Benchmark
non-incremental/NRA/keymaera/bouncing-ball-inv-node6248.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 6248 For more info see: No further information available.
| Benchmark |
|---|
| Size | 2063 |
| Compressed Size | 776 |
| 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 | unknown |
| Inferred Status | unsat |
| Size | 2055 |
| Compressed Size | 768 |
| Max. Term Depth | 24 |
| 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 |
and | 15 |
=> | 2 |
= | 4 |
exists | 1 |
let | 1 |
Real | 1 |
/ | 4 |
+ | 8 |
- | 3 |
* | 19 |
< | 1 |
<= | 6 |
> | 3 |
>= | 4 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2017
|
0.20 (4/5) |
CVC4 |
CVC4-smtcomp2017-main default |
unknown ❌
|
301.60400
|
300.27700
|
| |
Redlog |
Redlog default |
unsat ✅
|
0.18220
|
0.18332
|
| |
Vampire |
vampire4.2-smt vampire |
unsat ✅
|
0.06985
|
0.06579
|
| |
veriT |
veriT+Redlog_20170618 default |
unsat ✅
|
1.02914
|
1.03469
|
| |
Z3 |
z3-4.5.0 default |
unsat ✅
|
0.04194
|
0.04118
|
|
SMT-COMP 2018
|
|
CVC4 |
master-2018-06-10-b19c840-competition-default_default |
unsat ✅
|
930.88600
|
930.79300
|
| |
Vampire |
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
0.08659
|
0.15278
|
| |
Z3 |
z3-4.7.1_default |
unsat ✅
|
0.03843
|
0.03835
|
|
SMT-COMP 2019
|
0.40 (3/5) |
CVC4 |
CVC4-2019-06-03-d350fe1-wrapped-sq_default |
unknown ❌
|
2400.08000
|
2389.18000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.04504
|
0.00597
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default |
unknown ❌
|
2.30544
|
3.42691
|
| |
|
UltimateEliminator+Yices-2.6.1-wrapped-sq_default |
unknown ❌
|
2.44363
|
3.39697
|
| |
Vampire |
vampire-4.4-smtcomp-wrapped-sq_default |
unsat ✅
|
0.10541
|
0.09878
|
| |
|
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
0.08740
|
0.15056
|
| |
Z3 |
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unsat ✅
|
0.03955
|
0.03955
|
| |
|
z3-4.7.1_default |
unsat ✅
|
0.03908
|
0.03905
|
|
SMT-COMP 2020
|
0.40 (3/5) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.02000
|
1192.89000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.04664
|
0.00625
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.3_s_default |
unknown ❌
|
2.51877
|
3.40949
|
| |
Vampire |
vampire_smt_4.5_vampire_smtcomp |
unsat ✅
|
0.15225
|
0.09097
|
| |
Z3 |
z3-4.8.8_default |
unsat ✅
|
0.03349
|
0.03343
|
|
SMT-COMP 2021
|
0.29 (5/7) |
CVC4 |
CVC4-sq-final_default |
unsat ✅
|
694.89900
|
687.42800
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.06000
|
1199.93000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.04739
|
0.00734
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.10000
|
1203.64000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
0.12796
|
0.12706
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.04020
|
0.04022
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.02081
|
0.01884
|
| |
|
z3-4.8.8_default |
unsat ✅
|
0.03408
|
0.03405
|
|
SMT-COMP 2022
|
0.20 (4/5) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.10909
|
0.10969
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.7-wrapped_default |
unknown ❌
|
1200.06000
|
1203.64000
|
| |
Vampire |
vampire_4.7_smt_fix-wrapped_vampire_smtcomp |
unsat ✅
|
0.16000
|
0.09423
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.03951
|
0.03956
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01905
|
0.02081
|
| |
|
z3-4.8.11_default |
unsat ✅
|
0.01846
|
0.01841
|
|
SMT-COMP 2023
|
0.17 (5/6) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.06600
|
0.06656
|
| |
iProver |
iProver-3.8-fix_iprover_SMT |
unsat ✅
|
2.16725
|
6.09046
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
1200.10000
|
1203.91000
|
| |
Vampire |
vampire_4.8_smt_pre_vampire_smtcomp |
unsat ✅
|
0.16495
|
0.09799
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.04002
|
0.04006
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.01844
|
0.01840
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.28030
|
0.17709
|
| |
iProver |
iProver v3.9 |
unsat ✅
|
0.84847
|
1.52626
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46928
|
0.53594
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.25375
|
0.15309
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.26614
|
0.16567
|
|
SMT-COMP 2025
|
0.25 (6/8) |
cvc5 |
cvc5 |
unsat ✅
|
0.32847
|
0.20290
|
| |
iProver |
iProver v3.9.3 |
unsat ✅
|
1.39855
|
3.92750
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44288
|
0.46809
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.27121
|
0.15237
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.79066
|
1204.66052
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.29918
|
0.17351
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.35837
|
0.27557
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.29060
|
0.17085
|