧ − ____patmp2_0 + ____patmp2_0 ≤ 0 ∧ ____patmp2_0 − ____patmp2_0 ≤ 0 ∧ − ____patmp1_post + ____patmp1_post ≤ 0 ∧ ____patmp1_post − ____patmp1_post ≤ 0 ∧ − ____patmp1_0 + ____patmp1_0 ≤ 0 ∧ ____patmp1_0 − ____patmp1_0 ≤ 0 ∧ − ____cil_tmp6_12_post + ____cil_tmp6_12_post ≤ 0 ∧ ____cil_tmp6_12_post − ____cil_tmp6_12_post ≤ 0 ∧ − ____cil_tmp6_12_0 + ____cil_tmp6_12_0 ≤ 0 ∧ ____cil_tmp6_12_0 − ____cil_tmp6_12_0 ≤ 0 ∧ − Result_6_post + Result_6_post ≤ 0 ∧ Result_6_post − Result_6_post ≤ 0 ∧ − Result_6_0 + Result_6_0 ≤ 0 ∧ Result_6_0 − Result_6_0 ≤ 0

5 Location Addition

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

0 31 0_var_snapshot: − y_80_0 + y_80_0 ≤ 0 ∧ y_80_0 − y_80_0 ≤ 0 ∧ − y_309_0 + y_309_0 ≤ 0 ∧ y_309_0 − y_309_0 ≤ 0 ∧ − y_259_0 + y_259_0 ≤ 0 ∧ y_259_0 − y_259_0 ≤ 0 ∧ − y_158_0 + y_158_0 ≤ 0 ∧ y_158_0 − y_158_0 ≤ 0 ∧ − y_14_post + y_14_post ≤ 0 ∧ y_14_post − y_14_post ≤ 0 ∧ − y_14_0 + y_14_0 ≤ 0 ∧ y_14_0 − y_14_0 ≤ 0 ∧ − y_110_0 + y_110_0 ≤ 0 ∧ y_110_0 − y_110_0 ≤ 0 ∧ − x_23_0 + x_23_0 ≤ 0 ∧ x_23_0 − x_23_0 ≤ 0 ∧ − x_13_post + x_13_post ≤ 0 ∧ x_13_post − x_13_post ≤ 0 ∧ − x_13_1 + x_13_1 ≤ 0 ∧ x_13_1 − x_13_1 ≤ 0 ∧ − x_13_0 + x_13_0 ≤ 0 ∧ x_13_0 − x_13_0 ≤ 0 ∧ − tmp___0_11_post + tmp___0_11_post ≤ 0 ∧ tmp___0_11_post − tmp___0_11_post ≤ 0 ∧ − tmp___0_11_0 + tmp___0_11_0 ≤ 0 ∧ tmp___0_11_0 − tmp___0_11_0 ≤ 0 ∧ − tmp_10_post + tmp_10_post ≤ 0 ∧ tmp_10_post − tmp_10_post ≤ 0 ∧ − tmp_10_0 + tmp_10_0 ≤ 0 ∧ tmp_10_0 − tmp_10_0 ≤ 0 ∧ − prev_17_post + prev_17_post ≤ 0 ∧ prev_17_post − prev_17_post ≤ 0 ∧ − prev_17_0 + prev_17_0 ≤ 0 ∧ prev_17_0 − prev_17_0 ≤ 0 ∧ − lt_21_post + lt_21_post ≤ 0 ∧ lt_21_post − lt_21_post ≤ 0 ∧ − lt_21_1 + lt_21_1 ≤ 0 ∧ lt_21_1 − lt_21_1 ≤ 0 ∧ − lt_21_0 + lt_21_0 ≤ 0 ∧ lt_21_0 − lt_21_0 ≤ 0 ∧ − lt_20_post + lt_20_post ≤ 0 ∧ lt_20_post − lt_20_post ≤ 0 ∧ − lt_20_1 + lt_20_1 ≤ 0 ∧ lt_20_1 − lt_20_1 ≤ 0 ∧ − lt_20_0 + lt_20_0 ≤ 0 ∧ lt_20_0 − lt_20_0 ≤ 0 ∧ − lt_19_post + lt_19_post ≤ 0 ∧ lt_19_post − lt_19_post ≤ 0 ∧ − lt_19_1 + lt_19_1 ≤ 0 ∧ lt_19_1 − lt_19_1 ≤ 0 ∧ − lt_19_0 + lt_19_0 ≤ 0 ∧ lt_19_0 − lt_19_0 ≤ 0 ∧ − lt_18_post + lt_18_post ≤ 0 ∧ lt_18_post − lt_18_post ≤ 0 ∧ − lt_18_1 + lt_18_1 ≤ 0 ∧ lt_18_1 − lt_18_1 ≤ 0 ∧ − lt_18_0 + lt_18_0 ≤ 0 ∧ lt_18_0 − lt_18_0 ≤ 0 ∧ − length_7_post + length_7_post ≤ 0 ∧ length_7_post − length_7_post ≤ 0 ∧ − length_7_0 + length_7_0 ≤ 0 ∧ length_7_0 − length_7_0 ≤ 0 ∧ − len_48_post + len_48_post ≤ 0 ∧ len_48_post − len_48_post ≤ 0 ∧ − len_48_0 + len_48_0 ≤ 0 ∧ len_48_0 − len_48_0 ≤ 0 ∧ − len_246_post + len_246_post ≤ 0 ∧ len_246_post − len_246_post ≤ 0 ∧ − len_246_0 + len_246_0 ≤ 0 ∧ len_246_0 − len_246_0 ≤ 0 ∧ − k_296_post + k_296_post ≤ 0 ∧ k_296_post − k_296_post ≤ 0 ∧ − k_296_0 + k_296_0 ≤ 0 ∧ k_296_0 − k_296_0 ≤ 0 ∧ − i_8_post + i_8_post ≤ 0 ∧ i_8_post − i_8_post ≤ 0 ∧ − i_8_1 + i_8_1 ≤ 0 ∧ i_8_1 − i_8_1 ≤ 0 ∧ − i_8_0 + i_8_0 ≤ 0 ∧ i_8_0 − i_8_0 ≤ 0 ∧ − head_9_post + head_9_post ≤ 0 ∧ head_9_post − head_9_post ≤ 0 ∧ − head_9_1 + head_9_1 ≤ 0 ∧ head_9_1 − head_9_1 ≤ 0 ∧ − head_9_0 + head_9_0 ≤ 0 ∧ head_9_0 − head_9_0 ≤ 0 ∧ − elem_16_post + elem_16_post ≤ 0 ∧ elem_16_post − elem_16_post ≤ 0 ∧ − elem_16_0 + elem_16_0 ≤ 0 ∧ elem_16_0 − elem_16_0 ≤ 0 ∧ − cnt_276_post + cnt_276_post ≤ 0 ∧ cnt_276_post − cnt_276_post ≤ 0 ∧ − cnt_276_0 + cnt_276_0 ≤ 0 ∧ cnt_276_0 − cnt_276_0 ≤ 0 ∧ − cnt_269_post + cnt_269_post ≤ 0 ∧ cnt_269_post − cnt_269_post ≤ 0 ∧ − cnt_269_0 + cnt_269_0 ≤ 0 ∧ cnt_269_0 − cnt_269_0 ≤ 0 ∧ − cnt_139_post + cnt_139_post ≤ 0 ∧ cnt_139_post − cnt_139_post ≤ 0 ∧ − cnt_139_0 + cnt_139_0 ≤ 0 ∧ cnt_139_0 − cnt_139_0 ≤ 0 ∧ − cnt_133_post + cnt_133_post ≤ 0 ∧ cnt_133_post − cnt_133_post ≤ 0 ∧ − cnt_133_0 + cnt_133_0 ≤ 0 ∧ cnt_133_0 − cnt_133_0 ≤ 0 ∧ − c_15_post + c_15_post ≤ 0 ∧ c_15_post − c_15_post ≤ 0 ∧ − c_15_0 + c_15_0 ≤ 0 ∧ c_15_0 − c_15_0 ≤ 0 ∧ − a_243_post + a_243_post ≤ 0 ∧ a_243_post − a_243_post ≤ 0 ∧ − a_243_0 + a_243_0 ≤ 0 ∧ a_243_0 − a_243_0 ≤ 0 ∧ − a_128_post + a_128_post ≤ 0 ∧ a_128_post − a_128_post ≤ 0 ∧ − a_128_0 + a_128_0 ≤ 0 ∧ a_128_0 − a_128_0 ≤ 0 ∧ − ____patmp2_post + ____patmp2_post ≤ 0 ∧ ____patmp2_post − ____patmp2_post ≤ 0 ∧ − ____patmp2_0 + ____patmp2_0 ≤ 0 ∧ ____patmp2_0 − ____patmp2_0 ≤ 0 ∧ − ____patmp1_post + ____patmp1_post ≤ 0 ∧ ____patmp1_post − ____patmp1_post ≤ 0 ∧ − ____patmp1_0 + ____patmp1_0 ≤ 0 ∧ ____patmp1_0 − ____patmp1_0 ≤ 0 ∧ − ____cil_tmp6_12_post + ____cil_tmp6_12_post ≤ 0 ∧ ____cil_tmp6_12_post − ____cil_tmp6_12_post ≤ 0 ∧ − ____cil_tmp6_12_0 + ____cil_tmp6_12_0 ≤ 0 ∧ ____cil_tmp6_12_0 − ____cil_tmp6_12_0 ≤ 0 ∧ − Result_6_post + Result_6_post ≤ 0 ∧ Result_6_post − Result_6_post ≤ 0 ∧ − Result_6_0 + Result_6_0 ≤ 0 ∧ Result_6_0 − Result_6_0 ≤ 0

6 Location Addition

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

9* 40 9: − y_80_0 + y_80_0 ≤ 0 ∧ y_80_0 − y_80_0 ≤ 0 ∧ − y_309_0 + y_309_0 ≤ 0 ∧ y_309_0 − y_309_0 ≤ 0 ∧ − y_259_0 + y_259_0 ≤ 0 ∧ y_259_0 − y_259_0 ≤ 0 ∧ − y_158_0 + y_158_0 ≤ 0 ∧ y_158_0 − y_158_0 ≤ 0 ∧ − y_14_post + y_14_post ≤ 0 ∧ y_14_post − y_14_post ≤ 0 ∧ − y_14_0 + y_14_0 ≤ 0 ∧ y_14_0 − y_14_0 ≤ 0 ∧ − y_110_0 + y_110_0 ≤ 0 ∧ y_110_0 − y_110_0 ≤ 0 ∧ − x_23_0 + x_23_0 ≤ 0 ∧ x_23_0 − x_23_0 ≤ 0 ∧ − x_13_post + x_13_post ≤ 0 ∧ x_13_post − x_13_post ≤ 0 ∧ − x_13_1 + x_13_1 ≤ 0 ∧ x_13_1 − x_13_1 ≤ 0 ∧ − x_13_0 + x_13_0 ≤ 0 ∧ x_13_0 − x_13_0 ≤ 0 ∧ − tmp___0_11_post + tmp___0_11_post ≤ 0 ∧ tmp___0_11_post − tmp___0_11_post ≤ 0 ∧ − tmp___0_11_0 + tmp___0_11_0 ≤ 0 ∧ tmp___0_11_0 − tmp___0_11_0 ≤ 0 ∧ − tmp_10_post + tmp_10_post ≤ 0 ∧ tmp_10_post − tmp_10_post ≤ 0 ∧ − tmp_10_0 + tmp_10_0 ≤ 0 ∧ tmp_10_0 − tmp_10_0 ≤ 0 ∧ − prev_17_post + prev_17_post ≤ 0 ∧ prev_17_post − prev_17_post ≤ 0 ∧ − prev_17_0 + prev_17_0 ≤ 0 ∧ prev_17_0 − prev_17_0 ≤ 0 ∧ − lt_21_post + lt_21_post ≤ 0 ∧ lt_21_post − lt_21_post ≤ 0 ∧ − lt_21_1 + lt_21_1 ≤ 0 ∧ lt_21_1 − lt_21_1 ≤ 0 ∧ − lt_21_0 + lt_21_0 ≤ 0 ∧ lt_21_0 − lt_21_0 ≤ 0 ∧ − lt_20_post + lt_20_post ≤ 0 ∧ lt_20_post − lt_20_post ≤ 0 ∧ − lt_20_1 + lt_20_1 ≤ 0 ∧ lt_20_1 − lt_20_1 ≤ 0 ∧ − lt_20_0 + lt_20_0 ≤ 0 ∧ lt_20_0 − lt_20_0 ≤ 0 ∧ − lt_19_post + lt_19_post ≤ 0 ∧ lt_19_post − lt_19_post ≤ 0 ∧ − lt_19_1 + lt_19_1 ≤ 0 ∧ lt_19_1 − lt_19_1 ≤ 0 ∧ − lt_19_0 + lt_19_0 ≤ 0 ∧ lt_19_0 − lt_19_0 ≤ 0 ∧ − lt_18_post + lt_18_post ≤ 0 ∧ lt_18_post − lt_18_post ≤ 0 ∧ − lt_18_1 + lt_18_1 ≤ 0 ∧ lt_18_1 − lt_18_1 ≤ 0 ∧ − lt_18_0 + lt_18_0 ≤ 0 ∧ lt_18_0 − lt_18_0 ≤ 0 ∧ − length_7_post + length_7_post ≤ 0 ∧ length_7_post − length_7_post ≤ 0 ∧ − length_7_0 + length_7_0 ≤ 0 ∧ length_7_0 − length_7_0 ≤ 0 ∧ − len_48_post + len_48_post ≤ 0 ∧ len_48_post − len_48_post ≤ 0 ∧ − len_48_0 + len_48_0 ≤ 0 ∧ len_48_0 − len_48_0 ≤ 0 ∧ − len_246_post + len_246_post ≤ 0 ∧ len_246_post − len_246_post ≤ 0 ∧ − len_246_0 + len_246_0 ≤ 0 ∧ len_246_0 − len_246_0 ≤ 0 ∧ − k_296_post + k_296_post ≤ 0 ∧ k_296_post − k_296_post ≤ 0 ∧ − k_296_0 + k_296_0 ≤ 0 ∧ k_296_0 − k_296_0 ≤ 0 ∧ − i_8_post + i_8_post ≤ 0 ∧ i_8_post − i_8_post ≤ 0 ∧ − i_8_1 + i_8_1 ≤ 0 ∧ i_8_1 − i_8_1 ≤ 0 ∧ − i_8_0 + i_8_0 ≤ 0 ∧ i_8_0 − i_8_0 ≤ 0 ∧ − head_9_post + head_9_post ≤ 0 ∧ head_9_post − head_9_post ≤ 0 ∧ − head_9_1 + head_9_1 ≤ 0 ∧ head_9_1 − head_9_1 ≤ 0 ∧ − head_9_0 + head_9_0 ≤ 0 ∧ head_9_0 − head_9_0 ≤ 0 ∧ − elem_16_post + elem_16_post ≤ 0 ∧ elem_16_post − elem_16_post ≤ 0 ∧ − elem_16_0 + elem_16_0 ≤ 0 ∧ elem_16_0 − elem_16_0 ≤ 0 ∧ − cnt_276_post + cnt_276_post ≤ 0 ∧ cnt_276_post − cnt_276_post ≤ 0 ∧ − cnt_276_0 + cnt_276_0 ≤ 0 ∧ cnt_276_0 − cnt_276_0 ≤ 0 ∧ − cnt_269_post + cnt_269_post ≤ 0 ∧ cnt_269_post − cnt_269_post ≤ 0 ∧ − cnt_269_0 + cnt_269_0 ≤ 0 ∧ cnt_269_0 − cnt_269_0 ≤ 0 ∧ − cnt_139_post + cnt_139_post ≤ 0 ∧ cnt_139_post − cnt_139_post ≤ 0 ∧ − cnt_139_0 + cnt_139_0 ≤ 0 ∧ cnt_139_0 − cnt_139_0 ≤ 0 ∧ − cnt_133_post + cnt_133_post ≤ 0 ∧ cnt_133_post − cnt_133_post ≤ 0 ∧ − cnt_133_0 + cnt_133_0 ≤ 0 ∧ cnt_133_0 − cnt_133_0 ≤ 0 ∧ − c_15_post + c_15_post ≤ 0 ∧ c_15_post − c_15_post ≤ 0 ∧ − c_15_0 + c_15_0 ≤ 0 ∧ c_15_0 − c_15_0 ≤ 0 ∧ − a_243_post + a_243_post ≤ 0 ∧ a_243_post − a_243_post ≤ 0 ∧ − a_243_0 + a_243_0 ≤ 0 ∧ a_243_0 − a_243_0 ≤ 0 ∧ − a_128_post + a_128_post ≤ 0 ∧ a_128_post − a_128_post ≤ 0 ∧ − a_128_0 + a_128_0 ≤ 0 ∧ a_128_0 − a_128_0 ≤ 0 ∧ − ____patmp2_post + ____patmp2_post ≤ 0 ∧ ____patmp2_post − ____patmp2_post ≤ 0 ∧ − ____patmp2_0 + ____patmp2_0 ≤ 0 ∧ ____patmp2_0 − ____patmp2_0 ≤ 0 ∧ − ____patmp1_post + ____patmp1_post ≤ 0 ∧ ____patmp1_post − ____patmp1_post ≤ 0 ∧ − ____patmp1_0 + ____patmp1_0 ≤ 0 ∧ ____patmp1_0 − ____patmp1_0 ≤ 0 ∧ − ____cil_tmp6_12_post + ____cil_tmp6_12_post ≤ 0 ∧ ____cil_tmp6_12_post − ____cil_tmp6_12_post ≤ 0 ∧ − ____cil_tmp6_12_0 + ____cil_tmp6_12_0 ≤ 0 ∧ ____cil_tmp6_12_0 − ____cil_tmp6_12_0 ≤ 0 ∧ − Result_6_post + Result_6_post ≤ 0 ∧ Result_6_post − Result_6_post ≤ 0 ∧ − Result_6_0 + Result_6_0 ≤ 0 ∧ Result_6_0 − Result_6_0 ≤ 0

7 Location Addition

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

9 38 9_var_snapshot: − y_80_0 + y_80_0 ≤ 0 ∧ y_80_0 − y_80_0 ≤ 0 ∧ − y_309_0 + y_309_0 ≤ 0 ∧ y_309_0 − y_309_0 ≤ 0 ∧ − y_259_0 + y_259_0 ≤ 0 ∧ y_259_0 − y_259_0 ≤ 0 ∧ − y_158_0 + y_158_0 ≤ 0 ∧ y_158_0 − y_158_0 ≤ 0 ∧ − y_14_post + y_14_post ≤ 0 ∧ y_14_post − y_14_post ≤ 0 ∧ − y_14_0 + y_14_0 ≤ 0 ∧ y_14_0 − y_14_0 ≤ 0 ∧ − y_110_0 + y_110_0 ≤ 0 ∧ y_110_0 − y_110_0 ≤ 0 ∧ − x_23_0 + x_23_0 ≤ 0 ∧ x_23_0 − x_23_0 ≤ 0 ∧ − x_13_post + x_13_post ≤ 0 ∧ x_13_post − x_13_post ≤ 0 ∧ − x_13_1 + x_13_1 ≤ 0 ∧ x_13_1 − x_13_1 ≤ 0 ∧ − x_13_0 + x_13_0 ≤ 0 ∧ x_13_0 − x_13_0 ≤ 0 ∧ − tmp___0_11_post + tmp___0_11_post ≤ 0 ∧ tmp___0_11_post − tmp___0_11_post ≤ 0 ∧ − tmp___0_11_0 + tmp___0_11_0 ≤ 0 ∧ tmp___0_11_0 − tmp___0_11_0 ≤ 0 ∧ − tmp_10_post + tmp_10_post ≤ 0 ∧ tmp_10_post − tmp_10_post ≤ 0 ∧ − tmp_10_0 + tmp_10_0 ≤ 0 ∧ tmp_10_0 − tmp_10_0 ≤ 0 ∧ − prev_17_post + prev_17_post ≤ 0 ∧ prev_17_post − prev_17_post ≤ 0 ∧ − prev_17_0 + prev_17_0 ≤ 0 ∧ prev_17_0 − prev_17_0 ≤ 0 ∧ − lt_21_post + lt_21_post ≤ 0 ∧ lt_21_post − lt_21_post ≤ 0 ∧ − lt_21_1 + lt_21_1 ≤ 0 ∧ lt_21_1 − lt_21_1 ≤ 0 ∧ − lt_21_0 + lt_21_0 ≤ 0 ∧ lt_21_0 − lt_21_0 ≤ 0 ∧ − lt_20_post + lt_20_post ≤ 0 ∧ lt_20_post − lt_20_post ≤ 0 ∧ − lt_20_1 + lt_20_1 ≤ 0 ∧ lt_20_1 − lt_20_1 ≤ 0 ∧ − lt_20_0 + lt_20_0 ≤ 0 ∧ lt_20_0 − lt_20_0 ≤ 0 ∧ − lt_19_post + lt_19_post ≤ 0 ∧ lt_19_post − lt_19_post ≤ 0 ∧ − lt_19_1 + lt_19_1 ≤ 0 ∧ lt_19_1 − lt_19_1 ≤ 0 ∧ − lt_19_0 + lt_19_0 ≤ 0 ∧ lt_19_0 − lt_19_0 ≤ 0 ∧ − lt_18_post + lt_18_post ≤ 0 ∧ lt_18_post − lt_18_post ≤ 0 ∧ − lt_18_1 + lt_18_1 ≤ 0 ∧ lt_18_1 − lt_18_1 ≤ 0 ∧ − lt_18_0 + lt_18_0 ≤ 0 ∧ lt_18_0 − lt_18_0 ≤ 0 ∧ − length_7_post + length_7_post ≤ 0 ∧ length_7_post − length_7_post ≤ 0 ∧ − length_7_0 + length_7_0 ≤ 0 ∧ length_7_0 − length_7_0 ≤ 0 ∧ − len_48_post + len_48_post ≤ 0 ∧ len_48_post − len_48_post ≤ 0 ∧ − len_48_0 + len_48_0 ≤ 0 ∧ len_48_0 − len_48_0 ≤ 0 ∧ − len_246_post + len_246_post ≤ 0 ∧ len_246_post − len_246_post ≤ 0 ∧ − len_246_0 + len_246_0 ≤ 0 ∧ len_246_0 − len_246_0 ≤ 0 ∧ − k_296_post + k_296_post ≤ 0 ∧ k_296_post − k_296_post ≤ 0 ∧ − k_296_0 + k_296_0 ≤ 0 ∧ k_296_0 − k_296_0 ≤ 0 ∧ − i_8_post + i_8_post ≤ 0 ∧ i_8_post − i_8_post ≤ 0 ∧ − i_8_1 + i_8_1 ≤ 0 ∧ i_8_1 − i_8_1 ≤ 0 ∧ − i_8_0 + i_8_0 ≤ 0 ∧ i_8_0 − i_8_0 ≤ 0 ∧ − head_9_post + head_9_post ≤ 0 ∧ head_9_post − head_9_post ≤ 0 ∧ − head_9_1 + head_9_1 ≤ 0 ∧ head_9_1 − head_9_1 ≤ 0 ∧ − head_9_0 + head_9_0 ≤ 0 ∧ head_9_0 − head_9_0 ≤ 0 ∧ − elem_16_post + elem_16_post ≤ 0 ∧ elem_16_post − elem_16_post ≤ 0 ∧ − elem_16_0 + elem_16_0 ≤ 0 ∧ elem_16_0 − elem_16_0 ≤ 0 ∧ − cnt_276_post + cnt_276_post ≤ 0 ∧ cnt_276_post − cnt_276_post ≤ 0 ∧ − cnt_276_0 + cnt_276_0 ≤ 0 ∧ cnt_276_0 − cnt_276_0 ≤ 0 ∧ − cnt_269_post + cnt_269_post ≤ 0 ∧ cnt_269_post − cnt_269_post ≤ 0 ∧ − cnt_269_0 + cnt_269_0 ≤ 0 ∧ cnt_269_0 − cnt_269_0 ≤ 0 ∧ − cnt_139_post + cnt_139_post ≤ 0 ∧ cnt_139_post − cnt_139_post ≤ 0 ∧ − cnt_139_0 + cnt_139_0 ≤ 0 ∧ cnt_139_0 − cnt_139_0 ≤ 0 ∧ − cnt_133_post + cnt_133_post ≤ 0 ∧ cnt_133_post − cnt_133_post ≤ 0 ∧ − cnt_133_0 + cnt_133_0 ≤ 0 ∧ cnt_133_0 − cnt_133_0 ≤ 0 ∧ − c_15_post + c_15_post ≤ 0 ∧ c_15_post − c_15_post ≤ 0 ∧ − c_15_0 + c_15_0 ≤ 0 ∧ c_15_0 − c_15_0 ≤ 0 ∧ − a_243_post + a_243_post ≤ 0 ∧ a_243_post − a_243_post ≤ 0 ∧ − a_243_0 + a_243_0 ≤ 0 ∧ a_243_0 − a_243_0 ≤ 0 ∧ − a_128_post + a_128_post ≤ 0 ∧ a_128_post − a_128_post ≤ 0 ∧ − a_128_0 + a_128_0 ≤ 0 ∧ a_128_0 − a_128_0 ≤ 0 ∧ − ____patmp2_post + ____patmp2_post ≤ 0 ∧ ____patmp2_post − ____patmp2_post ≤ 0 ∧ − ____patmp2_0 + ____patmp2_0 ≤ 0 ∧ ____patmp2_0 − ____patmp2_0 ≤ 0 ∧ − ____patmp1_post + ____patmp1_post ≤ 0 ∧ ____patmp1_post − ____patmp1_post ≤ 0 ∧ − ____patmp1_0 + ____patmp1_0 ≤ 0 ∧ ____patmp1_0 − ____patmp1_0 ≤ 0 ∧ − ____cil_tmp6_12_post + ____cil_tmp6_12_post ≤ 0 ∧ ____cil_tmp6_12_post − ____cil_tmp6_12_post ≤ 0 ∧ − ____cil_tmp6_12_0 + ____cil_tmp6_12_0 ≤ 0 ∧ ____cil_tmp6_12_0 − ____cil_tmp6_12_0 ≤ 0 ∧ − Result_6_post + Result_6_post ≤ 0 ∧ Result_6_post − Result_6_post ≤ 0 ∧ − Result_6_0 + Result_6_0 ≤ 0 ∧ Result_6_0 − Result_6_0 ≤ 0

8 SCC Decomposition

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

8.1 SCC Subproblem 1/2

Here we consider the SCC { 9, 12, 13, 14, 19, 20, 9_var_snapshot, 9* }.

8.1.1 Transition Removal

We remove transition 16 using the following ranking functions, which are bounded by −69.

9: 87⋅a_243_0 − 3⋅length_7_0
12: 68 + 87⋅a_243_0 − 5⋅length_7_0 − 4⋅length_7_post
13: 87⋅a_243_0 − 5⋅length_7_0
14: −86 + 87⋅a_243_0
19: 87⋅a_243_0
20: 87⋅a_243_0 − 3⋅length_7_0 + 2⋅length_7_post
9_var_snapshot: 87⋅a_243_0 − 4⋅length_7_post
9*: −17 + 87⋅a_243_0 − 3⋅length_7_0 + 2⋅length_7_post

8.1.2 Transition Removal

We remove transitions 38, 40, 18, 19, 25, 26, 27, 28 using the following ranking functions, which are bounded by −53.

9: −1 − 2⋅length_7_0 − length_7_post
12: len_48_0 + length_7_0
13: len_48_0
14: len_48_0 − 2⋅length_7_0 + length_7_post
19: len_48_0 − 2⋅length_7_0
20: −2⋅length_7_0
9_var_snapshot: −19⋅len_48_0 − 2⋅length_7_0
9*: −2⋅length_7_0 − length_7_post

8.1.3 Transition Removal

We remove transition 17 using the following ranking functions, which are bounded by 0.

9: 0
12: 1
13: 0
14: 0
19: 0
20: 0
9_var_snapshot: 0
9*: 0

8.1.4 Splitting Cut-Point Transitions

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

8.1.4.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 37.

8.1.4.1.1 Splitting Cut-Point Transitions

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

8.2 SCC Subproblem 2/2

Here we consider the SCC { 0, 10, 0_var_snapshot, 0* }.

8.2.1 Transition Removal

We remove transition 13 using the following ranking functions, which are bounded by −578.

0: −36⋅i_8_0
10: −36⋅i_8_0 + 2⋅length_7_0
0_var_snapshot: −1 − 36⋅i_8_0
0*: −17 − 36⋅i_8_0 + 2⋅length_7_0

8.2.2 Transition Removal

We remove transitions 31, 33, 14 using the following ranking functions, which are bounded by −1.

0: 0
10: 2
0_var_snapshot: −1
0*: 1

8.2.3 Splitting Cut-Point Transitions

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

8.2.3.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 30.

8.2.3.1.1 Splitting Cut-Point Transitions

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

Tool configuration

T2Cert