Why3 Proof Results for Project "dag3"

Theory "dag3.TestAcyclicGraph": fully verified in 0.00 s

ObligationsAlt-Ergo (2.1.0)CVC4 (1.5)Eprover (1.9)Spass (3.5)Z3 (4.6.2)
paths_in---------------
induction_pr
  paths_in.10.010.030.010.040.03
paths_in.20.010.050.030.06Timeout (15s)
2. VC for dfs1---------------
split_goal_wp
  1. index in array bounds0.010.060.040.050.03
2. loop invariant init0.010.050.020.040.03
3. loop invariant init0.010.050.020.050.03
4. loop invariant init---------------
split_goal_wp
  1. VC for dfs10.090.27Timeout (15s)Timeout (15s)Timeout (15s)
2. VC for dfs10.016.03Timeout (15s)Timeout (15s)Timeout (15s)
3. VC for dfs10.010.050.020.040.03
4. VC for dfs10.010.060.030.400.03
5. loop invariant init---------------
introduce_premises
  1. loop invariant init---------------
inline_goal
  1. loop invariant init---------------
introduce_premises
  1. loop invariant init---------------
inline_goal
  1. loop invariant initTimeout (15s)15.040.429.49Timeout (15s)
6. loop invariant init0.010.070.040.070.03
7. loop invariant init0.010.090.139.330.03
8. type invariant0.010.030.020.050.02
9. index in array boundsTimeout (15s)14.410.255.01Timeout (15s)
10. assertion0.030.26Timeout (15s)Timeout (15s)0.05
11. exceptional postcondition---------------
introduce_premises
  1. exceptional postcondition---------------
inline_goal
  1. exceptional postconditionTimeout (15s)28.838.452.01Timeout (15s)
12. index in array bounds0.010.050.020.050.03
13. precondition0.010.070.030.070.03
14. precondition0.010.030.020.060.03
15. precondition0.010.050.020.060.03
16. precondition---------------
introduce_premises
  1. precondition---------------
inline_goal
  1. precondition---------------
introduce_premises
  1. precondition---------------
inline_goal
  1. preconditionTimeout (15s)13.950.052.01Timeout (15s)
17. precondition0.010.060.020.050.03
18. loop invariant preservationTimeout (15s)0.512.349.310.06
19. loop invariant preservationTimeout (15s)0.190.140.150.04
20. loop invariant preservation0.010.060.050.090.03
21. loop invariant preservationTimeout (15s)0.190.060.210.09
22. loop invariant preservation0.060.16Timeout (15s)Timeout (15s)0.04
23. loop invariant preservation0.010.060.020.050.03
24. exceptional postcondition0.010.060.020.050.03
25. loop invariant preservationTimeout (15s)0.301.855.910.05
26. loop invariant preservationTimeout (15s)0.150.140.140.04
27. loop invariant preservation0.010.060.020.070.03
28. loop invariant preservationTimeout (15s)0.140.060.180.05
29. loop invariant preservation0.050.29Timeout (15s)Timeout (15s)Timeout (15s)
30. loop invariant preservation0.010.060.020.050.03
31. type invariant0.010.040.020.050.02
32. index in array bounds0.010.060.020.050.03
33. assertion0.140.31Timeout (15s)Timeout (15s)0.07
34. postcondition0.010.060.030.070.03
35. postcondition---------------
split_goal_wp
  1. VC for dfs10.351.69Timeout (15s)Timeout (15s)Timeout (15s)
2. VC for dfs10.361.98Timeout (15s)Timeout (15s)Timeout (15s)
3. VC for dfs10.020.100.094.960.03
4. VC for dfs10.070.10Timeout (15s)Timeout (15s)Timeout (15s)
36. postcondition11.7112.19Timeout (15s)Timeout (15s)Timeout (15s)
3. VC for is_acyclic---------------
split_goal_wp
  1. array creation size0.010.050.010.030.03
2. assertion0.010.06Timeout (15s)Timeout (15s)0.03
3. assertion0.020.060.170.050.11
4. postcondition0.020.070.170.050.03
5. loop invariant init0.010.03Timeout (15s)Timeout (15s)0.02
6. loop invariant init0.020.29Timeout (15s)Timeout (15s)Timeout (15s)
7. loop invariant initTimeout (15s)0.140.07Timeout (15s)0.04
8. type invariant0.010.030.010.040.02
9. index in array bounds0.010.050.916.460.03
10. precondition0.010.060.030.060.03
11. precondition0.010.030.010.050.03
12. precondition0.010.050.020.050.03
13. precondition0.010.060.040.060.03
14. precondition0.010.050.020.040.03
15. loop invariant preservation0.010.99Timeout (15s)Timeout (15s)Timeout (15s)
16. loop invariant preservation0.010.050.040.070.03
17. loop invariant preservation0.010.050.020.040.03
18. postcondition0.010.060.020.050.03
19. loop invariant preservation0.010.11Timeout (15s)Timeout (15s)Timeout (15s)
20. loop invariant preservation0.010.050.020.050.03
21. loop invariant preservation0.010.050.020.040.03
22. assertion0.010.13Timeout (15s)Timeout (15s)0.87
23. assertion0.3829.35Timeout (15s)Timeout (15s)Timeout (15s)
24. postcondition0.010.060.020.040.03