Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node38802.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 38802 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
Size2434
Compressed Size965
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 2426
Compressed Size974
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
/6 +10 *16 <2
<=6 >6 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01652 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.01141 0.00700
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.01575 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00860 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01085 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01114 0.00900
Z3 z3 4.4.0 default unsat ✅ 6.08358 6.08607
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01152 0.01155
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05235 0.05277
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.05485 0.05435
Z3 z3-4.4.1 default unsat ✅ 390.32300 390.48100
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01351 0.01315
Redlog Redlog default unsat ✅ 0.15198 0.15158
Vampire vampire4.2-smt vampire unsat ✅ 0.04451 0.03867
veriT veriT+Redlog_20170618 default unsat ✅ 0.14676 0.14669
Z3 z3-4.5.0 default unsat ✅ 0.04479 0.04415
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01479 0.01276
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.07628 0.10854
Z3 z3-4.7.1_default unsat ✅ 16.01900 16.01780
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.01819 0.01853
Par4 Par4-wrapped-sq_default unsat ✅ 0.02380 0.00692
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.36387 3.47505
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.53580 3.38904
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.10108 0.09582
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.08395 0.14652
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 1.80989 1.80999
z3-4.7.1_default unsat ✅ 1.92921 1.92913
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01733 0.01760
Par4 Par4-wrapped-sq_default unsat ✅ 0.02263 0.00596
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.45975 3.59038
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.07992 0.05053
Z3 z3-4.8.8_default unsat ✅ 0.03376 0.03371
SMT-COMP 2021 CVC4 CVC4-sq-final_default unsat ✅ 0.01782 0.01818
cvc5 cvc5-fixed_default unsat ✅ 0.01983 0.02033
Par4 Par4-wrapped-sq_default unsat ✅ 0.02404 0.00630
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unsat ✅ 6.93761 4.70638
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05883 0.05523
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03407 0.03412
Z3 z3-4.8.11_default unsat ✅ 0.02274 0.02020
z3-4.8.8_default unsat ✅ 0.03485 0.03483
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02747 0.02806
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unsat ✅ 2.74766 4.66203
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.05085 0.05082
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03414 0.03420
Z3 z3-4.8.17_default unsat ✅ 0.01940 0.02122
z3-4.8.11_default unsat ✅ 0.01860 0.01856
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.01920 0.01973
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65248 0.31026
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unsat ✅ 2.82657 4.76789
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.05167 0.05162
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03444 0.03446
Z3 z3-4.8.11_default unsat ✅ 0.01905 0.01899
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.25973 0.15918
iProver iProver v3.9 unsat ✅ 0.87979 0.42616
SMTInterpol SMTInterpol unsat ✅ 0.49152 0.67270
SMT-RAT SMT-RAT unsat ✅ 1.13876 1.03859
YicesQS YicesQS unsat ✅ 0.23909 0.13875
SMT-COMP 2025 cvc5 cvc5 unsat ✅ 0.28359 0.16073
iProver iProver v3.9.3 unsat ✅ 0.89204 0.45499
SMTInterpol SMTInterpol unsat ✅ 0.50588 0.65256
SMT-RAT SMT-RAT unsat ✅ 0.24861 0.13285
UltimateEliminator UltimateEliminator+MathSAT unsat ✅ 1.90487 3.85525
YicesQS YicesQS unsat ✅ 0.31015 0.18324
Z3alpha Z3-alpha unsat ✅ 0.35751 0.24972
Z3 Z3-alpha-base unsat ✅ 0.27685 0.15777