Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122165825193000.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 + 0.25*v + 0.86*u^2 + -0.11*u*v + 0.07*v^2 <= 1.44
and
u in [-0.7,2.0]
v in [-6.3,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1906 |
| Compressed Size | 933 |
| 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 | 936 |
| 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 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.06982
|
0.07037
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.05000
|
1200.08000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.05678
|
0.05126
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.05067
|
0.00707
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03146
|
0.02260
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.06603
|
0.06612
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01843
|
0.01841
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02804
|
0.02997
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29001
|
0.29007
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22314
|
0.12339
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44762
|
0.47104
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.24311
|
0.14353
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22106
|
0.12141
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27686
|
0.17729
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.28152
|
0.15282
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43088
|
0.42420
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29380
|
0.16691
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29871
|
0.17016
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59180
|
0.47566
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27548
|
0.15695
|
| |
|
z3siri-base |
sat ✅
|
0.30391
|
0.17377
|