Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122163190413000.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 + 0.22*v + 0.95*u^2 + -0.11*u*v + 0.07*v^2 <= 1.38
and
u in [-0.6,1.9]
v in [-6.2,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1924 |
| Compressed Size | 934 |
| 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 | 1916 |
| Compressed Size | 939 |
| 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 | 8 |
/ | 20 |
+ | 10 |
- | 10 |
* | 20 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.06311
|
0.06373
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.86000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.33465
|
0.33468
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02056
|
0.00685
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03698
|
0.03696
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.06790
|
0.06800
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01979
|
0.01974
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01980
|
0.02168
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28905
|
0.28914
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.03058
|
0.03056
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.05586
|
0.05593
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01869
|
0.00652
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02033
|
0.02029
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01785
|
0.01779
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02883
|
0.02900
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28327
|
0.28334
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29104
|
0.29115
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.25096
|
0.15109
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46083
|
0.46997
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.24232
|
0.14261
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.24817
|
0.14789
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27010
|
0.17039
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.27449
|
0.15708
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43161
|
0.42002
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28014
|
0.15324
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.30507
|
0.17134
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60227
|
0.48342
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.29075
|
0.17295
|
| |
|
z3siri-base |
sat ✅
|
0.27975
|
0.16137
|