Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121906174154000.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 + 1.0*u^2 + 0.03*u*v + 0.12*v^2 <= 1.48
and
u in [-1.2,1.3]
v in [-3.6,3.5]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1967 |
| Compressed Size | 958 |
| 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 | 1959 |
| Compressed Size | 967 |
| 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 |
/ | 22 |
+ | 9 |
- | 9 |
* | 24 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.33 (6/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
600.51400
|
600.35600
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.99000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1170.16000
|
1169.88000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.11886
|
0.00694
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.49240
|
0.49234
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
0.01148
|
0.00785
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
2.77114
|
2.77107
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.10009
|
0.10199
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.37149
|
0.37024
|
|
SMT-COMP 2023
|
0.29 (5/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.11000
|
1199.95000
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1170.05000
|
1169.90000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.13018
|
0.00651
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
225.57500
|
225.54800
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
2.72057
|
2.72067
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.13632
|
0.13647
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.36022
|
0.35925
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.36017
|
0.36021
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
9.61212
|
9.51166
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41989
|
0.44974
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
1.00510
|
0.90518
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.26445
|
0.16411
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
4.03865
|
3.93569
|