Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node54870.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 54870 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
Size2497
Compressed Size979
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 2489
Compressed Size986
Max. Term Depth23
Asserts 1
Declared Functions0
Declared Constants13
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and18 =>2
=3 exists1 let1 Real1
/4 +11 *22 <2
<=6 >6 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01610 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.31324 0.22896
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02369 0.01600
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00868 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.62000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.98100 361.07500
Z3 z3 4.4.0 default unsat ✅ 18.26570 18.27020
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.27497 0.27571
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05117 0.05158
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.05997 0.05272
Z3 z3-4.4.1 default unsat ✅ 40.32250 40.34130
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.05619 0.05581
Redlog Redlog default unsat ✅ 0.14844 0.14918
Vampire vampire4.2-smt vampire unsat ✅ 0.06715 0.06598
veriT veriT+Redlog_20170618 default unsat ✅ 0.15165 0.14598
Z3 z3-4.5.0 default unsat ✅ 0.04647 0.04589
SMT-COMP 2018 0.33 (2/3) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02151 0.02169
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.15068 0.14718
Z3 z3-4.7.1_default unknown ❌ 1200.03000 1199.96000
SMT-COMP 2019 0.40 (3/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02724 0.02756
Par4 Par4-wrapped-sq_default unsat ✅ 0.04094 0.00639
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.44973 6.82651
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.39384 3.39945
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.11278 0.11172
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.10680 0.14892
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 2400.02000 2399.93000
z3-4.7.1_default unknown ❌ 2400.04000 2399.74000
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.02652 0.02684
Par4 Par4-wrapped-sq_default unsat ✅ 0.03469 0.00845
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.38582 3.49093
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.09129 0.09094
Z3 z3-4.8.8_default unsat ✅ 0.03446 0.03444
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02739 0.02770
cvc5 cvc5-fixed_default unsat ✅ 0.03100 0.03160
Par4 Par4-wrapped-sq_default unsat ✅ 0.03361 0.00630
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.05926 5.14781
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.10010 0.10121
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.04242 0.04241
Z3 z3-4.8.11_default unsat ✅ 0.02073 0.02064
z3-4.8.8_default unsat ✅ 0.03518 0.03514
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.04646 0.04707
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.06700 5.01219
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10265 0.09849
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04060 0.04066
Z3 z3-4.8.17_default unsat ✅ 0.02028 0.02204
z3-4.8.11_default unsat ✅ 0.01987 0.01984
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.03051 0.03108
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65107 0.65226
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.31115 5.62225
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.10484 0.10427
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03942 0.03945
Z3 z3-4.8.11_default unsat ✅ 0.01839 0.01837
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.26716 0.16102
iProver iProver v3.9 unsat ✅ 0.84080 1.85483
SMTInterpol SMTInterpol unknown ❌ 0.57212 0.89615
SMT-RAT SMT-RAT unsat ✅ 1.72618 1.62638
YicesQS YicesQS unsat ✅ 0.23562 0.13544
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.26026 0.14433
iProver iProver v3.9.3 unsat ✅ 0.89570 1.20641
SMTInterpol SMTInterpol unknown ❌ 0.65947 0.96577
SMT-RAT SMT-RAT unsat ✅ 0.27216 0.15412
UltimateEliminator UltimateEliminator+MathSAT unsat ✅ 2.04131 4.45871
YicesQS YicesQS unsat ✅ 0.27249 0.15409
Z3alpha Z3-alpha unsat ✅ 0.39048 0.28063
Z3 Z3-alpha-base unsat ✅ 0.31243 0.18747