Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121861496816000.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 + -0.33*x2 + 0.85*x1^2 + 0.18*x1*x2 + 0.73*x2^2 <= 0.44
and
x1 in [-0.4,1.4]
x2 in [-0.8,1.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1933 |
| Compressed Size | 917 |
| 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 | 1925 |
| Compressed Size | 929 |
| 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 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.06219
|
0.06259
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.01000
|
1199.90000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.05319
|
0.05325
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02026
|
0.00634
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.10849
|
0.10847
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.21732
|
0.21927
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02545
|
0.02014
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02309
|
0.02497
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28599
|
0.28606
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.25079
|
0.15085
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41613
|
0.42901
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23638
|
0.13665
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22922
|
0.12943
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27071
|
0.17082
|