Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121889458073000.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:
x' := x + 0.01 * (-x + 2*x*x + y*y) + rndx0
y' := y + 0.01 * (-y + y*y) + rndy0
Input ranges:
x in [-0.4,0.3]
y in [-0.4,0.3]
rndx0 in [-1.7e-08,1.7e-08]
rndy0 in [-1.6e-08,1.6e-08]
Invariant:
0.1*x + 0.1*y + 0.98*x^2 + 0.01*x*y + 1.0*y^2 <= 0.24
and
x in [-0.4,0.4]
y in [-0.4,0.3]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2520 |
| Compressed Size | 1033 |
| 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 | unsat |
| Size | 2512 |
| Compressed Size | 1031 |
| Max. Term Depth | 14 |
| Asserts | 12 |
| Declared Functions | 0 |
| Declared Constants | 6 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1 |
and | 1 |
= | 2 |
let | 19 |
/ | 27 |
+ | 4 |
- | 6 |
* | 22 |
<= | 6 |
>= | 8 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.80 (2/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.10000
|
1199.88000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.11000
|
1199.95000
|
| |
Par4 |
Par4-wrapped-sq_default |
unknown ❌
|
1200.08000
|
2399.64000
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.03000
|
1203.74000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
64.47430
|
187.93300
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.56337
|
0.56316
|
| |
Z3 |
z3-4.8.11_default |
unknown ❌
|
1200.08000
|
1199.98000
|
| |
|
z3-4.8.8_default |
unknown ❌
|
1200.02000
|
1199.62000
|
|
SMT-COMP 2022
|
0.33 (6/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
601.36400
|
600.78300
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.91000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.73882
|
0.73580
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.24150
|
0.00744
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.36984
|
0.36980
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
217.35300
|
221.41600
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.13958
|
0.13953
|
| |
Z3 |
z3-4.8.17_default |
unknown ❌
|
1200.12000
|
1200.00000
|
| |
Z3++ |
z3++0715_default |
unknown ❌
|
1200.10000
|
1199.94000
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unsat ✅
|
4.11891
|
4.01926
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42292
|
0.44312
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
1.71477
|
1.61458
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.34862
|
0.24806
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.71770
|
1201.08693
|
|
SMT-COMP 2025
|
0.33 (4/6) |
cvc5 |
cvc5 |
unknown ❌
|
1201.75014
|
1201.06551
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46376
|
0.45085
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.51542
|
0.39793
|
| |
Yices2 |
Yices2 |
unsat ✅
|
1.35470
|
1.22825
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.71885
|
0.91540
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.34771
|
0.22539
|
| |
|
z3siri-base |
unsat ✅
|
0.35832
|
0.23950
|