Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node11126.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 11126 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
Size1958
Compressed Size852
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 1950
Compressed Size855
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
-1 *2 <2 <=6
>3 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01615 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.07445 0.05899
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.01931 0.01900
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00873 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01260 0.01000
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01260 0.01000
Z3 z3 4.4.0 default unsat ✅ 0.04062 0.03999
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01202 0.01222
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05392 0.05452
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.07708 0.04062
Z3 z3-4.4.1 default unsat ✅ 0.03909 0.04036
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01358 0.01319
Redlog Redlog default unsat ✅ 0.15147 0.15168
Vampire vampire4.2-smt vampire unsat ✅ 0.04312 0.04320
veriT veriT+Redlog_20170618 default unsat ✅ 0.14641 0.14669
Z3 z3-4.5.0 default unsat ✅ 0.04299 0.04122
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01692 0.01715
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.60498 2.28000
Z3 z3-4.7.1_default unsat ✅ 0.03726 0.03715
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.01934 0.01968
Par4 Par4-wrapped-sq_default unsat ✅ 0.02657 0.00605
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.46798 3.42017
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.51275 3.46467
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.32149 0.69615
vampire-4.3-smt_vampire_smtcomp unsat ✅ 4.40368 17.31000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.03865 0.03863
z3-4.7.1_default unsat ✅ 0.03741 0.03736
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01838 0.01865
Par4 Par4-wrapped-sq_default unsat ✅ 0.03333 0.00592
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.39557 3.48502
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05723 0.05704
Z3 z3-4.8.8_default unsat ✅ 0.03344 0.03340
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.01925 0.01957
cvc5 cvc5-fixed_default unsat ✅ 0.02228 0.02272
Par4 Par4-wrapped-sq_default unsat ✅ 0.02836 0.00653
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.97431 5.96869
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.13925 0.14133
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.05047 0.05049
Z3 z3-4.8.11_default unsat ✅ 0.02508 0.01947
z3-4.8.8_default unsat ✅ 0.04868 0.04829
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02775 0.02824
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.88559 4.93100
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.12715 0.12716
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04544 0.04549
Z3 z3-4.8.17_default unsat ✅ 0.01892 0.02073
z3-4.8.11_default unsat ✅ 0.01836 0.01833
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02271 0.02316
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65181 1.10000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.97929 4.98831
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06316 0.06278
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04668 0.04673
Z3 z3-4.8.11_default unsat ✅ 0.01850 0.01848
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22828 0.12840
iProver iProver v3.9 unsat ✅ 0.84201 1.40913
SMTInterpol SMTInterpol unsat ✅ 0.49263 0.64873
SMT-RAT SMT-RAT unsat ✅ 0.21705 0.11738
YicesQS YicesQS unsat ✅ 0.24200 0.14219
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.27895 0.15803
iProver iProver v3.9.3 unsat ✅ 0.88474 1.54983
SMTInterpol SMTInterpol unsat ✅ 0.55734 0.67416
SMT-RAT SMT-RAT unsat ✅ 0.27495 0.15413
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.12108 4.73069
YicesQS YicesQS unsat ✅ 0.31593 0.18584
Z3alpha Z3-alpha unsat ✅ 0.39854 0.28198
Z3 Z3-alpha-base unsat ✅ 0.31110 0.18839