Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node16159.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 16159 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
Size2201
Compressed Size911
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 2193
Compressed Size918
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 or1 and16 =>2
=2 exists1 let2 Real1
/2 +5 -1 *10
<3 <=6 >4 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01640 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.12112 0.10498
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02678 0.02600
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00866 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.95000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.26700 360.37000
Z3 z3 4.4.0 default unsat ✅ 0.12369 0.12398
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.07744 0.07793
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.09445 0.09517
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.17138 0.17272
Z3 z3-4.4.1 default unsat ✅ 0.13705 0.13839
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 1.54267 1.54204
Redlog Redlog default unsat ✅ 0.16783 0.16956
Vampire vampire4.2-smt vampire unsat ✅ 0.10012 0.17420
veriT veriT+Redlog_20170618 default unsat ✅ 0.26091 0.26591
Z3 z3-4.5.0 default unsat ✅ 0.04243 0.04171
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.10581 0.10592
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 799.12700 3179.62000
Z3 z3-4.7.1_default unsat ✅ 0.04169 0.04162
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.12971 0.13002
Par4 Par4-wrapped-sq_default unsat ✅ 0.04680 0.00603
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.34220 3.51593
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.50694 3.46981
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 1.75187 6.83000
vampire-4.3-smt_vampire_smtcomp unsat ✅ 813.65800 3233.48000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04082 0.04083
z3-4.7.1_default unsat ✅ 0.03999 0.03992
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.14235 0.14263
Par4 Par4-wrapped-sq_default unsat ✅ 0.04749 0.00717
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.38949 3.50982
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.88404 2.59268
Z3 z3-4.8.8_default unsat ✅ 0.03814 0.03808
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.09084 0.09112
cvc5 cvc5-fixed_default unsat ✅ 0.12036 0.12083
Par4 Par4-wrapped-sq_default unsat ✅ 0.05077 0.00758
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.00940 4.94063
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.23315 0.23595
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03652 0.03657
Z3 z3-4.8.11_default unsat ✅ 0.02179 0.02172
z3-4.8.8_default unsat ✅ 0.03754 0.03735
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.12813 0.12714
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.03000 1203.99000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.21379 0.12336
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04615 0.04619
Z3 z3-4.8.17_default unsat ✅ 0.02147 0.02319
z3-4.8.11_default unsat ✅ 0.02046 0.02042
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.06124 0.06181
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65315 2.00169
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.04000 1203.76000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.17257 0.12337
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03613 0.03617
Z3 z3-4.8.11_default unsat ✅ 0.01905 0.01901
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.23881 0.13927
iProver iProver v3.9 unsat ✅ 11.89541 40.38836
SMTInterpol SMTInterpol unknown ❌ 0.55298 0.89131
SMT-RAT SMT-RAT unsat ✅ 0.23301 0.13273
YicesQS YicesQS unsat ✅ 0.26421 0.13952
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.31769 0.18597
iProver iProver v3.9.3 unsat ✅ 12.43245 43.03359
SMTInterpol SMTInterpol unknown ❌ 0.61146 0.88881
SMT-RAT SMT-RAT unsat ✅ 0.27009 0.15468
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.76955 1204.51648
YicesQS YicesQS unsat ✅ 0.30151 0.18104
Z3alpha Z3-alpha unsat ✅ 0.39875 0.28978
Z3 Z3-alpha-base unsat ✅ 0.30313 0.18452