Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node52405.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 52405 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
Size2071
Compressed Size881
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 2063
Compressed Size887
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
+4 -1 *5 <=6
>5 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01621 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.06462 0.05299
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02333 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00853 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01362 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01338 0.01100
Z3 z3 4.4.0 default unsat ✅ 0.18253 0.18197
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01635 0.01362
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05987 0.05785
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.16747 0.33000
Z3 z3-4.4.1 default unsat ✅ 0.05098 0.04096
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.02971 0.01865
Redlog Redlog default unsat ✅ 0.15306 0.15395
Vampire vampire4.2-smt vampire unsat ✅ 0.04167 0.04034
veriT veriT+Redlog_20170618 default unsat ✅ 0.41650 0.16277
Z3 z3-4.5.0 default unsat ✅ 0.13806 0.05147
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01889 0.01910
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 3.62922 14.00540
Z3 z3-4.7.1_default unsat ✅ 0.05888 0.05883
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02125 0.02161
Par4 Par4-wrapped-sq_default unsat ✅ 0.02533 0.00485
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.38262 3.48336
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.45733 3.46690
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.16657 0.18390
vampire-4.3-smt_vampire_smtcomp unsat ✅ 219.73300 873.09000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.05286 0.05281
z3-4.7.1_default unsat ✅ 0.05360 0.05354
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.03886 0.03898
Par4 Par4-wrapped-sq_default unsat ✅ 0.02996 0.00627
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.42973 3.57006
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05111 0.05095
Z3 z3-4.8.8_default unsat ✅ 0.03382 0.03377
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02218 0.02247
cvc5 cvc5-fixed_default unsat ✅ 0.02396 0.02451
Par4 Par4-wrapped-sq_default unsat ✅ 0.03219 0.00694
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.98280 5.41910
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05642 0.05633
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03250 0.03250
Z3 z3-4.8.11_default unsat ✅ 0.01925 0.01913
z3-4.8.8_default unsat ✅ 0.03459 0.03457
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03187 0.03224
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.04783 5.09969
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.18841 0.10336
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04320 0.04324
Z3 z3-4.8.17_default unsat ✅ 0.01957 0.02135
z3-4.8.11_default unsat ✅ 0.01952 0.01950
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02344 0.02394
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65072 1.04000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.07436 5.21667
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06375 0.06368
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03265 0.03267
Z3 z3-4.8.11_default unsat ✅ 0.01863 0.01860
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.23219 0.12683
iProver iProver v3.9 unsat ✅ 0.83826 1.82161
SMTInterpol SMTInterpol unsat ✅ 0.53511 0.75298
SMT-RAT SMT-RAT unsat ✅ 0.31761 0.21772
YicesQS YicesQS unsat ✅ 0.25020 0.15036
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29773 0.17020
iProver iProver v3.9.3 unsat ✅ 0.89431 1.89426
SMTInterpol SMTInterpol unsat ✅ 0.52919 0.64984
SMT-RAT SMT-RAT unsat ✅ 0.28990 0.16608
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.77233 1204.94320
YicesQS YicesQS unsat ✅ 0.30392 0.18176
Z3alpha Z3-alpha unsat ✅ 0.40662 0.28513
Z3 Z3-alpha-base unsat ✅ 0.31211 0.18255