Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node14168.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 14168 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
Size1931
Compressed Size841
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 1923
Compressed Size844
Max. Term Depth21
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 let1 Real1 +2
*2 <2 <=7 >3
>=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.01626 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.07610 0.05899
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 0.02626 0.01800
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00898 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01222 0.01000
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01230 0.01000
Z3 z3 4.4.0 default unknown ❌ 0.04052 0.03999
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01188 0.01204
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.06374 0.06427
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.07656 0.04033
Z3 z3-4.4.1 default unknown ❌ 0.04040 0.04163
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01591 0.01431
Redlog Redlog default unsat ✅ 0.15048 0.15183
Vampire vampire4.2-smt vampire unsat ✅ 0.04874 0.04816
veriT veriT+Redlog_20170618 default unsat ✅ 0.14692 0.14742
Z3 z3-4.5.0 default unsat ✅ 0.04240 0.04118
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01751 0.01773
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.95595 3.44000
Z3 z3-4.7.1_default unsat ✅ 0.03714 0.03709
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.01980 0.02016
Par4 Par4-wrapped-sq_default unsat ✅ 0.02709 0.00558
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.38941 3.46678
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.41263 3.38670
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.29165 0.53765
vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.04111 3.94000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.03873 0.03870
z3-4.7.1_default unsat ✅ 0.03783 0.03774
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01893 0.01922
Par4 Par4-wrapped-sq_default unsat ✅ 0.03095 0.00629
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.32576 3.49214
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05500 0.05475
Z3 z3-4.8.8_default unsat ✅ 0.03393 0.03389
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.01961 0.01994
cvc5 cvc5-fixed_default unsat ✅ 0.03700 0.03781
Par4 Par4-wrapped-sq_default unsat ✅ 0.03140 0.00630
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.89804 4.88603
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.09249 0.05702
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.05135 0.05138
Z3 z3-4.8.11_default unsat ✅ 0.01913 0.01910
z3-4.8.8_default unsat ✅ 0.03443 0.03437
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02780 0.02827
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.04465 4.91054
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.09844 0.10010
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04971 0.04860
Z3 z3-4.8.17_default unsat ✅ 0.01928 0.02102
z3-4.8.11_default unsat ✅ 0.01886 0.01882
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.04138 0.04240
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65167 0.81000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.02358 5.09739
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.10140 0.10025
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04548 0.04552
Z3 z3-4.8.11_default unsat ✅ 0.02052 0.01882
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.23064 0.12817
iProver iProver v3.9 unsat ✅ 0.83345 1.45055
SMTInterpol SMTInterpol unsat ✅ 0.59535 0.80649
SMT-RAT SMT-RAT unsat ✅ 0.22123 0.12153
YicesQS YicesQS unsat ✅ 0.26235 0.16198
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29613 0.17339
iProver iProver v3.9.3 unsat ✅ 0.86278 1.40881
SMTInterpol SMTInterpol unsat ✅ 0.52741 0.64924
SMT-RAT SMT-RAT unsat ✅ 0.29675 0.16555
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.08987 4.62095
YicesQS YicesQS unsat ✅ 0.29388 0.17427
Z3alpha Z3-alpha unsat ✅ 0.38874 0.27425
Z3 Z3-alpha-base unsat ✅ 0.29275 0.16881