Benchmark
non-incremental/FP/20200911-Pine/1599121902708585000.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:
-0.15*u + -0.02*v + 1.0*u^2 + 0.04*u*v + 0.1*v^2 <= 1.11
and
u in [-1.0,1.2]
v in [-3.2,3.3]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 4553 |
| Compressed Size | 1296 |
| 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 | 4545 |
| Compressed Size | 1335 |
| 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 ✅
|
13.00600
|
13.00560
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
7.12169
|
4.30382
|
| |
Z3 |
z3-4.8.11_default |
unknown ❌
|
1200.04000
|
1199.99000
|
| |
|
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unknown ❌
|
1200.02000
|
1199.90000
|
|
SMT-COMP 2022
|
0.50 (2/4) |
Bitwuzla |
Bitwuzla-wrapped_default |
sat ✅
|
281.06200
|
281.02400
|
| |
cvc5 |
cvc5_default |
sat ✅
|
482.31500
|
481.03200
|
| |
|
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
827.24100
|
823.18400
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.7-wrapped_default |
unknown ❌
|
6.81198
|
4.28570
|
| |
Z3 |
z3-4.8.17_default |
unknown ❌
|
1200.01000
|
1199.78000
|
|
SMT-COMP 2023
|
0.33 (2/3) |
Bitwuzla |
Bitwuzla-fixed_default |
sat ✅
|
205.12500
|
205.10900
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
869.37800
|
861.32600
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
6.80818
|
4.27398
|
|
SMT-COMP 2025
|
0.67 (1/3) |
Bitwuzla |
Bitwuzla |
sat ✅
|
87.61062
|
87.46580
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.78919
|
1201.01988
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.75183
|
1205.67343
|