Benchmark
non-incremental/FP/20200911-Pine/1599121977502656000.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:
-0.02*u + 0.02*v + 1.0*u^2 + 0.09*v^2 <= 0.89
and
u in [-1.0,1.0]
v in [-3.3,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 3658 |
| Compressed Size | 1163 |
| 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 | 3650 |
| Compressed Size | 1175 |
| Max. Term Depth | 27 |
| 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 | 23 |
fp | 22 |
fp.add | 8 |
fp.sub | 1 |
fp.mul | 16 |
fp.neg | 1 |
fp.leq | 10 |
fp.eq | 2 |
roundNearestTiesToEven | 25 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.33 (2/3) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
718.59700
|
718.52500
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
7.19962
|
4.27327
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
139.79200
|
139.73600
|
| |
|
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unknown ❌
|
286.22700
|
286.15300
|
|
SMT-COMP 2023
|
0.33 (2/3) |
Bitwuzla |
Bitwuzla-fixed_default |
sat ✅
|
85.38830
|
85.37720
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
13.69550
|
13.69090
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
6.77372
|
4.23130
|
|
SMT-COMP 2024
|
|
Bitwuzla |
Bitwuzla |
sat ✅
|
23.34972
|
23.24912
|
| |
cvc5 |
cvc5 |
sat ✅
|
8.66406
|
8.56462
|
|
SMT-COMP 2025
|
|
Bitwuzla |
Bitwuzla |
sat ✅
|
34.49409
|
34.35690
|
| |
cvc5 |
cvc5 |
sat ✅
|
6.15409
|
6.02534
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
sat ✅
|
295.33781
|
298.33797
|