Benchmark
non-incremental/FP/20200911-Pine/1599121899319109000.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:
-0.17*u + -0.05*v + 1.0*u^2 + 0.03*u*v + 0.09*v^2 <= 0.67
and
u in [-0.8,0.9]
v in [-2.5,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 4556 |
| Compressed Size | 1280 |
| 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 | 4548 |
| Compressed Size | 1298 |
| Max. Term Depth | 35 |
| 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 | 31 |
fp | 26 |
fp.add | 11 |
fp.sub | 2 |
fp.mul | 24 |
fp.div | 2 |
fp.neg | 1 |
fp.leq | 10 |
fp.eq | 2 |
roundNearestTiesToEven | 39 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.67 (1/3) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
521.79500
|
521.73000
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
7.10411
|
4.26570
|
| |
Z3 |
z3-4.8.11_default |
unknown ❌
|
1200.02000
|
1199.85000
|
| |
|
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unknown ❌
|
1200.11000
|
1199.95000
|
|
SMT-COMP 2023
|
0.33 (2/3) |
Bitwuzla |
Bitwuzla-fixed_default |
sat ✅
|
217.68100
|
217.67500
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
627.27700
|
621.36000
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
6.79638
|
4.33558
|
|
SMT-COMP 2024
|
0.50 (1/2) |
Bitwuzla |
Bitwuzla |
sat ✅
|
154.96893
|
154.86160
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.72165
|
1200.81635
|
|
SMT-COMP 2025
|
0.33 (2/3) |
Bitwuzla |
Bitwuzla |
sat ✅
|
48.10058
|
47.96136
|
| |
cvc5 |
cvc5 |
sat ✅
|
781.29265
|
781.05318
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.75201
|
1205.33341
|