Benchmark

non-incremental/NRA/keymaera/dccs-example-node6709-new.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
Size2053
Compressed Size912
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2014-07-21
Generated By
Generated On
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 2045
Compressed Size920
Max. Term Depth20
Asserts 1
Declared Functions0
Declared Constants10
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or2 and12 =>2
=1 exists1 let2 Real1
/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 ❌ 0.01636 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03175 0.02700
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02680 0.01900
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00847 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01404 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01474 0.01200
Z3 z3 4.4.0 default unsat ✅ 10.04070 10.03950
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.02668 0.02724
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.77272 0.77646
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.08467 0.04059
Z3 z3-4.4.1 default unsat ✅ 0.05993 0.06113
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01556 0.01519
Redlog Redlog default unsat ✅ 0.15166 0.15311
Vampire vampire4.2-smt vampire unsat ✅ 0.04191 0.04083
veriT veriT+Redlog_20170618 default unsat ✅ 0.14750 0.15049
Z3 z3-4.5.0 default unsat ✅ 0.04400 0.04344
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02347 0.02368
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 124.54100 495.12000
Z3 z3-4.7.1_default unsat ✅ 0.05478 0.05469
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02250 0.02284
Par4 Par4-wrapped-sq_default unsat ✅ 0.02957 0.00571
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.47911 3.38994
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.36330 3.49878
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.14930 0.10234
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.37565 0.24580
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.13523 0.13521
z3-4.7.1_default unsat ✅ 0.11840 0.11837
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.02104 0.02134
Par4 Par4-wrapped-sq_default unsat ✅ 0.03528 0.00574
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.35472 3.48183
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.11246 0.05578
Z3 z3-4.8.8_default unsat ✅ 0.03598 0.03593
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02227 0.02259
cvc5 cvc5-fixed_default unsat ✅ 0.02519 0.02575
Par4 Par4-wrapped-sq_default unsat ✅ 0.03379 0.00607
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.08000 1203.77000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05784 0.05776
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03249 0.03248
Z3 z3-4.8.11_default unsat ✅ 0.02053 0.02050
z3-4.8.8_default unsat ✅ 0.03621 0.03618
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03385 0.03438
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.37540 5.34170
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.15246 0.10314
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03337 0.03337
Z3 z3-4.8.17_default unsat ✅ 0.02007 0.02167
z3-4.8.11_default unsat ✅ 0.02053 0.02044
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02503 0.02554
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65158 1.42000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.90138 5.11783
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.11177 0.11053
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03404 0.03408
Z3 z3-4.8.11_default unsat ✅ 0.01944 0.01937
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.27019 0.16126
iProver iProver v3.9 unsat ✅ 2.38411 7.16240
SMTInterpol SMTInterpol unsat ✅ 0.49213 0.65354
SMT-RAT SMT-RAT unsat ✅ 0.25339 0.15321
YicesQS YicesQS unsat ✅ 0.23380 0.13405
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29475 0.17124
iProver iProver v3.9.3 unsat ✅ 1.35961 3.78686
SMTInterpol SMTInterpol unsat ✅ 0.50963 0.62391
SMT-RAT SMT-RAT unsat ✅ 0.33327 0.19786
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.77074 1204.63611
YicesQS YicesQS unsat ✅ 0.29046 0.17099
Z3alpha Z3-alpha unsat ✅ 0.36553 0.25694
Z3 Z3-alpha-base unsat ✅ 0.27278 0.15640