Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121906331969000.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 - (u*u*u)/6.0 + (u*u*u*u*u)/120.0))
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
Invariant:
-0.14*u + 1.0*u^2 + 0.03*u*v + 0.12*v^2 <= 1.49
and
u in [-1.2,1.3]
v in [-3.6,3.5]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1967 |
| Compressed Size | 960 |
| 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 | 1959 |
| Compressed Size | 975 |
| Max. Term Depth | 15 |
| 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 |
+ | 9 |
- | 9 |
* | 24 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.60 (4/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.09000
|
1199.84000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.02000
|
1199.96000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.12366
|
0.00653
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.06000
|
1203.72000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
0.31504
|
0.17087
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
3.88126
|
3.88087
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.10375
|
0.10387
|
| |
|
z3-4.8.8_default |
unsat ✅
|
0.11485
|
0.11474
|
|
SMT-COMP 2022
|
0.33 (6/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
600.72600
|
600.52900
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.08000
|
1199.39000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1170.37000
|
1170.00000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.11264
|
0.00620
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
2.53981
|
2.53959
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
0.01197
|
0.00790
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
5.58059
|
5.58016
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.08840
|
0.09024
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.35168
|
0.35072
|
|
SMT-COMP 2023
|
0.29 (5/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.06000
|
1199.85000
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1170.05000
|
1170.02000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.12479
|
0.00734
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
751.92800
|
751.87500
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
5.55756
|
5.55720
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.12731
|
0.12753
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.34939
|
0.34943
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.35505
|
0.35515
|
|
SMT-COMP 2025
|
0.33 (4/6) |
cvc5 |
cvc5 |
unsat ✅
|
423.95900
|
423.77800
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47016
|
0.44226
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.24740
|
1200.95415
|
| |
Yices2 |
Yices2 |
unsat ✅
|
5.30411
|
5.18791
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
6.26260
|
23.13680
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
3.24822
|
3.12758
|
| |
|
z3siri-base |
unsat ✅
|
3.67598
|
3.55112
|