Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node32249.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 32249 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
Size1911
Compressed Size853
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 1903
Compressed Size858
Max. Term Depth20
Asserts 1
Declared Functions0
Declared Constants12
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and15 =>2
=3 exists1 let1 Real1
/1 +3 *4 <=7
>4 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00895 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03637 0.02499
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02252 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00850 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01314 0.01000
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01280 0.01000
Z3 z3 4.4.0 default unsat ✅ 0.04161 0.04199
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01245 0.01275
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.06537 0.06592
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.07698 0.04129
Z3 z3-4.4.1 default unsat ✅ 0.03916 0.04104
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01515 0.01365
Redlog Redlog default unsat ✅ 0.15271 0.15436
Vampire vampire4.2-smt vampire unsat ✅ 0.04113 0.04048
veriT veriT+Redlog_20170618 default unsat ✅ 0.14866 0.14649
Z3 z3-4.5.0 default unsat ✅ 0.04274 0.04213
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02106 0.02121
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.88520 3.19000
Z3 z3-4.7.1_default unsat ✅ 0.04054 0.04044
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02067 0.02103
Par4 Par4-wrapped-sq_default unsat ✅ 0.03227 0.00699
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.38290 3.47240
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.55365 3.47429
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.08605 0.08218
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.73600 2.79000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.05176 0.05178
z3-4.7.1_default unsat ✅ 0.05017 0.05013
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.02009 0.02023
Par4 Par4-wrapped-sq_default unsat ✅ 0.03151 0.00615
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.38672 3.49025
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05195 0.05165
Z3 z3-4.8.8_default unsat ✅ 0.03354 0.03351
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02157 0.02187
cvc5 cvc5-fixed_default unsat ✅ 0.02331 0.02386
Par4 Par4-wrapped-sq_default unsat ✅ 0.03353 0.00628
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.95407 5.04898
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.10243 0.10388
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03241 0.03242
Z3 z3-4.8.11_default unsat ✅ 0.01912 0.01906
z3-4.8.8_default unsat ✅ 0.03447 0.03442
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02946 0.03001
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.83883 4.87877
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10163 0.09879
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03163 0.03167
Z3 z3-4.8.17_default unsat ✅ 0.01954 0.02131
z3-4.8.11_default unsat ✅ 0.01868 0.01862
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02328 0.02381
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65121 1.02000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.85645 4.96689
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06908 0.06902
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04005 0.04006
Z3 z3-4.8.11_default unsat ✅ 0.01854 0.01850
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22737 0.12746
iProver iProver v3.9 unsat ✅ 0.88995 1.57740
SMTInterpol SMTInterpol unsat ✅ 0.54523 0.70313
SMT-RAT SMT-RAT unsat ✅ 0.22919 0.12974
YicesQS YicesQS unsat ✅ 0.23081 0.13112
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29523 0.17402
iProver iProver v3.9.3 unsat ✅ 0.86349 1.50734
SMTInterpol SMTInterpol unsat ✅ 0.52930 0.65651
SMT-RAT SMT-RAT unsat ✅ 0.28369 0.16183
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.21154 4.83090
YicesQS YicesQS unsat ✅ 0.31096 0.18051
Z3alpha Z3-alpha unsat ✅ 0.39741 0.27932
Z3 Z3-alpha-base unsat ✅ 0.31676 0.18570