Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121862719873000.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:
x1' := x1 + 0.01 * x2
x2' := -0.01 * x1 + 0.99 * x2
Input ranges:
x1 in [0.0,1.0]
x2 in [0.0,1.0]
Invariant:
-1.0*x1 + -0.37*x2 + 0.88*x1^2 + 0.26*x1*x2 + 0.87*x2^2 <= 0.69
and
x1 in [-0.5,1.5]
x2 in [-1.0,1.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1896 |
| Compressed Size | 905 |
| 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 | 1888 |
| Compressed Size | 913 |
| 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 |
/ | 17 |
+ | 10 |
- | 9 |
* | 19 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.60 (4/10) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
14.90900
|
14.90940
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.03000
|
1199.94000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.05754
|
0.01218
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.04000
|
1206.07000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.11000
|
4622.73000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.03216
|
0.03218
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02554
|
0.02563
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.04102
|
0.04104
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.06145
|
0.06188
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.09000
|
1199.92000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.06889
|
0.05742
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02203
|
0.00715
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.14991
|
0.14989
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.21635
|
0.21686
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02548
|
0.02544
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02104
|
0.02291
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28986
|
0.28992
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30227
|
0.17870
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47220
|
0.47175
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.27184
|
0.15368
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.45441
|
0.32281
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60342
|
0.48429
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27749
|
0.15971
|
| |
|
z3siri-base |
sat ✅
|
0.28723
|
0.16886
|