Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121901164798000.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 - (u*u*u)/6.0 + (u*u*u*u*u)/120.0))
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
Invariant:
-0.15*u + -0.02*v + 1.0*u^2 + 0.03*u*v + 0.1*v^2 <= 0.96
and
u in [-0.9,1.1]
v in [-3.0,3.1]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2038 |
| Compressed Size | 983 |
| 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 | 2030 |
| Compressed Size | 995 |
| 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 | 9 |
/ | 22 |
+ | 11 |
- | 11 |
* | 26 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.01000
|
1199.96000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.02000
|
1199.91000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04129
|
0.00635
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.02000
|
1203.86000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.05000
|
4646.32000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.13975
|
0.13977
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.04859
|
0.04866
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.06500
|
0.06504
|
|
SMT-COMP 2022
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.13311
|
0.13369
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.05000
|
1200.04000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.19439
|
0.19445
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.06532
|
0.00824
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.09255
|
0.09254
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
0.01189
|
0.00818
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.07396
|
0.07393
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.04868
|
0.05061
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.33812
|
0.33824
|
|
SMT-COMP 2023
|
0.14 (6/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.04953
|
0.04995
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1170.79000
|
1170.04000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04470
|
0.00752
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.54354
|
0.54352
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.03744
|
0.03723
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.05850
|
0.05870
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30918
|
0.30842
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.30412
|
0.30421
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.26278
|
0.16311
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42625
|
0.44634
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.24084
|
0.14119
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25418
|
0.15389
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.29563
|
0.19593
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.28963
|
0.17044
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45488
|
0.44735
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.48855
|
0.36825
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28787
|
0.17042
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.62130
|
0.51740
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.33122
|
0.20513
|
| |
|
z3siri-base |
sat ✅
|
0.31891
|
0.18971
|