Benchmark
non-incremental/QF_NRA/20200911-Pine/1599120908933292000.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:
x' := x + 0.01 * (-2*x - 3*y + x*x)
y' := y + 0.01 * (x + y)
Input ranges:
x in [0.0,0.1]
y in [0.0,0.1]
Invariant:
-0.03*x + -0.11*y + 0.46*x^2 + 1.0*x*y + 0.86*y^2 <= 0.02
and
x in [-0.5,0.3]
y in [-0.2,0.4]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2018 |
| Compressed Size | 927 |
| 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 | 2010 |
| Compressed Size | 938 |
| Max. Term Depth | 13 |
| Asserts | 8 |
| 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 | 1 |
= | 2 |
let | 11 |
/ | 23 |
+ | 4 |
- | 9 |
* | 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 ✅
|
0.17218
|
0.17247
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
0.04490
|
0.04546
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
2.92661
|
5.78000
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.02000
|
1203.66000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.10000
|
4644.41000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.15978
|
0.15982
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
2.89531
|
2.89515
|
| |
|
z3-4.8.8_default |
sat ✅
|
2.84156
|
2.84156
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02823
|
0.02872
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.11715
|
0.11721
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.07237
|
0.00629
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.19823
|
0.19822
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.06261
|
0.06256
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.03349
|
0.03372
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
3.17623
|
3.17599
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
3.18184
|
3.18202
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22735
|
0.12762
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44555
|
0.45634
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.40373
|
0.30369
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28517
|
0.18550
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
2.10574
|
2.00492
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
27.80557
|
27.66796
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46168
|
0.43279
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.31887
|
0.19429
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.40006
|
0.27053
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59150
|
0.48296
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
4.75743
|
4.64025
|
| |
|
z3siri-base |
sat ✅
|
5.28153
|
5.15128
|