Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node44023.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 44023 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
Size2354
Compressed Size936
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 2346
Compressed Size945
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 and18 =>2
=3 exists1 let1 Real1
/4 +7 *12 <2
<=6 >6 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01632 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.01833 0.00700
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.01578 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00874 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01106 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01174 0.00900
Z3 z3 4.4.0 default unsat ✅ 1.90206 1.90271
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01237 0.01198
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05044 0.05084
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.05209 0.05195
Z3 z3-4.4.1 default unsat ✅ 2.58631 2.58923
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01329 0.01240
Redlog Redlog default unsat ✅ 0.14723 0.14778
Vampire vampire4.2-smt vampire unsat ✅ 0.03953 0.03950
veriT veriT+Redlog_20170618 default unsat ✅ 0.14489 0.14603
Z3 z3-4.5.0 default unsat ✅ 0.04298 0.04198
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01316 0.01334
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.10797 0.14684
Z3 z3-4.7.1_default unsat ✅ 1.92992 1.92994
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.01754 0.01795
Par4 Par4-wrapped-sq_default unsat ✅ 0.02280 0.00593
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.47446 3.42088
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.43839 3.40262
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.10228 0.10129
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.08431 0.14850
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.62679 0.62677
z3-4.7.1_default unsat ✅ 0.65792 0.65787
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01647 0.01675
Par4 Par4-wrapped-sq_default unsat ✅ 0.02462 0.00826
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.45602 3.48218
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05003 0.04677
Z3 z3-4.8.8_default unsat ✅ 0.03370 0.03365
SMT-COMP 2021 CVC4 CVC4-sq-final_default unsat ✅ 0.01723 0.01753
cvc5 cvc5-fixed_default unsat ✅ 0.01931 0.01989
Par4 Par4-wrapped-sq_default unsat ✅ 0.02492 0.00624
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unsat ✅ 2.83939 4.72562
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05631 0.05495
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03424 0.03428
Z3 z3-4.8.11_default unsat ✅ 0.01856 0.01853
z3-4.8.8_default unsat ✅ 0.03419 0.03416
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.04971 0.05009
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unsat ✅ 2.94382 4.61398
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.05077 0.05070
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03482 0.03485
Z3 z3-4.8.17_default unsat ✅ 0.01901 0.02077
z3-4.8.11_default unsat ✅ 0.01840 0.01838
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.01993 0.02045
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65066 0.30735
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unsat ✅ 3.00696 4.82276
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.05370 0.05335
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03469 0.03473
Z3 z3-4.8.11_default unsat ✅ 0.01779 0.01775
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.25263 0.15070
iProver iProver v3.9 unsat ✅ 0.85198 0.41111
SMTInterpol SMTInterpol unsat ✅ 0.50524 0.68586
SMT-RAT SMT-RAT unsat ✅ 1.78457 1.68263
YicesQS YicesQS unsat ✅ 0.23915 0.13964
SMT-COMP 2025 cvc5 cvc5 unsat ✅ 0.29730 0.16889
iProver iProver v3.9.3 unsat ✅ 0.90989 0.46103
SMTInterpol SMTInterpol unsat ✅ 0.53470 0.63547
SMT-RAT SMT-RAT unsat ✅ 0.26701 0.14643
UltimateEliminator UltimateEliminator+MathSAT unsat ✅ 1.93289 4.16017
YicesQS YicesQS unsat ✅ 0.27663 0.15740
Z3alpha Z3-alpha unsat ✅ 0.37639 0.26633
Z3 Z3-alpha-base unsat ✅ 0.27832 0.15988