Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121982750472000.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 + rndu0
v' := v + 0.01 * (-0.5 * v - 9.81 * u) + rndv0
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
rndu0 in [-6.4e-08,6.4e-08]
rndv0 in [-2.8e-07,2.8e-07]
Invariant:
-0.11*u + 1.0*u^2 + 0.04*u*v + 0.1*v^2 <= 1.64
and
u in [-1.3,1.4]
v in [-4.1,4.1]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2203 |
| Compressed Size | 985 |
| 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 | 2195 |
| Compressed Size | 988 |
| Max. Term Depth | 12 |
| 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 | 9 |
/ | 23 |
+ | 4 |
- | 9 |
* | 15 |
<= | 6 |
>= | 8 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.40 (6/10) |
CVC4 |
CVC4-sq-final_default |
unsat ✅
|
827.93500
|
827.14400
|
| |
cvc5 |
cvc5-fixed_default |
unsat ✅
|
339.43600
|
339.43600
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
107.05200
|
213.98000
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.08000
|
1206.51000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
126.56300
|
383.77000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.72527
|
0.72508
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
107.28100
|
107.28200
|
| |
|
z3-4.8.8_default |
unsat ✅
|
105.94900
|
105.94400
|
|
SMT-COMP 2023
|
0.29 (5/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.10000
|
1196.46000
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1171.64000
|
1170.18000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.54543
|
0.00788
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
232.09200
|
232.06300
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.45229
|
0.45226
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
180.39300
|
180.39700
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
187.52800
|
187.50800
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
182.63700
|
182.58700
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
652.42972
|
652.20684
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40501
|
0.39498
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
5.15572
|
5.02175
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.46113
|
0.33370
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
9.59012
|
36.46761
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
16.58293
|
16.44440
|
| |
|
z3siri-base |
unsat ✅
|
16.78964
|
16.67088
|