Benchmark
non-incremental/NRA/keymaera/dccs-example-node6708.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: dccs-example, node 6708 For more info see: @see "Sarah M. Loos, Andre Platzer, and Ligia Nistor. Adaptive cruise control: Hybrid, distributed, and now formally verified. In Michael Butler and Wolfram Schulte, editors, 17th International Symposium on Formal Methods, FM, Limerick, Ireland, Proceedings, volume 6664 of LNCS, pages 42-56. Springer, 2011."
| Benchmark |
|---|
| Size | 2164 |
| Compressed Size | 936 |
| 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 | 2156 |
| Compressed Size | 943 |
| Max. Term Depth | 20 |
| 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 | 2 |
and | 12 |
=> | 2 |
= | 1 |
exists | 1 |
let | 2 |
Real | 1 |
/ | 4 |
+ | 8 |
- | 1 |
* | 17 |
< | 6 |
<= | 3 |
> | 3 |
>= | 4 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2014
|
0.67 (1/3) |
CVC3 |
CVC3 default |
unknown ❌
|
0.01677
|
0.00800
|
| |
CVC4 |
CVC4 f7118b2 default |
unknown ❌
|
0.10910
|
0.09098
|
| |
Z3 |
Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default |
unsat ✅
|
0.77096
|
0.76088
|
|
SMT-COMP 2015
|
0.67 (1/3) |
CVC3 |
CVC3 default |
unknown ❌
|
0.00849
|
0.00800
|
| |
CVC4 |
CVC4-master-2015-06-15-9b32405-main default |
unknown ❌
|
2400.01000
|
2401.17000
|
| |
|
CVC4-experimental-2015-06-15-ff5745a-main default |
unknown ❌
|
540.32600
|
540.51600
|
| |
Z3 |
z3 4.4.0 default |
unsat ✅
|
21.63280
|
21.64170
|
|
SMT-COMP 2016
|
0.67 (1/3) |
CVC4 |
CVC4-master-2016-05-27-cfef263-main default |
unknown ❌
|
0.06789
|
0.06824
|
| |
Vampire |
vampire_smt_4.1 vampire_smtcomp |
unsat ✅
|
0.14392
|
0.14464
|
| |
|
vampire_smt_4.1_parallel vampire_smtcomp |
unsat ✅
|
0.26408
|
0.20808
|
| |
Z3 |
z3-4.4.1 default |
unknown ❌
|
0.47348
|
0.47499
|
|
SMT-COMP 2017
|
0.20 (4/5) |
CVC4 |
CVC4-smtcomp2017-main default |
unknown ❌
|
302.42400
|
300.33200
|
| |
Redlog |
Redlog default |
unsat ✅
|
0.19374
|
0.19392
|
| |
Vampire |
vampire4.2-smt vampire |
unsat ✅
|
0.07821
|
0.07756
|
| |
veriT |
veriT+Redlog_20170618 default |
unsat ✅
|
0.17023
|
0.17172
|
| |
Z3 |
z3-4.5.0 default |
unsat ✅
|
0.04400
|
0.04340
|
|
SMT-COMP 2018
|
0.33 (2/3) |
CVC4 |
master-2018-06-10-b19c840-competition-default_default |
unknown ❌
|
1200.10000
|
1200.00000
|
| |
Vampire |
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
0.10554
|
0.14574
|
| |
Z3 |
z3-4.7.1_default |
unsat ✅
|
0.04018
|
0.04009
|
|
SMT-COMP 2019
|
0.40 (3/5) |
CVC4 |
CVC4-2019-06-03-d350fe1-wrapped-sq_default |
unknown ❌
|
2400.02000
|
2399.47000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.04736
|
0.00588
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default |
unknown ❌
|
2.26243
|
3.38080
|
| |
|
UltimateEliminator+Yices-2.6.1-wrapped-sq_default |
unknown ❌
|
2.30842
|
3.41365
|
| |
Vampire |
vampire-4.4-smtcomp-wrapped-sq_default |
unsat ✅
|
0.15872
|
0.10233
|
| |
|
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
0.08785
|
0.07574
|
| |
Z3 |
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unsat ✅
|
0.04198
|
0.04196
|
| |
|
z3-4.7.1_default |
unsat ✅
|
0.04136
|
0.04128
|
|
SMT-COMP 2020
|
0.40 (3/5) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.02000
|
1198.53000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.05070
|
0.00597
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.3_s_default |
unknown ❌
|
2.28682
|
3.44859
|
| |
Vampire |
vampire_smt_4.5_vampire_smtcomp |
unsat ✅
|
0.08823
|
0.08899
|
| |
Z3 |
z3-4.8.8_default |
unsat ✅
|
0.03422
|
0.03417
|
|
SMT-COMP 2021
|
0.43 (4/7) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.02000
|
1197.16000
|
| |
cvc5 |
cvc5-fixed_default |
unknown ❌
|
1200.12000
|
1198.41000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.04876
|
0.00612
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.03000
|
1203.54000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unsat ✅
|
0.13317
|
0.12953
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
unsat ✅
|
0.03850
|
0.03851
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.01915
|
0.01908
|
| |
|
z3-4.8.8_default |
unsat ✅
|
0.03440
|
0.03434
|
|
SMT-COMP 2022
|
0.20 (4/5) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.08131
|
0.08189
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.7-wrapped_default |
unknown ❌
|
1200.06000
|
1203.65000
|
| |
Vampire |
vampire_4.7_smt_fix-wrapped_vampire_smtcomp |
unsat ✅
|
0.11847
|
0.11841
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.03636
|
0.03638
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01907
|
0.02087
|
| |
|
z3-4.8.11_default |
unsat ✅
|
0.02335
|
0.01956
|
|
SMT-COMP 2023
|
0.17 (5/6) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.05138
|
0.05192
|
| |
iProver |
iProver-3.8-fix_iprover_SMT |
unsat ✅
|
1.15354
|
3.55878
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
1200.04000
|
1204.28000
|
| |
Vampire |
vampire_4.8_smt_pre_vampire_smtcomp |
unsat ✅
|
0.13207
|
0.13004
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.03674
|
0.03676
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.01944
|
0.01928
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.25816
|
0.15557
|
| |
iProver |
iProver v3.9 |
unsat ✅
|
0.92054
|
1.24754
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.55595
|
0.76356
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.23909
|
0.13962
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.28371
|
0.16141
|
|
SMT-COMP 2025
|
0.25 (6/8) |
cvc5 |
cvc5 |
unsat ✅
|
0.31654
|
0.18333
|
| |
iProver |
iProver v3.9.3 |
unsat ✅
|
0.87699
|
1.17970
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.54407
|
0.65168
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.29233
|
0.16450
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.76032
|
1204.74621
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.30932
|
0.18263
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.36477
|
0.27386
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.31040
|
0.18416
|