Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122158826418000.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:
-0.55*u + 1.0*u^2 + -0.01*u*v + 0.03*v^2 <= 0.3
and
u in [-0.1,0.9]
v in [-3.1,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1834 |
| Compressed Size | 900 |
| 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 | 1826 |
| Compressed Size | 913 |
| Max. Term Depth | 14 |
| 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 |
+ | 8 |
- | 10 |
* | 18 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.50 (5/10) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
0.03201
|
0.03233
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
0.03452
|
0.03508
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01844
|
0.00776
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.02000
|
1203.79000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.05000
|
4636.40000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.04697
|
0.04698
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.01896
|
0.01907
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03456
|
0.03460
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.04965
|
0.05015
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.08000
|
1199.92000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.04938
|
0.04942
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02827
|
0.00715
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01713
|
0.01710
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.22296
|
0.22434
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02161
|
0.02158
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01915
|
0.02104
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.27799
|
0.27805
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02350
|
0.02406
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.03995
|
0.04001
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01748
|
0.00654
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02488
|
0.02486
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.02015
|
0.02013
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02338
|
0.02361
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28002
|
0.28011
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.28718
|
0.28727
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22156
|
0.12206
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42135
|
0.43517
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.21798
|
0.11822
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22187
|
0.12212
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.29310
|
0.19369
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30714
|
0.17427
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44157
|
0.41752
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29651
|
0.16801
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29376
|
0.16647
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.61156
|
0.48638
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.30895
|
0.18542
|
| |
|
z3siri-base |
sat ✅
|
0.30308
|
0.17357
|