Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122158622723000.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:
-0.6*u + -0.02*v + 1.0*u^2 + 0.02*u*v + 0.03*v^2 <= 0.23
and
u in [0.0,0.9]
v in [-2.5,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1878 |
| Compressed Size | 910 |
| 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 | 1870 |
| Compressed Size | 922 |
| 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 |
/ | 18 |
+ | 10 |
- | 8 |
* | 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 ✅
|
0.26007
|
0.26039
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
0.45538
|
0.45600
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02439
|
0.00617
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.06000
|
1203.60000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.02000
|
4643.92000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.06762
|
0.06713
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.01911
|
0.01915
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03454
|
0.03458
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.08300
|
0.08351
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.06000
|
1199.96000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.03481
|
0.03487
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03223
|
0.00711
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01764
|
0.01760
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.01844
|
0.01734
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02354
|
0.02347
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01942
|
0.02133
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28480
|
0.28485
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.26776
|
0.15196
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45100
|
0.44248
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28075
|
0.15856
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.27295
|
0.15461
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.55782
|
0.44988
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27537
|
0.15772
|
| |
|
z3siri-base |
sat ✅
|
0.29815
|
0.17170
|