Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121684477306000.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 + 0.5*x^2 + 1.0*x*y + 0.86*y^2 <= 0.02
and
x in [-0.4,0.2]
y in [-0.2,0.4]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1918 |
| Compressed Size | 917 |
| 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 | 1910 |
| Compressed Size | 937 |
| 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
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.10000
|
1200.06000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.04000
|
299.98700
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03063
|
0.00781
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.03000
|
1203.81000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.06000
|
4645.98000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.07211
|
0.07214
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02945
|
0.02950
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.04529
|
0.04531
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.10767
|
0.10823
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.06000
|
1199.97000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.11688
|
0.11693
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03376
|
0.00684
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.27957
|
0.27951
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.28523
|
0.28573
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.04335
|
0.04247
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.03029
|
0.03245
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29355
|
0.29357
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.14960
|
0.15017
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
9.15395
|
9.15348
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03021
|
0.00667
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.71830
|
0.71829
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.02621
|
0.02619
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.03505
|
0.03527
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29429
|
0.29435
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29861
|
0.29871
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.36178
|
0.24088
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41708
|
0.41400
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.30639
|
0.18247
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.32512
|
0.19288
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60616
|
0.50342
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27641
|
0.15881
|
| |
|
z3siri-base |
sat ✅
|
0.30829
|
0.17864
|