Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121900178623000.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:
-0.19*u + -0.04*v + 1.0*u^2 + 0.03*u*v + 0.1*v^2 <= 0.83
and
u in [-0.8,1.0]
v in [-2.8,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2020 |
| Compressed Size | 976 |
| 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 | 2012 |
| Compressed Size | 985 |
| Max. Term Depth | 17 |
| 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 |
= | 2 |
let | 9 |
/ | 20 |
+ | 11 |
- | 11 |
* | 26 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.50 (5/10) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
630.25300
|
630.20200
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
0.25885
|
0.25934
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01700
|
0.00613
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.03000
|
1203.75000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.09000
|
4691.72000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.07771
|
0.07773
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02100
|
0.02106
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03534
|
0.03530
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23833
|
0.13889
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42268
|
0.44372
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23802
|
0.13823
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22454
|
0.12462
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26909
|
0.16990
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.31027
|
0.18173
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44240
|
0.43838
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.27221
|
0.15436
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.30919
|
0.18025
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60366
|
0.48707
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31409
|
0.18896
|
| |
|
z3siri-base |
sat ✅
|
0.29370
|
0.17130
|