Benchmark
non-incremental/FP/20200911-Pine/1599121684294608000.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 + -0.13*y + 0.54*x^2 + 0.85*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 | 4221 |
| Compressed Size | 1242 |
| 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 | 4213 |
| Compressed Size | 1270 |
| 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 2022
|
0.25 (3/4) |
Bitwuzla |
Bitwuzla-wrapped_default |
sat ✅
|
79.53210
|
79.52650
|
| |
cvc5 |
cvc5_default |
sat ✅
|
57.59560
|
57.59500
|
| |
|
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
47.49370
|
47.48810
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.7-wrapped_default |
unknown ❌
|
6.80913
|
4.35314
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
585.76900
|
585.63000
|
|
SMT-COMP 2025
|
0.33 (2/3) |
Bitwuzla |
Bitwuzla |
sat ✅
|
39.43246
|
39.29547
|
| |
cvc5 |
cvc5 |
sat ✅
|
35.15983
|
35.02401
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.76868
|
1205.76311
|