Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121684761355000.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 + -0.08*y + 0.45*x^2 + 1.0*x*y + 0.81*y^2 <= 0.02
and
x in [-0.5,0.3]
y in [-0.2,0.5]
Query: Loop and Invariant and not Invariant'
| Benchmark |
| Size | 1921 |
| Compressed Size | 922 |
| 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 | unsat |
| Size | 1913 |
| Compressed Size | 939 |
| 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 | 8 |
/ | 20 |
+ | 12 |
- | 10 |
* | 21 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.60 (4/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.02000
|
1199.84000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.07000
|
300.00900
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03182
|
0.00798
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.07000
|
1203.73000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
0.10646
|
0.10754
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.39537
|
0.39532
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.03333
|
0.03339
|
| |
|
z3-4.8.8_default |
unsat ✅
|
0.04879
|
0.04877
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
5.52233
|
5.51635
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
12.98390
|
12.97330
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02652
|
0.00649
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.52883
|
0.52882
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.21252
|
0.21230
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.03409
|
0.03427
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29107
|
0.29113
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.30305
|
0.30306
|