Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121861204394000.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 + -0.32*x2 + 0.87*x1^2 + 0.08*x1*x2 + 0.72*x2^2 <= 0.4
and
x1 in [-0.3,1.4]
x2 in [-0.8,1.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1905 |
| Compressed Size | 902 |
| 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 | 1897 |
| Compressed Size | 908 |
| 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 ❌
|
39.48380
|
39.48600
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.03000
|
1199.95000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01969
|
0.00644
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.12000
|
1203.77000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.07000
|
4675.75000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.04273
|
0.04274
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02226
|
0.02236
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03748
|
0.03754
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.05121
|
0.05168
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.06000
|
1200.02000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.04392
|
0.04380
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02769
|
0.00802
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.04636
|
0.04635
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.28008
|
0.28333
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02032
|
0.02030
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02836
|
0.03118
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28821
|
0.28828
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02739
|
0.02801
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.05277
|
0.05284
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01993
|
0.00643
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.05507
|
0.05505
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.03326
|
0.03322
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02508
|
0.02531
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29115
|
0.29124
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29137
|
0.29143
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22277
|
0.12301
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42001
|
0.43450
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23445
|
0.13463
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.24682
|
0.14719
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27008
|
0.17051
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30585
|
0.17470
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45006
|
0.44811
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29990
|
0.16667
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.30351
|
0.17871
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59866
|
0.48077
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.30197
|
0.18204
|
| |
|
z3siri-base |
sat ✅
|
0.31155
|
0.17798
|