Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121863243316000.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 + -0.49*x2 + 0.88*x1^2 + 0.41*x1*x2 + 0.87*x2^2 <= 0.75
and
x1 in [-0.5,1.6]
x2 in [-1.0,1.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1917 |
| Compressed Size | 912 |
| 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 | 1909 |
| Compressed Size | 921 |
| 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 |
/ | 17 |
+ | 10 |
- | 9 |
* | 19 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.50 (5/10) |
CVC4 |
CVC4-sq-final_default |
sat ✅
|
70.87290
|
70.86310
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
106.73500
|
106.71200
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.05198
|
0.00624
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.09000
|
1203.73000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.04000
|
4631.86000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.03258
|
0.03262
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02555
|
0.02564
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.04082
|
0.04084
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.07494
|
0.07552
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.06000
|
1200.03000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.06358
|
0.06363
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02332
|
0.00630
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.04054
|
0.04053
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.26153
|
0.26370
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.03756
|
0.03752
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02153
|
0.02338
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29267
|
0.29274
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.25127
|
0.15107
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42382
|
0.44815
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.24703
|
0.14727
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.23598
|
0.13671
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27056
|
0.17114
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29270
|
0.16188
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46866
|
0.45740
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28140
|
0.16046
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29105
|
0.16406
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.61431
|
0.49348
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31076
|
0.18766
|
| |
|
z3siri-base |
sat ✅
|
0.26786
|
0.15260
|