Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121977963106000.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:
0.01*u + 0.03*v + 1.0*u^2 + 0.02*u*v + 0.09*v^2 <= 0.97
and
u in [-1.0,1.0]
v in [-3.5,3.1]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1915 |
| Compressed Size | 930 |
| 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 | 1907 |
| Compressed Size | 935 |
| 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 | 9 |
/ | 18 |
+ | 10 |
- | 6 |
* | 20 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.60 (4/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
51.66570
|
51.66310
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
302.67300
|
300.69600
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.06043
|
0.01280
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.04000
|
1203.63000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.03000
|
4669.96000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.04384
|
0.04379
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02781
|
0.02792
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.04299
|
0.04304
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22205
|
0.12243
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41725
|
0.43491
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.22450
|
0.12464
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.26344
|
0.16225
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26792
|
0.16833
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30570
|
0.17698
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42747
|
0.42575
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.27840
|
0.15919
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29613
|
0.16784
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59358
|
0.47642
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32048
|
0.19249
|
| |
|
z3siri-base |
sat ✅
|
0.30489
|
0.17641
|