Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node31529.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 31529 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
Size2182
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 2174
Compressed Size920
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
=3 exists1 let2 Real1
/4 +7 -1 *9
<=6 >5 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00941 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.07223 0.05999
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02314 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00877 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01470 0.01200
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01457 0.01200
Z3 z3 4.4.0 default unsat ✅ 0.04352 0.04299
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01398 0.01448
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.06293 0.06528
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.09226 0.04283
Z3 z3-4.4.1 default unsat ✅ 0.04128 0.04250
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01661 0.01607
Redlog Redlog default unsat ✅ 0.15567 0.15585
Vampire vampire4.2-smt vampire unsat ✅ 0.04088 0.03996
veriT veriT+Redlog_20170618 default unsat ✅ 0.14785 0.14928
Z3 z3-4.5.0 default unsat ✅ 0.04659 0.04557
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02147 0.02172
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 13.43260 53.26000
Z3 z3-4.7.1_default unsat ✅ 0.13985 0.13974
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02240 0.02273
Par4 Par4-wrapped-sq_default unsat ✅ 0.03550 0.01115
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.43162 3.41002
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.39476 3.41726
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.23146 0.11285
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.78089 2.79000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.19085 0.19084
z3-4.7.1_default unsat ✅ 0.20150 0.20142
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.02084 0.02110
Par4 Par4-wrapped-sq_default unsat ✅ 0.03649 0.00608
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.34013 3.56912
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05726 0.05710
Z3 z3-4.8.8_default unsat ✅ 0.05501 0.05484
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.04124 0.04172
cvc5 cvc5-fixed_default unsat ✅ 0.02553 0.02606
Par4 Par4-wrapped-sq_default unsat ✅ 0.03235 0.00626
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.35764 6.02620
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.12404 0.06267
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03168 0.03169
Z3 z3-4.8.11_default unsat ✅ 0.02159 0.02153
z3-4.8.8_default unsat ✅ 0.03733 0.03732
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03304 0.03361
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.91726 4.94748
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10707 0.10519
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03257 0.03262
Z3 z3-4.8.17_default unsat ✅ 0.02235 0.02410
z3-4.8.11_default unsat ✅ 0.02202 0.02196
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02451 0.02507
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65163 1.07691
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.10000 1204.51000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06409 0.06185
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04174 0.04176
Z3 z3-4.8.11_default unsat ✅ 0.02106 0.02099
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.32276 0.15944
iProver iProver v3.9 unsat ✅ 1.33830 2.80641
SMTInterpol SMTInterpol unsat ✅ 0.54095 0.82473
SMT-RAT SMT-RAT unsat ✅ 0.40041 0.30048
YicesQS YicesQS unsat ✅ 0.26931 0.14364
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29316 0.17380
iProver iProver v3.9.3 unsat ✅ 1.35701 2.91134
SMTInterpol SMTInterpol unsat ✅ 0.57440 0.75323
SMT-RAT SMT-RAT unsat ✅ 0.26468 0.14319
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.78912 1204.66118
YicesQS YicesQS unsat ✅ 0.29045 0.17112
Z3alpha Z3-alpha unsat ✅ 0.39371 0.27774
Z3 Z3-alpha-base unsat ✅ 0.32130 0.19169