LTS Termination Proof

by T2Cert

Input

Integer Transition System

Proof

1 Invariant Updates

The following invariants are asserted.

0: TRUE
1: TRUE
2: TRUE
3: TRUE
4: 20 − OuterIndex5_0 ≤ 0
5: 20 − OuterIndex5_0 ≤ 0
6: 20 − OuterIndex5_0 ≤ 020 − OuterIndex8_0 ≤ 0
7: 20 − OuterIndex5_0 ≤ 020 − OuterIndex8_0 ≤ 0
8: 20 − OuterIndex5_0 ≤ 020 − OuterIndex8_0 ≤ 0
9: 20 − OuterIndex5_0 ≤ 020 − OuterIndex8_0 ≤ 0
10: 20 − OuterIndex5_0 ≤ 020 − OuterIndex8_0 ≤ 0
11: 20 − OuterIndex5_0 ≤ 020 − OuterIndex8_0 ≤ 0
12: 20 − OuterIndex5_0 ≤ 020 − OuterIndex8_0 ≤ 020 − Outer13_0 ≤ 0
13: 20 − OuterIndex5_0 ≤ 0
14: 20 − OuterIndex5_0 ≤ 0
15: TRUE
16: TRUE

The invariants are proved as follows.

IMPACT Invariant Proof

2 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
0 23 0: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0
2 30 2: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0
4 37 4: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0
7 44 7: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0
8 51 8: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0
10 58 10: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0
13 65 13: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0
and for every transition t, a duplicate t is considered.

3 Transition Removal

We remove transitions 7, 13, 19, 21, 22 using the following ranking functions, which are bounded by −29.

16: 0
15: 0
0: 0
1: 0
2: 0
3: 0
4: 0
5: 0
13: 0
14: 0
6: 0
7: 0
8: 0
9: 0
10: 0
11: 0
12: 0
16: −7
15: −8
0: −9
1: −9
2: −9
3: −9
0_var_snapshot: −9
0*: −9
2_var_snapshot: −9
2*: −9
4: −12
5: −12
13: −12
14: −12
4_var_snapshot: −12
4*: −12
13_var_snapshot: −12
13*: −12
6: −15
7: −15
8: −15
9: −15
10: −15
11: −15
7_var_snapshot: −15
7*: −15
8_var_snapshot: −15
8*: −15
10_var_snapshot: −15
10*: −15
12: −20

4 Location Addition

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

0* 26 0: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

5 Location Addition

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

0 24 0_var_snapshot: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

6 Location Addition

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

2* 33 2: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

7 Location Addition

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

2 31 2_var_snapshot: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

8 Location Addition

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

4* 40 4: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

9 Location Addition

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

4 38 4_var_snapshot: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

10 Location Addition

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

7* 47 7: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

11 Location Addition

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

7 45 7_var_snapshot: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

12 Location Addition

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

8* 54 8: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

13 Location Addition

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

8 52 8_var_snapshot: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

14 Location Addition

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

10* 61 10: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

15 Location Addition

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

10 59 10_var_snapshot: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

16 Location Addition

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

13* 68 13: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

17 Location Addition

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

13 66 13_var_snapshot: ret_RandomInteger17_post + ret_RandomInteger17_post ≤ 0ret_RandomInteger17_postret_RandomInteger17_post ≤ 0ret_RandomInteger17_0 + ret_RandomInteger17_0 ≤ 0ret_RandomInteger17_0ret_RandomInteger17_0 ≤ 0ret_RandomInteger16_post + ret_RandomInteger16_post ≤ 0ret_RandomInteger16_postret_RandomInteger16_post ≤ 0ret_RandomInteger16_0 + ret_RandomInteger16_0 ≤ 0ret_RandomInteger16_0ret_RandomInteger16_0 ≤ 0Seed_post + Seed_post ≤ 0Seed_postSeed_post ≤ 0Seed_0 + Seed_0 ≤ 0Seed_0Seed_0 ≤ 0OuterIndex8_post + OuterIndex8_post ≤ 0OuterIndex8_postOuterIndex8_post ≤ 0OuterIndex8_0 + OuterIndex8_0 ≤ 0OuterIndex8_0OuterIndex8_0 ≤ 0OuterIndex5_post + OuterIndex5_post ≤ 0OuterIndex5_postOuterIndex5_post ≤ 0OuterIndex5_0 + OuterIndex5_0 ≤ 0OuterIndex5_0OuterIndex5_0 ≤ 0Outer13_post + Outer13_post ≤ 0Outer13_postOuter13_post ≤ 0Outer13_0 + Outer13_0 ≤ 0Outer13_0Outer13_0 ≤ 0InnerIndex9_post + InnerIndex9_post ≤ 0InnerIndex9_postInnerIndex9_post ≤ 0InnerIndex9_0 + InnerIndex9_0 ≤ 0InnerIndex9_0InnerIndex9_0 ≤ 0InnerIndex6_post + InnerIndex6_post ≤ 0InnerIndex6_postInnerIndex6_post ≤ 0InnerIndex6_0 + InnerIndex6_0 ≤ 0InnerIndex6_0InnerIndex6_0 ≤ 0Inner14_post + Inner14_post ≤ 0Inner14_postInner14_post ≤ 0Inner14_0 + Inner14_0 ≤ 0Inner14_0Inner14_0 ≤ 0Index15_post + Index15_post ≤ 0Index15_postIndex15_post ≤ 0Index15_0 + Index15_0 ≤ 0Index15_0Index15_0 ≤ 0

18 SCC Decomposition

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

18.1 SCC Subproblem 1/3

Here we consider the SCC { 6, 7, 8, 9, 10, 11, 7_var_snapshot, 7*, 8_var_snapshot, 8*, 10_var_snapshot, 10* }.

18.1.1 Transition Removal

We remove transition 8 using the following ranking functions, which are bounded by −171.

6: −9⋅Outer13_0
7: −9⋅Outer13_0
8: −9⋅Outer13_0
9: −9⋅Outer13_0
10: 3 − 9⋅Outer13_0
11: 1 − 9⋅Outer13_0
7_var_snapshot: −9⋅Outer13_0
7*: −9⋅Outer13_0
8_var_snapshot: −9⋅Outer13_0
8*: −9⋅Outer13_0
10_var_snapshot: 2 − 9⋅Outer13_0
10*: 4 − 9⋅Outer13_0

18.1.2 Transition Removal

We remove transition 6 using the following ranking functions, which are bounded by −95.

6: −5⋅Inner14_0
7: 3 − 5⋅Inner14_0
8: −5⋅Inner14_0
9: 1 − 5⋅Inner14_0
10: 20 − 5⋅Inner14_0OuterIndex8_0
11: −1 − 5⋅Inner14_0OuterIndex8_0
7_var_snapshot: 2 − 5⋅Inner14_0
7*: 4 − 5⋅Inner14_0
8_var_snapshot: −5⋅Inner14_0
8*: −5⋅Inner14_0
10_var_snapshot: −5⋅Inner14_0OuterIndex8_0
10*: 1 − 5⋅Inner14_0

18.1.3 Transition Removal

We remove transition 4 using the following ranking functions, which are bounded by −59.

6: −1 − 3⋅Index15_0
7: 38 − 6⋅Index15_0
8: −3⋅Index15_0
9: 1 − 6⋅Index15_0
10: −6⋅Index15_0OuterIndex8_0
11: −6⋅Index15_0OuterIndex5_0 − 2⋅OuterIndex8_0
7_var_snapshot: 18 − 6⋅Index15_0
7*: 58 − 6⋅Index15_0
8_var_snapshot: −3⋅Index15_0
8*: 1 − 3⋅Index15_0
10_var_snapshot: −6⋅Index15_0 − 2⋅OuterIndex8_0
10*: −6⋅Index15_0

18.1.4 Transition Removal

We remove transitions 45, 47, 52, 54, 59, 61, 3, 5, 10, 15, 16 using the following ranking functions, which are bounded by −81.

6: −20 + 4⋅OuterIndex8_0
7: −60 + 4⋅OuterIndex8_0
8: OuterIndex5_0 + 4⋅OuterIndex8_0
9: −20
10: −60
11: −5⋅OuterIndex5_0
7_var_snapshot: 0
7*: −40 + 4⋅OuterIndex8_0
8_var_snapshot: 4⋅OuterIndex8_0
8*: 2⋅OuterIndex5_0 + 4⋅OuterIndex8_0
10_var_snapshot: −80
10*: −40

18.1.5 Splitting Cut-Point Transitions

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

18.1.5.1 Cut-Point Subproblem 1/3

Here we consider cut-point transition 44.

18.1.5.1.1 Splitting Cut-Point Transitions

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

18.1.5.2 Cut-Point Subproblem 2/3

Here we consider cut-point transition 51.

18.1.5.2.1 Splitting Cut-Point Transitions

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

18.1.5.3 Cut-Point Subproblem 3/3

Here we consider cut-point transition 58.

18.1.5.3.1 Splitting Cut-Point Transitions

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

18.2 SCC Subproblem 2/3

Here we consider the SCC { 4, 5, 13, 14, 4_var_snapshot, 4*, 13_var_snapshot, 13* }.

18.2.1 Transition Removal

We remove transition 14 using the following ranking functions, which are bounded by −149.

4: 6 − 8⋅OuterIndex8_0
5: 4 − 8⋅OuterIndex8_0
13: −8⋅OuterIndex8_0
14: −8⋅OuterIndex8_0
4_var_snapshot: 5 − 8⋅OuterIndex8_0
4*: 7 − 8⋅OuterIndex8_0
13_var_snapshot: −8⋅OuterIndex8_0
13*: −8⋅OuterIndex8_0

18.2.2 Transition Removal

We remove transition 12 using the following ranking functions, which are bounded by −77.

4: −4⋅InnerIndex9_0 − 2⋅OuterIndex5_0
5: −1 − 4⋅InnerIndex9_0 − 2⋅OuterIndex5_0
13: 2 − 4⋅InnerIndex9_0
14: −4⋅InnerIndex9_0
4_var_snapshot: −1 − 4⋅InnerIndex9_0 − 2⋅OuterIndex5_0
4*: −4⋅InnerIndex9_0OuterIndex5_0
13_var_snapshot: 1 − 4⋅InnerIndex9_0
13*: 3 − 4⋅InnerIndex9_0

18.2.3 Transition Removal

We remove transitions 38, 40, 66, 68, 2, 9, 11 using the following ranking functions, which are bounded by −4.

4: −2
5: −4
13: 2⋅OuterIndex5_0
14: 0
4_var_snapshot: −3
4*: −1
13_var_snapshot: 20
13*: 1 + 2⋅OuterIndex5_0

18.2.4 Splitting Cut-Point Transitions

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

18.2.4.1 Cut-Point Subproblem 1/2

Here we consider cut-point transition 37.

18.2.4.1.1 Splitting Cut-Point Transitions

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

18.2.4.2 Cut-Point Subproblem 2/2

Here we consider cut-point transition 65.

18.2.4.2.1 Splitting Cut-Point Transitions

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

18.3 SCC Subproblem 3/3

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

18.3.1 Transition Removal

We remove transition 20 using the following ranking functions, which are bounded by −77.

0: 1 − 4⋅OuterIndex5_0
1: −4⋅OuterIndex5_0
2: −1 − 4⋅OuterIndex5_0
3: −1 − 4⋅OuterIndex5_0
0_var_snapshot: −4⋅OuterIndex5_0
0*: 2 − 4⋅OuterIndex5_0
2_var_snapshot: −1 − 4⋅OuterIndex5_0
2*: −1 − 4⋅OuterIndex5_0

18.3.2 Transition Removal

We remove transition 18 using the following ranking functions, which are bounded by −77.

0: −2 − 4⋅InnerIndex6_0
1: −4 − 4⋅InnerIndex6_0
2: 2 − 4⋅InnerIndex6_0
3: −4⋅InnerIndex6_0
0_var_snapshot: −3 − 4⋅InnerIndex6_0
0*: −1 − 4⋅InnerIndex6_0
2_var_snapshot: 1 − 4⋅InnerIndex6_0
2*: 3 − 4⋅InnerIndex6_0

18.3.3 Transition Removal

We remove transitions 24, 26, 31, 33, 0, 1, 17 using the following ranking functions, which are bounded by −3.

0: −1
1: −3
2: 3
3: 1
0_var_snapshot: −2
0*: 0
2_var_snapshot: 2
2*: 4

18.3.4 Splitting Cut-Point Transitions

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

18.3.4.1 Cut-Point Subproblem 1/2

Here we consider cut-point transition 23.

18.3.4.1.1 Splitting Cut-Point Transitions

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

18.3.4.2 Cut-Point Subproblem 2/2

Here we consider cut-point transition 30.

18.3.4.2.1 Splitting Cut-Point Transitions

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

Tool configuration

T2Cert