Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121886379408000.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 * (-x + 2*x*x + y*y)
y' := y + 0.01 * (-y + y*y)
Input ranges:
x in [-0.4,0.3]
y in [-0.4,0.3]
Invariant:
0.1*x + 0.09*y + 1.0*x^2 + -0.01*x*y + 0.96*y^2 <= 0.24
and
x in [-0.4,0.3]
y in [-0.4,0.3]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1978 |
| Compressed Size | 923 |
| 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 | 1970 |
| Compressed Size | 934 |
| Max. Term Depth | 18 |
| 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 | 10 |
/ | 20 |
+ | 13 |
- | 8 |
* | 22 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.08000
|
1199.90000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.02000
|
1199.92000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02511
|
0.00896
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.02000
|
1203.62000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.07000
|
4634.94000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.05259
|
0.05262
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02359
|
0.02352
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03969
|
0.03972
|
|
SMT-COMP 2022
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unknown ❌
|
1200.02000
|
1199.26000
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.07000
|
1200.04000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.08258
|
0.08264
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02418
|
0.00639
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.06387
|
0.06384
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.05240
|
0.03103
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02582
|
0.02579
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02388
|
0.02581
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29445
|
0.29455
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.27707
|
0.17786
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43350
|
0.46184
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23546
|
0.13554
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.23976
|
0.13981
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27066
|
0.17106
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.33304
|
0.20987
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43423
|
0.42016
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.30742
|
0.17948
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.31369
|
0.19261
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58760
|
0.47755
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.30385
|
0.18191
|
| |
|
z3siri-base |
sat ✅
|
0.30487
|
0.17844
|