Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121886550120000.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 * (-x + 2*x*x + y*y)
y' := y + 0.01 * (-y + y*y)
Input ranges:
x in [-0.4,0.3]
y in [-0.4,0.3]
Invariant:
0.1*x + 0.1*y + 0.98*x^2 + 0.01*x*y + 1.0*y^2 <= 0.24
and
x in [-0.4,0.4]
y in [-0.4,0.3]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2004 |
| Compressed Size | 933 |
| 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 | 1996 |
| Compressed Size | 946 |
| Max. Term Depth | 21 |
| 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 | 12 |
/ | 20 |
+ | 13 |
- | 6 |
* | 22 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.60 (4/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.06000
|
1199.85000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.03000
|
1199.84000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03094
|
0.00621
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.10000
|
1203.78000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
0.21582
|
0.11277
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.11698
|
0.11704
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.02967
|
0.02975
|
| |
|
z3-4.8.8_default |
unsat ✅
|
0.04483
|
0.04486
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.30605
|
0.20630
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41024
|
0.43031
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.27016
|
0.16978
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.27333
|
0.17297
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.29298
|
0.19244
|