Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122164112038000.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 + 0.21*v + 0.89*u^2 + -0.11*u*v + 0.06*v^2 <= 1.25
and
u in [-0.6,1.9]
v in [-6.3,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1945 |
| Compressed Size | 936 |
| 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 | 1937 |
| Compressed Size | 934 |
| Max. Term Depth | 18 |
| 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 |
/ | 20 |
+ | 10 |
- | 10 |
* | 20 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.28696
|
0.16488
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45661
|
0.43760
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28515
|
0.16581
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29867
|
0.16928
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59866
|
0.48369
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28040
|
0.16212
|
| |
|
z3siri-base |
sat ✅
|
0.30403
|
0.17675
|