Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node38396.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 38396 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
Size2241
Compressed Size929
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 2233
Compressed Size945
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 ❌ 0.01629 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.21629 0.20097
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.18880 0.17997
SMT-COMP 2015 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00865 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.84000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.51700 360.64800
Z3 z3 4.4.0 default unknown ❌ 0.35566 0.35595
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.22201 0.22263
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.31370 0.31546
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.37945 0.38264
Z3 z3-4.4.1 default unsat ✅ 0.08176 0.08306
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 4.86126 4.86074
Redlog Redlog default unsat ✅ 0.17161 0.17217
Vampire vampire4.2-smt vampire unsat ✅ 1.31289 4.96000
veriT veriT+Redlog_20170618 default unsat ✅ 0.22420 0.22784
Z3 z3-4.5.0 default unsat ✅ 0.04725 0.04602
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.14281 0.14305
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 1002.31000 3986.48000
Z3 z3-4.7.1_default unsat ✅ 0.18945 0.18920
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.15237 0.15272
Par4 Par4-wrapped-sq_default unsat ✅ 0.06836 0.00611
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.51403 3.47057
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.43915 3.38547
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 39.04420 154.83000
vampire-4.3-smt_vampire_smtcomp unsat ✅ 1022.93000 4058.25000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.09297 0.09298
z3-4.7.1_default unsat ✅ 0.06011 0.06006
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.14504 0.14532
Par4 Par4-wrapped-sq_default unsat ✅ 0.11211 0.00629
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.32817 3.57491
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 1.07909 2.98404
Z3 z3-4.8.8_default unsat ✅ 0.04008 0.04005
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.14713 0.14746
cvc5 cvc5-fixed_default unsat ✅ 0.10713 0.10773
Par4 Par4-wrapped-sq_default unsat ✅ 0.16144 0.00624
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.08000 1203.70000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.31370 0.16683
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03642 0.03644
Z3 z3-4.8.11_default unsat ✅ 0.02219 0.02216
z3-4.8.8_default unsat ✅ 0.03700 0.03697
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.07093 0.07148
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.03000 1203.77000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.29535 0.24327
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03521 0.03522
Z3 z3-4.8.17_default unsat ✅ 0.02149 0.02324
z3-4.8.11_default unsat ✅ 0.02149 0.02142
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.04719 0.04775
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65116 1.98360
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.04000 1204.01000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.24566 0.13897
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03631 0.03633
Z3 z3-4.8.11_default unsat ✅ 0.02035 0.02030
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.23932 0.13692
iProver iProver v3.9 unsat ✅ 13.40949 47.84219
SMTInterpol SMTInterpol unknown ❌ 0.55804 0.94956
SMT-RAT SMT-RAT unsat ✅ 0.50419 0.40436
YicesQS YicesQS unsat ✅ 0.25122 0.15091
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.32307 0.19508
iProver iProver v3.9.3 unsat ✅ 16.48046 58.15619
SMTInterpol SMTInterpol unknown ❌ 0.57449 0.85464
SMT-RAT SMT-RAT unsat ✅ 0.29112 0.16501
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.78912 1204.49292
YicesQS YicesQS unsat ✅ 0.29683 0.17537
Z3alpha Z3-alpha unsat ✅ 0.38271 0.27824
Z3 Z3-alpha-base unsat ✅ 0.31090 0.18579