Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121977494004000.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:
-0.02*u + 0.02*v + 1.0*u^2 + 0.09*v^2 <= 0.89
and
u in [-1.0,1.0]
v in [-3.3,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
| Size | 1808 |
| Compressed Size | 898 |
| 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 | 1800 |
| Compressed Size | 904 |
| Max. Term Depth | 15 |
| 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 |
/ | 14 |
+ | 8 |
- | 8 |
* | 16 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.60 (4/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
31.24480
|
31.03950
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
1.77359
|
1.76857
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.05859
|
0.00636
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.10000
|
1203.68000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.03000
|
4626.43000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.04359
|
0.04364
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02857
|
0.02867
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.04406
|
0.04404
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.04220
|
0.04273
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.07000
|
1199.90000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.05767
|
0.05770
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03784
|
0.00792
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01633
|
0.01627
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.04259
|
0.04228
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01980
|
0.01977
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02086
|
0.02277
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28301
|
0.28309
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02522
|
0.02559
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.08263
|
0.08267
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01870
|
0.00647
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02269
|
0.02268
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01682
|
0.01676
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02330
|
0.02352
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28530
|
0.28535
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.28359
|
0.28367
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.25067
|
0.15068
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40919
|
0.42512
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23105
|
0.13109
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25209
|
0.15143
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27207
|
0.17241
|