Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121977409531000.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:
-0.03*u + 0.02*v + 1.0*u^2 + 0.09*v^2 <= 0.89
and
u in [-1.0,1.0]
v in [-3.2,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1806 |
| Compressed Size | 897 |
| 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 | 1798 |
| Compressed Size | 910 |
| Max. Term Depth | 15 |
| 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 |
/ | 14 |
+ | 8 |
- | 8 |
* | 16 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.60 (4/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
35.44970
|
35.45110
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
1.00927
|
1.00985
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.05334
|
0.00615
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.04000
|
1203.71000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.04000
|
4650.30000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.04447
|
0.04450
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02805
|
0.02814
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.04393
|
0.04394
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.04281
|
0.04337
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.94000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.13815
|
0.13821
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04318
|
0.00784
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01621
|
0.01621
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.02536
|
0.02523
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01935
|
0.01929
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02126
|
0.02307
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28661
|
0.28668
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23040
|
0.13053
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41805
|
0.43549
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25179
|
0.15132
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22382
|
0.12400
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.29438
|
0.19452
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.28816
|
0.16734
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42669
|
0.40575
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.27399
|
0.15057
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.32227
|
0.19417
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.56636
|
0.45536
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.30604
|
0.18350
|
| |
|
z3siri-base |
sat ✅
|
0.29187
|
0.17248
|