Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122165750372000.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 + -0.12*u*v + 0.07*v^2 <= 1.46
and
u in [-0.7,2.0]
v in [-6.3,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1877 |
| 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 | 1869 |
| Compressed Size | 929 |
| 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 | 7 |
/ | 18 |
+ | 10 |
- | 10 |
* | 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 ✅
|
3.80937
|
3.80903
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
21.82970
|
21.82770
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02136
|
0.01050
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.09000
|
1203.72000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.10000
|
4653.86000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.04227
|
0.04230
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.01857
|
0.01870
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03495
|
0.03493
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.07102
|
0.07162
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.01000
|
1199.80000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.05588
|
0.05595
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02498
|
0.00715
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01327
|
0.01321
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.25357
|
0.24052
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01815
|
0.01812
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02196
|
0.02388
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28423
|
0.28429
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02848
|
0.02904
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.07381
|
0.07302
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02001
|
0.00639
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03354
|
0.03351
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01578
|
0.01571
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02468
|
0.02489
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28560
|
0.28567
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29415
|
0.29419
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22376
|
0.12413
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41685
|
0.43707
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25318
|
0.15340
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25011
|
0.15039
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27310
|
0.17340
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29762
|
0.17225
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42791
|
0.43149
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28303
|
0.16221
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.30249
|
0.17348
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59697
|
0.47900
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32151
|
0.19042
|
| |
|
z3siri-base |
sat ✅
|
0.27817
|
0.16137
|