Benchmark
non-incremental/NRA/keymaera/bouncing-ball-inv-node6638.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 6638 For more info see: No further information available.
| Benchmark |
|---|
| Size | 1977 |
| Compressed Size | 765 |
| 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 | 1969 |
| Compressed Size | 759 |
| 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 |
or | 1 |
and | 13 |
=> | 2 |
= | 4 |
exists | 1 |
let | 2 |
Real | 1 |
/ | 4 |
+ | 6 |
- | 2 |
* | 17 |
< | 1 |
<= | 5 |
> | 2 |
>= | 5 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2015
|
0.33 (2/3) |
CVC3 |
CVC3 default |
unknown ❌
|
0.00873
|
0.00800
|
| |
CVC4 |
CVC4-master-2015-06-15-9b32405-main default |
unsat ✅
|
0.01306
|
0.01000
|
| |
|
CVC4-experimental-2015-06-15-ff5745a-main default |
unsat ✅
|
0.01373
|
0.01100
|
| |
Z3 |
z3 4.4.0 default |
unsat ✅
|
0.04223
|
0.04199
|
|
SMT-COMP 2016
|
|
CVC4 |
CVC4-master-2016-05-27-cfef263-main default |
unsat ✅
|
0.01337
|
0.01359
|
| |
Vampire |
vampire_smt_4.1 vampire_smtcomp |
unsat ✅
|
1.29544
|
1.30250
|
| |
|
vampire_smt_4.1_parallel vampire_smtcomp |
unsat ✅
|
0.58761
|
0.25595
|
| |
Z3 |
z3-4.4.1 default |
unsat ✅
|
23.32840
|
23.34300
|
|
SMT-COMP 2017
|
|
CVC4 |
CVC4-smtcomp2017-main default |
unsat ✅
|
0.01505
|
0.01441
|
| |
Redlog |
Redlog default |
unsat ✅
|
0.15237
|
0.15341
|
| |
Vampire |
vampire4.2-smt vampire |
unsat ✅
|
0.04994
|
0.04970
|
| |
veriT |
veriT+Redlog_20170618 default |
unsat ✅
|
0.15055
|
0.15108
|
| |
Z3 |
z3-4.5.0 default |
unsat ✅
|
0.04680
|
0.04619
|
|
SMT-COMP 2018
|
|
CVC4 |
master-2018-06-10-b19c840-competition-default_default |
unsat ✅
|
0.01826
|
0.01841
|
| |
Vampire |
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
306.43000
|
1219.04000
|
| |
Z3 |
z3-4.7.1_default |
unsat ✅
|
0.05053
|
0.05047
|
|
SMT-COMP 2019
|
0.20 (4/5) |
CVC4 |
CVC4-2019-06-03-d350fe1-wrapped-sq_default |
unsat ✅
|
0.02228
|
0.02264
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02680
|
0.00562
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default |
unknown ❌
|
2.40460
|
3.36573
|
| |
|
UltimateEliminator+Yices-2.6.1-wrapped-sq_default |
unknown ❌
|
2.30463
|
3.43031
|
| |
Vampire |
vampire-4.4-smtcomp-wrapped-sq_default |
unsat ✅
|
0.78929
|
2.82000
|
| |
|
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
249.77300
|
992.47000
|
| |
Z3 |
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unsat ✅
|
0.07200
|
0.07201
|
| |
|
z3-4.7.1_default |
unsat ✅
|
0.07305
|
0.07300
|
|
SMT-COMP 2020
|
0.20 (4/5) |
CVC4 |
CVC4-sq-final_default |
unsat ✅
|
0.02032
|
0.02063
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02807
|
0.00622
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.3_s_default |
unknown ❌
|
2.39338
|
3.45348
|
| |
Vampire |
vampire_smt_4.5_vampire_smtcomp |
unsat ✅
|
0.05788
|
0.05764
|
| |
Z3 |
z3-4.8.8_default |
unsat ✅
|
0.03723
|
0.03718
|
|
SMT-COMP 2021
|
0.14 (6/7) |
CVC4 |
CVC4-sq-final_default |
unsat ✅
|
0.02259
|
0.02287
|
| |
cvc5 |
cvc5-fixed_default |
unsat ✅
|
0.02513
|
0.02570
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02899
|
0.00614
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
2.96532
|
5.08000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
0.11736
|
0.11791
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.03320
|
0.03321
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.02110
|
0.02107
|
| |
|
z3-4.8.8_default |
unsat ✅
|
0.03783
|
0.03777
|
|
SMT-COMP 2022
|
0.20 (4/5) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.03346
|
0.03395
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.7-wrapped_default |
unknown ❌
|
2.95425
|
4.90579
|
| |
Vampire |
vampire_4.7_smt_fix-wrapped_vampire_smtcomp |
unsat ✅
|
0.20040
|
0.10935
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.03247
|
0.03250
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.03804
|
0.04101
|
| |
|
z3-4.8.11_default |
unsat ✅
|
0.02022
|
0.02014
|
|
SMT-COMP 2023
|
0.17 (5/6) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.02395
|
0.02454
|
| |
iProver |
iProver-3.8-fix_iprover_SMT |
unsat ✅
|
1.15287
|
3.77937
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
1200.08000
|
1204.05000
|
| |
Vampire |
vampire_4.8_smt_pre_vampire_smtcomp |
unsat ✅
|
0.28520
|
0.28515
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.03247
|
0.03250
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.02094
|
0.02090
|
|
SMT-COMP 2024
|
|
cvc5 |
cvc5 |
unsat ✅
|
0.24076
|
0.14109
|
| |
iProver |
iProver v3.9 |
unsat ✅
|
118.58330
|
459.43698
|
| |
SMTInterpol |
SMTInterpol |
unsat ✅
|
0.47985
|
0.62832
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.22053
|
0.12067
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.25855
|
0.13690
|
|
SMT-COMP 2025
|
0.12 (7/8) |
cvc5 |
cvc5 |
unsat ✅
|
0.25994
|
0.14270
|
| |
iProver |
iProver v3.9.3 |
unsat ✅
|
9.39943
|
33.04986
|
| |
SMTInterpol |
SMTInterpol |
unsat ✅
|
0.52690
|
0.63147
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.27632
|
0.15105
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.76437
|
1204.86366
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.31687
|
0.18234
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.37767
|
0.26761
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.27943
|
0.15884
|