Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121906000858000.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:
-0.16*u + 1.0*u^2 + 0.04*u*v + 0.11*v^2 <= 1.43
and
u in [-1.2,1.3]
v in [-3.6,3.5]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1973 |
| Compressed Size | 960 |
| 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 | 1965 |
| Compressed Size | 969 |
| 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 ✅
|
0.06588
|
0.06630
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.91000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1170.40000
|
1170.00000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03419
|
0.00727
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03915
|
0.03898
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
0.01282
|
0.00800
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.06765
|
0.06761
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01982
|
0.02169
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.32302
|
0.32303
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.04256
|
0.04310
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
191.75100
|
191.70700
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02160
|
0.00646
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.31721
|
0.31718
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.05961
|
0.05958
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02917
|
0.02942
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.32834
|
0.32838
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.33631
|
0.33642
|