Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121861773920000.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 + -0.32*x2 + 0.86*x1^2 + 0.19*x1*x2 + 0.66*x2^2 <= 0.45
and
x1 in [-0.4,1.4]
x2 in [-0.9,1.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1929 |
| 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 | 1921 |
| 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 2021
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
31.78110
|
31.68250
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.02000
|
1200.00000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01854
|
0.00622
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.08000
|
1203.64000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.03000
|
4640.56000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.07085
|
0.07089
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02058
|
0.02066
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03579
|
0.03565
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22184
|
0.12225
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40212
|
0.41654
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28027
|
0.18064
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.24079
|
0.14076
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26714
|
0.16758
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29582
|
0.17084
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42499
|
0.41984
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.30140
|
0.17498
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25704
|
0.14051
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.56253
|
0.45502
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31155
|
0.18724
|
| |
|
z3siri-base |
sat ✅
|
0.28052
|
0.16094
|