Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121978410256000.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:
-0.01*u + 0.03*v + 1.0*u^2 + 0.04*u*v + 0.11*v^2 <= 1.22
and
u in [-1.1,1.1]
v in [-3.5,3.1]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1937 |
| Compressed Size | 916 |
| 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 | 1929 |
| Compressed Size | 924 |
| 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 |
/ | 22 |
+ | 10 |
- | 8 |
* | 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 ❌
|
39.81340
|
39.78860
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.07000
|
1198.37000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02451
|
0.00817
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.02000
|
1203.60000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.03000
|
4640.92000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.05658
|
0.05661
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.02331
|
0.02341
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03828
|
0.03830
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30252
|
0.17749
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46401
|
0.44250
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.31439
|
0.18362
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.32412
|
0.20205
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59405
|
0.48235
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31745
|
0.18797
|
| |
|
z3siri-base |
sat ✅
|
0.30030
|
0.17333
|