Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node37008.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: intersection-example-onelane.proof, node 37008 For more info see: @see "Sarah M. Loos and Andre Platzer. Safe intersections: At the crossing of hybrid systems and verification. In Kyongsu Yi, editor, 14th International IEEE Conference on Intelligent Transportation Systems, ITSC 2011, Washington, DC, USA, Proceedings. 2011."
Benchmark
Size1986
Compressed Size868
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 1978
Compressed Size876
Max. Term Depth22
Asserts 1
Declared Functions0
Declared Constants13
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and16 =>2 =2
exists1 let2 Real1 /1
+3 -1 *4 <1
<=6 >4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01594 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.02925 0.02499
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02585 0.01800
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00904 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01324 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01331 0.01100
Z3 z3 4.4.0 default unsat ✅ 0.04161 0.04199
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01361 0.01412
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.06258 0.06308
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.07807 0.04043
Z3 z3-4.4.1 default unsat ✅ 0.04038 0.04162
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01535 0.01551
Redlog Redlog default unsat ✅ 0.15237 0.15274
Vampire vampire4.2-smt vampire unsat ✅ 0.04014 0.04041
veriT veriT+Redlog_20170618 default unsat ✅ 0.14902 0.14894
Z3 z3-4.5.0 default unsat ✅ 0.04254 0.04179
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01923 0.01940
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.70086 2.56000
Z3 z3-4.7.1_default unsat ✅ 0.04768 0.04763
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02063 0.02100
Par4 Par4-wrapped-sq_default unsat ✅ 0.02763 0.00575
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.37289 3.41148
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.43218 3.38000
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.11514 0.11337
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.19590 0.26470
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04485 0.04478
z3-4.7.1_default unsat ✅ 0.04605 0.04603
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01998 0.02027
Par4 Par4-wrapped-sq_default unsat ✅ 0.02988 0.00631
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.53853 3.56480
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05751 0.05734
Z3 z3-4.8.8_default unsat ✅ 0.03436 0.03431
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02024 0.02051
cvc5 cvc5-fixed_default unsat ✅ 0.02329 0.02382
Par4 Par4-wrapped-sq_default unsat ✅ 0.02950 0.00611
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.89100 4.92927
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.12822 0.12808
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03239 0.03238
Z3 z3-4.8.11_default unsat ✅ 0.01802 0.01795
z3-4.8.8_default unsat ✅ 0.03732 0.03728
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02971 0.03026
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.83228 4.85725
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10276 0.10115
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03263 0.03262
Z3 z3-4.8.17_default unsat ✅ 0.01910 0.02083
z3-4.8.11_default unsat ✅ 0.01889 0.01885
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02304 0.02356
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65258 1.00000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.05086 5.13946
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06892 0.06889
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03161 0.03162
Z3 z3-4.8.11_default unsat ✅ 0.01865 0.01862
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.33976 0.15089
iProver iProver v3.9 unsat ✅ 0.86015 1.59537
SMTInterpol SMTInterpol unsat ✅ 0.51913 0.70033
SMT-RAT SMT-RAT unsat ✅ 0.22135 0.12155
YicesQS YicesQS unsat ✅ 0.26065 0.15917
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29857 0.17170
iProver iProver v3.9.3 unsat ✅ 0.88545 1.68712
SMTInterpol SMTInterpol unsat ✅ 0.52702 0.65109
SMT-RAT SMT-RAT unsat ✅ 0.25313 0.13644
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.19877 4.74116
YicesQS YicesQS unsat ✅ 0.30276 0.17950
Z3alpha Z3-alpha unsat ✅ 0.38915 0.27480
Z3 Z3-alpha-base unsat ✅ 0.32108 0.18692