Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node3891.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 3891 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
Size2228
Compressed Size914
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 2220
Compressed Size927
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 or2 and16 =>2
=3 exists1 let2 Real1
/2 +5 -1 *10
<3 <=6 >4 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.01671 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.11819 0.09898
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 0.02608 0.01800
SMT-COMP 2015 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00856 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.89000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.26200 360.39400
Z3 z3 4.4.0 default unknown ❌ 0.04536 0.04499
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.08161 0.08214
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.08499 0.08478
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.13939 0.19734
Z3 z3-4.4.1 default unsat ✅ 0.17810 0.17942
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 70.64140 70.57470
Redlog Redlog default unsat ✅ 0.17486 0.17526
Vampire vampire4.2-smt vampire unsat ✅ 0.09920 0.17513
veriT veriT+Redlog_20170618 default unsat ✅ 0.23835 0.24319
Z3 z3-4.5.0 default unsat ✅ 0.04296 0.04221
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.10954 0.10971
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 841.38700 3345.86000
Z3 z3-4.7.1_default unsat ✅ 0.04102 0.04092
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.13354 0.13389
Par4 Par4-wrapped-sq_default unsat ✅ 0.05557 0.00640
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.36072 3.47136
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.43965 3.51150
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 32.41490 128.36000
vampire-4.3-smt_vampire_smtcomp unsat ✅ 863.10900 3426.01000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04118 0.04119
z3-4.7.1_default unsat ✅ 0.03992 0.03987
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.12925 0.12957
Par4 Par4-wrapped-sq_default unsat ✅ 0.04700 0.00608
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.32320 3.46829
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 1.01421 2.73002
Z3 z3-4.8.8_default unsat ✅ 0.03709 0.03705
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.10707 0.10739
cvc5 cvc5-fixed_default unsat ✅ 0.15892 0.15944
Par4 Par4-wrapped-sq_default unsat ✅ 0.04982 0.00664
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.11356 5.23278
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.33791 0.34142
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.04592 0.04596
Z3 z3-4.8.11_default unsat ✅ 0.02174 0.02169
z3-4.8.8_default unsat ✅ 0.03727 0.03725
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.07458 0.07517
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.11000 1203.63000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.11821 0.11812
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04722 0.04725
Z3 z3-4.8.17_default unsat ✅ 0.02082 0.02227
z3-4.8.11_default unsat ✅ 0.02017 0.02012
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.04407 0.04462
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65072 1.96000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.93329 5.12242
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.13336 0.13318
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04606 0.04608
Z3 z3-4.8.11_default unsat ✅ 0.01924 0.01919
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.23815 0.13873
iProver iProver v3.9 unsat ✅ 11.89852 40.32265
SMTInterpol SMTInterpol unknown ❌ 0.57638 0.89078
SMT-RAT SMT-RAT unsat ✅ 0.23085 0.13120
YicesQS YicesQS unsat ✅ 0.23594 0.13635
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.31210 0.18074
iProver iProver v3.9.3 unsat ✅ 15.49043 53.29159
SMTInterpol SMTInterpol unknown ❌ 0.55425 0.83307
SMT-RAT SMT-RAT unsat ✅ 0.27807 0.16169
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.78292 1204.39187
YicesQS YicesQS unsat ✅ 0.26908 0.15268
Z3alpha Z3-alpha unsat ✅ 0.40730 0.29701
Z3 Z3-alpha-base unsat ✅ 0.28215 0.16024