Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node48386.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 48386 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
Size2071
Compressed Size882
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 2063
Compressed Size886
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 /2
+4 -1 *5 <=6
>5 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01634 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.06906 0.05199
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02475 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00855 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01383 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01355 0.01100
Z3 z3 4.4.0 default unsat ✅ 0.19026 0.18997
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01363 0.01406
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05482 0.05526
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.09712 0.04193
Z3 z3-4.4.1 default unsat ✅ 0.03965 0.04092
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01633 0.01495
Redlog Redlog default unsat ✅ 0.15349 0.15423
Vampire vampire4.2-smt vampire unsat ✅ 0.04413 0.04351
veriT veriT+Redlog_20170618 default unsat ✅ 0.14743 0.14853
Z3 z3-4.5.0 default unsat ✅ 0.04378 0.04309
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01923 0.01945
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 5.00513 19.59000
Z3 z3-4.7.1_default unsat ✅ 0.05910 0.05900
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02108 0.02143
Par4 Par4-wrapped-sq_default unsat ✅ 0.02858 0.00597
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.39177 3.43506
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.30605 3.47843
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.16820 0.18387
vampire-4.3-smt_vampire_smtcomp unsat ✅ 220.83000 877.41000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.05652 0.05649
z3-4.7.1_default unsat ✅ 0.05430 0.05422
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.02038 0.02065
Par4 Par4-wrapped-sq_default unsat ✅ 0.03098 0.00682
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.37237 3.48992
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.10637 0.05258
Z3 z3-4.8.8_default unsat ✅ 0.03421 0.03416
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02109 0.02138
cvc5 cvc5-fixed_default unsat ✅ 0.02487 0.02519
Par4 Par4-wrapped-sq_default unsat ✅ 0.04585 0.01134
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.94643 5.03119
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05896 0.05858
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.04111 0.04116
Z3 z3-4.8.11_default unsat ✅ 0.02893 0.02848
z3-4.8.8_default unsat ✅ 0.03448 0.03444
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03403 0.03225
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.30483 5.21225
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.16983 0.16922
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03290 0.03292
Z3 z3-4.8.17_default unsat ✅ 0.01927 0.02102
z3-4.8.11_default unsat ✅ 0.02551 0.01955
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02466 0.02522
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65133 1.04000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.12079 5.23540
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06313 0.06283
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03277 0.03282
Z3 z3-4.8.11_default unsat ✅ 0.01964 0.01956
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22929 0.12795
iProver iProver v3.9 unsat ✅ 0.86551 1.79379
SMTInterpol SMTInterpol unsat ✅ 0.53051 0.74024
SMT-RAT SMT-RAT unsat ✅ 0.29732 0.19750
YicesQS YicesQS unsat ✅ 0.23263 0.13307
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29967 0.17568
iProver iProver v3.9.3 unsat ✅ 0.89540 1.60853
SMTInterpol SMTInterpol unsat ✅ 0.55839 0.69509
SMT-RAT SMT-RAT unsat ✅ 0.25952 0.14242
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.33674 4.89551
YicesQS YicesQS unsat ✅ 0.26997 0.14963
Z3alpha Z3-alpha unsat ✅ 0.39398 0.27605
Z3 Z3-alpha-base unsat ✅ 0.31981 0.19337