Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node13822.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 13822 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 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 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 ❌ 0.01638 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.06859 0.05999
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02561 0.01800
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00866 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01232 0.01000
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01234 0.01000
Z3 z3 4.4.0 default unsat ✅ 0.03956 0.03899
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01314 0.01334
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05352 0.05411
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.07376 0.04011
Z3 z3-4.4.1 default unsat ✅ 0.03929 0.04055
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01412 0.01382
Redlog Redlog default unsat ✅ 0.15431 0.15515
Vampire vampire4.2-smt vampire unsat ✅ 0.04061 0.03879
veriT veriT+Redlog_20170618 default unsat ✅ 0.14649 0.14700
Z3 z3-4.5.0 default unsat ✅ 0.04414 0.04147
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01757 0.01777
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.63867 2.27000
Z3 z3-4.7.1_default unsat ✅ 0.03620 0.03617
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02007 0.02043
Par4 Par4-wrapped-sq_default unsat ✅ 0.02675 0.00585
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.26430 3.49859
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.25952 3.42419
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.39039 0.51480
vampire-4.3-smt_vampire_smtcomp unsat ✅ 7.24776 28.59000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.03863 0.03860
z3-4.7.1_default unsat ✅ 0.03755 0.03745
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01841 0.01871
Par4 Par4-wrapped-sq_default unsat ✅ 0.02973 0.00802
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.38416 3.50562
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.11518 0.06160
Z3 z3-4.8.8_default unsat ✅ 0.03343 0.03340
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.01958 0.01989
cvc5 cvc5-fixed_default unsat ✅ 0.02225 0.02278
Par4 Par4-wrapped-sq_default unsat ✅ 0.02793 0.00619
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.12683 4.98084
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.11537 0.11418
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.04995 0.04999
Z3 z3-4.8.11_default unsat ✅ 0.01895 0.01891
z3-4.8.8_default unsat ✅ 0.03408 0.03405
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02761 0.02809
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.06708 4.97117
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10202 0.10003
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04633 0.04636
Z3 z3-4.8.17_default unsat ✅ 0.03153 0.03422
z3-4.8.11_default unsat ✅ 0.01840 0.01833
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02180 0.02237
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65175 1.10913
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.99623 5.11791
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.10663 0.10817
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04764 0.04767
Z3 z3-4.8.11_default unsat ✅ 0.02003 0.01990
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22969 0.12669
iProver iProver v3.9 unsat ✅ 0.87045 1.50548
SMTInterpol SMTInterpol unsat ✅ 0.50078 0.65817
SMT-RAT SMT-RAT unsat ✅ 0.21695 0.11737
YicesQS YicesQS unsat ✅ 0.24204 0.14200
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29710 0.17040
iProver iProver v3.9.3 unsat ✅ 0.85246 1.56534
SMTInterpol SMTInterpol unsat ✅ 0.53870 0.66289
SMT-RAT SMT-RAT unsat ✅ 0.25252 0.13274
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.09793 4.62094
YicesQS YicesQS unsat ✅ 0.31007 0.18617
Z3alpha Z3-alpha unsat ✅ 0.39561 0.27962
Z3 Z3-alpha-base unsat ✅ 0.31861 0.19230