Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121905539672000.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:
-0.16*u + -0.01*v + 1.0*u^2 + 0.03*u*v + 0.11*v^2 <= 1.36
and
u in [-1.1,1.3]
v in [-3.5,3.5]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2063 |
| Compressed Size | 989 |
| 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 | 2055 |
| Compressed Size | 998 |
| 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 |
/ | 24 |
+ | 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 ❌
|
1200.07000
|
1200.10000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.11000
|
1200.01000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02192
|
0.00703
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.04000
|
1203.60000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.06000
|
4649.14000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.24564
|
0.24569
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02144
|
0.02151
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03707
|
0.03711
|
|
SMT-COMP 2022
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.15421
|
0.15306
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.80000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.11447
|
0.11453
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04481
|
0.00766
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
2.54542
|
2.54550
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
0.01550
|
0.00835
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.13232
|
0.13107
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02199
|
0.02386
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.34391
|
0.34401
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.05084
|
0.05144
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.11583
|
0.11586
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02259
|
0.00624
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.54091
|
0.54084
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.04552
|
0.04532
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02742
|
0.02762
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.33543
|
0.33546
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.34588
|
0.34580
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23966
|
0.14035
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41753
|
0.43567
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
1.02293
|
0.92312
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25260
|
0.15277
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
16.38377
|
16.28191
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30678
|
0.18288
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46120
|
0.44949
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.33424
|
0.21348
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29169
|
0.17253
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.66077
|
0.73640
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32903
|
0.20580
|
| |
|
z3siri-base |
sat ✅
|
0.33750
|
0.20987
|