Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node23371.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 23371 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
Size2280
Compressed Size926
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 2272
Compressed Size937
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
/3 +6 -1 *11
<2 <=6 >5 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01649 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.21317 0.19697
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.01927 0.01900
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00854 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.99000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.46800 360.61100
Z3 z3 4.4.0 default unsat ✅ 0.04580 0.04599
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.20072 0.20196
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.07522 0.07561
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.08905 0.05990
Z3 z3-4.4.1 default unsat ✅ 0.04415 0.04539
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.17413 0.17449
Redlog Redlog default unsat ✅ 0.14928 0.14972
Vampire vampire4.2-smt vampire unsat ✅ 0.07894 0.07725
veriT veriT+Redlog_20170618 default unsat ✅ 0.14627 0.14767
Z3 z3-4.5.0 default unsat ✅ 0.04313 0.04261
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 2.12023 2.12008
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.10516 0.14604
Z3 z3-4.7.1_default unsat ✅ 0.04243 0.04237
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 1.35061 1.35093
Par4 Par4-wrapped-sq_default unsat ✅ 0.05123 0.00573
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.33942 3.52366
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.51510 3.50025
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.10722 0.10176
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.08145 0.11329
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04427 0.04428
z3-4.7.1_default unsat ✅ 0.04339 0.04332
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 1.42609 1.42620
Par4 Par4-wrapped-sq_default unsat ✅ 0.04887 0.00579
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.43430 3.52627
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.09995 0.09834
Z3 z3-4.8.8_default unsat ✅ 0.03387 0.03381
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 2.77832 2.77412
cvc5 cvc5-fixed_default unsat ✅ 1.81948 1.82001
Par4 Par4-wrapped-sq_default unsat ✅ 0.05206 0.00762
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.11000 1203.81000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.11222 0.11156
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.04739 0.04741
Z3 z3-4.8.11_default unsat ✅ 0.01809 0.01789
z3-4.8.8_default unsat ✅ 0.03415 0.03410
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.12027 0.12085
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.04000 1203.87000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.16091 0.09243
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04323 0.04323
Z3 z3-4.8.17_default unsat ✅ 0.01937 0.02109
z3-4.8.11_default unsat ✅ 0.01843 0.01839
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.07836 0.07878
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65172 2.01620
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.06000 1203.95000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.11189 0.10986
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04492 0.04496
Z3 z3-4.8.11_default unsat ✅ 0.01847 0.01843
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.25909 0.15948
iProver iProver v3.9 unsat ✅ 0.84744 1.22902
SMTInterpol SMTInterpol unknown ❌ 0.56278 0.93684
SMT-RAT SMT-RAT unsat ✅ 0.27647 0.17699
YicesQS YicesQS unsat ✅ 0.26685 0.16752
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.28761 0.16082
iProver iProver v3.9.3 unsat ✅ 0.89326 1.18976
SMTInterpol SMTInterpol unknown ❌ 0.57821 0.87724
SMT-RAT SMT-RAT unsat ✅ 0.29933 0.16890
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.79630 1204.65915
YicesQS YicesQS unsat ✅ 0.26865 0.15173
Z3alpha Z3-alpha unsat ✅ 0.40428 0.31862
Z3 Z3-alpha-base unsat ✅ 0.34522 0.21205