Benchmark
non-incremental/NRA/keymaera/bouncing-ball-inv-node6622.smt2
These benchmarks used in the paper:
Dejan Jovanovic and Leonardo de Moura. Solving Non-Linear Arithmetic.
In IJCAR 2012, published as LNCS volume 7364, pp. 339--354.
The keymaera family contains VCs from Keymaera verification, see:
A. Platzer, J.-D. Quesel, and P. Rummer. Real world verification.
In CADE 2009, pages 485-501. Springer, 2009.
Submitted by Dejan Jovanovic for SMT-LIB.
KeYmaera example: bouncing-ball-inv, node 6622 For more info see: No further information available.
| Benchmark |
|---|
| Size | 2022 |
| Compressed Size | 767 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2014-07-21 |
| Generated By | — |
| Generated On | — |
| Generator | — |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | unsat |
| Inferred Status | unsat |
| Size | 2014 |
| Compressed Size | 766 |
| Max. Term Depth | 23 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 10 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1 |
or | 1 |
and | 13 |
=> | 2 |
= | 4 |
exists | 1 |
let | 1 |
Real | 1 |
/ | 4 |
+ | 7 |
- | 2 |
* | 17 |
< | 1 |
<= | 6 |
> | 2 |
>= | 4 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2017
|
|
CVC4 |
CVC4-smtcomp2017-main default |
unsat ✅
|
1.06548
|
1.06546
|
| |
Redlog |
Redlog default |
unsat ✅
|
0.17589
|
0.17699
|
| |
Vampire |
vampire4.2-smt vampire |
unsat ✅
|
103.59200
|
343.27000
|
| |
veriT |
veriT+Redlog_20170618 default |
unsat ✅
|
0.29294
|
0.29637
|
| |
Z3 |
z3-4.5.0 default |
unsat ✅
|
0.04629
|
0.04530
|
|
SMT-COMP 2018
|
|
CVC4 |
master-2018-06-10-b19c840-competition-default_default |
unsat ✅
|
642.36900
|
640.90200
|
| |
Vampire |
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
993.95300
|
3953.90000
|
| |
Z3 |
z3-4.7.1_default |
unsat ✅
|
0.05905
|
0.05900
|
|
SMT-COMP 2019
|
0.40 (3/5) |
CVC4 |
CVC4-2019-06-03-d350fe1-wrapped-sq_default |
unknown ❌
|
2400.07000
|
2399.49000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.05051
|
0.00552
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default |
unknown ❌
|
2.38678
|
3.37882
|
| |
|
UltimateEliminator+Yices-2.6.1-wrapped-sq_default |
unknown ❌
|
2.38319
|
3.43710
|
| |
Vampire |
vampire-4.4-smtcomp-wrapped-sq_default |
unsat ✅
|
3.73591
|
14.70000
|
| |
|
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
987.39800
|
3924.82000
|
| |
Z3 |
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unsat ✅
|
0.04525
|
0.04523
|
| |
|
z3-4.7.1_default |
unsat ✅
|
0.04496
|
0.04492
|
|
SMT-COMP 2020
|
0.40 (3/5) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.04000
|
1197.14000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.06641
|
0.00594
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.3_s_default |
unknown ❌
|
2.42590
|
3.46194
|
| |
Vampire |
vampire_smt_4.5_vampire_smtcomp |
unsat ✅
|
24.05330
|
26.93000
|
| |
Z3 |
z3-4.8.8_default |
unsat ✅
|
0.03508
|
0.03504
|
|
SMT-COMP 2021
|
0.43 (4/7) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.10000
|
1198.88000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.02000
|
1198.06000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.08812
|
0.00684
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.04000
|
1203.60000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
0.55975
|
2.03000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.09249
|
0.09249
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.02262
|
0.02255
|
| |
|
z3-4.8.8_default |
unsat ✅
|
0.03836
|
0.03835
|
|
SMT-COMP 2022
|
0.20 (4/5) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.09575
|
0.09627
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.7-wrapped_default |
unknown ❌
|
2.92021
|
4.83378
|
| |
Vampire |
vampire_4.7_smt_fix-wrapped_vampire_smtcomp |
unsat ✅
|
0.42275
|
0.31496
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.07068
|
0.07073
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.02340
|
0.02519
|
| |
|
z3-4.8.11_default |
unsat ✅
|
0.02274
|
0.02270
|
|
SMT-COMP 2023
|
0.33 (4/6) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.05293
|
0.05344
|
| |
iProver |
iProver-3.8-fix_iprover_SMT |
unknown ❌
|
1200.07000
|
4747.43000
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
1200.04000
|
1203.81000
|
| |
Vampire |
vampire_4.8_smt_pre_vampire_smtcomp |
unsat ✅
|
0.37866
|
0.64730
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.04863
|
0.04863
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.02079
|
0.02076
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.23601
|
0.13611
|
| |
iProver |
iProver v3.9 |
unknown ❌
|
1201.71916
|
4762.77909
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43677
|
0.51331
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.31281
|
0.21209
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.23695
|
0.13730
|
|
SMT-COMP 2025
|
0.38 (5/8) |
cvc5 |
cvc5 |
unsat ✅
|
0.30385
|
0.17944
|
| |
iProver |
iProver v3.9.3 |
unknown ❌
|
1201.77667
|
4778.75336
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47949
|
0.50946
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.25648
|
0.13801
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.79317
|
1204.54046
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.32302
|
0.19769
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.40096
|
0.29765
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.28554
|
0.16713
|