Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121905004413000.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:
-0.17*u + -0.01*v + 1.0*u^2 + 0.04*u*v + 0.1*v^2 <= 1.26
and
u in [-1.1,1.3]
v in [-3.4,3.5]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2058 |
| Compressed Size | 980 |
| 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 | 2050 |
| Compressed Size | 996 |
| 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 ❌
|
1200.06000
|
1200.04000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.03000
|
1200.00000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.15107
|
0.00763
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.05000
|
1203.55000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.10000
|
4651.53000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.33237
|
0.32945
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.13297
|
0.13304
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.14481
|
0.14482
|
|
SMT-COMP 2022
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.49916
|
0.49970
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.10000
|
1199.96000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
5.00828
|
5.00807
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.15358
|
0.00661
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
1.54893
|
1.54896
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
0.01033
|
0.00823
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.14286
|
0.14284
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.13277
|
0.13467
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.36478
|
0.36482
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.31315
|
0.21357
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43560
|
0.46827
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.89136
|
0.79197
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.26498
|
0.16548
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.29785
|
0.19738
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.33675
|
0.22109
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47013
|
0.46402
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29677
|
0.17772
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.36573
|
0.23524
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.66451
|
0.74907
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32017
|
0.20176
|
| |
|
z3siri-base |
sat ✅
|
0.32609
|
0.20753
|