Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122159470027000.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:
-0.69*u + 0.02*v + 1.0*u^2 + -0.12*u*v + 0.06*v^2 <= 0.62
and
u in [-0.3,1.3]
v in [-3.1,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1916 |
| 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 | 1908 |
| Compressed Size | 940 |
| Max. Term Depth | 16 |
| 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 ❌
|
61.42620
|
61.41520
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.04000
|
1199.78000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01738
|
0.00615
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.03000
|
1203.71000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.12000
|
4654.89000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.03939
|
0.03939
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02000
|
0.02008
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03521
|
0.03519
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.05994
|
0.06048
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.85000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.07761
|
0.07769
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03699
|
0.00677
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03704
|
0.03703
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.03243
|
0.03253
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01921
|
0.01914
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.03614
|
0.03830
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28691
|
0.28696
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02262
|
0.02315
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.04492
|
0.04451
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01751
|
0.00656
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01977
|
0.01972
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01706
|
0.01704
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02231
|
0.02256
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28616
|
0.28624
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.28853
|
0.28856
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23988
|
0.14048
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46268
|
0.48362
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.22575
|
0.12626
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.27224
|
0.17242
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26771
|
0.16827
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30767
|
0.17807
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44459
|
0.41955
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.26527
|
0.14998
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29305
|
0.16901
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60264
|
0.47985
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27618
|
0.15851
|
| |
|
z3siri-base |
sat ✅
|
0.30746
|
0.17824
|