Benchmark
non-incremental/NRA/keymaera/bouncing-ball-simple-node5981.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-simple, node 5981 For more info see: No further information available.
| Benchmark |
| Size | 1821 |
| Compressed Size | 707 |
| 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 | 1813 |
| Compressed Size | 708 |
| Max. Term Depth | 17 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 7 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1 |
or | 1 |
and | 9 |
=> | 2 |
= | 4 |
exists | 1 |
Real | 1 |
/ | 2 |
+ | 7 |
- | 3 |
* | 10 |
<= | 5 |
>= | 4 |
| | | | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2017
|
|
CVC4 |
CVC4-smtcomp2017-main default |
unsat ✅
|
0.04992
|
0.04886
|
| |
Redlog |
Redlog default |
unsat ✅
|
0.15925
|
0.16085
|
| |
Vampire |
vampire4.2-smt vampire |
unsat ✅
|
0.17455
|
0.16869
|
| |
veriT |
veriT+Redlog_20170618 default |
unsat ✅
|
0.15837
|
0.15828
|
| |
Z3 |
z3-4.5.0 default |
unsat ✅
|
0.05056
|
0.04434
|
|
SMT-COMP 2018
|
|
CVC4 |
master-2018-06-10-b19c840-competition-default_default |
unsat ✅
|
0.08886
|
0.08906
|
| |
Vampire |
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
596.62100
|
2373.13000
|
| |
Z3 |
z3-4.7.1_default |
unsat ✅
|
0.03880
|
0.03907
|
|
SMT-COMP 2019
|
0.20 (4/5) |
CVC4 |
CVC4-2019-06-03-d350fe1-wrapped-sq_default |
unsat ✅
|
0.12187
|
0.12224
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.04558
|
0.00596
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default |
unknown ❌
|
2.37725
|
3.44869
|
| |
|
UltimateEliminator+Yices-2.6.1-wrapped-sq_default |
unknown ❌
|
2.41726
|
3.33882
|
| |
Vampire |
vampire-4.4-smtcomp-wrapped-sq_default |
unsat ✅
|
0.50975
|
0.46017
|
| |
|
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
421.83100
|
1676.04000
|
| |
Z3 |
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unsat ✅
|
0.04015
|
0.04011
|
| |
|
z3-4.7.1_default |
unsat ✅
|
0.03898
|
0.03892
|
|
SMT-COMP 2020
|
0.20 (4/5) |
CVC4 |
CVC4-sq-final_default |
unsat ✅
|
0.10531
|
0.10563
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.06007
|
0.00796
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.3_s_default |
unknown ❌
|
2.49688
|
3.52299
|
| |
Vampire |
vampire_smt_4.5_vampire_smtcomp |
unsat ✅
|
0.29634
|
0.24348
|
| |
Z3 |
z3-4.8.8_default |
unsat ✅
|
0.04375
|
0.04372
|
|
SMT-COMP 2021
|
0.14 (6/7) |
CVC4 |
CVC4-sq-final_default |
unsat ✅
|
0.10313
|
0.10343
|
| |
cvc5 |
cvc5-fixed_default |
unsat ✅
|
0.21534
|
0.21545
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.05217
|
0.00610
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
2.94955
|
4.87731
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
0.14892
|
0.13693
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.07031
|
0.07032
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.01948
|
0.01944
|
| |
|
z3-4.8.8_default |
unsat ✅
|
0.03556
|
0.03554
|
|
SMT-COMP 2022
|
0.20 (4/5) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.23180
|
0.23234
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.7-wrapped_default |
unknown ❌
|
1200.08000
|
1203.62000
|
| |
Vampire |
vampire_4.7_smt_fix-wrapped_vampire_smtcomp |
unsat ✅
|
0.17680
|
0.17510
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.08329
|
0.08333
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.02028
|
0.02194
|
| |
|
z3-4.8.11_default |
unsat ✅
|
0.01996
|
0.01992
|
|
SMT-COMP 2023
|
0.33 (4/6) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.13718
|
0.13773
|
| |
iProver |
iProver-3.8-fix_iprover_SMT |
unknown ❌
|
1200.06000
|
4712.73000
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
1200.05000
|
1203.69000
|
| |
Vampire |
vampire_4.8_smt_pre_vampire_smtcomp |
unsat ✅
|
0.20297
|
0.20316
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.06324
|
0.06328
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.02708
|
0.02700
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.27668
|
0.17633
|
| |
iProver |
iProver v3.9 |
unsat ✅
|
39.97733
|
148.03091
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42615
|
0.46403
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.22123
|
0.12124
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.24410
|
0.14463
|
|
SMT-COMP 2025
|
0.25 (6/8) |
cvc5 |
cvc5 |
unsat ✅
|
0.28872
|
0.16565
|
| |
iProver |
iProver v3.9.3 |
unsat ✅
|
14.46115
|
49.77018
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43861
|
0.45108
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.28750
|
0.16164
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.77315
|
1204.27501
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.36190
|
0.23167
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.38824
|
0.27854
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.31471
|
0.19035
|