Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121862060861000.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:
x1' := x1 + 0.01 * x2
x2' := -0.01 * x1 + 0.99 * x2
Input ranges:
x1 in [0.0,1.0]
x2 in [0.0,1.0]
Invariant:
-1.0*x1 + -0.32*x2 + 0.86*x1^2 + 0.19*x1*x2 + 0.68*x2^2 <= 0.49
and
x1 in [-0.4,1.4]
x2 in [-0.9,1.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1931 |
| Compressed Size | 918 |
| 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 | 1923 |
| Compressed Size | 928 |
| 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 | 8 |
/ | 19 |
+ | 10 |
- | 9 |
* | 19 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.70 (3/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
37.19260
|
37.19050
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.01000
|
1199.97000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03314
|
0.01151
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.07000
|
1203.87000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.03000
|
4621.36000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.07385
|
0.07390
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02168
|
0.02177
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03689
|
0.03692
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.05216
|
0.05269
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.87000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.06806
|
0.06815
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03025
|
0.00923
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.04452
|
0.04450
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.27469
|
0.27637
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.06357
|
0.06353
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02352
|
0.02541
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29037
|
0.29047
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02690
|
0.02749
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.08069
|
0.08077
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02146
|
0.00638
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.08390
|
0.08385
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.04411
|
0.04406
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02320
|
0.02346
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28950
|
0.28951
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29209
|
0.29214
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.27576
|
0.17586
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44787
|
0.46400
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25025
|
0.15042
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.24493
|
0.14523
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26817
|
0.16877
|