Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122164712733000.smt2
These benchmarks were generated while developing the tool Pine [1], which uses
CVC4/Z3 to check inductiveness of invariants. The work is described in [2].
[1] https://github.com/izycheva/pine
[2] A.Izycheva, E.Darulova, H.Seidl, SAS'20, "Counterexample- and Simulation-Guided Floating-Point Loop Invariant Synthesis"
Loop:
u' := u + 0.01 * v
v' := v + 0.01 * (-0.5 * v - 9.81 * u)
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
Invariant:
-1.0*u + 0.24*v + 0.89*u^2 + -0.12*u*v + 0.07*v^2 <= 1.44
and
u in [-0.7,2.0]
v in [-6.3,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1883 |
| Compressed Size | 930 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2021-07-18 |
| Generated By | Anastasiia Izycheva, Eva Darulova |
| Generated On | 2020-09-11 00:00:00 |
| Generator | Pine (using Z3 Python API) |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | unknown |
| Inferred Status | sat |
| Size | 1875 |
| Compressed Size | 934 |
| Max. Term Depth | 16 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1 |
and | 6 |
= | 2 |
let | 7 |
/ | 18 |
+ | 10 |
- | 10 |
* | 20 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.50 (5/10) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
5.96353
|
5.96348
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
300.32000
|
300.29400
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01713
|
0.00625
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.06000
|
1203.76000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.04000
|
4677.39000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.04311
|
0.04317
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.01838
|
0.01847
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03497
|
0.03499
|
|
SMT-COMP 2022
|
|
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.06947
|
0.07054
|
| |
MathSAT |
MathSAT-5.6.8_default |
sat ✅
|
4.56936
|
4.56895
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.05403
|
0.05410
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02347
|
0.00629
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01309
|
0.01306
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.07154
|
0.07162
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01844
|
0.01841
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02660
|
0.02844
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28902
|
0.28906
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02870
|
0.02920
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.05525
|
0.05533
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02668
|
0.00682
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03332
|
0.03330
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.02356
|
0.02336
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02432
|
0.02455
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29184
|
0.29189
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29781
|
0.29791
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.26152
|
0.14365
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44551
|
0.43131
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.26108
|
0.13882
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.35791
|
0.23242
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59661
|
0.47657
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31740
|
0.18893
|
| |
|
z3siri-base |
sat ✅
|
0.29683
|
0.17184
|