Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121684561818000.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:
-0.01*x + -0.09*y + 0.48*x^2 + 1.0*x*y + 0.85*y^2 <= 0.02
and
x in [-0.5,0.2]
y in [-0.2,0.4]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1902 |
| Compressed Size | 920 |
| 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 | 1894 |
| Compressed Size | 931 |
| Max. Term Depth | 16 |
| 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 | 7 |
/ | 20 |
+ | 12 |
- | 10 |
* | 21 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.11000
|
1200.07000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.09000
|
1200.02000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.06027
|
0.00663
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.08000
|
1203.85000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.04000
|
4654.09000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.25112
|
0.25113
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.03239
|
0.03249
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.04725
|
0.04729
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.24435
|
0.24495
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.01000
|
1199.91000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
6.87983
|
6.87974
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.07174
|
0.00674
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.38581
|
0.38573
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.46199
|
0.46847
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.12795
|
0.12789
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.03191
|
0.03383
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29609
|
0.29616
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.64271
|
0.52177
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40657
|
0.39079
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29089
|
0.16846
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.35721
|
0.22807
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60515
|
0.48843
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31872
|
0.19154
|
| |
|
z3siri-base |
sat ✅
|
0.26566
|
0.14777
|