Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node21498.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 21498 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
Size2001
Compressed Size862
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 1993
Compressed Size863
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 /1
+3 *4 <1 <=7
>4 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01639 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03770 0.02499
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 0.02906 0.02100
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00861 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01330 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01316 0.01100
Z3 z3 4.4.0 default unknown ❌ 0.04748 0.04699
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01329 0.01348
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.06008 0.06049
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.09071 0.04077
Z3 z3-4.4.1 default unsat ✅ 0.04764 0.04882
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01558 0.01511
Redlog Redlog default unsat ✅ 0.15161 0.15248
Vampire vampire4.2-smt vampire unsat ✅ 0.04057 0.03871
veriT veriT+Redlog_20170618 default unsat ✅ 0.14724 0.14769
Z3 z3-4.5.0 default unsat ✅ 0.04081 0.04073
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02140 0.02159
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.00628 3.71000
Z3 z3-4.7.1_default unsat ✅ 0.04310 0.04299
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02123 0.02157
Par4 Par4-wrapped-sq_default unsat ✅ 0.03037 0.00590
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.47183 3.42816
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.38753 3.46899
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.29941 0.43832
vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.99351 7.56000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04402 0.04403
z3-4.7.1_default unsat ✅ 0.04374 0.04365
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01994 0.02022
Par4 Par4-wrapped-sq_default unsat ✅ 0.03434 0.00649
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.41256 3.53488
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.10752 0.05764
Z3 z3-4.8.8_default unsat ✅ 0.03401 0.03397
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02071 0.02102
cvc5 cvc5-fixed_default unsat ✅ 0.02342 0.02395
Par4 Par4-wrapped-sq_default unsat ✅ 0.04814 0.01092
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.96868 5.42748
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05831 0.05750
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.04439 0.04440
Z3 z3-4.8.11_default unsat ✅ 0.01870 0.01866
z3-4.8.8_default unsat ✅ 0.03438 0.03434
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03014 0.03071
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.01202 5.26402
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10293 0.10067
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03136 0.03140
Z3 z3-4.8.17_default unsat ✅ 0.01916 0.02095
z3-4.8.11_default unsat ✅ 0.01764 0.01760
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02351 0.02403
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65105 1.05253
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.95210 5.15131
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06470 0.06443
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03838 0.03840
Z3 z3-4.8.11_default unsat ✅ 0.01841 0.01838
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.26456 0.15651
iProver iProver v3.9 unsat ✅ 0.85942 1.61450
SMTInterpol SMTInterpol unsat ✅ 0.50369 0.68943
SMT-RAT SMT-RAT unsat ✅ 0.23046 0.13082
YicesQS YicesQS unsat ✅ 0.23532 0.13584
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.30556 0.17733
iProver iProver v3.9.3 unsat ✅ 0.89132 1.49887
SMTInterpol SMTInterpol unsat ✅ 0.54220 0.68034
SMT-RAT SMT-RAT unsat ✅ 0.29589 0.16796
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.15306 4.42456
YicesQS YicesQS unsat ✅ 0.31616 0.19070
Z3alpha Z3-alpha unsat ✅ 0.39138 0.27975
Z3 Z3-alpha-base unsat ✅ 0.30062 0.17811