Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122164185255000.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:
u' := u + 0.01 * v
v' := v + 0.01 * (-0.5 * v - 9.81 * u)
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
Invariant:
-1.0*u + 0.21*v + 0.89*u^2 + -0.11*u*v + 0.06*v^2 <= 1.26
and
u in [-0.6,1.9]
v in [-6.3,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1928 |
| Compressed Size | 929 |
| 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 | 1920 |
| 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 |
+ | 10 |
- | 10 |
* | 20 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
45.02360
|
45.00010
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.06000
|
1199.22000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01739
|
0.00637
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.04000
|
1203.71000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.02000
|
4721.20000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.03845
|
0.03846
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.01958
|
0.01970
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03552
|
0.03552
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.06314
|
0.06370
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.99000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.15814
|
0.15821
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02874
|
0.00706
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03534
|
0.03528
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.07093
|
0.07103
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01989
|
0.01981
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02247
|
0.02436
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29179
|
0.29185
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02972
|
0.03018
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.05603
|
0.05612
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01771
|
0.00624
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01895
|
0.01893
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01705
|
0.01698
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02371
|
0.02394
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29276
|
0.29279
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.28974
|
0.28984
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22508
|
0.12557
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43552
|
0.45479
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23683
|
0.13710
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28326
|
0.18358
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.28557
|
0.18602
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29575
|
0.16909
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46175
|
0.45630
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25802
|
0.13934
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28726
|
0.16803
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60585
|
0.48705
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27864
|
0.15982
|
| |
|
z3siri-base |
sat ✅
|
0.32010
|
0.18138
|