Benchmark
non-incremental/NRA/keymaera/dccs-example-node6709.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 6709 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 | 2053 |
| Compressed Size | 912 |
| 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 | 2045 |
| Compressed Size | 918 |
| 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 |
/ | 3 |
+ | 7 |
- | 1 |
* | 12 |
< | 5 |
<= | 3 |
> | 3 |
>= | 5 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2014
|
0.33 (2/3) |
CVC3 |
CVC3 default |
unknown ❌
|
0.00874
|
0.00800
|
| |
CVC4 |
CVC4 f7118b2 default |
unsat ✅
|
0.03943
|
0.02600
|
| |
Z3 |
Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default |
unsat ✅
|
0.02654
|
0.01900
|
|
SMT-COMP 2015
|
0.33 (2/3) |
CVC3 |
CVC3 default |
unknown ❌
|
0.00861
|
0.00800
|
| |
CVC4 |
CVC4-master-2015-06-15-9b32405-main default |
unsat ✅
|
0.01388
|
0.01100
|
| |
|
CVC4-experimental-2015-06-15-ff5745a-main default |
unsat ✅
|
0.01350
|
0.01100
|
| |
Z3 |
z3 4.4.0 default |
unsat ✅
|
10.39100
|
10.39340
|
|
SMT-COMP 2016
|
|
CVC4 |
CVC4-master-2016-05-27-cfef263-main default |
unsat ✅
|
0.01420
|
0.01436
|
| |
Vampire |
vampire_smt_4.1 vampire_smtcomp |
unsat ✅
|
0.76992
|
0.77393
|
| |
|
vampire_smt_4.1_parallel vampire_smtcomp |
unsat ✅
|
0.07803
|
0.04156
|
| |
Z3 |
z3-4.4.1 default |
unsat ✅
|
0.06054
|
0.06184
|
|
SMT-COMP 2017
|
|
CVC4 |
CVC4-smtcomp2017-main default |
unsat ✅
|
0.01629
|
0.01589
|
| |
Redlog |
Redlog default |
unsat ✅
|
0.15240
|
0.15346
|
| |
Vampire |
vampire4.2-smt vampire |
unsat ✅
|
0.04078
|
0.04069
|
| |
veriT |
veriT+Redlog_20170618 default |
unsat ✅
|
0.14830
|
0.14852
|
| |
Z3 |
z3-4.5.0 default |
unsat ✅
|
0.04293
|
0.04332
|
|
SMT-COMP 2018
|
|
CVC4 |
master-2018-06-10-b19c840-competition-default_default |
unsat ✅
|
0.02303
|
0.02323
|
| |
Vampire |
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
122.08900
|
485.25000
|
| |
Z3 |
z3-4.7.1_default |
unsat ✅
|
0.05441
|
0.05435
|
|
SMT-COMP 2019
|
0.20 (4/5) |
CVC4 |
CVC4-2019-06-03-d350fe1-wrapped-sq_default |
unsat ✅
|
0.02062
|
0.02085
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02908
|
0.00576
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default |
unknown ❌
|
2.37640
|
3.39934
|
| |
|
UltimateEliminator+Yices-2.6.1-wrapped-sq_default |
unknown ❌
|
2.53292
|
3.40031
|
| |
Vampire |
vampire-4.4-smtcomp-wrapped-sq_default |
unsat ✅
|
0.11637
|
0.11505
|
| |
|
vampire-4.3-smt_vampire_smtcomp |
unsat ✅
|
0.33213
|
0.23120
|
| |
Z3 |
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
unsat ✅
|
0.13414
|
0.13408
|
| |
|
z3-4.7.1_default |
unsat ✅
|
0.11848
|
0.11843
|
|
SMT-COMP 2020
|
0.20 (4/5) |
CVC4 |
CVC4-sq-final_default |
unsat ✅
|
0.02159
|
0.02187
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03440
|
0.00708
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.3_s_default |
unknown ❌
|
2.36799
|
3.53685
|
| |
Vampire |
vampire_smt_4.5_vampire_smtcomp |
unsat ✅
|
0.05365
|
0.05397
|
| |
Z3 |
z3-4.8.8_default |
unsat ✅
|
0.03545
|
0.03541
|
|
SMT-COMP 2022
|
0.20 (4/5) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.03404
|
0.03445
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.7-wrapped_default |
unknown ❌
|
3.01094
|
5.13446
|
| |
Vampire |
vampire_4.7_smt_fix-wrapped_vampire_smtcomp |
unsat ✅
|
0.15290
|
0.10345
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.03326
|
0.03331
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01975
|
0.02150
|
| |
|
z3-4.8.11_default |
unsat ✅
|
0.02031
|
0.02025
|
|
SMT-COMP 2023
|
0.17 (5/6) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.02490
|
0.02549
|
| |
iProver |
iProver-3.8-fix_iprover_SMT |
unsat ✅
|
0.65095
|
1.45000
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.9_default |
unknown ❌
|
1200.04000
|
1203.80000
|
| |
Vampire |
vampire_4.8_smt_pre_vampire_smtcomp |
unsat ✅
|
0.15798
|
0.15738
|
| |
YicesQS |
yicesQS-2022-07-02-optim-under10_default |
unsat ✅
|
0.03168
|
0.03168
|
| |
Z3 |
z3-4.8.11_default |
unsat ✅
|
0.01936
|
0.01933
|
|
SMT-COMP 2024
|
|
cvc5 |
cvc5 |
unsat ✅
|
0.22448
|
0.12457
|
| |
iProver |
iProver v3.9 |
unsat ✅
|
2.37360
|
7.18276
|
| |
SMTInterpol |
SMTInterpol |
unsat ✅
|
0.51595
|
0.68853
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.24446
|
0.14438
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.23372
|
0.13365
|
|
SMT-COMP 2025
|
0.12 (7/8) |
cvc5 |
cvc5 |
unsat ✅
|
0.32378
|
0.19072
|
| |
iProver |
iProver v3.9.3 |
unsat ✅
|
0.92626
|
1.55748
|
| |
SMTInterpol |
SMTInterpol |
unsat ✅
|
0.52697
|
0.63123
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.34354
|
0.21504
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT |
unknown ❌
|
1201.80343
|
1204.96762
|
| |
YicesQS |
YicesQS |
unsat ✅
|
0.30726
|
0.17989
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.39108
|
0.27603
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.31062
|
0.18363
|