Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121900087311000.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 - (u*u*u)/6.0 + (u*u*u*u*u)/120.0))
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
Invariant:
-0.2*u + -0.04*v + 1.0*u^2 + 0.03*u*v + 0.1*v^2 <= 0.82
and
u in [-0.8,1.0]
v in [-2.7,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1992 |
| Compressed Size | 963 |
| 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 | 1984 |
| Compressed Size | 972 |
| Max. Term Depth | 16 |
| 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 |
/ | 20 |
+ | 11 |
- | 11 |
* | 26 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.50 (5/10) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
630.19300
|
630.11700
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
0.26395
|
0.26448
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01878
|
0.00777
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.02000
|
1203.76000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.03000
|
4673.81000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.07899
|
0.07901
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.01949
|
0.01956
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03494
|
0.03499
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.31507
|
0.18595
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47081
|
0.45767
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.31763
|
0.18955
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.30175
|
0.17436
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60346
|
0.48405
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28586
|
0.16772
|
| |
|
z3siri-base |
sat ✅
|
0.30419
|
0.17527
|