Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121980156583000.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:
-0.11*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 | 1853 |
| Compressed Size | 900 |
| 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 | 1845 |
| Compressed Size | 909 |
| Max. Term Depth | 14 |
| 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 | 7 |
/ | 20 |
+ | 8 |
- | 8 |
* | 18 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.40 (6/10) |
CVC4 |
CVC4-sq-final_default |
unsat ✅
|
0.65616
|
0.65645
|
| |
cvc5 |
cvc5-fixed_default |
unsat ✅
|
0.80096
|
0.80152
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.05567
|
0.00610
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.05000
|
1203.77000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
0.16130
|
0.10748
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.99262
|
0.99247
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.02729
|
0.02739
|
| |
|
z3-4.8.8_default |
unsat ✅
|
0.04337
|
0.04340
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.17284
|
0.17332
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.99000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.25425
|
0.25421
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.06243
|
0.00636
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.10689
|
0.10683
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
0.32594
|
0.32174
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.59894
|
0.59807
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.03090
|
0.03282
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29331
|
0.29339
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.29617
|
0.19639
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41639
|
0.43190
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.28478
|
0.18484
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.52916
|
0.42939
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.30750
|
0.20799
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.33694
|
0.21709
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43064
|
0.41740
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.30720
|
0.18154
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.31677
|
0.19373
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.62695
|
0.58243
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.31316
|
0.19317
|
| |
|
z3siri-base |
unsat ✅
|
0.31613
|
0.19170
|