Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121684378151000.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:
-0.01*x + -0.1*y + 0.57*x^2 + 1.0*x*y + 0.9*y^2 <= 0.02
and
x in [-0.4,0.2]
y in [-0.2,0.4]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1919 |
| Compressed Size | 922 |
| 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 | 1911 |
| Compressed Size | 940 |
| Max. Term Depth | 17 |
| 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 | 8 |
/ | 20 |
+ | 12 |
- | 10 |
* | 21 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1201.28000
|
1200.06000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.04000
|
1199.89000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02311
|
0.00609
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.12000
|
1203.64000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.05000
|
4645.47000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.07408
|
0.07412
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02423
|
0.02433
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.04115
|
0.04113
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30439
|
0.18664
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41506
|
0.40685
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.60687
|
0.48744
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29139
|
0.17319
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.63922
|
0.56504
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.29795
|
0.17884
|
| |
|
z3siri-base |
sat ✅
|
0.32994
|
0.20005
|