Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122162914439000.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:
u' := u + 0.01 * v
v' := v + 0.01 * (-0.5 * v - 9.81 * u)
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
Invariant:
-1.0*u + 0.21*v + 0.95*u^2 + -0.13*u*v + 0.07*v^2 <= 1.38
and
u in [-0.6,1.9]
v in [-6.0,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1906 |
| Compressed Size | 929 |
| 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 | 1898 |
| Compressed Size | 930 |
| 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 |
/ | 18 |
+ | 10 |
- | 10 |
* | 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 ✅
|
20.91760
|
20.91230
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
239.81300
|
239.67800
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01771
|
0.00721
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.03000
|
1203.82000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.03000
|
4634.25000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.04209
|
0.04209
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.01903
|
0.01914
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03528
|
0.03530
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.31056
|
0.17488
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47644
|
0.44582
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29371
|
0.17178
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28684
|
0.16852
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.63912
|
0.52458
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32752
|
0.18763
|
| |
|
z3siri-base |
sat ✅
|
0.28237
|
0.16512
|