Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node29839.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 29839 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
Size2266
Compressed Size930
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 2258
Compressed Size946
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
/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 ❌ 0.01633 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.21693 0.19897
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.16621 0.15798
SMT-COMP 2015 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00875 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.74000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.50200 360.65800
Z3 z3 4.4.0 default unknown ❌ 0.08873 0.08899
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.20699 0.20754
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.35435 0.35640
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.42085 0.44509
Z3 z3-4.4.1 default unsat ✅ 0.07564 0.07684
SMT-COMP 2017 0.20 (4/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 303.63400 300.42400
Redlog Redlog default unsat ✅ 0.17731 0.17767
Vampire vampire4.2-smt vampire unsat ✅ 1.41862 5.44000
veriT veriT+Redlog_20170618 default unsat ✅ 0.22794 0.23174
Z3 z3-4.5.0 default unsat ✅ 0.04665 0.04579
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.14329 0.14347
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 1031.66000 4213.19000
Z3 z3-4.7.1_default unsat ✅ 0.06800 0.06789
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.13221 0.13253
Par4 Par4-wrapped-sq_default unsat ✅ 0.06833 0.00565
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.35127 3.51897
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.31752 3.41053
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 1.92752 7.50000
vampire-4.3-smt_vampire_smtcomp unsat ✅ 1060.20000 4211.93000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.08986 0.08982
z3-4.7.1_default unsat ✅ 0.06283 0.06276
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.09407 0.09438
Par4 Par4-wrapped-sq_default unsat ✅ 0.09232 0.00632
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.30667 3.54646
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 28.45450 43.84000
Z3 z3-4.8.8_default unsat ✅ 0.03694 0.03690
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.09433 0.09465
cvc5 cvc5-fixed_default unsat ✅ 0.12971 0.13008
Par4 Par4-wrapped-sq_default unsat ✅ 0.11806 0.00613
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.80000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.21040 0.20990
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03902 0.03907
Z3 z3-4.8.11_default unsat ✅ 0.02210 0.02208
z3-4.8.8_default unsat ✅ 0.03711 0.03709
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.07308 0.07361
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.04000 1203.72000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.25268 0.25266
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03720 0.03720
Z3 z3-4.8.17_default unsat ✅ 0.02301 0.02475
z3-4.8.11_default unsat ✅ 0.02158 0.02153
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.06168 0.05950
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65292 1.97000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.01384 5.17122
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.20740 0.11586
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04632 0.04637
Z3 z3-4.8.11_default unsat ✅ 0.02077 0.02069
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.24050 0.14024
iProver iProver v3.9 unsat ✅ 15.46359 53.88678
SMTInterpol SMTInterpol unknown ❌ 0.54420 0.91872
SMT-RAT SMT-RAT unsat ✅ 0.53690 0.43736
YicesQS YicesQS unsat ✅ 0.24321 0.13835
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.31386 0.18648
iProver iProver v3.9.3 unsat ✅ 13.45339 45.11315
SMTInterpol SMTInterpol unknown ❌ 0.59165 0.90306
SMT-RAT SMT-RAT unsat ✅ 0.26213 0.14602
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.79341 1204.85503
YicesQS YicesQS unsat ✅ 0.28316 0.16300
Z3alpha Z3-alpha unsat ✅ 0.39690 0.28869
Z3 Z3-alpha-base unsat ✅ 0.27643 0.15973