Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node39751.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 39751 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
Size2426
Compressed Size967
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 2418
Compressed Size976
Max. Term Depth23
Asserts 1
Declared Functions0
Declared Constants13
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and17 =>2
=2 exists1 let2 Real1
/6 +10 -1 *16
<2 <=6 >6 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.02144 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.30901 0.29095
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 25.07760 25.08020
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00859 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.03000 2400.97000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.60300 360.73600
Z3 z3 4.4.0 default unsat ✅ 25.76350 25.77410
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.29879 0.29970
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.46181 0.46248
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.49415 0.51487
Z3 z3-4.4.1 default unsat ✅ 0.83539 0.83736
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.07045 0.06959
Redlog Redlog default unsat ✅ 0.24774 0.24840
Vampire vampire4.2-smt vampire unsat ✅ 0.07727 0.07569
veriT veriT+Redlog_20170618 default unsat ✅ 0.21335 0.21589
Z3 z3-4.5.0 default unsat ✅ 0.04489 0.04412
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.03370 0.03391
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.10570 0.14622
Z3 z3-4.7.1_default unsat ✅ 11.58930 11.58860
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.03793 0.03826
Par4 Par4-wrapped-sq_default unsat ✅ 0.04743 0.00994
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.33779 3.50121
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.34219 3.46879
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.19001 0.10483
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.09560 0.15027
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 2.86721 2.86703
z3-4.7.1_default unsat ✅ 3.05180 3.05142
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.03813 0.03847
Par4 Par4-wrapped-sq_default unsat ✅ 0.04356 0.00680
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.40264 3.55677
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.08957 0.09039
Z3 z3-4.8.8_default unsat ✅ 0.03553 0.03546
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.03922 0.03959
cvc5 cvc5-fixed_default unsat ✅ 0.05225 0.05264
Par4 Par4-wrapped-sq_default unsat ✅ 0.04684 0.00808
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.04000 1203.78000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.11725 0.11344
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03762 0.03766
Z3 z3-4.8.11_default unsat ✅ 0.01941 0.01938
z3-4.8.8_default unsat ✅ 0.03557 0.03554
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.07803 0.07858
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.11000 1203.86000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.11388 0.11156
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03763 0.03768
Z3 z3-4.8.17_default unsat ✅ 0.02060 0.02239
z3-4.8.11_default unsat ✅ 0.01999 0.01995
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.04299 0.04351
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65162 1.95000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.11798 5.41851
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.10910 0.10872
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03588 0.03588
Z3 z3-4.8.11_default unsat ✅ 0.01997 0.01992
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.24378 0.13825
iProver iProver v3.9 unsat ✅ 0.88789 1.45149
SMTInterpol SMTInterpol unknown ❌ 0.57084 0.95312
SMT-RAT SMT-RAT unsat ✅ 1.25189 1.15187
YicesQS YicesQS unsat ✅ 0.24224 0.14225
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.31233 0.18443
iProver iProver v3.9.3 unsat ✅ 0.89679 1.37021
SMTInterpol SMTInterpol unknown ❌ 0.59139 0.90708
SMT-RAT SMT-RAT unsat ✅ 0.27918 0.15069
UltimateEliminator UltimateEliminator+MathSAT unsat ✅ 2.05629 4.38043
YicesQS YicesQS unsat ✅ 0.27009 0.15209
Z3alpha Z3-alpha unsat ✅ 0.37727 0.30912
Z3 Z3-alpha-base unsat ✅ 0.27813 0.16110