Benchmark
non-incremental/FP/20200911-Pine/1599121977971569000.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:
0.01*u + 0.03*v + 1.0*u^2 + 0.02*u*v + 0.09*v^2 <= 0.97
and
u in [-1.0,1.0]
v in [-3.5,3.1]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 4044 |
| Compressed Size | 1215 |
| 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 | 4036 |
| Compressed Size | 1232 |
| Max. Term Depth | 31 |
| 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 |
let | 27 |
fp | 24 |
fp.add | 10 |
fp.sub | 1 |
fp.mul | 20 |
fp.neg | 1 |
fp.leq | 10 |
fp.eq | 2 |
roundNearestTiesToEven | 31 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.25 (3/4) |
Bitwuzla |
Bitwuzla-wrapped_default |
sat ✅
|
66.08410
|
66.08030
|
| |
cvc5 |
cvc5_default |
sat ✅
|
155.38100
|
155.36700
|
| |
|
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
208.89800
|
208.87700
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.7-wrapped_default |
unknown ❌
|
6.79282
|
4.29748
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
713.46000
|
713.28000
|
|
SMT-COMP 2023
|
0.33 (2/3) |
Bitwuzla |
Bitwuzla-fixed_default |
sat ✅
|
169.60100
|
169.55200
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
14.64880
|
14.64850
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
6.81777
|
4.36437
|
|
SMT-COMP 2024
|
|
Bitwuzla |
Bitwuzla |
sat ✅
|
105.57223
|
105.46613
|
| |
cvc5 |
cvc5 |
sat ✅
|
5.67978
|
5.57964
|
|
SMT-COMP 2025
|
|
Bitwuzla |
Bitwuzla |
sat ✅
|
56.83860
|
56.70079
|
| |
cvc5 |
cvc5 |
sat ✅
|
8.27289
|
8.15287
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
sat ✅
|
788.63641
|
792.33472
|