Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121901508910000.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 - (u*u*u)/6.0 + (u*u*u*u*u)/120.0))
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
Invariant:
-0.14*u + -0.02*v + 1.0*u^2 + 0.03*u*v + 0.1*v^2 <= 1.0
and
u in [-1.0,1.1]
v in [-3.1,3.2]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2015 |
| Compressed Size | 978 |
| 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 | 2007 |
| Compressed Size | 992 |
| 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 | 9 |
/ | 20 |
+ | 11 |
- | 11 |
* | 26 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.03000
|
1198.41000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.01000
|
1199.90000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04147
|
0.00626
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.05000
|
1203.64000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.04000
|
4654.00000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.12613
|
0.12602
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.03832
|
0.03844
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.05328
|
0.05331
|
|
SMT-COMP 2022
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.24492
|
0.24552
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.97000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
1.04822
|
1.04454
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03373
|
0.00742
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
1.55394
|
1.55384
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
0.02765
|
0.00858
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.09805
|
0.09800
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.03854
|
0.04054
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30636
|
0.30646
|
|
SMT-COMP 2023
|
0.14 (6/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.13237
|
0.13272
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1170.06000
|
1170.01000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03340
|
0.00666
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.78310
|
0.78311
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.08613
|
0.08607
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.04236
|
0.04255
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30496
|
0.30503
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.30960
|
0.30971
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.34268
|
0.21601
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45814
|
0.44859
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.33864
|
0.21834
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.37432
|
0.24710
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60568
|
0.53836
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28682
|
0.16743
|
| |
|
z3siri-base |
sat ✅
|
0.31425
|
0.18510
|