Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node28742.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 28742 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
Size2273
Compressed Size922
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 2265
Compressed Size930
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 and17 =>2
=4 exists1 let1 Real1
/3 +6 *11 <2
<=6 >5 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.02329 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.01820 0.00800
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02318 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00873 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01065 0.00700
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01100 0.00800
Z3 z3 4.4.0 default unsat ✅ 21.93250 21.93770
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01187 0.01204
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05086 0.05184
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.05283 0.05252
Z3 z3-4.4.1 default unsat ✅ 0.41038 0.41196
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01388 0.01306
Redlog Redlog default unsat ✅ 0.15100 0.15152
Vampire vampire4.2-smt vampire unsat ✅ 0.04371 0.04244
veriT veriT+Redlog_20170618 default unsat ✅ 0.14360 0.14604
Z3 z3-4.5.0 default unsat ✅ 0.04342 0.04223
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01247 0.01266
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.08326 0.14341
Z3 z3-4.7.1_default unsat ✅ 300.34500 300.33000
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.01678 0.01708
Par4 Par4-wrapped-sq_default unsat ✅ 0.02222 0.00594
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.37406 3.39865
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.42963 3.41338
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.10021 0.09875
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.08425 0.14668
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.06640 0.06640
z3-4.7.1_default unsat ✅ 0.06788 0.06784
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01629 0.01662
Par4 Par4-wrapped-sq_default unsat ✅ 0.02173 0.00569
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.35119 3.50181
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.08457 0.08559
Z3 z3-4.8.8_default unsat ✅ 0.05625 0.05555
SMT-COMP 2021 CVC4 CVC4-sq-final_default unsat ✅ 0.02669 0.02727
cvc5 cvc5-fixed_default unsat ✅ 0.02022 0.02078
Par4 Par4-wrapped-sq_default unsat ✅ 0.02418 0.00628
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unsat ✅ 2.88087 4.85495
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.06208 0.05502
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03352 0.03357
Z3 z3-4.8.11_default unsat ✅ 0.01872 0.01870
z3-4.8.8_default unsat ✅ 0.03574 0.03553
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02570 0.02626
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unsat ✅ 2.90464 9.42575
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.09443 0.09164
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03408 0.03413
Z3 z3-4.8.17_default unsat ✅ 0.01924 0.02098
z3-4.8.11_default unsat ✅ 0.01850 0.01846
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.01909 0.01963
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65459 0.31275
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unsat ✅ 3.05118 5.28257
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.05205 0.05198
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03376 0.03382
Z3 z3-4.8.11_default unsat ✅ 0.01946 0.01940
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22002 0.12069
iProver iProver v3.9 unsat ✅ 0.85087 0.43758
SMTInterpol SMTInterpol unsat ✅ 0.48702 0.64962
SMT-RAT SMT-RAT unsat ✅ 0.68951 0.58977
YicesQS YicesQS unsat ✅ 0.24455 0.14488
SMT-COMP 2025 cvc5 cvc5 unsat ✅ 0.29228 0.16821
iProver iProver v3.9.3 unsat ✅ 0.89840 0.45428
SMTInterpol SMTInterpol unsat ✅ 0.50390 0.63219
SMT-RAT SMT-RAT unsat ✅ 0.28285 0.15720
UltimateEliminator UltimateEliminator+MathSAT unsat ✅ 1.92266 4.14347
YicesQS YicesQS unsat ✅ 0.28829 0.16884
Z3alpha Z3-alpha unsat ✅ 0.38473 0.27408
Z3 Z3-alpha-base unsat ✅ 0.27395 0.15521