Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node11162.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 11162 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
Size2201
Compressed Size916
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 2193
Compressed Size925
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 or1 and16 =>2
=2 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 ❌ 0.01658 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.11772 0.09998
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 0.01848 0.01800
SMT-COMP 2015 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00855 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.96000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.31700 360.37000
Z3 z3 4.4.0 default unknown ❌ 0.11452 0.11498
SMT-COMP 2016 0.67 (1/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.07947 0.07994
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.08179 0.08254
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.36942 0.30794
Z3 z3-4.4.1 default unknown ❌ 0.18070 0.18206
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 1.50458 1.50383
Redlog Redlog default unsat ✅ 0.17295 0.17381
Vampire vampire4.2-smt vampire unsat ✅ 0.10531 0.18100
veriT veriT+Redlog_20170618 default unsat ✅ 0.26011 0.26534
Z3 z3-4.5.0 default unsat ✅ 0.04329 0.04233
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.10967 0.10992
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 840.11200 3341.31000
Z3 z3-4.7.1_default unsat ✅ 0.03963 0.03959
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.12601 0.12623
Par4 Par4-wrapped-sq_default unsat ✅ 0.04981 0.00914
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.40043 3.39159
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.50043 3.46287
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 1.47725 5.57000
vampire-4.3-smt_vampire_smtcomp unsat ✅ 817.62400 3248.72000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04092 0.04091
z3-4.7.1_default unsat ✅ 0.04005 0.04001
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.14145 0.14159
Par4 Par4-wrapped-sq_default unsat ✅ 0.04834 0.00688
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.33416 3.58427
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.74065 2.27000
Z3 z3-4.8.8_default unsat ✅ 0.03649 0.03645
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.09066 0.09098
cvc5 cvc5-fixed_default unsat ✅ 0.12044 0.12085
Par4 Par4-wrapped-sq_default unsat ✅ 0.05083 0.00657
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.18281 5.17785
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.29505 0.29559
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03757 0.03760
Z3 z3-4.8.11_default unsat ✅ 0.02180 0.02166
z3-4.8.8_default unsat ✅ 0.03720 0.03717
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.07329 0.07388
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.00325 5.07721
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.16948 0.16659
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03686 0.03692
Z3 z3-4.8.17_default unsat ✅ 0.02017 0.02196
z3-4.8.11_default unsat ✅ 0.02002 0.01998
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.04388 0.04444
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65119 1.97000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.02277 5.10537
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.13977 0.13787
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03649 0.03654
Z3 z3-4.8.11_default unsat ✅ 0.02019 0.02016
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.24523 0.14365
iProver iProver v3.9 unsat ✅ 11.91743 40.43771
SMTInterpol SMTInterpol unknown ❌ 0.55618 0.87877
SMT-RAT SMT-RAT unsat ✅ 0.22667 0.12707
YicesQS YicesQS unsat ✅ 0.23785 0.13679
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.30484 0.18394
iProver iProver v3.9.3 unsat ✅ 12.44621 40.62672
SMTInterpol SMTInterpol unknown ❌ 0.55722 0.80129
SMT-RAT SMT-RAT unsat ✅ 0.29157 0.16097
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.79357 1204.67541
YicesQS YicesQS unsat ✅ 0.28581 0.17030
Z3alpha Z3-alpha unsat ✅ 0.41329 0.32334
Z3 Z3-alpha-base unsat ✅ 0.28088 0.16282