Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node53595.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 53595 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
Size1938
Compressed Size860
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 1930
Compressed Size869
Max. Term Depth21
Asserts 1
Declared Functions0
Declared Constants12
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and15 =>2
=3 exists1 let2 Real1
/1 +3 -1 *4
<=6 >4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01636 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03680 0.02399
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02255 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00876 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01415 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01339 0.01100
Z3 z3 4.4.0 default unsat ✅ 0.04038 0.03999
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01368 0.01385
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05372 0.05395
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.09041 0.04077
Z3 z3-4.4.1 default unsat ✅ 0.04140 0.04262
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01508 0.01433
Redlog Redlog default unsat ✅ 0.15305 0.15358
Vampire vampire4.2-smt vampire unsat ✅ 0.04097 0.04072
veriT veriT+Redlog_20170618 default unsat ✅ 0.14913 0.14929
Z3 z3-4.5.0 default unsat ✅ 0.04229 0.04220
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01895 0.01912
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.91778 3.31000
Z3 z3-4.7.1_default unsat ✅ 0.04814 0.04805
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02057 0.02090
Par4 Par4-wrapped-sq_default unsat ✅ 0.02720 0.00566
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.37015 3.47738
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.28861 3.38488
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.17223 0.11055
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.17433 0.25126
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04396 0.04395
z3-4.7.1_default unsat ✅ 0.04393 0.04389
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01952 0.01983
Par4 Par4-wrapped-sq_default unsat ✅ 0.03029 0.00804
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.45779 3.53170
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.06203 0.05836
Z3 z3-4.8.8_default unsat ✅ 0.03394 0.03392
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02012 0.02044
cvc5 cvc5-fixed_default unsat ✅ 0.02328 0.02382
Par4 Par4-wrapped-sq_default unsat ✅ 0.02883 0.00617
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.06897 5.29326
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.14344 0.13076
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03304 0.03308
Z3 z3-4.8.11_default unsat ✅ 0.01879 0.01877
z3-4.8.8_default unsat ✅ 0.03522 0.03516
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03150 0.03082
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.96526 4.88778
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.14778 0.14769
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03214 0.03217
Z3 z3-4.8.17_default unsat ✅ 0.01905 0.02076
z3-4.8.11_default unsat ✅ 0.02035 0.02033
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02291 0.02337
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65263 1.02000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.97422 5.12292
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.12917 0.06911
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03373 0.03375
Z3 z3-4.8.11_default unsat ✅ 0.01866 0.01861
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22774 0.12840
iProver iProver v3.9 unsat ✅ 0.87074 1.60364
SMTInterpol SMTInterpol unsat ✅ 0.53733 0.74576
SMT-RAT SMT-RAT unsat ✅ 0.27428 0.14597
YicesQS YicesQS unsat ✅ 0.23163 0.13187
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.30360 0.17589
iProver iProver v3.9.3 unsat ✅ 0.97347 2.00491
SMTInterpol SMTInterpol unsat ✅ 0.56174 0.69256
SMT-RAT SMT-RAT unsat ✅ 0.29709 0.16425
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.14563 4.38956
YicesQS YicesQS unsat ✅ 0.29301 0.17182
Z3alpha Z3-alpha unsat ✅ 0.40302 0.28200
Z3 Z3-alpha-base unsat ✅ 0.27329 0.15608