Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121901979464000.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 + -0.03*v + 1.0*u^2 + 0.04*u*v + 0.11*v^2 <= 1.08
and
u in [-1.0,1.2]
v in [-3.1,3.2]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2016 |
| Compressed Size | 973 |
| 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 | 2008 |
| Compressed Size | 988 |
| Max. Term Depth | 16 |
| 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 |
+ | 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 ❌
|
1200.03000
|
1199.56000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.06000
|
1200.04000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.16784
|
0.00647
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.11000
|
1203.54000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.03000
|
4650.46000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.20803
|
0.20809
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.15095
|
0.15103
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.16427
|
0.16419
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
900.41800
|
900.24500
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.38712
|
0.38705
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.07968
|
0.00643
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.78453
|
0.78441
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.05615
|
0.05608
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.16711
|
0.16728
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.44809
|
0.44815
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.45264
|
0.45273
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
900.28957
|
900.18256
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42016
|
0.44186
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.55379
|
0.45373
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.30153
|
0.20141
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
1.97662
|
1.87701
|