Benchmark
non-incremental/FP/20200911-Pine/1599120907521986000.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:
x' := x + 0.01 * (-2*x - 3*y + x*x)
y' := y + 0.01 * (x + y)
Input ranges:
x in [0.0,0.1]
y in [0.0,0.1]
Invariant:
-0.02*x + -0.16*y + 0.55*x^2 + 0.84*x*y + 1.0*y^2 <= 0.02
and
x in [-0.3,0.1]
y in [-0.1,0.3]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 4219 |
| Compressed Size | 1241 |
| 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 | 4211 |
| Compressed Size | 1265 |
| Max. Term Depth | 33 |
| 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 | 29 |
fp | 24 |
fp.add | 12 |
fp.sub | 1 |
fp.mul | 21 |
fp.neg | 1 |
fp.leq | 10 |
fp.eq | 2 |
roundNearestTiesToEven | 34 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.33 (2/3) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
154.77300
|
154.76400
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
7.13328
|
8.53607
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
418.47100
|
418.42300
|
| |
|
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unknown ❌
|
620.59800
|
620.51300
|
|
SMT-COMP 2023
|
0.33 (2/3) |
Bitwuzla |
Bitwuzla-fixed_default |
sat ✅
|
126.42600
|
126.40500
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
50.94270
|
50.93270
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
6.80563
|
4.36538
|
|
SMT-COMP 2025
|
0.33 (2/3) |
Bitwuzla |
Bitwuzla |
sat ✅
|
107.75560
|
107.60279
|
| |
cvc5 |
cvc5 |
sat ✅
|
43.00289
|
42.87358
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.75280
|
1205.66154
|