Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121862442984000.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:
x1' := x1 + 0.01 * x2
x2' := -0.01 * x1 + 0.99 * x2
Input ranges:
x1 in [0.0,1.0]
x2 in [0.0,1.0]
Invariant:
-1.0*x1 + -0.29*x2 + 0.88*x1^2 + 0.17*x1*x2 + 0.79*x2^2 <= 0.61
and
x1 in [-0.5,1.5]
x2 in [-0.9,1.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1939 |
| Compressed Size | 908 |
| 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 | 1931 |
| Compressed Size | 921 |
| 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 |
/ | 19 |
+ | 10 |
- | 9 |
* | 19 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.60 (4/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
37.39540
|
37.38320
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
332.99100
|
332.95600
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02314
|
0.00995
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.03000
|
1203.57000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.02000
|
4656.43000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.06921
|
0.06922
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02217
|
0.02227
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03686
|
0.03689
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23711
|
0.13749
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43027
|
0.44728
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.27091
|
0.17129
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.24594
|
0.14625
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.29878
|
0.19830
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.32603
|
0.19808
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45125
|
0.43707
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.30079
|
0.18351
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.30209
|
0.18601
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60843
|
0.48956
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27759
|
0.15916
|
| |
|
z3siri-base |
sat ✅
|
0.26903
|
0.15611
|