Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121861020640000.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 + -0.33*x2 + 0.88*x1^2 + 0.11*x1*x2 + 0.6*x2^2 <= 0.27
and
x1 in [-0.3,1.3]
x2 in [-0.8,1.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1915 |
| Compressed Size | 907 |
| 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 | 1907 |
| Compressed Size | 916 |
| 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 |
/ | 19 |
+ | 10 |
- | 9 |
* | 19 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
32.50000
|
32.49940
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.08000
|
1199.80000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01664
|
0.00622
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.09000
|
1203.68000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.03000
|
4659.82000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.04293
|
0.04296
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.01897
|
0.01909
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03459
|
0.03461
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.05514
|
0.05566
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.92000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.05081
|
0.05088
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02947
|
0.00711
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01578
|
0.01573
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.21816
|
0.21979
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01918
|
0.01914
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02091
|
0.02281
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28685
|
0.28692
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02823
|
0.02875
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.04136
|
0.04144
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01871
|
0.00692
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01995
|
0.01993
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01373
|
0.01371
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02295
|
0.02312
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28591
|
0.28600
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29235
|
0.29240
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22639
|
0.12701
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43041
|
0.45592
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23761
|
0.13828
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22183
|
0.12228
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26754
|
0.16807
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.26041
|
0.14622
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42741
|
0.42079
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.30547
|
0.17656
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28591
|
0.16386
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58629
|
0.47314
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28739
|
0.17255
|
| |
|
z3siri-base |
sat ✅
|
0.26319
|
0.14585
|